From: bangerth Date: Fri, 7 Oct 2011 22:46:34 +0000 (+0000) Subject: Remove unfinished tutorial programs from the branch. X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=dc63dbc5b1780f462df30f62c4b2e3cb07f28beb;p=dealii-svn.git Remove unfinished tutorial programs from the branch. git-svn-id: https://svn.dealii.org/branches/releases/Branch-7-1@24572 0785d39b-7218-0410-832d-ea1e28bc413d --- diff --git a/deal.II/examples/step-26/Makefile b/deal.II/examples/step-26/Makefile deleted file mode 100644 index d1f8135f29..0000000000 --- a/deal.II/examples/step-26/Makefile +++ /dev/null @@ -1,143 +0,0 @@ -# $Id$ - - -# For the small projects Makefile, you basically need to fill in only -# four fields. -# -# The first is the name of the application. It is assumed that the -# application name is the same as the base file name of the single C++ -# file from which the application is generated. -target = step-26 - -# The second field determines whether you want to run your program in -# debug or optimized mode. The latter is significantly faster, but no -# run-time checking of parameters and internal states is performed, so -# you should set this value to `on' while you develop your program, -# and to `off' when running production computations. -debug-mode = on - - -# As third field, we need to give the path to the top-level deal.II -# directory. You need to adjust this to your needs. Since this path is -# probably the most often needed one in the Makefile internals, it is -# designated by a single-character variable, since that can be -# reference using $D only, i.e. without the parentheses that are -# required for most other parameters, as e.g. in $(target). -D = ../../ - - -# The last field specifies the names of data and other files that -# shall be deleted when calling `make clean'. Object and backup files, -# executables and the like are removed anyway. Here, we give a list of -# files in the various output formats that deal.II supports. -clean-up-files = *gmv *gnuplot *gpl *eps *pov *vtk *ucd *.d2 - - - - -# -# -# Usually, you will not need to change anything beyond this point. -# -# -# The next statement tells the `make' program where to find the -# deal.II top level directory and to include the file with the global -# settings -include $D/common/Make.global_options - - -# Since the whole project consists of only one file, we need not -# consider difficult dependencies. We only have to declare the -# libraries which we want to link to the object file. deal.II has two -# libraries: one for the debug mode version of the -# application and one for optimized mode. -libs.g := $(lib-deal2.g) -libs.o := $(lib-deal2.o) - - -# We now use the variable defined above to switch between debug and -# optimized mode to select the set of libraries to link with. Included -# in the list of libraries is the name of the object file which we -# will produce from the single C++ file. Note that by default we use -# the extension .g.o for object files compiled in debug mode and .o for -# object files in optimized mode (or whatever local default on your -# system is instead of .o) -ifeq ($(debug-mode),on) - libraries = $(target).g.$(OBJEXT) $(libs.g) -else - libraries = $(target).$(OBJEXT) $(libs.o) -endif - - -# Now comes the first production rule: how to link the single object -# file produced from the single C++ file into the executable. Since -# this is the first rule in the Makefile, it is the one `make' selects -# if you call it without arguments. -$(target)$(EXEEXT) : $(libraries) - @echo ============================ Linking $@ - @$(CXX) -o $@ $^ $(LIBS) $(LDFLAGS) - - -# To make running the application somewhat independent of the actual -# program name, we usually declare a rule `run' which simply runs the -# program. You can then run it by typing `make run'. This is also -# useful if you want to call the executable with arguments which do -# not change frequently. You may then want to add them to the -# following rule: -run: $(target)$(EXEEXT) - @echo ============================ Running $< - @./$(target)$(EXEEXT) - - -# As a last rule to the `make' program, we define what to do when -# cleaning up a directory. This usually involves deleting object files -# and other automatically created files such as the executable itself, -# backup files, and data files. Since the latter are not usually quite -# diverse, you needed to declare them at the top of this file. -clean: - -rm -f *.$(OBJEXT) *~ Makefile.dep $(target)$(EXEEXT) $(clean-up-files) - - -# Since we have not yet stated how to make an object file from a C++ -# file, we should do so now. Since the many flags passed to the -# compiler are usually not of much interest, we suppress the actual -# command line using the `at' sign in the first column of the rules -# and write the string indicating what we do instead. -./%.g.$(OBJEXT) : - @echo "==============debug========= $( $@" - @$(CXX) $(CXXFLAGS.g) -c $< -o $@ -./%.$(OBJEXT) : - @echo "==============optimized===== $( $@" - @$(CXX) $(CXXFLAGS.o) -c $< -o $@ - - -# The following statement tells make that the rules `run' and `clean' -# are not expected to produce files of the same name as Makefile rules -# usually do. -.PHONY: run clean - - -# Finally there is a rule which you normally need not care much about: -# since the executable depends on some include files from the library, -# besides the C++ application file of course, it is necessary to -# re-generate the executable when one of the files it depends on has -# changed. The following rule creates a dependency file -# `Makefile.dep', which `make' uses to determine when to regenerate -# the executable. This file is automagically remade whenever needed, -# i.e. whenever one of the cc-/h-files changed. Make detects whether -# to remake this file upon inclusion at the bottom of this file. -# -# If the creation of Makefile.dep fails, blow it away and fail -Makefile.dep: $(target).cc Makefile \ - $(shell echo $D/include/deal.II/*/*.h) - @echo ============================ Remaking $@ - @$D/common/scripts/make_dependencies $(INCLUDE) -B. $(target).cc \ - > $@ \ - || (rm -f $@ ; false) - @if test -s $@ ; then : else rm $@ ; fi - -# To make the dependencies known to `make', we finally have to include -# them: -include Makefile.dep - - diff --git a/deal.II/examples/step-26/doc/builds-on b/deal.II/examples/step-26/doc/builds-on deleted file mode 100644 index 48a0f73876..0000000000 --- a/deal.II/examples/step-26/doc/builds-on +++ /dev/null @@ -1 +0,0 @@ -step-4 diff --git a/deal.II/examples/step-26/doc/intro.dox b/deal.II/examples/step-26/doc/intro.dox deleted file mode 100644 index c59cfdf609..0000000000 --- a/deal.II/examples/step-26/doc/intro.dox +++ /dev/null @@ -1,2 +0,0 @@ - -

Introduction

diff --git a/deal.II/examples/step-26/doc/kind b/deal.II/examples/step-26/doc/kind deleted file mode 100644 index c1d9154931..0000000000 --- a/deal.II/examples/step-26/doc/kind +++ /dev/null @@ -1 +0,0 @@ -techniques diff --git a/deal.II/examples/step-26/doc/results.dox b/deal.II/examples/step-26/doc/results.dox deleted file mode 100644 index f4c6feefb5..0000000000 --- a/deal.II/examples/step-26/doc/results.dox +++ /dev/null @@ -1 +0,0 @@ -

Results

diff --git a/deal.II/examples/step-26/doc/step-26.surface.png b/deal.II/examples/step-26/doc/step-26.surface.png deleted file mode 100644 index 8502bbc908..0000000000 Binary files a/deal.II/examples/step-26/doc/step-26.surface.png and /dev/null differ diff --git a/deal.II/examples/step-26/doc/step-26.volume.png b/deal.II/examples/step-26/doc/step-26.volume.png deleted file mode 100644 index 37d843faeb..0000000000 Binary files a/deal.II/examples/step-26/doc/step-26.volume.png and /dev/null differ diff --git a/deal.II/examples/step-26/doc/tooltip b/deal.II/examples/step-26/doc/tooltip deleted file mode 100644 index 7b3e8b447a..0000000000 --- a/deal.II/examples/step-26/doc/tooltip +++ /dev/null @@ -1 +0,0 @@ -Complicated boundary descriptions. diff --git a/deal.II/examples/step-26/step-26.cc b/deal.II/examples/step-26/step-26.cc deleted file mode 100644 index 6124d3d052..0000000000 --- a/deal.II/examples/step-26/step-26.cc +++ /dev/null @@ -1,807 +0,0 @@ -/* $Id$ */ -/* Author: Wolfgang Bangerth, University of Heidelberg, 1999 */ - -/* $Id$ */ -/* */ -/* Copyright (C) 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2011 by the deal.II authors */ -/* */ -/* This file is subject to QPL and may not be distributed */ -/* without copyright and license information. Please refer */ -/* to the file deal.II/doc/license.html for the text and */ -/* further information on this license. */ - - // @sect3{Include files} - - // The first few (many?) include - // files have already been used in - // the previous example, so we will - // not explain their meaning here - // again. -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include - -#include -#include -#include - - // This is new, however: in the previous - // example we got some unwanted output from - // the linear solvers. If we want to suppress - // it, we have to include this file and add a - // single line somewhere to the program (see - // the main() function below for that): -#include - - -#include -#include - - // The last step is as in all - // previous programs: -namespace Step26 -{ - using namespace dealii; - - class PointCloudSurface : public StraightBoundary<3> - { - public: - /** - * Constructor. - */ - PointCloudSurface (const std::string &filename); - - /** - * Let the new point be the - * arithmetic mean of the two - * vertices of the line. - * - * Refer to the general - * documentation of this class - * and the documentation of the - * base class for more - * information. - */ - virtual Point<3> - get_new_point_on_line (const Triangulation<3>::line_iterator &line) const; - - /** - * Let the new point be the - * arithmetic mean of the four - * vertices of this quad and the - * four midpoints of the lines, - * which are already created at - * the time of calling this - * function. - * - * Refer to the general - * documentation of this class - * and the documentation of the - * base class for more - * information. - */ - virtual Point<3> - get_new_point_on_quad (const Triangulation<3>::quad_iterator &quad) const; - - /** - * Gives n=points.size() - * points that splits the - * StraightBoundary line into - * $n+1$ partitions of equal - * lengths. - * - * Refer to the general - * documentation of this class - * and the documentation of the - * base class. - */ - virtual void - get_intermediate_points_on_line (const Triangulation<3>::line_iterator &line, - std::vector > &points) const; - - /** - * Gives n=points.size()=m*m - * points that splits the - * p{StraightBoundary} quad into - * (m+1)(m+1) subquads of equal - * size. - * - * Refer to the general - * documentation of this class - * and the documentation of the - * base class. - */ - virtual void - get_intermediate_points_on_quad (const Triangulation<3>::quad_iterator &quad, - std::vector > &points) const; - - /** - * A function that, given a point - * p, returns the closest - * point on the surface defined by the - * input file. For the time being, we - * simply return the closest point in the - * point cloud, rather than doing any - * sort of interpolation. - */ - Point<3> closest_point (const Point<3> &p) const; - private: - std::vector > point_list; - }; - - - PointCloudSurface::PointCloudSurface (const std::string &filename) - { - // first read in all the points - { - std::ifstream in (filename.c_str()); - AssertThrow (in, ExcIO()); - - while (in) - { - Point<3> p; - in >> p; - point_list.push_back (p); - } - - AssertThrow (point_list.size() > 1, ExcIO()); - } - - // next fit a linear model through the data - // cloud to rectify it in a local - // coordinate system - // - // the first step is to move the center of - // mass of the points to the origin - { - const Point<3> c_o_m = std::accumulate (point_list.begin(), - point_list.end(), - Point<3>()) / - point_list.size(); - for (unsigned int i=0; i gradient_direction - = Point<2>(a,b) / std::sqrt(a*a+b*b); - const Point<2> orthogonal_direction - = Point<2>(-b,a) / std::sqrt(a*a+b*b); - - const double stretch_factor = std::sqrt(1.+a*a+b*b); - - for (unsigned int i=0; i xy (point_list[i][0], - point_list[i][1]); - const double grad_distance = xy * gradient_direction; - const double orth_distance = xy * orthogonal_direction; - - // we then have to stretch the points - // in the gradient direction. the - // stretch factor is defined above - // (zero if the original plane was - // already the xy plane, infinity if - // it was vertical) - const Point<2> new_xy - = (grad_distance * stretch_factor * gradient_direction + - orth_distance * orthogonal_direction); - point_list[i][0] = new_xy[0]; - point_list[i][1] = new_xy[1]; - } - } - } - - - Point<3> - PointCloudSurface::closest_point (const Point<3> &p) const - { - double distance = p.distance (point_list[0]); - Point<3> point = point_list[0]; - - for (std::vector >::const_iterator i=point_list.begin(); - i != point_list.end(); ++i) - { - const double d = p.distance (*i); - if (d < distance) - { - distance = d; - point = *i; - } - } - - return point; - } - - - Point<3> - PointCloudSurface:: - get_new_point_on_line (const Triangulation<3>::line_iterator &line) const - { - return closest_point (StraightBoundary<3>::get_new_point_on_line (line)); - } - - - - Point<3> - PointCloudSurface:: - get_new_point_on_quad (const Triangulation<3>::quad_iterator &quad) const - { - return closest_point (StraightBoundary<3>::get_new_point_on_quad (quad)); - } - - - - void - PointCloudSurface:: - get_intermediate_points_on_line (const Triangulation<3>::line_iterator &line, - std::vector > &points) const - { - StraightBoundary<3>::get_intermediate_points_on_line (line, - points); - for (unsigned int i=0; i::quad_iterator &quad, - std::vector > &points) const - { - StraightBoundary<3>::get_intermediate_points_on_quad (quad, - points); - for (unsigned int i=0; iLaplaceProblem class template} - - // This is again the same - // LaplaceProblem class as in the - // previous example. The only - // difference is that we have now - // declared it as a class with a - // template parameter, and the - // template parameter is of course - // the spatial dimension in which we - // would like to solve the Laplace - // equation. Of course, several of - // the member variables depend on - // this dimension as well, in - // particular the Triangulation - // class, which has to represent - // quadrilaterals or hexahedra, - // respectively. Apart from this, - // everything is as before. - template - class LaplaceProblem - { - public: - LaplaceProblem (); - void run (); - - private: - void make_grid_and_dofs (); - void assemble_system (); - void solve (); - void output_results () const; - - Triangulation triangulation; - FE_Q fe; - DoFHandler dof_handler; - - SparsityPattern sparsity_pattern; - SparseMatrix system_matrix; - - Vector solution; - Vector system_rhs; - }; - - - // @sect3{Right hand side and boundary values} - - - - - template - class BoundaryValues : public Function - { - public: - BoundaryValues () : Function() {} - - virtual double value (const Point &p, - const unsigned int component = 0) const; - }; - - - - template - double BoundaryValues::value (const Point &p, - const unsigned int /*component*/) const - { - return std::max(p[dim-1], -5.); - } - - - - // @sect3{Implementation of the LaplaceProblem class} - - // Next for the implementation of the class - // template that makes use of the functions - // above. As before, we will write everything - // as templates that have a formal parameter - // dim that we assume unknown at the time - // we define the template functions. Only - // later, the compiler will find a - // declaration of LaplaceProblem@<2@> (in - // the main function, actually) and - // compile the entire class with dim - // replaced by 2, a process referred to as - // `instantiation of a template'. When doing - // so, it will also replace instances of - // RightHandSide@ by - // RightHandSide@<2@> and instantiate the - // latter class from the class template. - // - // In fact, the compiler will also find a - // declaration LaplaceProblem@<3@> in - // main(). This will cause it to again go - // back to the general - // LaplaceProblem@ template, replace - // all occurrences of dim, this time by - // 3, and compile the class a second - // time. Note that the two instantiations - // LaplaceProblem@<2@> and - // LaplaceProblem@<3@> are completely - // independent classes; their only common - // feature is that they are both instantiated - // from the same general template, but they - // are not convertible into each other, for - // example, and share no code (both - // instantiations are compiled completely - // independently). - - - // @sect4{LaplaceProblem::LaplaceProblem} - - // After this introduction, here is the - // constructor of the LaplaceProblem - // class. It specifies the desired polynomial - // degree of the finite elements and - // associates the DoFHandler to the - // triangulation just as in the previous - // example program, step-3: - template - LaplaceProblem::LaplaceProblem () : - fe (1), - dof_handler (triangulation) - {} - - - // @sect4{LaplaceProblem::make_grid_and_dofs} - - // Grid creation is something - // inherently dimension - // dependent. However, as long as the - // domains are sufficiently similar - // in 2D or 3D, the library can - // abstract for you. In our case, we - // would like to again solve on the - // square [-1,1]x[-1,1] in 2D, or on - // the cube [-1,1]x[-1,1]x[-1,1] in - // 3D; both can be termed - // hyper_cube, so we may use the - // same function in whatever - // dimension we are. Of course, the - // functions that create a hypercube - // in two and three dimensions are - // very much different, but that is - // something you need not care - // about. Let the library handle the - // difficult things. - // - // Likewise, associating a degree of freedom - // with each vertex is something which - // certainly looks different in 2D and 3D, - // but that does not need to bother you - // either. This function therefore looks - // exactly like in the previous example, - // although it performs actions that in their - // details are quite different if dim - // happens to be 3. The only significant - // difference from a user's perspective is - // the number of cells resulting, which is - // much higher in three than in two space - // dimensions! - template - void LaplaceProblem::make_grid_and_dofs () - { - GridGenerator::hyper_cube (triangulation, -30, 30); - - for (unsigned int f=0; f::faces_per_cell; ++f) - if (triangulation.begin()->face(f)->center()[2] > 15) - { - triangulation.begin()->face(f)->set_boundary_indicator (1); - for (unsigned int i=0; i::lines_per_face; ++i) - triangulation.begin()->face(f)->line(i)->set_boundary_indicator (1); - break; - } - triangulation.set_boundary (1, pds); - - - for (unsigned int v=0; v::vertices_per_cell; ++v) - if (triangulation.begin()->vertex(v)[2] > 0) - triangulation.begin()->vertex(v) - = pds.closest_point (Point<3>(triangulation.begin()->vertex(v)[0], - triangulation.begin()->vertex(v)[1], - 0)); - - for (unsigned int i=0; i<4; ++i) - { - for (typename Triangulation::active_cell_iterator - cell = triangulation.begin_active(); - cell != triangulation.end(); ++cell) - for (unsigned int f=0; f::faces_per_cell; ++f) - if (cell->face(f)->boundary_indicator() == 1) - cell->set_refine_flag (); - - triangulation.execute_coarsening_and_refinement (); - - std::cout << "Refinement cycle " << i << std::endl - << " Number of active cells: " - << triangulation.n_active_cells() - << std::endl - << " Total number of cells: " - << triangulation.n_cells() - << std::endl; - - } - - - dof_handler.distribute_dofs (fe); - - std::cout << " Number of degrees of freedom: " - << dof_handler.n_dofs() - << std::endl; - - sparsity_pattern.reinit (dof_handler.n_dofs(), - dof_handler.n_dofs(), - dof_handler.max_couplings_between_dofs()); - DoFTools::make_sparsity_pattern (dof_handler, sparsity_pattern); - sparsity_pattern.compress(); - - system_matrix.reinit (sparsity_pattern); - - solution.reinit (dof_handler.n_dofs()); - system_rhs.reinit (dof_handler.n_dofs()); - } - - - // @sect4{LaplaceProblem::assemble_system} - - // Unlike in the previous example, we - // would now like to use a - // non-constant right hand side - // function and non-zero boundary - // values. Both are tasks that are - // readily achieved with a only a few - // new lines of code in the - // assemblage of the matrix and right - // hand side. - // - // More interesting, though, is the - // way we assemble matrix and right - // hand side vector dimension - // independently: there is simply no - // difference to the - // two-dimensional case. Since the - // important objects used in this - // function (quadrature formula, - // FEValues) depend on the dimension - // by way of a template parameter as - // well, they can take care of - // setting up properly everything for - // the dimension for which this - // function is compiled. By declaring - // all classes which might depend on - // the dimension using a template - // parameter, the library can make - // nearly all work for you and you - // don't have to care about most - // things. - template - void LaplaceProblem::assemble_system () - { - MatrixTools::create_laplace_matrix (dof_handler, - QGauss(2), - system_matrix); - system_rhs = 0; - - std::map boundary_values; - VectorTools::interpolate_boundary_values (dof_handler, - 0, - BoundaryValues(), - boundary_values); - MatrixTools::apply_boundary_values (boundary_values, - system_matrix, - solution, - system_rhs); - } - - - // @sect4{LaplaceProblem::solve} - - // Solving the linear system of - // equations is something that looks - // almost identical in most - // programs. In particular, it is - // dimension independent, so this - // function is copied verbatim from the - // previous example. - template - void LaplaceProblem::solve () - { - // NEW - SolverControl solver_control (dof_handler.n_dofs(), - 1e-12*system_rhs.l2_norm()); - SolverCG<> cg (solver_control); - - PreconditionSSOR<> preconditioner; - preconditioner.initialize(system_matrix, 1.2); - - cg.solve (system_matrix, solution, system_rhs, - preconditioner); - } - - - // @sect4{LaplaceProblem::output_results} - - // This function also does what the - // respective one did in step-3. No changes - // here for dimension independence either. - // - // The only difference to the previous - // example is that we want to write output in - // GMV format, rather than for gnuplot (GMV - // is another graphics program that, contrary - // to gnuplot, shows data in nice colors, - // allows rotation of geometries with the - // mouse, and generates reasonable - // representations of 3d data; for ways to - // obtain it see the ReadMe file of - // deal.II). To write data in this format, we - // simply replace the - // data_out.write_gnuplot call by - // data_out.write_gmv. - // - // Since the program will run both 2d and 3d - // versions of the laplace solver, we use the - // dimension in the filename to generate - // distinct filenames for each run (in a - // better program, one would check whether - // `dim' can have other values than 2 or 3, - // but we neglect this here for the sake of - // brevity). - template - void LaplaceProblem::output_results () const - { - DataOut data_out; - - data_out.attach_dof_handler (dof_handler); - data_out.add_data_vector (solution, "solution"); - - data_out.build_patches (); - - std::ofstream output (dim == 2 ? - "solution-2d.gmv" : - "solution-3d.gmv"); - data_out.write_gmv (output); - } - - - - // @sect4{LaplaceProblem::run} - - // This is the function which has the - // top-level control over - // everything. Apart from one line of - // additional output, it is the same - // as for the previous example. - template - void LaplaceProblem::run () - { - std::cout << "Solving problem in " << dim << " space dimensions." << std::endl; - - make_grid_and_dofs(); - assemble_system (); - solve (); - output_results (); - } -} - - - // @sect3{The main function} - - // And this is the main function. It also - // looks mostly like in step-3, but if you - // look at the code below, note how we first - // create a variable of type - // LaplaceProblem@<2@> (forcing the - // compiler to compile the class template - // with dim replaced by 2) and run a - // 2d simulation, and then we do the whole - // thing over in 3d. - // - // In practice, this is probably not what you - // would do very frequently (you probably - // either want to solve a 2d problem, or one - // in 3d, but not both at the same - // time). However, it demonstrates the - // mechanism by which we can simply change - // which dimension we want in a single place, - // and thereby force the compiler to - // recompile the dimension independent class - // templates for the dimension we - // request. The emphasis here lies on the - // fact that we only need to change a single - // place. This makes it rather trivial to - // debug the program in 2d where computations - // are fast, and then switch a single place - // to a 3 to run the much more computing - // intensive program in 3d for `real' - // computations. - // - // Each of the two blocks is enclosed in - // braces to make sure that the - // laplace_problem_2d variable goes out - // of scope (and releases the memory it - // holds) before we move on to allocate - // memory for the 3d case. Without the - // additional braces, the - // laplace_problem_2d variable would only - // be destroyed at the end of the function, - // i.e. after running the 3d problem, and - // would needlessly hog memory while the 3d - // run could actually use it. - // - // Finally, the first line of the function is - // used to suppress some output. Remember - // that in the previous example, we had the - // output from the linear solvers about the - // starting residual and the number of the - // iteration where convergence was - // detected. This can be suppressed through - // the deallog.depth_console(0) call. - // - // The rationale here is the following: the - // deallog (i.e. deal-log, not de-allog) - // variable represents a stream to which some - // parts of the library write output. It - // redirects this output to the console and - // if required to a file. The output is - // nested in a way so that each function can - // use a prefix string (separated by colons) - // for each line of output; if it calls - // another function, that may also use its - // prefix which is then printed after the one - // of the calling function. Since output from - // functions which are nested deep below is - // usually not as important as top-level - // output, you can give the deallog variable - // a maximal depth of nested output for - // output to console and file. The depth zero - // which we gave here means that no output is - // written. By changing it you can get more - // information about the innards of the - // library. -int main () -{ - try - { - using namespace dealii; - using namespace Step26; - - deallog.depth_console (0); - - LaplaceProblem<3> laplace_problem_3d; - laplace_problem_3d.run (); - } - catch (std::exception &exc) - { - std::cerr << std::endl << std::endl - << "----------------------------------------------------" - << std::endl; - std::cerr << "Exception on processing: " << std::endl - << exc.what() << std::endl - << "Aborting!" << std::endl - << "----------------------------------------------------" - << std::endl; - - return 1; - } - catch (...) - { - std::cerr << std::endl << std::endl - << "----------------------------------------------------" - << std::endl; - std::cerr << "Unknown exception!" << std::endl - << "Aborting!" << std::endl - << "----------------------------------------------------" - << std::endl; - return 1; - } - - return 0; -} diff --git a/deal.II/examples/step-26/surface-points b/deal.II/examples/step-26/surface-points deleted file mode 100644 index 06c17bc98d..0000000000 --- a/deal.II/examples/step-26/surface-points +++ /dev/null @@ -1,199202 +0,0 @@ - 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99.396538 52.507469 12.551688 - 99.397713 49.162937 11.720798 - 99.398926 65.519226 19.338171 - 9.939933 42.668037 -13.208430 - 99.399666 54.714153 13.416262 - 99.400345 45.997414 10.885712 - 99.400558 64.654945 18.495012 - 99.400841 66.077492 19.332094 - 99.402992 66.936790 20.190466 - 99.406517 59.798103 16.001888 - 99.408371 66.260895 19.362024 - 99.410255 49.348351 11.777316 - 99.411507 65.887001 19.386621 - 99.412086 57.662285 14.303369 - 99.412834 46.183487 10.940733 - 99.415024 62.727245 16.853638 - 9.941651 57.037354 -7.360411 - 99.416885 54.897175 13.492524 - 99.420601 65.697128 19.433300 - 99.420631 67.972763 21.111767 - 99.422058 52.688942 12.667429 - 99.423141 49.533707 11.834130 - 9.942719 59.148106 -6.427759 - 99.431099 42.629517 10.175321 - 99.431114 55.081028 13.555394 - 99.432236 46.368114 11.029551 - 99.433975 59.098785 15.260811 - 99.436707 59.975239 16.138504 - 99.438637 57.841766 14.422199 - 99.440392 62.905159 16.966377 - 99.441101 64.826111 18.677420 - 99.441154 55.266037 13.598722 - 99.442787 42.816269 10.228058 - 99.445396 55.452690 13.614964 - 99.447586 52.870323 12.783237 - 99.447594 55.639927 13.621725 - 99.448563 49.716133 11.949018 - 99.449249 60.158241 16.191307 - 9.944954 54.331608 -8.333758 - 99.452301 67.103004 20.411949 - 99.452469 55.826458 13.638996 - 99.455673 60.343201 16.217619 - 99.456459 63.954720 17.893282 - 99.458313 43.002338 10.298243 - 99.459587 56.012268 13.668666 - 99.459801 66.426888 19.594259 - 99.460701 43.567947 10.301484 - 99.460892 49.901512 12.003156 - 99.462822 58.021843 14.531322 - 99.465897 43.378399 10.328087 - 99.468842 60.525959 16.273920 - 99.468880 50.087879 12.037066 - 99.469109 63.081665 17.095905 - 99.469452 43.755108 10.340463 - 99.469582 43.189129 10.347607 - 99.470222 53.052383 12.885503 - 99.473297 50.275040 12.055572 - 99.473900 65.000099 18.823410 - 99.475441 56.195427 13.739116 - 99.476845 50.462467 12.068623 - 99.476929 59.272278 15.455629 - 99.477859 46.547409 11.239974 - 99.484924 67.275833 20.557270 - 99.486336 50.648407 12.109485 - 99.488312 60.706459 16.360779 - 99.488937 58.201225 14.648865 - 9.949169 44.620461 -12.265386 - 99.492737 63.260067 17.200586 - 99.495026 56.377453 13.826984 - 99.495842 46.732101 11.322136 - 99.497856 50.833855 12.159923 - 9.950183 44.818489 -12.262967 - 99.502151 64.124397 18.099808 - 99.505394 53.231041 13.045779 - 99.505989 51.020096 12.193876 - 99.506874 46.918262 11.370333 - 99.508621 59.449253 15.598931 - 99.509430 47.294506 11.376004 - 99.510147 47.106003 11.381509 - 99.510986 60.885864 16.460567 - 99.512398 51.206776 12.220309 - 99.512589 65.171738 18.997223 - 99.512611 47.482258 11.387362 - 99.513573 53.416821 13.080480 - 99.517319 43.935307 10.561792 - 99.520683 58.378857 14.791864 - 99.520790 56.557644 13.942293 - 9.952424 51.619961 -9.338750 - 99.524590 66.587387 19.887487 - 99.525864 53.601490 13.134384 - 99.525902 67.445152 20.741037 - 99.526894 47.667561 11.452186 - 99.533211 62.000847 16.536839 - 99.534088 62.187717 16.535503 - 99.534225 61.813347 16.546425 - 99.534592 63.431698 17.389080 - 99.534966 44.120739 10.642528 - 99.538239 64.297447 18.263235 - 99.538605 61.063522 16.583944 - 99.538620 53.785992 13.190431 - 99.539841 61.624249 16.577276 - 99.541573 62.372128 16.566740 - 99.546272 59.624214 15.769123 - 99.546303 58.558205 14.907663 - 99.547714 51.386173 12.382109 - 99.548637 53.971203 13.233734 - 99.549454 44.306644 10.708433 - 99.551292 61.433247 16.633900 - 99.553352 61.245438 16.648916 - 99.557663 56.734303 14.110242 - 99.560432 54.155888 13.284737 - 99.561180 44.493095 10.759955 - 99.565613 47.847607 11.630252 - 99.566475 62.550373 16.677547 - 99.570435 67.612877 20.940567 - 99.570717 51.568474 12.487695 - 99.572350 65.335075 19.268377 - 99.572472 56.917534 14.175817 - 99.572884 58.737282 15.026580 - 99.572983 63.604462 17.562143 - 99.573555 48.034248 11.663958 - 99.574280 64.470497 18.424536 - 99.578186 44.678474 10.837661 - 99.579323 48.221233 11.688813 - 99.582855 44.866154 10.856018 - 99.583366 48.408688 11.704253 - 99.584511 57.101650 14.227104 - 99.585014 54.337048 13.394766 - 99.586548 66.748787 20.168236 - 99.587875 48.596024 11.721815 - 99.588799 51.752048 12.568798 - 99.588943 59.797276 15.964047 - 99.592163 45.052887 10.897565 - 9.959347 58.956078 -6.505693 - 99.595535 57.285988 14.275051 - 99.598007 54.521332 13.451966 - 9.959840 49.492638 -10.336828 - 99.598999 48.781761 11.771202 - 99.601662 58.915462 15.156550 - 99.603294 67.785263 21.086964 - 99.604691 62.723732 16.850100 - 99.604897 45.238934 10.955245 - 99.605225 66.067528 19.399818 - 99.607590 65.880325 19.416107 - 99.608719 63.778069 17.722918 - 99.608994 57.469494 14.333738 - 99.611649 48.967213 11.827042 - 99.612061 54.705235 13.514133 - 99.616287 45.425255 11.005183 - 99.617615 51.932781 12.700162 - 99.618019 64.640503 18.622004 - 99.622055 49.153133 11.872288 - 99.622833 65.501839 19.496075 - 99.624313 52.119141 12.728026 - 99.625893 45.611824 11.048156 - 99.626106 54.889130 13.576274 - 99.626114 65.686836 19.506428 - 99.626907 52.306541 12.736031 - 99.628998 59.971191 16.145384 - 99.630295 59.093643 15.285054 - 99.633720 45.798767 11.080759 - 9.963516 56.059002 -7.476933 - 99.635544 52.492359 12.772956 - 9.963593 54.139042 -8.421663 - 99.636589 57.648689 14.457614 - 99.638237 66.914093 20.401712 - 99.638855 66.240570 19.550352 - 99.638969 45.986172 11.103290 - 99.639183 55.073215 13.633239 - 99.643257 49.336536 11.968214 - 99.644363 62.896324 17.030148 - 9.964480 44.424858 -12.340479 - 99.646721 67.953148 21.282005 - 99.647003 60.152271 16.225624 - 99.648308 55.258430 13.672398 - 99.650833 64.814514 18.768990 - 99.652206 46.171989 11.161873 - 99.653259 55.444912 13.690613 - 99.655563 52.675159 12.863125 - 99.657150 57.829891 14.550034 - 99.657341 60.335968 16.268286 - 99.657951 55.631405 13.709031 - 99.658134 49.521297 12.035785 - 99.662163 63.944847 17.966507 - 99.663559 59.270191 15.436463 - 99.670372 60.518623 16.325350 - 99.672295 67.086357 20.553312 - 99.672356 55.814995 13.772834 - 9.967287 46.765934 -11.362288 - 99.676163 61.826759 16.319927 - 99.676476 61.639446 16.326239 - 99.677025 46.355408 11.276357 - 99.678154 49.704842 12.126154 - 99.678459 64.990402 18.891361 - 99.678764 52.857082 12.968238 - 99.682739 58.009441 14.665938 - 99.683723 55.999474 13.821873 - 99.684677 63.068680 17.212458 - 99.684692 62.010883 16.356123 - 99.689262 60.699333 16.408377 - 9.969228 42.473640 -13.347318 - 99.693718 49.889362 12.195580 - 99.694557 61.445915 16.415703 - 99.695580 62.194210 16.401867 - 99.696785 59.446690 15.586424 - 99.698669 56.182899 13.886822 - 9.969870 56.650982 -7.493515 - 99.698967 46.539383 11.375873 - 99.699883 53.039444 13.063558 - 99.703629 50.075207 12.237954 - 99.703842 67.259514 20.693920 - 99.707115 64.114761 18.169964 - 99.708092 60.880039 16.490471 - 99.709480 66.398819 19.871624 - 99.710129 50.261768 12.266268 - 99.711929 58.187855 14.797300 - 99.712898 50.449242 12.275712 - 99.713303 53.223831 13.122275 - 99.713432 46.724712 11.441700 - 99.714333 61.252003 16.511179 - 99.716484 63.244011 17.355257 - 99.717651 56.365017 13.972044 - 99.720406 65.160713 19.080559 - 99.720451 46.911633 11.471093 - 99.721748 50.635265 12.313705 - 99.721863 62.372028 16.518671 - 99.722137 47.099640 11.475466 - 99.723083 61.061897 16.556679 - 99.724823 47.287373 11.485889 - 99.725098 53.408573 13.173983 - 9.972901 49.297783 -10.401513 - 99.732597 50.820770 12.360997 - 99.733810 47.473824 11.523961 - 99.736221 58.367630 14.906514 - 99.738083 53.592991 13.231247 - 99.738632 67.431252 20.849514 - 99.740166 59.619621 15.784365 - 99.741112 56.545719 14.078215 - 99.744827 51.005898 12.414829 - 99.748260 64.285950 18.355743 - 99.750237 63.418510 17.506527 - 99.750748 53.777451 13.287013 - 99.752007 47.658245 11.607283 - 99.756638 51.191124 12.466690 - 9.975694 58.763874 -6.581076 - 99.757698 58.548355 15.001878 - 99.763763 53.961853 13.343053 - 99.764069 56.726494 14.181993 - 99.765373 47.843674 11.666517 - 99.769669 66.560982 20.144121 - 99.773026 51.375130 12.539430 - 99.774788 48.029949 11.707224 - 99.776604 62.539536 16.768358 - 99.777786 67.601074 21.024618 - 99.778877 58.729004 15.097206 - 99.778961 54.145523 13.410700 - 99.779541 63.594540 17.637705 - 99.780701 56.909203 14.254284 - 9.978109 48.904022 -10.435844 - 99.783615 48.216225 11.746490 - 99.784859 65.322182 19.373913 - 99.786179 59.791653 15.993851 - 9.978797 49.101543 -10.433401 - 9.978950 51.428375 -9.462043 - 99.790642 64.456520 18.546741 - 99.791763 54.329811 13.466501 - 99.793678 51.558002 12.632773 - 99.798546 57.091431 14.334145 - 99.800453 58.909546 15.193002 - 9.980282 53.945919 -8.500159 - 99.804565 54.514091 13.522948 - 99.811157 51.741570 12.712579 - 99.811234 67.773140 21.174026 - 99.813103 65.869919 19.489609 - 9.981438 42.276978 -13.409284 - 99.815964 57.273689 14.412080 - 99.817383 54.698288 13.579415 - 99.818306 63.766842 17.814167 - 99.820717 66.726616 20.375055 - 99.822548 51.926708 12.762508 - 99.822990 61.651234 16.120476 - 99.823120 59.089565 15.294690 - 99.823212 59.966427 16.162848 - 99.824684 65.679184 19.547922 - 99.825340 64.629860 18.702715 - 99.827423 65.491928 19.565371 - 99.830322 54.882442 13.636503 - 99.830429 57.456932 14.474803 - 99.832527 61.460609 16.170282 - 99.832924 52.112068 12.807611 - 99.833939 66.047981 19.580568 - 99.834114 61.834469 16.168802 - 99.834457 62.705620 17.033882 - 99.838333 52.298687 12.829450 - 99.841652 55.067017 13.686017 - 99.844131 60.146545 16.255472 - 99.845673 52.484783 12.859732 - 99.845757 64.808525 18.792540 - 99.847221 57.639309 14.549195 - 99.850555 55.252335 13.722189 - 99.852867 59.267277 15.428600 - 99.854424 60.330162 16.299297 - 99.854683 66.898903 20.527138 - 99.854736 62.014442 16.259949 - 99.859528 55.437515 13.760698 - 99.860222 67.938652 21.395058 - 99.862007 52.668484 12.932811 - 99.862282 61.263046 16.313772 - 9.986426 44.230129 -12.446037 - 99.865013 60.513702 16.343775 - 99.866707 57.820873 14.635386 - 99.868690 62.880207 17.187683 - 99.869034 64.986069 18.894987 - 99.874374 63.932655 18.069038 - 99.876442 55.620350 13.836384 - 99.877594 60.696529 16.397547 - 99.878815 67.075081 20.633181 - 99.882744 52.850967 13.026515 - 99.883293 61.068710 16.415190 - 9.988397 48.708549 -10.487426 - 99.886414 60.880543 16.435129 - 99.887962 62.189857 16.409904 - 99.889366 63.059582 17.278975 - 99.890221 59.442287 15.599425 - 99.891731 55.803642 13.904469 - 99.892960 58.000145 14.754607 - 9.989303 58.570900 -6.644942 - 99.896713 66.209381 19.866161 - 99.906609 55.987053 13.969194 - 99.906761 53.032536 13.135685 - 99.907623 67.249283 20.761419 - 99.913513 63.237652 17.386446 - 99.917328 65.153847 19.113947 - 99.920311 64.102112 18.277418 - 99.920998 56.170506 14.032515 - 99.923592 58.177933 14.894255 - 99.926003 53.215267 13.222380 - 9.992927 53.751884 -8.561370 - 99.935822 56.353779 14.098366 - 99.940186 67.421852 20.907030 - 99.941437 53.399075 13.289879 - 99.941696 62.357807 16.654789 - 99.943237 59.612103 15.841970 - 99.944984 63.412937 17.527386 - 99.945381 58.358532 14.990673 - 99.950729 66.374039 20.111197 - 99.953911 53.583557 13.344302 - 99.955971 56.535397 14.189234 - 9.996245 46.573074 -11.498395 - 99.962662 58.540436 15.067961 - 99.963776 64.272331 18.474363 - 99.973526 56.717819 14.266535 - 9.997534 42.080753 -13.489339 - 99.981133 67.590904 21.090704 - 99.981483 63.586147 17.693605 - 99.981560 58.721859 15.151418 - 99.984962 65.314011 19.422552 - 99.985909 59.785046 16.037029 - 99.990257 56.900345 14.340770 - 99.995491 66.542198 20.312881 diff --git a/deal.II/examples/step-41/CamClay.prm b/deal.II/examples/step-41/CamClay.prm deleted file mode 100644 index 404fbd435c..0000000000 --- a/deal.II/examples/step-41/CamClay.prm +++ /dev/null @@ -1,306 +0,0 @@ -# Listing of Parameters -# --------------------- -set Compute error = true -set Error file format = tex -set Output error tables = true - -# Comma separated list of names for the components. This will be used both for -# error tables in text format and to output the solution to a file. Note that -# in the case of a vector function the error name which is used to compute the -# norm (supposing the type of the other components is 'Add') is the first -# one. -set Solution names = u1,u2 - -# Comma separated version of the same thing as above for the latex version of -# the table. -set Solution names for latex = u1,u2 - -# Comma separated list of table names. -set Table names = error -set Write error files = false - - -subsection Dirichlet Data - # Any constant used inside the function which is not a variable name. - set Function constants = - - # Separate vector valued expressions by ';' as ',' is used internally by the - # function parser. - set Function expression = sin(2*pi*x)*cos(2*pi*y); cos(2*pi*x)*sin(2*pi*y) - - # The name of the variables as they will be used in the function, separated - # by ','. - set Variable names = x,y,t -end - - -subsection Domain Parameters - set Input mesh file = square - set Input mesh format = ucd - set Output mesh file = square_out - set Path of domain mesh files = mesh/ - - # If this is false, then the input mesh file below is ignored and a - # hyper-cube is created. - set Read domain mesh from file = false - - - subsection Grid Out Parameters - set Format = none - - - subsection DX - # Write all faces, not only boundary - set Write all faces = true - - # Write the mesh connectivity as DX grid cells - set Write cells = true - - # If cells are written, additionally write their diameter as data for - # visualization - set Write diameter = false - - # Write faces of cells. These may be boundary faces or all faces between - # mesh cells, according to "Write all faces" - set Write faces = false - - # Write the volume of each cell as data - set Write measure = false - end - - subsection Eps - # Azimuth of the viw point, that is, the angle in the plane from the - # x-axis. - set Azimuth = 30 - - # Number of points on boundary edges. Increase this beyond 2 to see - # curved boundaries. - set Boundary points = 2 - - # (2D only) Write cell numbers into the centers of cells - set Cell number = false - - # Draw lines with user flag set in different color - set Color by flag = false - - # Draw different colors according to grid level. - set Color by level = false - - # Elevation of the view point above the xy-plane. - set Elevation = 30 - - # (2D only) if "Cell number" is true, writenumbers in the form - # level.number - set Level number = false - - # Width of the lines drawn in points - set Line width = 0.5 - - # Size of the output in points - set Size = 300 - - # Depending on this parameter, either thewidth or height of the eps is - # scaled to "Size" - set Size by = width - - # Write numbers for each vertex - set Vertex number = false - end - - subsection Gnuplot - set Boundary points = 2 - set Cell number = false - end - - subsection Msh - set Write faces = false - set Write lines = false - end - - subsection Ucd - set Write faces = false - set Write lines = false - set Write preamble = true - end - - subsection XFig - set Boundary = true - set Boundary points = 0 - set Boundary style = 0 - set Boundary width = 3 - set Fill style = 20 - set Level color = false - set Level depth = true - set Line style = 0 - set Line width = 1 - end - - end - -end - - -subsection Elastic Moduli - # Any constant used inside the functions which is not a variable name. - set Function constants = - - # Separate different components expressions by ';' as ',' is used internally - # by the function parser. - set Row 1 = 0.5; 0.5; 0 - set Row 2 = 0.5; 0 - set Row 3 = 0.5 - - # The name of the variables as they will be used in the function, separated - # by ','. - set Variable names = x,y,t -end - - -subsection Exact Solution - # Any constant used inside the function which is not a variable name. - set Function constants = - - # Separate vector valued expressions by ';' as ',' is used internally by the - # function parser. - set Function expression = sin(2*pi*x)*cos(2*pi*y); cos(2*pi*x)*sin(2*pi*y) - - # The name of the variables as they will be used in the function, separated - # by ','. - set Variable names = x,y,t -end - - -subsection General Parameters - # Determines level of screen output - set Console Depth = 10 - - # Linear Solver Reduction Tolerance - set Linear Solver Reducation Tolerance = 1.0E-12 - - # Number of Convergence Cycles Past Initial Refinement - set Number of Convergence Cycles = 3 -end - - -subsection Loading Parameters - # End time for the simulation - set End Time for Simulation = 1.0 - - # Number of Loading Cycles to split time interval - set Number of Loading Steps = 3 -end - - -subsection Neumann Data - # Any constant used inside the function which is not a variable name. - set Function constants = - - # Separate vector valued expressions by ';' as ',' is used internally by the - # function parser. - set Function expression = 0; 0 - - # The name of the variables as they will be used in the function, separated - # by ','. - set Variable names = x,y,t -end - - -subsection Table 0 - # Evaluate convergence rates and add a column to the table for each computed - # norm. - set Add convergence rates = true - - # The extra columns to add to the table. - set Extra terms = cells,dofs - - # The caption that will go under the table if we write the file in tex - # format. The default value for this object is the same name as the table - # name. - set Latex table caption = error - - # Each component is separated by a semicolon, and each norm by a comma. - # Implemented norms are Linfty, L2, W1infty, H1 and Add, which means that - # the norm is added to the previous component. Useful for vector valued - # functions. - set List of error norms to compute = Linfty, L2, H1 ; Linfty, L2, H1 -end - - -subsection Vector Space Parameters - # Boundary indicator, followed by semicolomn and a list of components to - # which this boundary conditions apply. More boundary indicators can be - # separated by semicolumn. 1:0,1,4 ; 2,4:0,2 - set Dirichlet boundary map = 0,1,2,3:0,1 - - # Ordering of the degrees of freedom: none, comp, cuth. - set Dof ordering = cuth - - # The finite element space to use. For vector finite elements use the - # notation FESystem[FE_Q(2)^2-FE_DGP(1)] (e.g. Navier-Stokes). - set Finite element space = FESystem[FE_Q(1)^2] - - # Degree of the mapping. If 0 is used, then a Cartesian mapping is assumed. - set Mapping degree = 1 - - # Boundary indicators, followed by semicolomn and a list of components to - # which this boundary conditions apply. More boundary indicators can be - # separated by semicolumn. 1:0,1,4 ; 2,4:0,2 - set Neumann boundary map = - - # Boundary indicator, followed by semicolomn and a list of components to - # which this boundary conditions apply. More boundary indicators can be - # separated by semicolumn. 1:0,1,4 ; 2,4:0,2 - set Other boundary map = 3:0 - - - subsection Grid Parameters - set Bottom fraction = .3 - - # If this number is greater than zero, the mesh is distorted upon - # refinement in order to disrupt its structureness. - set Distortion coefficient = 0 - set Global refinement = 3 - - # A number of zero means no limit. - set Max number of cells = 0 - - # fixed_number: the Top/Bottom threshold fraction of cells are flagged for - # refinement/coarsening. fixed_fraction: the cells whose error is - # Top/Bottom fraction of the total are refined/coarsened. optmized: try to - # reach optimal error distribution, assuming error is divided by 4 upon - # refining. global: refine all cells. - set Refinement strategy = fixed_number - set Top fraction = .3 - end - -end - - -subsection Yield Stress - # Any constant used inside the function which is not a variable name. - set Function constants = - - # Separate vector valued expressions by ';' as ',' is used internally by the - # function parser. - set Function expression = 0 - - # The name of the variables as they will be used in the function, separated - # by ','. - set Variable names = x,y,t -end - - -subsection f - Body Source - # Any constant used inside the function which is not a variable name. - set Function constants = - - # Separate vector valued expressions by ';' as ',' is used internally by the - # function parser. - set Function expression = 8*pi*pi*sin(2*pi*x)*cos(2*pi*y); 8*pi*pi*cos(2*pi*x)*sin(2*pi*y) - - # The name of the variables as they will be used in the function, separated - # by ','. - set Variable names = x,y,t -end - - diff --git a/deal.II/examples/step-41/Makefile b/deal.II/examples/step-41/Makefile deleted file mode 100644 index 6ea309f791..0000000000 --- a/deal.II/examples/step-41/Makefile +++ /dev/null @@ -1,149 +0,0 @@ -# $Id$ - -# The large projects Makefile looks much like the one for small -# projects. Basically, only the following seven parameters need to be -# set by you: - -application-name = camclay - -# The first denotes the dimension for which the program is to be -# compiled: -deal_II_dimension = 2 - -# The second tells us the name of the executable. It is prefixed by -# `lib/' to designate its destination directory. Note that the program -# name depends on the dimension, so you can keep copies for the -# different dimensions around: -target = lib/$(application-name)-$(deal_II_dimension)d - -# The `debug-mode' variable works as in the small projects Makefile: -debug-mode = on - -# And so does the following variable. You will have to set it to -# something more reasonable, of course. -clean-up-files = *gmv *gnuplot *gpl *eps *pov *vtk *ucd *.d2 - -# Finally, here is a variable which tells the `run' rule which -# parameters to pass to the executable. Usually, this will be the name -# of an input file. -run-parameters = parameter-file.prm - -# Now, this is the last variable you need to set, namely the path to -# the deal.II toplevel directory: -D = ../../ - -# -# -# Usually, you will not need to change anything beyond this point. -# -# -# This tells `make' where to find the global settings and rules: -include $D/common/Make.global_options - - -################################################################ -# This example program will only work if Trilinos is installed. If this -# is not the case, then simply redefine the main targets to do nothing -ifneq ($(USE_CONTRIB_TRILINOS),yes) -default run clean: - @echo - @echo "===========================================================" - @echo "= This program cannot be compiled without Trilinos. Make=" - @echo "= sure you have Trilinos installed and detected during =" - @echo "= configuration of deal.II =" - @echo "===========================================================" - @echo - -else -# -################################################################ - - -# First get a list of files belonging to the project. Include files -# are expected in `include/', while implementation files are expected -# in `source/'. Object files are placed into `lib/[123]d', using the -# same base name as the `.cc' file. -cc-files = $(shell echo source/*.cc) -o-files = $(cc-files:source/%.cc=lib/$(deal_II_dimension)d/%.$(OBJEXT)) -go-files = $(cc-files:source/%.cc=lib/$(deal_II_dimension)d/%.g.$(OBJEXT)) -h-files = $(wildcard include/*.h) -lib-h-files = $(shell echo $D/include/deal.II/*/*.h) - -# Since the whole project consists of only one file, we need not -# consider difficult dependencies. We only have to declare the -# libraries which we want to link to the object file. deal.II has two -# libraries: one for the debug mode version of the -# application and one for optimized mode. -libs.g := $(lib-deal2.g) -libs.o := $(lib-deal2.o) - - - -# Now use the information from above to define the set of libraries to -# link with and the flags to be passed to the compiler: -ifeq ($(debug-mode),on) - libraries = $(go-files) $(libs.g) - flags = $(CXXFLAGS.g) -else - libraries = $(o-files) $(libs.o) - flags = $(CXXFLAGS.o) -endif - - -# Then augment the compiler flags by a specification of the dimension -# for which the program shall be compiled: -flags += -Ddeal_II_dimension=$(deal_II_dimension) - - -# The following two rules define how to compile C++ files into object -# files: -lib/$(deal_II_dimension)d/%.g.$(OBJEXT) : - @echo =====$(application-name)=======$(deal_II_dimension)d====debug=====$(MT)== $( $@ - -include lib/Makefile.dep - -endif # USE_CONTRIB_TRILINOS diff --git a/deal.II/examples/step-41/doc/builds-on b/deal.II/examples/step-41/doc/builds-on deleted file mode 100644 index 8b13789179..0000000000 --- a/deal.II/examples/step-41/doc/builds-on +++ /dev/null @@ -1 +0,0 @@ - diff --git a/deal.II/examples/step-41/doc/intro.dox b/deal.II/examples/step-41/doc/intro.dox deleted file mode 100644 index 446bf8b910..0000000000 --- a/deal.II/examples/step-41/doc/intro.dox +++ /dev/null @@ -1,4 +0,0 @@ - -

Introduction

- -Introduction about Cam Clay plasticity models. diff --git a/deal.II/examples/step-41/doc/kind b/deal.II/examples/step-41/doc/kind deleted file mode 100644 index 56e049c91a..0000000000 --- a/deal.II/examples/step-41/doc/kind +++ /dev/null @@ -1 +0,0 @@ -solids diff --git a/deal.II/examples/step-41/doc/results.dox b/deal.II/examples/step-41/doc/results.dox deleted file mode 100644 index 6121fb67ed..0000000000 --- a/deal.II/examples/step-41/doc/results.dox +++ /dev/null @@ -1,3 +0,0 @@ -

Results

- -Astonishing results here. diff --git a/deal.II/examples/step-41/doc/tooltip b/deal.II/examples/step-41/doc/tooltip deleted file mode 100644 index 03e9264e3d..0000000000 --- a/deal.II/examples/step-41/doc/tooltip +++ /dev/null @@ -1 +0,0 @@ -Solving Cam Clay plasticity model, getting the Nobel Prize. diff --git a/deal.II/examples/step-41/include/assemble_flags.h b/deal.II/examples/step-41/include/assemble_flags.h deleted file mode 100644 index 544f4322e6..0000000000 --- a/deal.II/examples/step-41/include/assemble_flags.h +++ /dev/null @@ -1,122 +0,0 @@ -//--------------------------------------------------------------------------- -// $Id: fe_update_flags.h,v 1.31 2005/10/24 04:33:03 guido Exp $ -// Version: $Name: $ -// -// Copyright (C) 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005 by the deal.II authors -// -// This file is subject to QPL and may not be distributed -// without copyright and license information. Please refer -// to the file deal.II/doc/license.html for the text and -// further information on this license. -// -//--------------------------------------------------------------------------- -#ifndef __deal2__assemble_flags_h -#define __deal2__assemble_flags_h - -#include -/** - * The enum type given to the constructors of LocalAssembleBase objects, - * telling those objects which data to assemble on each mesh cell. - * When the GlobalAssembler calls the local one, it checks for each flag, - * and if it finds one, it assemble the corresponding object. - * - * By default, all flags are off, i.e. no procedure will be called. - * - * You can select more than one flag by concatenation - * using the bitwise or operator|(AssembleFlags,AssembleFlags). - */ -enum AssembleFlags - { - //! No update - assemble_default = 0, - //! Cell term. - /** - * Assemble the cell term. This is - * usually needed, unless the matrix - * is only a flux matrix. - */ - assemble_cell = 0x0001, - //! Assemble boundary term. - /** - * Calls the assemble_boundary_term for - * each boundary face. - */ - assemble_boundary = 0x0002, - //! Assemble face term. - /** Call the assemble_face_term for each face of each cell in the - * triangulation - */ - assemble_face = 0x0004, - /** Assemble rhs cell term. Used in assemble_rhs method.*/ - assemble_rhs_cell = 0x0008, - /** Assemble rhs boundary terms. */ - assemble_rhs_boundary = 0x0010 - }; - - - - - -/** - * Global operator which returns an object in which all bits are set - * which are either set in the first or the second argument. This - * operator exists since if it did not then the result of the bit-or - * operator | would be an integer which would in turn trigger - * a compiler warning when we tried to assign it to an object of type - * AssembleFlags. - */ -inline -AssembleFlags -operator | (AssembleFlags f1, AssembleFlags f2) -{ - return static_cast ( - static_cast (f1) | - static_cast (f2)); -} - - - - -/** - * Global operator which sets the bits from the second argument also - * in the first one. - */ -inline -AssembleFlags & -operator |= (AssembleFlags &f1, AssembleFlags f2) -{ - f1 = f1 | f2; - return f1; -} - - -/** - * Global operator which returns an object in which all bits are set - * which are set in the first as well as the second argument. This - * operator exists since if it did not then the result of the bit-and - * operator & would be an integer which would in turn trigger - * a compiler warning when we tried to assign it to an object of type - * AssembleFlags. - */ -inline -AssembleFlags -operator & (AssembleFlags f1, AssembleFlags f2) -{ - return static_cast ( - static_cast (f1) & - static_cast (f2)); -} - - -/** - * Global operator which clears all the bits in the first argument if - * they are not also set in the second argument. - */ -inline -AssembleFlags & -operator &= (AssembleFlags &f1, AssembleFlags f2) -{ - f1 = f1 & f2; - return f1; -} -#endif diff --git a/deal.II/examples/step-41/include/base.h b/deal.II/examples/step-41/include/base.h deleted file mode 100644 index 1a13228386..0000000000 --- a/deal.II/examples/step-41/include/base.h +++ /dev/null @@ -1,113 +0,0 @@ -#ifndef BASE_H -#define BASE_H - -#include -#include -#include -#include -#include -#include -#include -#include - -#include - -#include "vector_space.h" -#include "domain.h" -#include "error_handler.h" -#include "linear_elastic.h" -#include "camclay.h" - - - -using namespace dealii; -using namespace dealii::Functions; - -template -class Base -{ - public: - Base (); - ~Base (); - - //the routine called from int main() - void run (); - - private: - - //function with actual work, called from run() - void run_cc (const unsigned int &cc); - - //function with actual work, called from run() - void run_step (const unsigned int &cc, - const unsigned int &step); - - //parse the parameters and get things rollin - void parameters (); - - //elastic predictor - void elastic_predictor (double &time); - - //plastic corrector - void plastic_corrector (); - - //writes the files - void write_files (const unsigned int &cc, - const unsigned int &step, - const Vector &my_elas, - const Vector &my_plas, - const Vector &my_other); - - void write_stress_strain (const unsigned int &cc, - const unsigned int &step, - const Vector &my_elas); - - void write_plot_values(const unsigned int &cc, - const unsigned int &step, - const Vector &my_elas, - const Vector &my_hardening, - const Vector &my_plastic, - const ParsedSymmetricTensorFunction<4,dim> &C); - - //A parameter handler object - ParameterHandler prm; - - //ErrorHandler Object - ErrorHandler > error_handler; - - //This holds the triangulation information - Domain domain; - - //A vectorspace for the thermoelasticity - VectorSpace vspace; - - //Elasticity Class - to change models, just change the class - LinearElastic elastic; - //HypoElastic elastic; - //HyperElastic elastic; - //LinearThermoElastic elastic; - - //Plasticity Class - to change models, just change the class name - CamClay plastic; - //CamClayExplicit plastic; - //CamClayInvariant plastic; - //CamClayShearBand plastic; - //J2Flow plastic; - //J2FlowThermal plastic; - - //General Parameters - double lin_red_tol; - unsigned int num_steps; - double end_time; - unsigned int num_cc; - unsigned int num_threads; - unsigned int console_depth; - - //various functions for the laplace equation - ParsedFunction exact_solution; - - -}; - - -#endif diff --git a/deal.II/examples/step-41/include/base.templates.h b/deal.II/examples/step-41/include/base.templates.h deleted file mode 100644 index 5f6f4c63ed..0000000000 --- a/deal.II/examples/step-41/include/base.templates.h +++ /dev/null @@ -1,468 +0,0 @@ -#include "../include/base.h" - -template -Base::Base () - : - exact_solution(dim) -{} - -template -Base::~Base () -{} - -template -void Base::run() -{ - //setup the depth of screen reporting - deallog.depth_console (10); - - //get the parameters - parameters (); - - //run as many convergence cycles as we need - for(unsigned int cc=0; cc -void Base::run_cc(const unsigned int &cc) -{ - deallog.push("CC-"+Utilities::int_to_string(cc)); - deallog << "############### Convergence Cycle: " - << Utilities::int_to_string(cc) - << " ###############" << std::endl; - - //for each convergence cycle, refine - //for now, we just leave things global - if(cc > 0) vspace.get_tria().refine_global(1); - - vspace.redistribute_dofs(); - - elastic.reinit(vspace); - - plastic.reinit(vspace); - - plastic.initial_conditions(vspace); - - deallog << "Building Matrix..." << std::endl; - elastic.build_matrix(prm, vspace); - plastic.build_matrix(vspace); - - write_files (cc, 0, - elastic.sol_total, - plastic.solution, - plastic.sol_hard_iter); - - write_plot_values(cc, 0, elastic.sol_total, plastic.sol_hard_iter, - plastic.solution, elastic.C); - - //just loop over the loading steps - for(unsigned int step=1; step -void Base::run_step(const unsigned int &cc, - const unsigned int &step) -{ - deallog << std::endl; - deallog.push("Step-" + Utilities::int_to_string(step,2)); - - double time = end_time * (double(step)/double(num_steps)); - - deallog << "Time: " << time < -void Base::elastic_predictor (double &time) -{ - deallog.push("ELASTIC"); - - elastic.reinit_step(time); - - elastic.build_rhs(vspace); - - elastic.solve(vspace, lin_red_tol); - - deallog.pop(); -} - -template -void Base::plastic_corrector () -{ - deallog.push("PLASTIC"); - - plastic.reinit_step(); - - plastic.update_internal_variables(vspace, - elastic.sol_total, - elastic.C); - - Timer timer; - timer.start(); - plastic.project_strain(prm, vspace, elastic.A); - plastic.project_hardening(vspace); - timer.stop(); - deallog << "Time for plastic projection: " << timer() << std::endl; - - deallog.pop(); -} - - -template -void Base::write_files (const unsigned int &cc, - const unsigned int &step, - const Vector &my_elas, - const Vector &my_plas, - const Vector &my_other) -{ - DataOut data_out; - data_out.attach_dof_handler (vspace.get_dh()); - - std::vector elastic_names; - std::vector plastic_names; - std::vector other_names; - if(dim == 1) { - elastic_names.push_back("u1_elastic"); - plastic_names.push_back("u1_plastic"); - } - - if(dim == 2) { - elastic_names.push_back("u1_elastic"); - elastic_names.push_back("u2_elastic"); - plastic_names.push_back("u1_plastic"); - plastic_names.push_back("u2_plastic"); - other_names.push_back("hardening"); - other_names.push_back("Newton_Iterations"); - } - - if(dim == 3) { - elastic_names.push_back("u1_elastic"); - elastic_names.push_back("u2_elastic"); - elastic_names.push_back("u3_elastic"); - plastic_names.push_back("u1_plastic"); - plastic_names.push_back("u2_plastic"); - plastic_names.push_back("u3_plastic"); - other_names.push_back("hardening"); - other_names.push_back("Newton_Iterations"); - other_names.push_back("Nothing"); - } - - data_out.add_data_vector(my_elas, elastic_names); - data_out.add_data_vector(my_plas, plastic_names); - data_out.add_data_vector(my_other, other_names); - data_out.add_data_vector(plastic.iterations, "Average_Newton_Iterations"); - - std::vector partition_int (vspace.get_tria().n_active_cells()); - GridTools::get_subdomain_association (vspace.get_tria(), partition_int); - const Vector partitioning(partition_int.begin(), - partition_int.end()); - data_out.add_data_vector (partitioning, "partitioning"); - - data_out.build_patches (vspace.get_fe().degree); - - std::ostringstream filename; - filename << "out/solution-"; - //first the convergence cycle - filename << std::setfill('0'); - filename << std::setw(2) << cc; - filename << "-"; - //then the step - filename << std::setfill('0'); - filename << std::setw(5) << step; - filename << ".vtk"; - - std::ofstream output (filename.str().c_str()); - data_out.write_vtk (output); - -} - -template -void Base::write_stress_strain (const unsigned int &cc, - const unsigned int &step, - const Vector &my_elas) -{ - //reopen the just written file - std::ostringstream filename; - filename << "out/solution-"; - //first the convergence cycle - filename << std::setfill('0'); - filename << std::setw(2) << cc; - filename << "-"; - //then the step - filename << std::setfill('0'); - filename << std::setw(5) << step; - filename << ".vtk"; - std::ofstream output (filename.str().c_str(),std::ios::app); - - //WARNING - THE FOLLOWING IS NOT DIM INDEPENDENT!!! - - //create an fe object to get the gradient values - QIterated qf(QTrapez<1>(),2); - FEValues fe_v(vspace.get_fe(), qf, - update_gradients | update_quadrature_points); - std::vector< std::vector< Tensor<1,dim> > > total_grads(qf.size(), - std::vector >(dim)); - std::vector< Point > points(qf.size()); - - output << "SCALARS uyy double 1" << std::endl; - output << "LOOKUP_TABLE default" << std::endl; - - typename MGDoFHandler::active_cell_iterator cell = vspace.get_dh().begin_active(), - endc = vspace.get_dh().end(); - for (; cell!=endc; ++cell) { - - fe_v.reinit(cell); - fe_v.get_function_gradients(my_elas, total_grads); - - points = fe_v.get_quadrature_points(); - - //loop over the quadrature points--------------------------------- - for (unsigned int qp = 0; qp -void Base::write_plot_values(const unsigned int &cc, - const unsigned int &step, - const Vector &my_elas, - const Vector &my_hardening, - const Vector &my_plas, - const ParsedSymmetricTensorFunction<4,dim> &C) -{ - double p=0; - double q=0; - double deve=0; - double k = 0; - //std::vector< std::vector< double> > s(dim, std::vector(dim)); - - //reopen the just written file - std::ostringstream filename; - filename << "plot_data/data-"; - //first the convergence cycle - filename << std::setfill('0'); - filename << std::setw(2) << cc; - filename << ".txt"; - std::ofstream output; - - if(step == 0) { - output.open(filename.str().c_str(),std::ios::trunc); - } else { - output.open(filename.str().c_str(),std::ios::app); - } - - //create an fe object to get the gradient values at the nodes - //QIterated qf(QTrapez<1>(),1); - QTrapez qf; - FEValues fe_v(vspace.get_fe(), qf, - update_values | update_gradients | update_quadrature_points); - std::vector< std::vector< Tensor<1,dim> > > elastic_grads(qf.size(), - std::vector >(dim)); - std::vector< std::vector< Tensor<1,dim> > > plastic_grads(qf.size(), - std::vector >(dim)); - std::vector< Vector > hard_values(qf.size(), Vector(dim)); - std::vector< Point > points(qf.size()); - - //std::vector< std::vector > strain(dim, std::vector(dim) ); - - //calculate p,q,deve - typename MGDoFHandler::active_cell_iterator cell = vspace.get_dh().begin_active(), - endc = vspace.get_dh().end(); - for (; cell!=endc; ++cell) { - - fe_v.reinit(cell); - - if (cell->index() == 20 ) { - fe_v.get_function_gradients(my_elas, elastic_grads); - fe_v.get_function_gradients(my_plas, plastic_grads); - fe_v.get_function_values(my_hardening, hard_values); - - points = fe_v.get_quadrature_points(); - - SymmetricTensor<2,dim> strain; - SymmetricTensor<2,dim> stress; - SymmetricTensor<2,3> s; - - for(unsigned int a=0; a -void Base::parameters () -{ - deallog.push("PARAMETERS"); - - domain.declare_parameters(prm); - - //add settings for the elastic vector space to the prm file - std::string space_name = "Vector Space Parameters"; - vspace.declare_parameters(prm, space_name); - - error_handler.declare_parameters(prm); - - elastic.declare_parameters(prm); - - plastic.declare_parameters(prm); - - prm.enter_subsection("General Parameters"); - prm.declare_entry ("Linear Solver Reducation Tolerance", - "1.0E-16", - Patterns::Double(), - "Linear Solver Reduction Tolerance"); - prm.declare_entry ("Number of Convergence Cycles", - "1", - Patterns::Integer(), - "Number of Convergence Cycles Past Initial Refinement"); - prm.declare_entry ("Console Depth", - "10", - Patterns::Integer(), - "Determines level of screen output"); - prm.leave_subsection(); - - prm.enter_subsection("Loading Parameters"); - prm.declare_entry ("End Time for Simulation", - "1.0", - Patterns::Double(), - "End time for the simulation"); - prm.declare_entry ("Number of Loading Steps", - "10", - Patterns::Integer(), - "Number of Loading Cycles to split time interval"); - prm.leave_subsection(); - - prm.enter_subsection("Exact Solution"); - Functions::ParsedFunction::declare_parameters(prm, dim); - prm.leave_subsection(); - - // ============================== - - prm.read_input("CamClay.prm"); - - // ============================== - //Initialize the domain - domain.reinit(prm); - /* - domain.get_tria().clear(); - - Point lowerleft(0.0,0.0); - Point upperright(0.3,0.1); - std::vector subs(2); - subs[0] = 30; subs[1]=10; - GridGenerator::subdivided_hyper_rectangle(domain.get_tria(), - subs, - lowerleft, - upperright, true); - */ - vspace.reinit(prm, domain.get_tria()); - - error_handler.parse_parameters(prm); - - elastic.parse_parameters(prm); - - plastic.parse_parameters(prm); - - prm.enter_subsection("Exact Solution"); - exact_solution.parse_parameters(prm); - prm.leave_subsection(); - - prm.enter_subsection("General Parameters"); - lin_red_tol = prm.get_double("Linear Solver Reducation Tolerance"); - num_cc = prm.get_integer("Number of Convergence Cycles"); - console_depth = prm.get_integer("Console Depth"); - prm.leave_subsection(); - - prm.enter_subsection("Loading Parameters"); - num_steps = prm.get_integer("Number of Loading Steps"); - end_time = prm.get_double("End Time for Simulation"); - prm.leave_subsection(); - - deallog.pop(); - -} - - diff --git a/deal.II/examples/step-41/include/camclay.h b/deal.II/examples/step-41/include/camclay.h deleted file mode 100644 index e1ec25367b..0000000000 --- a/deal.II/examples/step-41/include/camclay.h +++ /dev/null @@ -1,172 +0,0 @@ -#ifndef CAMCLAY -#define CAMCLAY - -//deal.ii packages -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include - -//Trilinos packages -#include - -//LPCM includes -#include "vector_space.h" -#include "local_assemble_plastic_project.h" -#include "local_assemble_scalar_project.h" -#include "my_tools.h" -#include "domain.h" - -using namespace dealii; -using namespace dealii::Functions; - -template -class CamClay -{ - public: - - CamClay(); - - ~CamClay(); - - void declare_parameters(ParameterHandler &prm); - - void parse_parameters(ParameterHandler &prm); - - void reinit(VectorSpace &vspace); - - void reinit_step(); - - void project_strain(ParameterHandler &prm, - VectorSpace &vspace, - SparseMatrix &A); - - void project_hardening(VectorSpace &vspace); - - void build_matrix(VectorSpace &vspace); - - void initial_conditions(VectorSpace &vspace); - - void update_internal_variables(VectorSpace &vspace, - Vector &elastic_solution, - ParsedSymmetricTensorFunction<4,dim> &C); - - void compute_jacobian(FullMatrix &jac, - const Vector &sol, - const double p, - const double q, - const double M, - const SymmetricTensor<4,dim> &C_qp, - const SymmetricTensor<2,dim> &xi); - - Vector dF_dstress(const SymmetricTensor<2,dim> &stress, - const double k); - - //this is the plastic strain projected into the displacement - Vector solution; - - //this is the average number of iterations per cell for the current step - Vector iterations; - - //internal variable vectors - Table<2, SymmetricTensor<2,dim> > plastic_strain; - Table<2, double > hardening; - Table<2, double> iter_table; - - Vector sol_hard_iter; - - private: - - //computes the yeild function - inline double yield_function(const double p, const double q, - const double k); - - //does the actual solving for the new internal variables - double solve(const int &index, - const unsigned int &qp, - const SymmetricTensor<2,dim> &trial_strain); - - //the potential for the hardening - double h(const double p, - const double k); - - //computes the hydrostatic stress invariant - inline double p(const SymmetricTensor<2,dim> &stress); - - //computes the deviatoric stress invariant - inline double q(const SymmetricTensor<2,3> &xi); - - //computes the deviatoric stress tensor - inline SymmetricTensor<2,3> xi(const SymmetricTensor<2,dim> &stress); - - //computer_theresidua and the jacobian - void compute_res_jac(Vector &res, - FullMatrix &jac, - const Vector &sol, - const Vector &prev_step, - const SymmetricTensor<2,dim> &total_strain); - /* - //computes the residual - void compute_residual(Vector &res, - const Vector &prev_step, - const Vector &sol, - const SymmetricTensor<2,dim> &stress); - - - - //creates the jacobian numerical - void numerical_jacobian(FullMatrix &jac, - const Vector &sol, - const Vector &prev_sol, - const SymmetricTensor<2,dim> &total_strain);*/ - - //translates from sym tensor notation to voigt notation - inline unsigned int sym2voigt(const unsigned int i, - const unsigned int j); - - inline unsigned int sac_num(const unsigned int i, - const unsigned int j); - - //translates voigt notation to sym tensor indices - inline std::vector voigt2sym(const unsigned int i); - - //delta tensor - inline double delta(const unsigned int i, - const unsigned int j); - - //voigt delta tensor - inline double delta(const unsigned int i); - - //the yeild stress function - not needed for cam clay actually - ParsedFunction yield_stress; - - //some constants - //double shear_mod; - //double bulk_mod; - double M; - - SymmetricTensor<4,dim> C_qp; - - SparseMatrix MM; - - SparsityPattern sp_MM; - - - -}; - -#endif diff --git a/deal.II/examples/step-41/include/camclay.templates.h b/deal.II/examples/step-41/include/camclay.templates.h deleted file mode 100644 index ca9c2bad9e..0000000000 --- a/deal.II/examples/step-41/include/camclay.templates.h +++ /dev/null @@ -1,670 +0,0 @@ -#include "../include/camclay.h" - -template -CamClay::CamClay() - : -yield_stress(1) -{} - -template -CamClay::~CamClay() -{ - MM.clear(); -} - -template -void CamClay::declare_parameters(ParameterHandler &prm) -{ - prm.enter_subsection("Yield Stress"); - Functions::ParsedFunction::declare_parameters(prm, 1); - prm.leave_subsection(); - -} - -template -void CamClay::parse_parameters(ParameterHandler &prm) -{ - prm.enter_subsection("Yield Stress"); - yield_stress.parse_parameters(prm); - prm.leave_subsection(); -} - -template -void CamClay::reinit(VectorSpace &vspace) -{ - - //the total number of quadrature points - double total_qp = std::pow(double(2 * vspace.get_fe().degree + 1), dim); - - //Resize the tables to hold the plastic strains and other internal variables. - plastic_strain.reinit(vspace.get_tria().n_active_cells(), int(total_qp)); - hardening.reinit(vspace.get_tria().n_active_cells(), int(total_qp)); - iter_table.reinit(vspace.get_tria().n_active_cells(), int(total_qp)); - - solution.reinit(vspace.n_dofs()); - sol_hard_iter.reinit(vspace.n_dofs()); - - iterations.reinit(vspace.get_tria().n_active_cells()); - iterations = 0; - - //setup for projection mass matrix - sp_MM.reinit(vspace.n_dofs(), - vspace.n_dofs(), - vspace.get_dh().max_couplings_between_dofs()); - - DoFTools::make_sparsity_pattern (static_cast &> (vspace.get_dh()), sp_MM); - sp_MM.compress(); - - MM.reinit(sp_MM); -} - -template -void CamClay::reinit_step() -{ - - solution = 0; - iterations = 0; - sol_hard_iter = 0; - -} - -template -void CamClay::initial_conditions(VectorSpace &vspace) -{ - - QGauss qf_v((2*vspace.get_fe().degree) + 1); - - FEValues fe_v (vspace.get_fe(), qf_v, - update_values | update_gradients | - update_quadrature_points | update_JxW_values); - - const unsigned int n_qp_v = qf_v.size(); - - - typename MGDoFHandler::active_cell_iterator cell = vspace.get_dh().begin_active(), - endc = vspace.get_dh().end(); - for (; cell!=endc; ++cell) { - fe_v.reinit(cell); - - for (unsigned int qp = 0; qpindex(), qp) = 2e8; - - //plastic_strain(cell->index(), qp)[0][1] = 0; - - - } - } - - - -} - -template -void CamClay::update_internal_variables(VectorSpace &vspace, - Vector &elastic_solution, - ParsedSymmetricTensorFunction<4, dim> &C) -{ - - //first thing, we need to loop over the cells - //and then the quadrature points - QGauss qf_v((2*vspace.get_fe().degree) + 1); - - FEValues fe_v (vspace.get_fe(), qf_v, - update_values | update_gradients | - update_quadrature_points | update_JxW_values); - - const unsigned int n_qp_v = qf_v.size(); - - std::vector > points(n_qp_v); - - SymmetricTensor<2,dim> trial_strain; - SymmetricTensor<2,dim> trial_stress; - SymmetricTensor<2,dim> total_strain; - - std::vector< std::vector > > total_grads(n_qp_v, std::vector >(dim)); - - //average number of NR Iterations per cell - double nr_iterations_ave = 0; - - //This is the material parameter M, for the yield function/surface - //right now, I just consider it constant - M = 1.0; - unsigned int counter = 0; - bool marker = false; - - //loop only over the number of cells on this process - //we will thread this later - typename MGDoFHandler::active_cell_iterator cell = vspace.get_dh().begin_active(), - endc = vspace.get_dh().end(); - for (; cell!=endc; ++cell) { - //reinit with the correct cell - fe_v.reinit(cell); - int cell_index = cell->index(); - nr_iterations_ave = 0; - marker = false; - - //get the gradients of the PURELY elastic solution - fe_v.get_function_gradients(elastic_solution, total_grads); - - //get the quadrature points for the cell - points = fe_v.get_quadrature_points(); - - //loop over the quadrature points--------------------------------- - for (unsigned int qp = 0; qp 0 ) - { - marker = true; - //deallog << "Cell: " << cell_index - // << " stress01 value: " << trial_stress[0][1] << std::endl; - - nr_iterations_ave += solve(cell_index, - qp, - total_strain); - - - } - - } //quad points - - nr_iterations_ave /= n_qp_v; - - iterations(cell_index) = nr_iterations_ave; - - if (marker == true) ++counter; - - } //cells - - deallog << "Plastic Deformation in: " - << counter << " of " << vspace.get_tria().n_active_cells() << " cells." << std::endl; - -} - -template -inline double CamClay::p(const SymmetricTensor<2, dim> &stress) -{ - - //expicitly assumes specific 2D symmetry - NO SHEAR - double pval = (2*stress[0][0] + stress[1][1]); - - pval *= -1.0/3.0; - - return pval; - -} - -template -inline SymmetricTensor<2,3> CamClay::xi(const SymmetricTensor<2,dim> &stress) -{ - - SymmetricTensor<2,3> xival; - - xival[0][0] = stress[0][0]; - xival[1][1] = stress[0][0]; - xival[2][2] = stress[1][1]; - - for(unsigned int i=0; i<3; ++i) xival[i][i] += p(stress); - - return xival; -} - -template -inline double CamClay::q(const SymmetricTensor<2, 3> &xi) -{ - - double qval = std::sqrt(3.0/2.0) * xi.norm(); - - return qval; - -} - -template -double CamClay::solve(const int &index, - const unsigned int &qp, - const SymmetricTensor<2,dim> &total_strain) -{ - /*What we have is a system of non-linear ODE that need to - be solved for the proper strains, plastic multiplier, and - hardening coefficient. The plastic multiplier is relevant only to - this function, so we will only see it here*/ - - /*This version is simpler - it is NOT using the invariant based - methods of Claudio Tamagnini*/ - - //these numbers are the - //stress components+hardening+plastic multiplier - unsigned int size =( (dim*dim) + dim + 4 )/2; - - //we need vectors and a matrix - Vector cell_res(size); - Vector cell_sol(size); - Vector cell_prev(size); - FullMatrix cell_jac(size,size); - - //these will be needed later - double first_norm = 0; - unsigned int iters = 0; - - //create the guess, we start with the previously converged values of - //the plastic strain and hardening, and zero for the plastic mult - if (dim == 1) { - cell_sol(0) = plastic_strain(index, qp)[0][0]; //e_p - cell_sol(1) = hardening(index, qp); //k - cell_sol(2) = 0; //delta gamma - } - if (dim == 2) { - cell_sol(0) = plastic_strain(index, qp)[0][0]; //e_p 11 - cell_sol(1) = plastic_strain(index, qp)[1][1]; //e_p 22 - cell_sol(2) = plastic_strain(index, qp)[0][1]; //e_p 12/21 - cell_sol(3) = hardening(index, qp); //k - cell_sol(4) = 0; //delta gamma - } - if (dim == 3) { - cell_sol(0) = plastic_strain(index, qp)[0][0]; //e_p xx - cell_sol(1) = plastic_strain(index, qp)[1][1]; //e_p yy - cell_sol(2) = plastic_strain(index, qp)[2][2]; //e_p zz - cell_sol(3) = plastic_strain(index, qp)[1][2]; //e_p yz - cell_sol(4) = plastic_strain(index, qp)[0][2]; //e_p xz - cell_sol(5) = plastic_strain(index, qp)[0][1]; //e_p xy - cell_sol(6) = hardening(index, qp); //k - cell_sol(7) = 0; //delta gamma - } - //since the guess of the solution is the previously converged values - cell_prev = cell_sol; - first_norm = 0; - //loop over a newton raphson scheme. - //for right now, max nr iterations is set to 10 - for(unsigned int n=0; n<10; ++n) { - cell_res = 0; - cell_jac = 0; - - //compute the residual using the guess - compute_res_jac(cell_res, cell_jac, - cell_sol, cell_prev, total_strain); - - cell_res *= -1.0; - - if ( (index == 20) && (qp == 0)) { - deallog << "Cell Index: " << index - << " qp: " << qp << " Iters: " << iters - << " Rnorm: " << cell_res.linfty_norm() << std::endl; - - // for (unsigned int i=0; i= j) plastic_strain(index, qp)[i][j] = cell_sol(sym2voigt(i,j)); - } - } - hardening(index,qp) = cell_sol(size-2); - iter_table(index,qp) = iters; - - return iters; -} - -template -void CamClay::compute_res_jac(Vector &res, - FullMatrix &jac, - const Vector &sol, - const Vector &prev_sol, - const SymmetricTensor<2,dim> &total_strain) -{ - //the critical function, computing the residual and the jacobian - //basically, if we can assemble the residual using the sacado - //doubles, then we have done all of the work. We just need to be careful about - //NOT exploiting the fact that the total strain is symmetric. - - typedef Sacado::Fad::DFad fad_double; - unsigned int size = sol.size(); - - std::vector< std::vector > estrain(dim, std::vector(dim)); - - //vectors of the unknowns and independent vars - std::vector x(size); //this is ep11,ep22,ep12,k,dgamma - std::vector off_diag(((dim*dim)-dim)/2); - std::vector R(size); //this is ep11,ep22,ep12,k,dgamma - - for (unsigned int i=0; i<(2*(size-1))-dim; ++i) { - //assign the values of the independent variables - if( i=size) { - off_diag[i-size] = sol(i-3); - off_diag[i-size].diff(i,(2*(size-1))-dim); - } - - } - - for(unsigned int i=0; i= j) estrain[i][j] = (total_strain[i][j] - x[sym2voigt(i,j)]); - - if(i < j) estrain[i][j] = (total_strain[i][j] - off_diag[sym2voigt(i,j)]); - - } - } - - //now we are set, we have estrain, with the right values, - //but with different sacado variables, and useable notation - std::vector< std::vector > stress(dim, std::vector(dim)); - fad_double p; - p=0; - for(unsigned int i=0; i > s(dim, std::vector(dim)); - fad_double q; - fad_double trs; - trs = 0; - - for (unsigned int i=0; i 1e-8) deallog << "Shit is Broke" < -inline std::vector CamClay::voigt2sym(const unsigned int i) -{ - - std::vector return_indices(2); - - if (dim == 2) { - if (i == 0) { return_indices[0]=0; return_indices[1]=0; } - if (i == 1) { return_indices[0]=1; return_indices[1]=1; } - if (i == 2) { return_indices[0]=0; return_indices[1]=1; } - } - - if (dim == 3) { - //finish this at some time - } - - return return_indices; - -} - -template -inline double CamClay::delta(const unsigned int i, - const unsigned int j) -{ - double delta_val=0; - - if(i == j) delta_val = 1; - - return delta_val; - -} - -template -inline double CamClay::delta(const unsigned int i) -{ - double delta_val=1; - - if(i >= dim) delta_val = 0; - - return delta_val; - -} - - -template -inline unsigned int CamClay::sym2voigt(const unsigned int i, - const unsigned int j) -{ - unsigned int voigt_value = 0; - - if (dim == 2) { - - if ( (i == 0) && (j == 0) ) voigt_value = 0; - if ( (i == 1) && (j == 1) ) voigt_value = 1; - if ( (i == 0) && (j == 1) ) voigt_value = 2; - if ( (i == 1) && (j == 0) ) voigt_value = 2; - - - } - - if (dim == 3) { - //needs finished - - } - - return voigt_value; - -} - -template -double CamClay::h(const double p, - const double k) -{ - - double hval = k * ( 2*p - k ); - - return hval; - -} - -template -Vector CamClay::dF_dstress(const SymmetricTensor<2, dim> &stress, - const double k) -{ - SymmetricTensor<2,dim> tmp; - Vector tmpv(((dim*dim)+dim)/2); - - double p = (1.0/3.0) * first_invariant(stress); - - tmp = stress; - for(unsigned int i=0; i -inline double CamClay::yield_function(const double p, const double q, - const double k) -{ - double f_value = p*(p-k) + (q*q/M/M); - - return f_value; - -} - - -template -void CamClay::project_strain(ParameterHandler &prm, - VectorSpace &vspace, - SparseMatrix &A) -{ - - LocalAssemblePlasticProject local_plastic_project; - local_plastic_project.reinit(vspace.get_fe(), plastic_strain); - local_plastic_project.parameters(prm); - - MyTools::assemble_rhs(vspace.get_dh(), vspace.get_hang(), - -1, solution, local_plastic_project); - - SparseDirectUMFPACK direct_solver; - - direct_solver.initialize(A); - - direct_solver.solve(solution); - - vspace.get_hang().distribute(solution); - -} - -template -void CamClay::build_matrix(VectorSpace &vspace) -{ - QGauss quad((2*vspace.get_fe().degree) + 1); - - MatrixCreator::create_mass_matrix(vspace.get_dh(), quad, MM); - -} - -template -void CamClay::project_hardening(VectorSpace &vspace) -{ - //we need a mass matrix for a scalar variable over the mesh - //so, lets build one from scratch - - LocalAssembleScalarProject local_ass; - local_ass.reinit(vspace.get_fe(), hardening, iter_table); - - MyTools::assemble_rhs(vspace.get_dh(), vspace.get_hang(), - -1, sol_hard_iter, local_ass); - - SparseDirectUMFPACK direct_solver; - - direct_solver.initialize(MM); - - direct_solver.solve(sol_hard_iter); - - vspace.get_hang().distribute(sol_hard_iter); - - //project the iterations while we are at it - //local_ass.reinit(vspace_cc, iter_table); - //MyTools::assemble_rhs(vspace_cc.get_dh(), vspace_cc.get_hang(), - // -1, sol_iterations, local_ass); - - - -} - diff --git a/deal.II/examples/step-41/include/domain.h b/deal.II/examples/step-41/include/domain.h deleted file mode 100644 index e4967c0239..0000000000 --- a/deal.II/examples/step-41/include/domain.h +++ /dev/null @@ -1,72 +0,0 @@ -#ifndef DOMAIN_H -#define DOMAIN_H -#include - -#include -#include -#include -#include -#include -#include -#include - -using namespace dealii; - -/** - Domain object. -*/ -template -class Domain : public Subscriptor -{ - public: - /** Empty constructor. */ - Domain (); - - /** Full constructor. */ - Domain (ParameterHandler &prm); - - ~Domain (); - - /** Reinit. */ - void reinit(ParameterHandler &prm); - - /** Read mesh file name, etc. */ - void parse_parameters(ParameterHandler &prm); - - /** Generate entries in the given parameter file. */ - static void declare_parameters(ParameterHandler &prm); - - /** Generate the mesh. In this program, the mesh can be read from an - input file generated with gmsh (http://www.geuz.org/gmsh/). */ - void create_mesh (); - - /** Write the mesh. */ - void output_mesh(std::ostream &out) const; - - - /** Write the mesh on the file specified by the parameter handler. */ - void output_mesh() const; - - /** Reference to the triangulation. */ - inline Triangulation & get_tria() { - Assert(initialized, ExcNotInitialized()); - return tria; - } - - private: - bool initialized; - - bool read_mesh; - - PathSearch search_mesh; - - std::string input_mesh_file_name; - std::string input_mesh_format; - std::string output_mesh_file_name; - - /** Holds the coarse triangulation. */ - Triangulation tria; - /** Helper class to output the grid. */ - GridOut gridout; -}; -#endif diff --git a/deal.II/examples/step-41/include/domain.templates.h b/deal.II/examples/step-41/include/domain.templates.h deleted file mode 100644 index 188f006e48..0000000000 --- a/deal.II/examples/step-41/include/domain.templates.h +++ /dev/null @@ -1,120 +0,0 @@ -#include "domain.h" -#include -#include -#include -#include -#include -#include -#include -#include -#include - -using namespace std; - -template -Domain::Domain() : - search_mesh("MESH", 1) -{ - initialized = false; -} - -template -Domain::Domain(ParameterHandler &prm) : - search_mesh("MESH", 1) -{ - reinit(prm); -} - -template -Domain::~Domain() -{ - // tria.clear(); -} - - -template -void Domain::reinit(ParameterHandler &prm) -{ - deallog.push("DOMAIN"); - parse_parameters(prm); - deallog << "Generating coarse triangulation." << endl; - create_mesh(); - output_mesh(); - deallog.pop(); -} - - -template -void Domain::declare_parameters(ParameterHandler &prm) -{ - prm.enter_subsection("Domain Parameters"); - prm.declare_entry ("Read domain mesh from file", "false", Patterns::Bool(), - "If this is false, then the input mesh file below is ignored and a hyper-cube is created."); - prm.declare_entry ("Path of domain mesh files", "mesh/", Patterns::Anything()); - prm.declare_entry ("Input mesh file", "square", Patterns::Anything()); - prm.declare_entry ("Input mesh format", "ucd", - Patterns::Selection(GridIn::get_format_names())); - prm.declare_entry ("Output mesh file", "square_out", Patterns::Anything()); - - prm.enter_subsection("Grid Out Parameters"); - GridOut::declare_parameters(prm); - prm.leave_subsection(); - - prm.leave_subsection(); - -} - - template -void Domain::parse_parameters(ParameterHandler &prm) -{ - prm.enter_subsection("Domain Parameters"); - read_mesh = prm.get_bool ("Read domain mesh from file"); - search_mesh.add_path(prm.get ("Path of domain mesh files")); - input_mesh_file_name = prm.get ("Input mesh file"); - output_mesh_file_name = prm.get ("Output mesh file"); - input_mesh_format = prm.get ("Input mesh format"); - - prm.enter_subsection("Grid Out Parameters"); - gridout.parse_parameters(prm); - prm.leave_subsection(); - - prm.leave_subsection(); -} - -template -void Domain::create_mesh() -{ - if(read_mesh) { - GridIn grid_in; - grid_in.attach_triangulation (tria); - string mfilen = search_mesh.find - (input_mesh_file_name, - grid_in.default_suffix(grid_in.parse_format(input_mesh_format)), - "r"); - ifstream mfile(mfilen.c_str()); - grid_in.read(mfile, GridIn::parse_format(input_mesh_format)); - } else { - Point corner; - for(unsigned int d=0; d(), corner, true); -// GridTools::partition_triangulation (n_mpi_processes, tria); - } - initialized = true; -} - - -template -void Domain::output_mesh(std::ostream &out) const { - Assert(initialized, ExcNotInitialized()); - gridout.write (tria, out); -} - - -template -void Domain::output_mesh() const { - if(gridout.default_suffix() != "") { - std::ofstream out_file ((output_mesh_file_name + gridout.default_suffix()).c_str()); - output_mesh(out_file); - out_file.close(); - } -} diff --git a/deal.II/examples/step-41/include/error_handler.h b/deal.II/examples/step-41/include/error_handler.h deleted file mode 100644 index fbc52b6c23..0000000000 --- a/deal.II/examples/step-41/include/error_handler.h +++ /dev/null @@ -1,177 +0,0 @@ -#ifndef LH_ERROR_HANDLER_H -#define LH_ERROR_HANDLER_H - -#include - -#include -#include -#include - -#include - -// #include -#include -#include -#include - -#include -#include -#include - -#include - -#include - -enum NormFlags { - None = 0x00, - Linfty = 0x01, - L2 = 0x02, - W1infty = 0x04, - H1 = 0x08, - AddUp = 0x10 -}; - -using namespace dealii; - -template > -class ErrorHandler : public Subscriptor -{ -public: - /** The constructor takes the mpi initialization stuff. */ - ErrorHandler (); - - /** Initialize the given values for the paramter file. */ - static void declare_parameters(ParameterHandler &prm, - unsigned int ntables=1); - - /** Parse the given parameter handler. */ - void parse_parameters(ParameterHandler &prm); - - /** Calculate the error of the numeric solution in variuous norms. Store - the result in the given table. */ - void error_from_exact(const DoFHandler & vspace, - const VEC &solution, - const Function &exact, - unsigned int table_no = 0, - double dt=0.); - - /** Difference between two solutions in two different vector spaces. */ - void difference(const DoFHandler &, const VEC &, - const DoFHandler &, const VEC &, - unsigned int table_no = 0, double dt=0.); - - /** Difference between two solutions in the same vector space. */ - void difference(const DoFHandler &, const VEC &, - const VEC &, unsigned int table_no = 0, double dt=0.); - - /** By default output first table. */ - void output_table(const unsigned int table_no=0); - -private: - /** Error results.*/ - std::vector tables; - - /** Headers for tables and output. Contains the name of the solution - components. */ - std::vector headers; - - /** Headers for latex tables. Contains the name of the solution - components. */ - std::vector latex_headers; - - /** Captions for latex. */ - std::vector latex_captions; - - /** Names of the tables. */ - std::vector names; - - /** Type of error to compute per components. */ - std::vector > types; - - /** The parameters have been read. */ - bool initialized; - - /** Compute the error. If this is false, all functions regarding - errors are disabled and don't do anything.*/ - bool compute_error; - - /** Add convergence rates. */ - std::vector add_rates; - - /** Write the error files. */ - bool write_error; - - /** Output the error file also on screen. */ - bool output_error; - - /** The error file format. */ - std::string error_file_format; - - /** The extra column to add to the tables. */ - std::vector > extras; - - /** Wether or not to calculate the rates according to the given keys. */ - std::vector rate_keys; -}; - -/** - * Global operator which returns an object in which all bits are set - * which are either set in the first or the second argument. This - * operator exists since if it did not then the result of the bit-or - * operator | would be an integer which would in turn trigger - * a compiler warning when we tried to assign it to an object of type - * NormFlags. - */ -inline -NormFlags -operator | (NormFlags f1, NormFlags f2) -{ - return static_cast ( - static_cast (f1) | - static_cast (f2)); -} - -/** - * Global operator which sets the bits from the second argument also - * in the first one. - */ -inline -NormFlags & -operator |= (NormFlags &f1, NormFlags f2) -{ - f1 = f1 | f2; - return f1; -} - - -/** - * Global operator which returns an object in which all bits are set - * which are set in the first as well as the second argument. This - * operator exists since if it did not then the result of the bit-and - * operator & would be an integer which would in turn trigger - * a compiler warning when we tried to assign it to an object of type - * NormFlags. - */ -inline -NormFlags -operator & (NormFlags f1, NormFlags f2) -{ - return static_cast ( - static_cast (f1) & - static_cast (f2)); -} - - -/** - * Global operator which clears all the bits in the first argument if - * they are not also set in the second argument. - */ -inline -NormFlags & -operator &= (NormFlags &f1, NormFlags f2) -{ - f1 = f1 & f2; - return f1; -} - -#endif diff --git a/deal.II/examples/step-41/include/error_handler.templates.h b/deal.II/examples/step-41/include/error_handler.templates.h deleted file mode 100644 index 2b646b649b..0000000000 --- a/deal.II/examples/step-41/include/error_handler.templates.h +++ /dev/null @@ -1,396 +0,0 @@ -#include "../include/error_handler.h" - -#include -#include -#include - -#include - -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include - -template -ErrorHandler::ErrorHandler () -{ - initialized = false; -} - -template -void ErrorHandler::declare_parameters (ParameterHandler &prm, - unsigned int ntables) -{ - prm.declare_entry ("Write error files", "false", Patterns::Bool()); - prm.declare_entry ("Output error tables", "true", Patterns::Bool()); - prm.declare_entry ("Error file format", "tex", Patterns::Selection("tex|txt")); - prm.declare_entry ("Compute error", "true", Patterns::Bool()); - prm.declare_entry ("Table names", "error", Patterns::Anything(), - "Comma separated list of table names. "); - prm.declare_entry ("Solution names", "u", Patterns::Anything(), - "Comma separated list of names for the components. This " - "will be used both for error tables in text format and to " - "output the solution to a file. Note that in the case " - "of a vector function the error name which is used to " - "compute the norm (supposing the type of the other " - "components is 'Add') is the first one."); - prm.declare_entry ("Solution names for latex", "u", Patterns::Anything(), - "Comma separated version of the same thing as above for " - "the latex version of the table."); - - // prm.declare_entry ("Ib output format", "msh", Patterns::Selection("raw|msh")); - // prm.declare_entry ("Ib input file prefix", "ellipse", Patterns::Anything()); - for(unsigned int i=0; i -void ErrorHandler::parse_parameters (ParameterHandler &prm) -{ - write_error = prm.get_bool ("Write error files"); - output_error = prm.get_bool ("Output error tables"); - - error_file_format = prm.get ("Error file format"); - compute_error = prm.get_bool ("Compute error"); - std::string all_names = prm.get ("Table names"); - headers = Utilities::split_string_list(prm.get ("Solution names")); - latex_headers = Utilities::split_string_list(prm.get ("Solution names for latex")); - - if (all_names != "") { - names = Utilities::split_string_list(all_names); - types.resize(names.size(), std::vector (headers.size())); - add_rates.resize(names.size()); - tables.resize(names.size()); - latex_captions.resize(names.size()); - std::map extra; - extra["dof"] = false; - extra["cells"] = false; - extra["dt"] = false; - - extras.resize(names.size(), extra); - rate_keys.resize(names.size(), ""); - - for(unsigned int i=0; i all_extras = - Utilities::split_string_list(prm.get("Extra terms")); - - for(unsigned int x=0; x< all_extras.size(); ++x) - extras[i][all_extras[x]] = true; - - prm.leave_subsection(); - - std::vector all_comps = Utilities::split_string_list(all_names, ';'); - // Check that the input string has all the needed fields - AssertThrow(all_comps.size() == headers.size(), - ExcDimensionMismatch(all_comps.size() , headers.size())); - - for(unsigned int j=0; j all_types = - Utilities::split_string_list(all_comps[j]); - for(unsigned int k=0; k -void ErrorHandler::output_table (const unsigned int table_no) { - if (compute_error) { - AssertThrow(initialized, ExcNotInitialized()); - AssertThrow(table_no < names.size(), ExcIndexRange(table_no, 0, names.size())); - - // Add convergence rates - if(add_rates[table_no]) { - if(extras[table_no]["dofs"]) - tables[table_no].omit_column_from_convergence_rate_evaluation("dofs"); - if(extras[table_no]["cells"]) - tables[table_no].omit_column_from_convergence_rate_evaluation("cells"); - if(extras[table_no]["dt"]) - tables[table_no].omit_column_from_convergence_rate_evaluation("dt"); - if(rate_keys[table_no] == "") - tables[table_no].evaluate_all_convergence_rates(ConvergenceTable::reduction_rate_log2); - else - tables[table_no].evaluate_all_convergence_rates(rate_keys[table_no], ConvergenceTable::reduction_rate_log2); - } - - if(output_error) tables[table_no].write_text(std::cout); - - if(write_error) { - std::string filename = names[table_no] + - "." + error_file_format; - - std::ofstream table_file(filename.c_str()); - - if(error_file_format != "txt") - tables[table_no].write_tex(table_file); - else - tables[table_no].write_text(table_file); - table_file.close(); - } - } -} - -template -void ErrorHandler::difference(const DoFHandler & dh, - const VECTOR &solution1, - const VECTOR &solution2, - unsigned int table_no, - double dt) { - AssertThrow(solution1.size() == solution2.size(), ExcDimensionMismatch( - solution1.size(), solution2.size())); - VECTOR solution(solution1); - solution -= solution2; - error_from_exact(dh, solution, - ConstantFunction(0, headers.size()), table_no, dt); -} - - -template -void ErrorHandler::error_from_exact(const DoFHandler & dh, - const VECTOR &solution, - const Function &exact, - unsigned int table_no, - double dt) -{ - if (compute_error) { - AssertThrow(initialized, ExcNotInitialized()); - AssertThrow(table_no < types.size(), ExcIndexRange(table_no, 0, names.size())); - AssertThrow(exact.n_components == types[table_no].size(), - ExcDimensionMismatch(exact.n_components, types[table_no].size())); - - deallog.push("Error"); - deallog << "Calculating Errors." << std::endl; - std::vector< std::vector > error( exact.n_components, std::vector(4)); - const unsigned int n_active_cells = dh.get_tria().n_active_cells(); - const unsigned int n_dofs=dh.n_dofs(); - - if(extras[table_no]["cells"]) { - tables[table_no].add_value("cells", n_active_cells); - tables[table_no].set_tex_caption("cells", "\\# cells"); - tables[table_no].set_tex_format("cells", "r"); - } - if(extras[table_no]["dofs"]) { - tables[table_no].add_value("dofs", n_dofs); - tables[table_no].set_tex_caption("dofs", "\\# dofs"); - tables[table_no].set_tex_format("dofs", "r"); - } - if(extras[table_no]["dt"]) { - tables[table_no].add_value("dt", dt); - tables[table_no].set_tex_caption("dt", "\\Delta t"); - tables[table_no].set_tex_format("dt", "r"); - } - - bool compute_Linfty = false; - bool compute_L2 = false; - bool compute_W1infty = false; - bool compute_H1 = false; - bool add_this = false; - - unsigned int last_non_add = 0; - - for(unsigned int component=0; component < exact.n_components; ++component) { - NormFlags norm = types[table_no][component]; - - deallog << "Error flags: " << norm << std::endl; - - // Select one Component - ComponentSelectFunction select_component ( component, 1. , exact.n_components); - - Vector difference_per_cell (dh.get_tria().n_active_cells()); - - QGauss q_gauss((dh.get_fe().degree+1) * 2); - - // The add bit is set - add_this = (norm & AddUp); - - if(!add_this) { - last_non_add = component; - compute_L2 = ( norm & L2 ); - compute_H1 = ( norm & H1 ); - compute_W1infty = ( norm & W1infty ) ; - compute_Linfty = ( norm & Linfty ); - } - // if add is set, we do not modify the previous selection - - if(compute_L2) { - VectorTools::integrate_difference (//mapping, - dh, //dof_handler, - solution, - exact, - difference_per_cell, - q_gauss, - VectorTools::L2_norm, - &select_component ); - } - - const double L2_error = difference_per_cell.l2_norm(); - difference_per_cell = 0; - - if(compute_H1) { - VectorTools::integrate_difference (//mapping, - dh, //dof_handler, - solution, - exact, - difference_per_cell, - q_gauss, - VectorTools::H1_norm, - &select_component ); - } - const double H1_error = difference_per_cell.l2_norm(); - difference_per_cell = 0; - - if(compute_W1infty) { - VectorTools::integrate_difference (//mapping, - dh, //dof_handler, - solution, - exact, - difference_per_cell, - q_gauss, - VectorTools::W1infty_norm, - &select_component ); - } - - const double W1inf_error = difference_per_cell.linfty_norm(); - - if(compute_Linfty) { - VectorTools::integrate_difference (//mapping, - dh, //dof_handler, - solution, - exact, - difference_per_cell, - q_gauss, - VectorTools::Linfty_norm, - &select_component ); - } - - const double Linf_error = difference_per_cell.linfty_norm(); - - if(add_this) { - AssertThrow(component, ExcMessage("Cannot add on first component!")); - - error[last_non_add][0] = std::max(error[last_non_add][0], Linf_error); - error[last_non_add][1] += L2_error; - error[last_non_add][2] = std::max(error[last_non_add][2], W1inf_error); - error[last_non_add][3] += H1_error; - - } else { - - error[component][0] = Linf_error; - error[component][1] = L2_error; - error[component][2] = W1inf_error; - error[component][3] = H1_error; - - } - } - - for(unsigned int j=0; j -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include - - -#include "parsed_symmetric_tensor_function.h" -#include "local_assemble_elastic_matrix.h" -#include "local_assemble_elastic_rhs.h" -#include "vector_space.h" -#include "my_tools.h" - -using namespace dealii; -using namespace dealii::Functions; - -template -class LinearElastic -{ - public: - - LinearElastic(); - - ~LinearElastic(); - - void declare_parameters(ParameterHandler &prm); - - void parse_parameters(ParameterHandler &prm); - - void reinit(VectorSpace &vspace); - - void build_matrix(ParameterHandler &prm, - VectorSpace &vspace); - - void reinit_step(double &time); - - void build_rhs(VectorSpace &vspace); - - void solve(VectorSpace &vspace, - double &tolerance); - - SparseMatrix A; - - ParsedSymmetricTensorFunction<4, dim> C; - - //The solution vectors - Vector sol_total; - Vector sol_increment; - - private: - - //various functions for the laplace equation - ParsedFunction dbc; - ParsedFunction nbc; - ParsedFunction bf; - - //The system matrix for linear elasticity - SparsityPattern sp_A; - - //The distributed right hand side - Vector rhs; - - - -}; - -#endif diff --git a/deal.II/examples/step-41/include/linear_elastic.templates.h b/deal.II/examples/step-41/include/linear_elastic.templates.h deleted file mode 100644 index 02b51cf708..0000000000 --- a/deal.II/examples/step-41/include/linear_elastic.templates.h +++ /dev/null @@ -1,160 +0,0 @@ -#include "../include/linear_elastic.h" - -template -LinearElastic::LinearElastic() - : - dbc(dim), - nbc(dim), - bf(dim) -{} - - -template -LinearElastic::~LinearElastic() -{ - A.clear(); -} - -template -void LinearElastic::declare_parameters(ParameterHandler &prm) -{ - prm.enter_subsection("Dirichlet Data"); - Functions::ParsedFunction::declare_parameters(prm, dim); - prm.leave_subsection(); - - prm.enter_subsection("f - Body Source"); - Functions::ParsedFunction::declare_parameters(prm, dim); - prm.leave_subsection(); - - prm.enter_subsection("Elastic Moduli"); - ParsedSymmetricTensorFunction<4, dim>::declare_parameters(prm); - prm.leave_subsection(); - - prm.enter_subsection("Neumann Data"); - Functions::ParsedFunction::declare_parameters(prm, dim); - prm.leave_subsection(); - -} - -template -void LinearElastic::parse_parameters(ParameterHandler &prm) -{ - prm.enter_subsection("f - Body Source"); - bf.parse_parameters(prm); - prm.leave_subsection(); - - prm.enter_subsection("Neumann Data"); - nbc.parse_parameters(prm); - prm.leave_subsection(); - - prm.enter_subsection("Elastic Moduli"); - C.parse_parameters(prm); - prm.leave_subsection(); - - prm.enter_subsection("Dirichlet Data"); - dbc.parse_parameters(prm); - prm.leave_subsection(); - -} - -template -void LinearElastic::reinit(VectorSpace &vspace) -{ - - sp_A.reinit(vspace.n_dofs(), - vspace.n_dofs(), - vspace.get_dh().max_couplings_between_dofs()); - - DoFTools::make_sparsity_pattern (static_cast &> (vspace.get_dh()), - sp_A); - vspace.get_hang().condense (sp_A); - sp_A.compress(); - - A.reinit(sp_A); - - sol_total.reinit(vspace.n_dofs()); - sol_increment.reinit(vspace.n_dofs()); - rhs.reinit(vspace.n_dofs()); - -} - -template -void LinearElastic::build_matrix(ParameterHandler &prm, - VectorSpace &vspace) -{ - - LocalAssembleElasticMatrix local_elastic_matrix; - local_elastic_matrix.reinit(vspace.get_fe()); - local_elastic_matrix.parameters(prm); - - MyTools::assemble(vspace.get_dh(), vspace.get_hang(), - -1, A, local_elastic_matrix); - -} - -template -void LinearElastic::reinit_step(double &time) -{ - - rhs = 0; - //sol_increment = 0; - bf.set_time(time); - nbc.set_time(time); - dbc.set_time(time); -} - -template -void LinearElastic::build_rhs(VectorSpace &vspace) -{ - - LocalAssembleElasticRHS elastic_local_rhs; - - elastic_local_rhs.reinit(vspace.get_fe(), - bf, nbc, - vspace.neumann_bc); - - MyTools::assemble_rhs(vspace.get_dh(), vspace.get_hang(), - -1, rhs, elastic_local_rhs); - -} - -template -void LinearElastic::solve(VectorSpace &vspace, - double &tolerance) -{ - - //get the DBC map - std::map bv; - vspace.interpolate_dirichlet_bc(dbc, bv); - - //we want to leave the matrix untouched for future projections - //so we use a filtered matrix object - FilteredMatrix > filtered_A(A); - filtered_A.add_constraints(bv); - filtered_A.apply_constraints(rhs, true); - - deallog << "RHS L2 Norm After DBC: " << rhs.l2_norm() << std::endl; - - //make the preconditioner - PreconditionJacobi > precon; - precon.initialize(A, 0.8); - FilteredMatrix > filtered_precon(precon); - - SolverControl control (vspace.n_dofs(), - tolerance*rhs.linfty_norm(), - false, true); - - GrowingVectorMemory > mem; - SolverCG > solver (control, mem); - - //SparseDirectUMFPACK direct_solver; - //direct_solver.initialize(filtered_A); - - solver.solve(filtered_A,sol_total,rhs,precon); - - vspace.get_hang().distribute(sol_total); - - //sol_total += sol_increment; - -} - diff --git a/deal.II/examples/step-41/include/local_assemble.h b/deal.II/examples/step-41/include/local_assemble.h deleted file mode 100644 index 89c0bdb215..0000000000 --- a/deal.II/examples/step-41/include/local_assemble.h +++ /dev/null @@ -1,66 +0,0 @@ -#ifndef LOCAL_ASSEMBLE_STANDARD -#define LOCAL_ASSEMBLE_STANDARD - -#include "local_assemble_base.h" -#include -#include -#include -#include - -#include -#include -#include - - -template > - class LocalAssemble : public LocalAssembleBase -{ -public: -#if deal_II_dimension != 1 - LocalAssemble(); - - /** Given two face finite elements, assemble the two matrices.*/ - virtual void assemble_face_terms (FEFaceValuesBase &fe_v, - FEFaceValuesBase &fe_n_v, - FullMatrix &, - FullMatrix &); - - virtual void assemble_face_term - (const typename DH::active_cell_iterator& , - const unsigned int, - const typename DH::active_cell_iterator& , - const unsigned int, - FullMatrix &, - FullMatrix &); - - virtual void assemble_face_term - (const typename DH::active_cell_iterator& , - const unsigned int, - const unsigned int, - const typename DH::active_cell_iterator& , - const unsigned int, - FullMatrix &, - FullMatrix &); - - virtual void assemble_face_term - (const typename DH::active_cell_iterator& , - const unsigned int, - const typename DH::active_cell_iterator& , - const unsigned int, - const unsigned int, - FullMatrix &, - FullMatrix &); - - /** A pointer to fe_face_values objects. */ - SmartPointer > fe_face_v; - - /** A pointer to fe_face_values objects. */ - SmartPointer > fe_face_n_v; - - /** A pointer to fe_face_values objects. */ - SmartPointer > fe_sub_face_v; -#endif - -}; - -#endif diff --git a/deal.II/examples/step-41/include/local_assemble.templates.h b/deal.II/examples/step-41/include/local_assemble.templates.h deleted file mode 100644 index 1a2d4a598e..0000000000 --- a/deal.II/examples/step-41/include/local_assemble.templates.h +++ /dev/null @@ -1,67 +0,0 @@ -#include "local_assemble.h" -#include - -#if deal_II_dimension != 1 - -template -LocalAssemble::LocalAssemble() : - fe_face_v(0, "Local Assemble FeFaceValues Pointer"), - fe_face_n_v(0, "Local Assemble FeFaceValues on Neighbor Pointer"), - fe_sub_face_v(0, "Local Assemble FesubfaceValues Pointer") -{ -} - -template -void LocalAssemble::assemble_face_terms (FEFaceValuesBase &, - FEFaceValuesBase &, - FullMatrix &, - FullMatrix &) -{ - Assert(false, ExcPureFunctionCalled()); -} - - -template -void LocalAssemble::assemble_face_term -(const typename DH::active_cell_iterator& cell, - const unsigned int face_no, - const typename DH::active_cell_iterator& n_cell, - const unsigned int n_face_no, - FullMatrix &cell_m, - FullMatrix &cell_n_m) -{ - this->fe_face_v->reinit(cell, face_no); - this->fe_face_n_v->reinit(n_cell, n_face_no); - assemble_face_terms(*fe_face_v, *fe_face_n_v, cell_m, cell_n_m); -} - -template -void LocalAssemble::assemble_face_term -(const typename DH::active_cell_iterator& cell, - const unsigned int face_no, - const typename DH::active_cell_iterator& n_cell, - const unsigned int n_face_no, - const unsigned int n_sub_face_no, - FullMatrix &cell_m, - FullMatrix &cell_n_m) -{ - fe_face_v->reinit(cell, face_no); - fe_sub_face_v->reinit(n_cell, n_face_no, n_sub_face_no); - assemble_face_terms(*fe_face_v, *fe_sub_face_v, cell_m, cell_n_m); -} - -template -void LocalAssemble::assemble_face_term -(const typename DH::active_cell_iterator& cell, - const unsigned int face_no, - const unsigned int subface_no, - const typename DH::active_cell_iterator& n_cell, - const unsigned int n_face_no, - FullMatrix &cell_m, - FullMatrix &cell_n_m) -{ - fe_sub_face_v->reinit(cell, face_no, subface_no); - fe_face_v->reinit(n_cell, n_face_no); - assemble_face_terms(*fe_sub_face_v, *fe_face_v, cell_m, cell_n_m); -} -#endif diff --git a/deal.II/examples/step-41/include/local_assemble_base.h b/deal.II/examples/step-41/include/local_assemble_base.h deleted file mode 100644 index d8576f33ef..0000000000 --- a/deal.II/examples/step-41/include/local_assemble_base.h +++ /dev/null @@ -1,102 +0,0 @@ -#ifndef __deal2__local_assemble_base_h -#define __deal2__local_assemble_base_h - -#include -#include -#include -#include -#include "assemble_flags.h" - -#include -#include - -using namespace dealii; - -/** Base class for local assemblers. This is the object you should - derive your own classes from, if you want to use the VirtualMatrix - class or the MyTools::assemble utility. It provides a common - interface to the procedure for assembling locally the matrices. All - functions are virtual and would throw an exception if called. You - should really implement your own class deriving it from this one. An - example is provided in the LocalAssembleLaplace class, which - assemble the Laplace equations locally for continuous finite - elements. - - All methods work basically in the same way. They take a FEValues - object and a FullMatrix one as input, and fill the FullMatrix with - appropriate values. Exceptions are the face and boundary terms, - which take FEFaceValues as input. - - This object is supposed to be used in a Virtual Matrix via the - VirtualMatrix::enter method. - - Here the only thing which is actually done is to create the internal - AssembleFlags object upon construction, which is used to determine which - of the methods will be called by the virtual matrix. - */ -template > -class LocalAssembleBase : public Subscriptor -{ - public: - virtual ~LocalAssembleBase() {}; - /** This object will be called for each cell of a triangulation. */ - // virtual void assemble_cell_term(const FEValues& fe_v, - // FullMatrix &u_v_matrix) const; - virtual void assemble_cell_term - (const typename DH::active_cell_iterator&, - FullMatrix &cell_m); - - /** This object will be called for each boundary face of a triangulation.*/ - virtual void assemble_boundary_term - (const typename DH::active_cell_iterator&, const unsigned int, - FullMatrix &cell_m); - - /** This object will be called for each face of a - triangulation. This one is called when the face is shared - by neighbors on the same level of refinement. */ - virtual void assemble_face_term - (const typename DH::active_cell_iterator &cell, - const unsigned int face_no, - const typename DH::active_cell_iterator &neighbor, - const unsigned int neighbor_face_no, - FullMatrix &cell_m, - FullMatrix &neighbor_cell_m); - - /** This object will be called for each face of a - triangulation. This one is called when the current face is - coarser. */ - virtual void assemble_face_term - (const typename DH::active_cell_iterator &cell, - const unsigned int face_no, - const unsigned int sub_face_no, - const typename DH::active_cell_iterator &neighbor, - const unsigned int neighbor_face_no, - FullMatrix &cell_m, - FullMatrix &neighbor_cell_m); - - /** This object will be called for each face of a - triangulation. This one is called when the current face is - finer. */ - virtual void assemble_face_term - (const typename DH::active_cell_iterator &cell, - const unsigned int face_no, - const typename DH::active_cell_iterator &neighbor, - const unsigned int neighbor_face_no, - const unsigned int neighbor_subface_no, - FullMatrix &cell_m, - FullMatrix &neighbor_cell_m); - - /** Assemble rhs. This will be called for each cell.*/ - virtual void assemble_rhs_term - (const typename DH::active_cell_iterator&, - Vector &); - - /** This object will be called for each boundary face of a triangulation.*/ - virtual void assemble_rhs_boundary_term - (const typename DH::active_cell_iterator&, const unsigned int, - Vector &); - - AssembleFlags flags; -}; - -#endif diff --git a/deal.II/examples/step-41/include/local_assemble_base.templates.h b/deal.II/examples/step-41/include/local_assemble_base.templates.h deleted file mode 100644 index 98fdc4e873..0000000000 --- a/deal.II/examples/step-41/include/local_assemble_base.templates.h +++ /dev/null @@ -1,68 +0,0 @@ -#include "local_assemble_base.h" - -template -void LocalAssembleBase::assemble_cell_term (const typename DH::active_cell_iterator&, - FullMatrix &) -{ - AssertThrow(false, ExcPureFunctionCalled()); -} - -template -void LocalAssembleBase::assemble_boundary_term -(const typename DH::active_cell_iterator&,const unsigned int, - FullMatrix &) -{ - AssertThrow(false, ExcPureFunctionCalled()); -} - -template -void LocalAssembleBase::assemble_face_term -(const typename DH::active_cell_iterator&,const unsigned int, - const typename DH::active_cell_iterator&,const unsigned int, - FullMatrix &, - FullMatrix &) -{ - AssertThrow(false, ExcPureFunctionCalled()); -} - -template -void LocalAssembleBase::assemble_face_term -(const typename DH::active_cell_iterator&, - const unsigned int, const unsigned int, - const typename DH::active_cell_iterator&,const unsigned int, - FullMatrix &, - FullMatrix &) -{ - AssertThrow(false, ExcPureFunctionCalled()); -} - -template -void LocalAssembleBase::assemble_face_term -(const typename DH::active_cell_iterator&,const unsigned int, - const typename DH::active_cell_iterator&, - const unsigned int, - const unsigned int, - FullMatrix &, - FullMatrix &) -{ - AssertThrow(false, ExcPureFunctionCalled()); -} - - -template -void LocalAssembleBase::assemble_rhs_term -(const typename DH::active_cell_iterator&, - Vector &) -{ - AssertThrow(false, ExcPureFunctionCalled()); -} - -template -void LocalAssembleBase::assemble_rhs_boundary_term -(const typename DH::active_cell_iterator&, - const unsigned, - Vector &) -{ - AssertThrow(false, ExcPureFunctionCalled()); -} - diff --git a/deal.II/examples/step-41/include/local_assemble_elastic_matrix.h b/deal.II/examples/step-41/include/local_assemble_elastic_matrix.h deleted file mode 100644 index 64c21f2855..0000000000 --- a/deal.II/examples/step-41/include/local_assemble_elastic_matrix.h +++ /dev/null @@ -1,50 +0,0 @@ -#ifndef LOCAL_ASSEMBLE_ELASTIC_MATRIX -#define LOCAL_ASSEMBLE_ELASTIC_MATRIX - -#include "local_assemble.h" -#include "parsed_symmetric_tensor_function.h" -#include - -#include -#include -#include -#include -#include -#include - -#include -#include -#include - - -template -class LocalAssembleElasticMatrix : public LocalAssembleBase -{ - public: - - LocalAssembleElasticMatrix(); - - ~LocalAssembleElasticMatrix(); - - virtual void assemble_cell_term - (const typename MGDoFHandler::active_cell_iterator& cell, - FullMatrix &); - - - void reinit(FiniteElement&); - - void parameters(ParameterHandler &prm); - - private: - /** A pointer to the finite element.*/ - SmartPointer > fe; - - /** A pointer to the rhs function.*/ - ParsedSymmetricTensorFunction<4, dim> C; - - /** A pointer to fe_values objects. */ - SmartPointer > fe_v; - -}; - -#endif diff --git a/deal.II/examples/step-41/include/local_assemble_elastic_matrix.templates.h b/deal.II/examples/step-41/include/local_assemble_elastic_matrix.templates.h deleted file mode 100644 index 76480c4375..0000000000 --- a/deal.II/examples/step-41/include/local_assemble_elastic_matrix.templates.h +++ /dev/null @@ -1,85 +0,0 @@ -#include "../include/local_assemble_elastic_matrix.h" -#include - -template -LocalAssembleElasticMatrix::LocalAssembleElasticMatrix() : -fe(0, "Local Assemble Fe Pointer"), - fe_v(0, "Local Assemble FeValues Pointer") -{ -} - - -template -void LocalAssembleElasticMatrix::reinit (FiniteElement& myfe) -{ - if(fe_v) { - FEValues * p = fe_v; - fe_v = 0; - delete p; - } - fe = &myfe; - QGauss quadrature(2*fe->degree + 1); - QGauss face_quadrature(2*fe->degree + 1); - UpdateFlags flags (update_values | - update_gradients | - update_q_points | - update_JxW_values); - fe_v = new FEValues(*fe, quadrature, flags); - - this->flags = assemble_cell; - -} - -template -LocalAssembleElasticMatrix::~LocalAssembleElasticMatrix() -{ - if(fe_v) { - FEValues * p = fe_v; - fe_v = 0; - delete p; - } - fe = 0; -} - -template -void LocalAssembleElasticMatrix::parameters(ParameterHandler &prm) -{ - prm.enter_subsection("Elastic Moduli"); - C.parse_parameters(prm); - prm.leave_subsection(); -} - -template -void LocalAssembleElasticMatrix::assemble_cell_term -(const typename MGDoFHandler::active_cell_iterator& cell, - FullMatrix &cell_m) -{ - cell_m = 0; - Assert(fe, ExcNotInitialized()); - - fe_v->reinit(cell); - - std::vector > points(fe_v->n_quadrature_points); - points = fe_v->get_quadrature_points(); - unsigned int comp_i, comp_j; - - for(unsigned int point =0; pointn_quadrature_points; ++point) { - SymmetricTensor<4,dim> C_qp = C(points[point]); - - for (unsigned int i=0; idofs_per_cell; ++i) { - comp_i = fe->system_to_component_index(i).first; - for (unsigned int j=0; jdofs_per_cell; ++j) { - comp_j = fe->system_to_component_index(j).first; - - for(unsigned int b=0; bshape_grad(j, point)[n] * - fe_v->shape_grad(i, point)[b] * - fe_v->JxW(point); - } //n - }//b - } //j - }//i - }//qp -} diff --git a/deal.II/examples/step-41/include/local_assemble_elastic_rhs.h b/deal.II/examples/step-41/include/local_assemble_elastic_rhs.h deleted file mode 100644 index a31081ee43..0000000000 --- a/deal.II/examples/step-41/include/local_assemble_elastic_rhs.h +++ /dev/null @@ -1,65 +0,0 @@ -#ifndef LOCAL_ASSEMBLE_ELASTIC_RHS -#define LOCAL_ASSEMBLE_ELASTIC_RHS - -#include "local_assemble.h" -#include "parsed_symmetric_tensor_function.h" -#include - -#include -#include -#include -#include -#include -#include - -#include -#include -#include - - -template -class LocalAssembleElasticRHS : public LocalAssembleBase -{ - public: - - LocalAssembleElasticRHS(); - - ~LocalAssembleElasticRHS(); - - virtual void assemble_rhs_term - (const typename MGDoFHandler::active_cell_iterator&, - Vector &); - - /** This object will be called for each boundary face of a triangulation.*/ - virtual void assemble_rhs_boundary_term - (const typename MGDoFHandler::active_cell_iterator&, const unsigned int, - Vector &); - - - void reinit(FiniteElement&, - Function &, - Function &, - std::map > &); - - private: - /** A pointer to the finite element.*/ - SmartPointer > fe; - - /** A pointer to the rhs function.*/ - SmartPointer > rhs; - - /** A pointer to the Neumann function.*/ - SmartPointer > neumann; - - /** A map of ids and components for neumann bc. */ - std::map > neumann_map; - - /** A pointer to fe_values objects. */ - SmartPointer > fe_v; - - /** A pointer to fe_face_values objects. */ - SmartPointer > fe_face_v; - -}; - -#endif diff --git a/deal.II/examples/step-41/include/local_assemble_elastic_rhs.templates.h b/deal.II/examples/step-41/include/local_assemble_elastic_rhs.templates.h deleted file mode 100644 index c428b2671b..0000000000 --- a/deal.II/examples/step-41/include/local_assemble_elastic_rhs.templates.h +++ /dev/null @@ -1,133 +0,0 @@ -#include "../include/local_assemble_elastic_rhs.h" -#include - -template -LocalAssembleElasticRHS::LocalAssembleElasticRHS() : -fe(0, "Local Assemble Fe Pointer"), - fe_v(0, "Local Assemble FeValues Pointer"), - fe_face_v(0, "Local Assemble FeFaceValues Pointer") -{ -} - - -template -void LocalAssembleElasticRHS::reinit (FiniteElement &myfe, - Function &bf, - Function &nbc, - std::map > & n_map) -{ - if(fe_v) { - FEValues * p = fe_v; - fe_v = 0; - delete p; - } - if(fe_face_v) { - FEFaceValues * p = fe_face_v; - fe_face_v = 0; - delete p; - } - fe = &myfe; - QGauss quadrature(2*fe->degree + 1); - QGauss face_quadrature(2*fe->degree + 1); - UpdateFlags flags (update_values | - update_gradients | - update_q_points | - update_JxW_values); - fe_v = new FEValues(*fe, quadrature, flags); - - fe_face_v = new FEFaceValues(*fe, face_quadrature, flags); - - this->flags = - assemble_rhs_cell| - assemble_rhs_boundary; - - rhs = &bf; - neumann = &nbc; - neumann_map = n_map; -} - -template -LocalAssembleElasticRHS::~LocalAssembleElasticRHS() -{ - if(fe_v) { - FEValues * p = fe_v; - fe_v = 0; - delete p; - } - if(fe_face_v) { - FEFaceValues * p = fe_face_v; - fe_face_v = 0; - delete p; - } - fe = 0; -} - - -template -void LocalAssembleElasticRHS::assemble_rhs_term -(const typename MGDoFHandler::active_cell_iterator& cell, - Vector &cell_rhs) -{ - cell_rhs = 0; - Assert(fe, ExcNotInitialized()); - - fe_v->reinit(cell); - - unsigned int size = fe->n_components(); - unsigned int n_q_points = fe_v->n_quadrature_points; - - std::vector > load_vector (n_q_points, Vector(size) ); - - /* Evaluate rhs and solution on the quadrature points. */ - rhs->vector_value_list (fe_v->get_quadrature_points(), load_vector); - - unsigned int comp_i; - for (unsigned int i=0; idofs_per_cell; ++i) { - comp_i = fe->system_to_component_index(i).first; - for (unsigned int q_point=0; q_pointshape_value(i,q_point) * - fe_v->JxW(q_point) ); - } - } -} - -template -void LocalAssembleElasticRHS::assemble_rhs_boundary_term -(const typename MGDoFHandler::active_cell_iterator& cell, - const unsigned int face_no, - Vector &cell_rhs) -{ - cell_rhs = 0; - // See if we need to do anything here - char id = cell->face(face_no)->boundary_indicator(); - if(neumann_map.find(id) == neumann_map.end()) - return; - - std::vector & filter = neumann_map[id]; - - Assert(fe, ExcNotInitialized()); - fe_face_v->reinit(cell,face_no); - - unsigned int size = fe->n_components(); - unsigned int n_q_points = fe_face_v->n_quadrature_points; - - /** Vector of boundary values.*/ - std::vector > neumann_vector (n_q_points, Vector(size) ); - - /* Evaluate rhs and solution on the quadrature points. */ - neumann->vector_value_list (fe_face_v->get_quadrature_points(), neumann_vector); - - unsigned int comp_i; - for (unsigned int i=0; idofs_per_cell; ++i) { - comp_i = fe->system_to_component_index(i).first; - if(filter[comp_i]) - for (unsigned int q_point=0; q_pointshape_value(i,q_point) * - fe_face_v->JxW(q_point) ); - } - } -} diff --git a/deal.II/examples/step-41/include/local_assemble_hardening_project.h b/deal.II/examples/step-41/include/local_assemble_hardening_project.h deleted file mode 100644 index fc4be24031..0000000000 --- a/deal.II/examples/step-41/include/local_assemble_hardening_project.h +++ /dev/null @@ -1,53 +0,0 @@ -#ifndef LOCAL_ASSEMBLE_HARDENING_PROJECT -#define LOCAL_ASSEMBLE_HARDENING_PROJECT - -#include "local_assemble.h" -#include "parsed_symmetric_tensor_function.h" -#include - -#include -#include -#include -#include -#include -#include - -#include -#include -#include - - -template -class LocalAssemblePlasticProject : public LocalAssembleBase -{ - public: - - LocalAssemblePlasticProject(); - - ~LocalAssemblePlasticProject(); - - virtual void assemble_rhs_term - (const typename MGDoFHandler::active_cell_iterator&, - Vector &); - - void parameters(ParameterHandler &prm); - - - void reinit(FiniteElement&, - Table<2, SymmetricTensor<2,dim> > &); - - private: - /** A pointer to the finite element.*/ - SmartPointer > fe; - - /** A pointer to the plastic strain */ - Table > plastic_strain; - - /** A pointer to fe_values objects. */ - SmartPointer > fe_v; - - ParsedSymmetricTensorFunction<4, dim> C; - -}; - -#endif diff --git a/deal.II/examples/step-41/include/local_assemble_mass.h b/deal.II/examples/step-41/include/local_assemble_mass.h deleted file mode 100644 index 9d3e8085cc..0000000000 --- a/deal.II/examples/step-41/include/local_assemble_mass.h +++ /dev/null @@ -1,45 +0,0 @@ -#ifndef LOCAL_ASSEMBLE_MASS_MATRIX -#define LOCAL_ASSEMBLE_MASS_MATRIX - -#include "local_assemble.h" - -#include -#include -#include -#include -#include -#include - -template -class LocalAssembleMass : -public LocalAssembleBase -{ - public: - - LocalAssembleMass(); - - ~LocalAssembleMass(); - - virtual void assemble_cell_term - (const typename DH::active_cell_iterator& cell, - FullMatrix &); - - virtual void assemble_rhs_term - (const typename DH::active_cell_iterator&, - Vector &); - - void reinit(FiniteElement&, - Function &); - - private: - /** A pointer to the finite element.*/ - SmartPointer > fe; - - /** A pointer to the rhs function.*/ - SmartPointer > rhs; - - /** A pointer to fe_values objects. */ - SmartPointer > fe_v; -}; - -#endif diff --git a/deal.II/examples/step-41/include/local_assemble_mass.templates.h b/deal.II/examples/step-41/include/local_assemble_mass.templates.h deleted file mode 100644 index da022244eb..0000000000 --- a/deal.II/examples/step-41/include/local_assemble_mass.templates.h +++ /dev/null @@ -1,93 +0,0 @@ -#include "../include/local_assemble_mass.h" -#include "utilities.h" -#include -#include - -template -LocalAssembleMass::LocalAssembleMass() : - fe(0, "Local Assemble Fe Pointer"), - fe_v(0, "Local Assemble FeValues Pointer") -{ -} - - -template -void LocalAssembleMass::reinit (FiniteElement &myfe, - Function &f) -{ - smart_delete(fe_v); - fe = &myfe; - QGauss quadrature(2*fe->degree + 1); - UpdateFlags flags (update_values | - update_q_points | - update_JxW_values); - fe_v = new FEValues(*fe, quadrature, flags); - - this->flags = - assemble_cell| - assemble_rhs_cell; - - rhs = &f; -} - -template -LocalAssembleMass::~LocalAssembleMass() -{ - smart_delete(fe_v); - fe = 0; -} - -template -void LocalAssembleMass::assemble_cell_term -(const typename DH::active_cell_iterator& cell, - FullMatrix &cell_m) -{ - cell_m = 0; - Assert(fe, ExcNotInitialized()); - - fe_v->reinit(cell); - unsigned int comp_i = 0, comp_j = 0; - for (unsigned int i=0; idofs_per_cell; ++i) { - comp_i = fe->system_to_component_index(i).first; - for (unsigned int j=0; jdofs_per_cell; ++j) { - comp_j = fe->system_to_component_index(j).first; - if(comp_i == comp_j) - for(unsigned int q_point =0; q_pointn_quadrature_points; ++q_point) { - cell_m(i,j) += ( fe_v->shape_value(j,q_point) * - fe_v->shape_value(i,q_point) * - fe_v->JxW(q_point) ); - } - } - } -} - - -template -void LocalAssembleMass::assemble_rhs_term -(const typename DH::active_cell_iterator& cell, - Vector &cell_rhs) -{ - cell_rhs = 0; - Assert(fe, ExcNotInitialized()); - - fe_v->reinit(cell); - - unsigned int size = fe->n_components(); - unsigned int n_q_points = fe_v->n_quadrature_points; - - std::vector > load_vector (n_q_points, Vector(size) ); - - /* Evaluate rhs and solution on the quadrature points. */ - rhs->vector_value_list (fe_v->get_quadrature_points(), load_vector); - - unsigned int comp_i; - for (unsigned int i=0; idofs_per_cell; ++i) { - comp_i = fe->system_to_component_index(i).first; - for (unsigned int q_point=0; q_pointshape_value(i,q_point) * - fe_v->JxW(q_point) ); - } - } -} diff --git a/deal.II/examples/step-41/include/local_assemble_plastic_project.h b/deal.II/examples/step-41/include/local_assemble_plastic_project.h deleted file mode 100644 index 5bd80c81f6..0000000000 --- a/deal.II/examples/step-41/include/local_assemble_plastic_project.h +++ /dev/null @@ -1,53 +0,0 @@ -#ifndef LOCAL_ASSEMBLE_PLASTIC_PROJECT -#define LOCAL_ASSEMBLE_PLASTIC_PROJECT - -#include "local_assemble.h" -#include "parsed_symmetric_tensor_function.h" -#include - -#include -#include -#include -#include -#include -#include - -#include -#include -#include - - -template -class LocalAssemblePlasticProject : public LocalAssembleBase -{ - public: - - LocalAssemblePlasticProject(); - - ~LocalAssemblePlasticProject(); - - virtual void assemble_rhs_term - (const typename MGDoFHandler::active_cell_iterator&, - Vector &); - - void parameters(ParameterHandler &prm); - - - void reinit(FiniteElement&, - Table<2, SymmetricTensor<2,dim> > &); - - private: - /** A pointer to the finite element.*/ - SmartPointer > fe; - - /** A pointer to the plastic strain */ - Table > plastic_strain; - - /** A pointer to fe_values objects. */ - SmartPointer > fe_v; - - ParsedSymmetricTensorFunction<4, dim> C; - -}; - -#endif diff --git a/deal.II/examples/step-41/include/local_assemble_plastic_project.templates.h b/deal.II/examples/step-41/include/local_assemble_plastic_project.templates.h deleted file mode 100644 index 3105ddeb58..0000000000 --- a/deal.II/examples/step-41/include/local_assemble_plastic_project.templates.h +++ /dev/null @@ -1,93 +0,0 @@ -#include "../include/local_assemble_plastic_project.h" -#include - -template -LocalAssemblePlasticProject::LocalAssemblePlasticProject() : -fe(0, "Local Assemble Fe Pointer"), - fe_v(0, "Local Assemble FeValues Pointer") -{ -} - - -template -void LocalAssemblePlasticProject::reinit (FiniteElement &myfe, - Table<2, SymmetricTensor<2,dim> > &my_plastic_strain) -{ - if(fe_v) { - FEValues * p = fe_v; - fe_v = 0; - delete p; - } - fe = &myfe; - QGauss quadrature(2*fe->degree + 1); - QGauss face_quadrature(2*fe->degree + 1); - UpdateFlags flags (update_gradients | - update_q_points | - update_JxW_values); - fe_v = new FEValues(*fe, quadrature, flags); - - this->flags = assemble_rhs_cell; - - plastic_strain = my_plastic_strain; -} - -template -LocalAssemblePlasticProject::~LocalAssemblePlasticProject() -{ - if(fe_v) { - FEValues * p = fe_v; - fe_v = 0; - delete p; - } - fe = 0; -} - -template -void LocalAssemblePlasticProject::parameters(ParameterHandler &prm) -{ - prm.enter_subsection("Elastic Moduli"); - C.parse_parameters(prm); - prm.leave_subsection(); -} - - -template -void LocalAssemblePlasticProject::assemble_rhs_term -(const typename MGDoFHandler::active_cell_iterator& cell, - Vector &cell_rhs) -{ - cell_rhs = 0; - Assert(fe, ExcNotInitialized()); - - fe_v->reinit(cell); - - unsigned int size = fe->n_components(); - unsigned int n_q_points = fe_v->n_quadrature_points; - - std::vector > load_vector (n_q_points, Vector(size) ); - std::vector > points = fe_v->get_quadrature_points(); - - for (unsigned int qp=0; qp C_qp = C(points[qp]); - - for (unsigned int i=0; idofs_per_cell; ++i) { - unsigned int comp_i = fe->system_to_component_index(i).first; - - for(unsigned int b=0; bindex(), qp)[m][n] * - fe_v->shape_grad(i, qp)[b] * - fe_v->JxW(qp) ); - - } //n - } //m - } //b - } //i - } //qp -} - - diff --git a/deal.II/examples/step-41/include/local_assemble_scalar_project.h b/deal.II/examples/step-41/include/local_assemble_scalar_project.h deleted file mode 100644 index 6c05742d2d..0000000000 --- a/deal.II/examples/step-41/include/local_assemble_scalar_project.h +++ /dev/null @@ -1,51 +0,0 @@ -#ifndef LOCAL_ASSEMBLE_SCALAR_PROJECT -#define LOCAL_ASSEMBLE_SCALAR_PROJECT - -#include "local_assemble.h" -#include - -#include -#include -#include -#include -#include -#include - -#include -#include -#include - - -template -class LocalAssembleScalarProject : public LocalAssembleBase -{ - public: - - LocalAssembleScalarProject(); - - ~LocalAssembleScalarProject(); - - virtual void assemble_rhs_term - (const typename MGDoFHandler::active_cell_iterator&, - Vector &); - - - void reinit(FiniteElement&, - Table<2, double > &, - Table<2, double > &); - - private: - /** A pointer to the finite element.*/ - SmartPointer > fe; - - /** A pointer to the plastic strain */ - Table hard_table; - Table iter_table; - - /** A pointer to fe_values objects. */ - SmartPointer > fe_v; - - -}; - -#endif diff --git a/deal.II/examples/step-41/include/local_assemble_scalar_project.templates.h b/deal.II/examples/step-41/include/local_assemble_scalar_project.templates.h deleted file mode 100644 index 3821b90480..0000000000 --- a/deal.II/examples/step-41/include/local_assemble_scalar_project.templates.h +++ /dev/null @@ -1,84 +0,0 @@ -#include "../include/local_assemble_scalar_project.h" -#include - -template -LocalAssembleScalarProject::LocalAssembleScalarProject() : -fe(0, "Local Assemble Fe Pointer"), - fe_v(0, "Local Assemble FeValues Pointer") -{ -} - - -template -void LocalAssembleScalarProject::reinit (FiniteElement &myfe, - Table<2, double> &my_hard, - Table<2, double> &my_iter) -{ - if(fe_v) { - FEValues * p = fe_v; - fe_v = 0; - delete p; - } - fe = &myfe; - QGauss quadrature(2*fe->degree + 1); - QGauss face_quadrature(2*fe->degree + 1); - UpdateFlags flags (update_values | - update_q_points | - update_JxW_values); - fe_v = new FEValues(*fe, quadrature, flags); - - this->flags = assemble_rhs_cell; - - hard_table = my_hard; - iter_table = my_iter; -} - -template -LocalAssembleScalarProject::~LocalAssembleScalarProject() -{ - if(fe_v) { - FEValues * p = fe_v; - fe_v = 0; - delete p; - } - fe = 0; -} - - -template -void LocalAssembleScalarProject::assemble_rhs_term -(const typename MGDoFHandler::active_cell_iterator& cell, - Vector &cell_rhs) -{ - cell_rhs = 0; - Assert(fe, ExcNotInitialized()); - - fe_v->reinit(cell); - - unsigned int n_q_points = fe_v->n_quadrature_points; - - for (unsigned int qp=0; qpdofs_per_cell; ++i) { - unsigned int comp_i = fe->system_to_component_index(i).first; - - if(comp_i == 0) { - - cell_rhs(i) += ( hard_table(cell->index(), qp) * - fe_v->shape_value(i, qp) * - fe_v->JxW(qp) ); - } - - if(comp_i == 1) { - - cell_rhs(i) += ( iter_table(cell->index(), qp) * - fe_v->shape_value(i, qp) * - fe_v->JxW(qp) ); - } - - - } //i - } //qp -} - - diff --git a/deal.II/examples/step-41/include/my_tools.h b/deal.II/examples/step-41/include/my_tools.h deleted file mode 100644 index dd80259187..0000000000 --- a/deal.II/examples/step-41/include/my_tools.h +++ /dev/null @@ -1,989 +0,0 @@ -//--------------------------------------------------------------------------- -// $Id: fe.h,v 1.124 2005/09/17 09:19:19 guido Exp $ -// Version: $Name: $ -// -// Copyright (C) 2005 by the deal.II authors -// -// This file is subject to QPL and may not be distributed -// without copyright and license information. Please refer -// to the file deal.II/doc/license.html for the text and -// further information on this license. -// -//--------------------------------------------------------------------------- -#ifndef __deal2__my_tools_h -#define __deal2__my_tools_h - -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include - -#include -#include "assemble_flags.h" -#include "local_assemble.h" -#include "vector_space.h" - -/** - * Some assembly routines. These are an extension of the already - * existing deal.II assembly routines that make use of the support - * class LocalAssembleBase. These routines call functions of the local - * assemblers passing local matrices or vectors and the cell. It is - * responsability of the local assemblers to fill in the informations - * correctly. Unlike step-12 of the deal.II library, the cell iterator - * is passed, not the fe_values. This means that the local assembler - * should build its own fe_values object. It is its responsability to - * select all the outer details on how to actually compute these - * matrices... - * - * - * @author Luca Heltai, - * 2005, 2008 - */ - -namespace MyTools { - using namespace std; - - /** DG-Like assembly routine for matrices. Hanging node - * constraints are not taken into account, and one should do this - * outside. However face terms are correctly handled, and this - * method is capable of assemblying fully DG objects. */ - template - void assemble(DH &dof_handler, MATRIX& system_matrix, - LocalAssembleBase &local, - const unsigned int this_mpi_process = 0) - { - const unsigned int dofs_per_cell = dof_handler.get_fe().dofs_per_cell; - std::vector dofs (dofs_per_cell); - std::vector dofs_neighbor (dofs_per_cell); - - // Now we create the cell matrices and vectors. Here we need two - // cell matrices, both for face terms that include test functions - // vi (internal shape functions, i.e. shape functions - // of the current cell). - // - // i stands for internal, e stands for external - FullMatrix ui_vi_matrix (dofs_per_cell, dofs_per_cell); - FullMatrix ui_ve_matrix (dofs_per_cell, dofs_per_cell); - - // Furthermore we need some cell iterators. - typename DH::active_cell_iterator - cell = dof_handler.begin_active(), - endc = dof_handler.end(); - - // Now we start the loop over all - // active cells. - for (;cell!=endc; ++cell) - if( cell->subdomain_id() == this_mpi_process ) - { - // On each cell we need to reset the ui_vi_matrix - // and cell_vector to zero, before assembling the - // cell terms. - ui_vi_matrix = 0; - - // and call the function that assembles the cell terms. The - // first argument is the FEValues that was - // previously reinit'ed on the current cell. - if( local.flags & assemble_cell ) - local.assemble_cell_term(cell, ui_vi_matrix); - - // As in previous examples the vector `dofs' includes the - // dof_indices. - cell->get_dof_indices (dofs); - - // This is the start of the nested loop over all faces. - if( local.flags & (assemble_boundary|assemble_face) ) { - for (unsigned int face_no=0; face_no::faces_per_cell; ++face_no) - { - // First we set the face iterator - typename DH::face_iterator face=cell->face(face_no); - - // and clear the ui_ve_matrix on each face. - ui_ve_matrix = 0; - - // Now we distinguish the four different cases in the - // ordering mentioned above. We start with faces belonging - // to the boundary of the domain. - if (face->at_boundary()) - { - // and assemble the corresponding face terms. - if(local.flags & assemble_boundary) - local.assemble_boundary_term(cell, face_no, - ui_vi_matrix); - } - else if(local.flags & assemble_face) - { - // Now we are not on the boundary of the domain, - // therefore there must exist a neighboring cell. - typename DH::cell_iterator neighbor= - cell->neighbor(face_no); - - // We proceed with the second and most complicated case: - // the neighboring cell is more refined than the current - // cell. As in deal.II neighboring cells are restricted - // to have a level difference of not more than one, the - // neighboring cell is known to be at most ONCE more - // refined than the current cell. Furthermore also the - // face is more refined, i.e. it has children. Here we - // note that the following part of code will not work - // for dim==1. - if (face->has_children()) - { - // First we store which number the current cell has - // in the list of neighbors of the neighboring - // cell. Hence, - // neighbor-@>neighbor(neighbor_face_no) equals the - // current cell cell. - const unsigned int neighbor_face_no= - cell->neighbor_of_neighbor(face_no); - - - // We loop over subfaces - for (unsigned int subface_no=0; - subface_non_children(); ++subface_no) - { - // and set the cell iterator - // neighbor_child to the cell - // placed `behind' the current subface. - typename DH::active_cell_iterator - neighbor_child - = cell->neighbor_child_on_subface (face_no, subface_no); - - // As these are quite complicated indirections - // which one does not usually get right at first - // attempt we check for the internal - // consistency. - Assert (neighbor_child->face(neighbor_face_no) == face->child(subface_no), - ExcInternalError()); - Assert (!neighbor_child->has_children(), ExcInternalError()); - - // We need to reset the - // ui_ve_matrix on each subface - // because on each subface the un - // belong to different neighboring cells. - ui_ve_matrix = 0; - - // As already mentioned above for the current - // case (case 2) we employ the - // FESubfaceValues of the current - // cell (here reinited for the current cell, - // face and subface) and we employ the - // FEFaceValues of the neighboring child cell. - local.assemble_face_term(cell, face_no, subface_no, - neighbor_child, neighbor_face_no, - ui_vi_matrix, - ui_ve_matrix); - - // Then we get the dof indices of the - // neighbor_child cell - neighbor_child->get_dof_indices (dofs_neighbor); - - // and distribute ui_ve_matrix to - // the system_matrix - for (unsigned int i=0; iif (face-@>has_children()) - } - else - { - // We proceed with case 3, i.e. neighboring cell is - // of the same refinement level as the current cell. - if (neighbor->level() == cell->level()) - { - // Like before we store which number the current - // cell has in the list of neighbors of the - // neighboring cell. - const unsigned int neighbor_face_no=cell->neighbor_of_neighbor(face_no); - - local.assemble_face_term(cell, face_no, - neighbor, neighbor_face_no, - ui_vi_matrix, - ui_ve_matrix); - // End of if (neighbor-@>level() == - // cell-@>level()) - } - else - { - // Finally we consider case 4. When the - // neighboring cell is not finer and not of the - // same refinement level as the current cell it - // must be coarser. - Assert(neighbor->level() < cell->level(), ExcInternalError()); - - // Find out the how many'th face_no and - // subface_no the current face is w.r.t. the - // neighboring cell. - const std::pair faceno_subfaceno= - cell->neighbor_of_coarser_neighbor(face_no); - const unsigned int neighbor_face_no=faceno_subfaceno.first, - neighbor_subface_no=faceno_subfaceno.second; - - Assert (neighbor->neighbor_child_on_subface (neighbor_face_no, - neighbor_subface_no) - == cell, - ExcInternalError()); - - local.assemble_face_term(cell, face_no, - neighbor, - neighbor_face_no, - neighbor_subface_no, - ui_vi_matrix, - ui_ve_matrix); - } - - // Now we get the dof indices of the - // neighbor cell, - neighbor->get_dof_indices (dofs_neighbor); - - // and distribute the - // ui_ve_matrix. - for (unsigned int i=0; iface not at boundary: - } - // End of loop over all faces: - } - } - - // Finally we distribute the - // ui_vi_matrix - for (unsigned int i=0; i - void assemble(MGDoFHandler &mg_dof_handler, ConstraintMatrix &hang, - int level, MATRIX& m, LocalAssembleBase > &local, - const unsigned int this_mpi_process = 0) - { - AssertThrow( !(local.flags & assemble_face), ExcNotImplemented()); - // Cell iterators. - typename MGDoFHandler::active_cell_iterator cell, endc; - if(level < 0) { - cell = mg_dof_handler.begin_active(); - endc = mg_dof_handler.end(); - } else { - cell = mg_dof_handler.begin_active(level); - endc = mg_dof_handler.end(level); - } - - unsigned int dofs_per_cell = - mg_dof_handler.get_fe().dofs_per_cell; - - // dofs and neighbor dofs. - vector dofs(dofs_per_cell); - vector neighbor_dofs(dofs_per_cell); - - FullMatrix cell_m(dofs_per_cell, dofs_per_cell); - FullMatrix cell_neighbor_m(dofs_per_cell, dofs_per_cell); - - for (; cell!=endc; ++cell) - if( cell->subdomain_id() == this_mpi_process ) - { - // Reset local matrices. - cell_m = 0; - cell_neighbor_m = 0; - - // Update indices - if(level<0) - cell->get_dof_indices(dofs); - else - cell->get_mg_dof_indices (dofs); - - // Assemble cell term if needed - if( local.flags & assemble_cell ) { - - // - local.assemble_cell_term(cell, cell_m); - } - for(unsigned int n=0; n 1) - // Assemble boundary or face terms if needed - if( local.flags & (assemble_boundary|assemble_face) ) { - - for (unsigned int face_no=0; - face_no::faces_per_cell; - ++face_no) - { - typename MGDoFHandler::face_iterator face=cell->face(face_no); - - if (face->at_boundary()) - { - if(local.flags & assemble_boundary) { - cell_m = 0; - local.assemble_boundary_term(cell, face_no, cell_m); - hang.distribute_local_to_global(cell_m, dofs, m); - } - } // End of Boundary terms - else if(local.flags & assemble_face) { - typename MGDoFHandler::cell_iterator neighbor= - cell->neighbor(face_no);; - - if (face->has_children()) // The neighbor is more refined - { - const unsigned int n_face_no= - cell->neighbor_of_neighbor(face_no); - - - for (unsigned int subface_no=0; - subface_non_children(); ++subface_no) - { - typename MGDoFHandler::active_cell_iterator - neighbor_child - = cell->neighbor_child_on_subface (face_no, subface_no); - - Assert (neighbor_child->face(n_face_no) == face->child(subface_no), - ExcInternalError()); - Assert (!neighbor_child->has_children(), ExcInternalError()); - - cell_m = 0; - cell_neighbor_m = 0; - local.assemble_face_term(cell, face_no, subface_no, - neighbor_child, n_face_no, - cell_m, cell_neighbor_m); - if(level<0) - neighbor_child->get_dof_indices (neighbor_dofs); - else - neighbor_child->get_mg_dof_indices (neighbor_dofs); - - hang.distribute_local_to_global(cell_m, dofs, m); - // TBA Distribute neighbors!!! - // hang.distribute_local_to_global(cell_m, neighbor_dofs, dofs, m); - // - - - } - } // face has children - else - { - if (neighbor->level() == cell->level()) - { - const unsigned int n_face_no=cell->neighbor_of_neighbor(face_no); - - cell_neighbor_m = 0; - cell_m = 0; - local.assemble_face_term(cell, face_no, - neighbor, n_face_no, - cell_m, - cell_neighbor_m); - - if(level<0) - neighbor->get_dof_indices (neighbor_dofs); - else - neighbor->get_mg_dof_indices (neighbor_dofs); - - hang.distribute_local_to_global(cell_m, dofs, m); - // TBA: distribute neighbor dofs.... - // hang.distribute_local_to_global(cell_m, neighbor_dofs, dofs, m); - // - - } // Same level on the two neighbors - else - { - Assert(neighbor->level() < cell->level(), ExcInternalError()); - - const std::pair faceno_subfaceno= - cell->neighbor_of_coarser_neighbor(face_no); - const unsigned int neighbor_face_no=faceno_subfaceno.first, - neighbor_subface_no=faceno_subfaceno.second; - - Assert (neighbor->neighbor_child_on_subface (neighbor_face_no, - neighbor_subface_no) - == cell, - ExcInternalError()); - - cell_neighbor_m = 0; - cell_m = 0; - local.assemble_face_term(cell, face_no, - neighbor, neighbor_face_no, - neighbor_subface_no, - cell_m, cell_neighbor_m); - - if(level<0) - neighbor->get_dof_indices (neighbor_dofs); - else - neighbor->get_mg_dof_indices (neighbor_dofs); - - hang.distribute_local_to_global(cell_m, dofs, m); - // TBA Distribute neighbor dofs - // hang.distribute_local_to_global(cell_m, neighbor_dofs, dofs, m); - // - - } // The neighbor is coarser - } // else : if face has children - } // skipped if no flags for face terms - } // faces loop - } // Skipped if no flags on either faces or boundary -#else - //1D face terms -#endif - } // cells loop - } - - /** MG assembly routine for matrices and vectors. Hanging node - * constraints are taken into account. However face terms are NOT - * correctly handled, that is, this method is currently not - * capable of handling fluxex. - - Different levels can be assembled. If the level is -1, then the - active level is used. - */ - template - void assemble(MGDoFHandler &mg_dof_handler, ConstraintMatrix &hang, - int level, MATRIX& m, VEC& rhs, LocalAssembleBase > &local, - const unsigned int this_mpi_process = 0) - { - // Cell iterators. - typename MGDoFHandler::active_cell_iterator cell, endc; - if(level < 0) { - cell = mg_dof_handler.begin_active(); - endc = mg_dof_handler.end(); - } else { - cell = mg_dof_handler.begin_active(level); - endc = mg_dof_handler.end(level); - } - - unsigned int dofs_per_cell = - mg_dof_handler.get_fe().dofs_per_cell; - - // dofs and neighbor dofs. - vector dofs(dofs_per_cell); - vector neighbor_dofs(dofs_per_cell); - - FullMatrix cell_m(dofs_per_cell, dofs_per_cell); - FullMatrix cell_neighbor_m(dofs_per_cell, dofs_per_cell); - Vector local_rhs(dofs_per_cell); - - for (; cell!=endc; ++cell) - if( cell->subdomain_id() == this_mpi_process ) - { - // Reset local matrices. - cell_m = 0; - cell_neighbor_m = 0; - - // Update indices - if(level<0) - cell->get_dof_indices(dofs); - else - cell->get_mg_dof_indices (dofs); - - // Assemble cell term if needed - if( local.flags & assemble_cell ) - local.assemble_cell_term(cell, cell_m); - if( local.flags & assemble_rhs_cell) - local.assemble_rhs_term(cell, local_rhs); - - hang.distribute_local_to_global(cell_m, dofs, m); - hang.distribute_local_to_global(local_rhs, dofs, rhs); - -#if (DEAL_II_DIM > 1) - // Assemble boundary or face terms if needed - if( local.flags & (assemble_boundary|assemble_face) ) { - - for (unsigned int face_no=0; - face_no::faces_per_cell; - ++face_no) - { - typename MGDoFHandler::face_iterator face=cell->face(face_no); - - if (face->at_boundary()) - { - if(local.flags & assemble_boundary) { - cell_m = 0; - local.assemble_boundary_term(cell, face_no, cell_m); - hang.distribute_local_to_global(cell_m, dofs, m); - } - if(local.flags & assemble_rhs_boundary) { - local_rhs =0; - local.assemble_rhs_boundary_term(cell, face_no, local_rhs); - hang.distribute_local_to_global(local_rhs, dofs, rhs); - } - } // End of Boundary terms - else if(local.flags & assemble_face) { - typename MGDoFHandler::cell_iterator neighbor= - cell->neighbor(face_no);; - - if (face->has_children()) // The neighbor is more refined - { - const unsigned int n_face_no= - cell->neighbor_of_neighbor(face_no); - - - for (unsigned int subface_no=0; - subface_non_children(); ++subface_no) - { - typename MGDoFHandler::active_cell_iterator - neighbor_child - = cell->neighbor_child_on_subface (face_no, subface_no); - - Assert (neighbor_child->face(n_face_no) == face->child(subface_no), - ExcInternalError()); - Assert (!neighbor_child->has_children(), ExcInternalError()); - - cell_m = 0; - cell_neighbor_m = 0; - local.assemble_face_term(cell, face_no, subface_no, - neighbor_child, n_face_no, - cell_m, cell_neighbor_m); - if(level<0) - neighbor_child->get_dof_indices (neighbor_dofs); - else - neighbor_child->get_mg_dof_indices (neighbor_dofs); - - hang.distribute_local_to_global(cell_m, dofs, m); - // TBA Distribute neighbors!!! - // hang.distribute_local_to_global(cell_m, neighbor_dofs, dofs, m); - // - - - } - } // face has children - else - { - if (neighbor->level() == cell->level()) - { - const unsigned int n_face_no=cell->neighbor_of_neighbor(face_no); - - cell_neighbor_m = 0; - cell_m = 0; - local.assemble_face_term(cell, face_no, - neighbor, n_face_no, - cell_m, - cell_neighbor_m); - - if(level<0) - neighbor->get_dof_indices (neighbor_dofs); - else - neighbor->get_mg_dof_indices (neighbor_dofs); - - hang.distribute_local_to_global(cell_m, dofs, m); - // TBA: distribute neighbor dofs.... - // hang.distribute_local_to_global(cell_m, neighbor_dofs, dofs, m); - // - - } // Same level on the two neighbors - else - { - Assert(neighbor->level() < cell->level(), ExcInternalError()); - - const std::pair faceno_subfaceno= - cell->neighbor_of_coarser_neighbor(face_no); - const unsigned int neighbor_face_no=faceno_subfaceno.first, - neighbor_subface_no=faceno_subfaceno.second; - - Assert (neighbor->neighbor_child_on_subface (neighbor_face_no, - neighbor_subface_no) - == cell, - ExcInternalError()); - - cell_neighbor_m = 0; - cell_m = 0; - local.assemble_face_term(cell, face_no, - neighbor, neighbor_face_no, - neighbor_subface_no, - cell_m, cell_neighbor_m); - - if(level<0) - neighbor->get_dof_indices (neighbor_dofs); - else - neighbor->get_mg_dof_indices (neighbor_dofs); - - hang.distribute_local_to_global(cell_m, dofs, m); - // TBA Distribute neighbor dofs - // hang.distribute_local_to_global(cell_m, neighbor_dofs, dofs, m); - // - - } // The neighbor is coarser - } // else : if face has children - } // skipped if no flags for face terms - } // faces loop - - } // Skipped if no flags on either faces or boundary - -#else - //1D face terms -#endif - } // cells loop - } - - - /** MG assembly routine for rhs vectors. Hanging node - * constraints are taken into account. However face terms are NOT - * correctly handled, that is, this method is currently not - * capable of handling fluxex. - - Different levels can be assembled. If the level is -1, then the - active level is used. - */ - template - void assemble_rhs(MGDoFHandler &mg_dof_handler, ConstraintMatrix &hang, - int level, VECTOR& rhs, LocalAssembleBase > &local, - const unsigned int this_mpi_process = 0) - { - // Cell iterators. - typename MGDoFHandler::active_cell_iterator cell, endc; - if(level < 0) { - cell = mg_dof_handler.begin_active(); - endc = mg_dof_handler.end(); - } else { - cell = mg_dof_handler.begin_active(level); - endc = mg_dof_handler.end(level); - } - - unsigned int dofs_per_cell = - mg_dof_handler.get_fe().dofs_per_cell; - - // dofs and neighbor dofs. - vector dofs(dofs_per_cell); - - Vector cell_rhs(dofs_per_cell); - - for (; cell!=endc; ++cell) - if( cell->subdomain_id() == this_mpi_process ) - { - // Update indices - if(level<0) - cell->get_dof_indices(dofs); - else - cell->get_mg_dof_indices (dofs); - - // Assemble cell term if needed - if( local.flags & assemble_rhs_cell ) { - // Reset the cell term - cell_rhs = 0; - local.assemble_rhs_term(cell, cell_rhs); - // Distribute the local rhs to the global matrix. - hang.distribute_local_to_global(cell_rhs, dofs, rhs); - } - - // Assemble boundary or face terms if needed - if( local.flags & (assemble_rhs_boundary/* |assemble_rhs_face */) ) - for (unsigned int face_no=0; - face_no::faces_per_cell; ++face_no) - { - typename MGDoFHandler::face_iterator face=cell->face(face_no); - if (face->at_boundary()) - { - cell_rhs = 0; - local.assemble_rhs_boundary_term(cell, face_no, cell_rhs); - // Distribute the local rhs to the global matrix. - hang.distribute_local_to_global(cell_rhs, dofs, rhs); - } - } // face loop - } // Cell loop - } - - /** DG-Like assembly routine for matrices and vectors. Hanging - * node constraints are not taken into account, and one should do - * this outside. However face terms are correctly handled, and - * this method is capable of assemblying fully DG objects. */ - template - void assemble(DH &dof_handler, MATRIX& system_matrix, VEC& system_rhs, - LocalAssembleBase &local, - const unsigned int this_mpi_process = 0) - { - const unsigned int dofs_per_cell = dof_handler.get_fe().dofs_per_cell; - std::vector dofs (dofs_per_cell); - std::vector dofs_neighbor (dofs_per_cell); - - // Now we create the cell matrices and vectors. Here we need two - // cell matrices, both for face terms that include test functions - // vi (internal shape functions, i.e. shape functions - // of the current cell). - // - // i stands for internal, e stands for external - FullMatrix ui_vi_matrix (dofs_per_cell, dofs_per_cell); - FullMatrix ui_ve_matrix (dofs_per_cell, dofs_per_cell); - Vector local_rhs(dofs_per_cell); - - // Furthermore we need some cell iterators. - typename DH::active_cell_iterator - cell = dof_handler.begin_active(), - endc = dof_handler.end(); - - // Now we start the loop over all - // active cells. - for (;cell!=endc; ++cell) - if( cell->subdomain_id() == this_mpi_process ) - { - // On each cell we need to reset the ui_vi_matrix - // and cell_vector to zero, before assembling the - // cell terms. - ui_vi_matrix = 0; - local_rhs = 0; - - // and call the function that assembles the cell terms. The - // first argument is the FEValues that was - // previously reinit'ed on the current cell. - if( local.flags & assemble_cell ) - local.assemble_cell_term(cell, ui_vi_matrix); - - if( local.flags & assemble_rhs_cell ) - local.assemble_rhs_term(cell, local_rhs); - - // As in previous examples the vector `dofs' includes the - // dof_indices. - cell->get_dof_indices (dofs); - - // This is the start of the nested loop over all faces. - if( local.flags & (assemble_boundary|assemble_face) ) { - for (unsigned int face_no=0; face_no::faces_per_cell; ++face_no) - { - // First we set the face iterator - typename DH::face_iterator face=cell->face(face_no); - - // and clear the ui_ve_matrix on each face. - ui_ve_matrix = 0; - - // Now we distinguish the four different cases in the - // ordering mentioned above. We start with faces belonging - // to the boundary of the domain. - if (face->at_boundary()) - { - // and assemble the corresponding face terms. - if(local.flags & assemble_boundary) - local.assemble_boundary_term(cell, face_no, - ui_vi_matrix); - if(local.flags & assemble_rhs_boundary) - local.assemble_rhs_boundary_term(cell, face_no, - local_rhs); - } - else if(local.flags & assemble_face) - { - // Now we are not on the boundary of the domain, - // therefore there must exist a neighboring cell. - typename DH::cell_iterator neighbor= - cell->neighbor(face_no); - - // We proceed with the second and most complicated case: - // the neighboring cell is more refined than the current - // cell. As in deal.II neighboring cells are restricted - // to have a level difference of not more than one, the - // neighboring cell is known to be at most ONCE more - // refined than the current cell. Furthermore also the - // face is more refined, i.e. it has children. Here we - // note that the following part of code will not work - // for dim==1. - if (face->has_children()) - { - // First we store which number the current cell has - // in the list of neighbors of the neighboring - // cell. Hence, - // neighbor-@>neighbor(neighbor_face_no) equals the - // current cell cell. - const unsigned int neighbor_face_no= - cell->neighbor_of_neighbor(face_no); - - - // We loop over subfaces - for (unsigned int subface_no=0; - subface_non_children(); ++subface_no) - { - // and set the cell iterator - // neighbor_child to the cell - // placed `behind' the current subface. - typename DH::active_cell_iterator - neighbor_child - = cell->neighbor_child_on_subface (face_no, subface_no); - - // As these are quite complicated indirections - // which one does not usually get right at first - // attempt we check for the internal - // consistency. - Assert (neighbor_child->face(neighbor_face_no) == face->child(subface_no), - ExcInternalError()); - Assert (!neighbor_child->has_children(), ExcInternalError()); - - // We need to reset the - // ui_ve_matrix on each subface - // because on each subface the un - // belong to different neighboring cells. - ui_ve_matrix = 0; - - // As already mentioned above for the current - // case (case 2) we employ the - // FESubfaceValues of the current - // cell (here reinited for the current cell, - // face and subface) and we employ the - // FEFaceValues of the neighboring child cell. - local.assemble_face_term(cell, face_no, subface_no, - neighbor_child, neighbor_face_no, - ui_vi_matrix, - ui_ve_matrix); - - // Then we get the dof indices of the - // neighbor_child cell - neighbor_child->get_dof_indices (dofs_neighbor); - - // and distribute ui_ve_matrix to - // the system_matrix - for (unsigned int i=0; iif (face-@>has_children()) - } - else - { - // We proceed with case 3, i.e. neighboring cell is - // of the same refinement level as the current cell. - if (neighbor->level() == cell->level()) - { - // Like before we store which number the current - // cell has in the list of neighbors of the - // neighboring cell. - const unsigned int neighbor_face_no=cell->neighbor_of_neighbor(face_no); - - local.assemble_face_term(cell, face_no, - neighbor, neighbor_face_no, - ui_vi_matrix, - ui_ve_matrix); - // End of if (neighbor-@>level() == - // cell-@>level()) - } - else - { - // Finally we consider case 4. When the - // neighboring cell is not finer and not of the - // same refinement level as the current cell it - // must be coarser. - Assert(neighbor->level() < cell->level(), ExcInternalError()); - - // Find out the how many'th face_no and - // subface_no the current face is w.r.t. the - // neighboring cell. - const std::pair faceno_subfaceno= - cell->neighbor_of_coarser_neighbor(face_no); - const unsigned int neighbor_face_no=faceno_subfaceno.first, - neighbor_subface_no=faceno_subfaceno.second; - - Assert (neighbor->neighbor_child_on_subface (neighbor_face_no, - neighbor_subface_no) - == cell, - ExcInternalError()); - - local.assemble_face_term(cell, face_no, - neighbor, - neighbor_face_no, - neighbor_subface_no, - ui_vi_matrix, - ui_ve_matrix); - } - - // Now we get the dof indices of the - // neighbor cell, - neighbor->get_dof_indices (dofs_neighbor); - - // and distribute the - // ui_ve_matrix. - for (unsigned int i=0; iface not at boundary: - } - // End of loop over all faces: - } - } - - // Finally we distribute the - // ui_vi_matrix - for (unsigned int i=0; i - void assemble_rhs(DH &dof_handler, VEC& system_rhs, - LocalAssembleBase &local, - const unsigned int this_mpi_process = 0) - { - const unsigned int dofs_per_cell = dof_handler.get_fe().dofs_per_cell; - std::vector dofs (dofs_per_cell); - - Vector local_rhs(dofs_per_cell); - - // Furthermore we need some cell iterators. - typename DH::active_cell_iterator - cell = dof_handler.begin_active(), - endc = dof_handler.end(); - - // Now we start the loop over all - // active cells. - for (;cell!=endc; ++cell) - if( cell->subdomain_id() == this_mpi_process ) - { - // On each cell we need to reset the ui_vi_matrix - // and cell_vector to zero, before assembling the - // cell terms. - local_rhs = 0; - - // and call the function that assembles the cell terms. The - // first argument is the FEValues that was - // previously reinit'ed on the current cell. - if( local.flags & assemble_rhs_cell ) - local.assemble_rhs_term(cell, local_rhs); - - // As in previous examples the vector `dofs' includes the - // dof_indices. - cell->get_dof_indices (dofs); - - // This is the start of the nested loop over all faces. - if( local.flags & assemble_rhs_boundary ) { - for (unsigned int face_no=0; face_no::faces_per_cell; ++face_no) - { - // First we set the face iterator - typename DH::face_iterator face=cell->face(face_no); - - // Now we distinguish the four different cases in the - // ordering mentioned above. We start with faces belonging - // to the boundary of the domain. - if (face->at_boundary()) - { - if(local.flags) - local.assemble_rhs_boundary_term(cell, face_no, - local_rhs); - } - } - } - - // Finally we distribute the - // rhs - for (unsigned int i=0; i - -#include -#include -#include - -#include -#include -#include - -// #include -#include -#include -#include - -#include -#include -#include - -#include - -#include "vector_space.h" -#include - -template > -class FilteredDataOut : public DataOut -{ -public: - FilteredDataOut (const unsigned int subdomain_id) - : - subdomain_id (subdomain_id) - {} - - virtual typename DH::cell_iterator - first_cell () - { - typename DH::active_cell_iterator - cell = this->dofs->begin_active(); - while ((cell != this->dofs->end()) && - (cell->subdomain_id() != subdomain_id)) - ++cell; - - return cell; - } - - virtual typename DH::cell_iterator - next_cell (const typename DH::cell_iterator &old_cell) - { - if (old_cell != this->dofs->end()) - { - const IteratorFilters::SubdomainEqualTo - predicate(subdomain_id); - - return - ++(FilteredIterator - - (predicate,old_cell)); - } - else - return old_cell; - } - -private: - const unsigned int subdomain_id; -}; - - - -template > -class OutputProcessor : public Subscriptor -{ -public: - /** The constructor takes the mpi initialization stuff. */ - OutputProcessor (const unsigned int n_mpi_processes = 1, - const unsigned int this_mpi_process = 0); - - /** Initialize the given values for the paramter file. */ - static void declare_parameters(ParameterHandler &prm); - - /** Parse the given parameter handler. */ - void parse_parameters(ParameterHandler &prm); - - /** Calculate the error of the numeric solution in variuous norms. Store - the result in the given table. */ - void error_from_exact(const VectorSpace & vspace, - const VECTOR &solution, - const Function &exact, - unsigned int table_no = 0, - double dt=0.); - - /** Difference between two solutions in two different vector spaces. */ - void difference(const VectorSpace &, const VECTOR &, - const VectorSpace &, const VECTOR &, - unsigned int table_no = 0, double dt=0.); - - /** Difference between two solutions in the same vector space. */ - void difference(const VectorSpace &, const VECTOR &, - const VECTOR &, unsigned int table_no = 0, double dt=0.); - - /** Output solution. Using some standard format. This is now deprecated. */ - void output_solution(const VectorSpace &, const VECTOR &, const std::string &); - - /** Prepare to output data on the given file. This will initialize - the data_out object and a file with a filename that is the - combination of the @p filename, eventually a - processor number and the output suffix. */ - void prepare_data_output(const DoFHandler &dh, const std::string &filename); - - /** Add the given vector to the output file. Prior to calling this - method, you have to call the prepare_data_output method. The - string can be a comma separated list of components, or a single - description. In this latter case, a progressive number per - component is added in the end. */ - void add_data_vector(const VECTOR &data_vector, const std::string &desc); - - /** Actually write the file. Once the data_out has been prepared, - vectors have been added, the data can be written to a file. This - is done in this class. At the end of this function call, - data_out and output_file are in a pristine situation, and the - process can be started again.*/ - void write_data_and_clear(); - - /** Dump vector. Just dump the vector to a file. This is useful to - read back in the future and restart from where we left off.*/ - void dump_vector(const VECTOR &, const std::string &); - - /** By default output first table. */ - void output_table(const unsigned int table_no=0); - -private: - /** Error results.*/ - std::vector tables; - - /** Headers for tables and output. Contains the name of the solution - components. */ - std::vector headers; - - /** Headers for latex tables. Contains the name of the solution - components. */ - std::vector latex_headers; - - /** Captions for latex. */ - std::vector latex_captions; - - /** Names of the tables. */ - std::vector names; - - /** The parameters have been read. */ - bool initialized; - - /** Write the solution. */ - bool write_solution; - - /** Solution format. */ - std::string solution_format; - - /** Output the partitioning of the domain. */ - bool output_partitioning; - - /** Number of MPI processes. */ - const unsigned int n_mpi_processes; - - /** Id of MPI process. */ - const unsigned int this_mpi_process; - - /** Output file. */ - std::ofstream output_file; - - /** Outputs only the data that refers to this process. */ - FilteredDataOut > data_out; -}; - -#endif diff --git a/deal.II/examples/step-41/include/output_processor.templates.h b/deal.II/examples/step-41/include/output_processor.templates.h deleted file mode 100644 index daabff1d70..0000000000 --- a/deal.II/examples/step-41/include/output_processor.templates.h +++ /dev/null @@ -1,135 +0,0 @@ -#include "../include/output_processor.h" - -#include -#include -#include - -#include - -#include -#include -#include -#include -#include - -template -OutputProcessor::OutputProcessor (const unsigned int n_mpi, - const unsigned int this_mpi) : - n_mpi_processes(n_mpi), - this_mpi_process(this_mpi), - data_out(this_mpi) -{ - initialized = false; -} - -template -void OutputProcessor::declare_parameters (ParameterHandler &prm) -{ - prm.declare_entry ("Solution names", "u", Patterns::Anything(), - "This is used to output the solution to a file."); - - prm.declare_entry ("Output partitioning", "false", Patterns::Bool()); - - prm.enter_subsection("Solution Out Format"); - DataOut::declare_parameters(prm); - prm.set("Output format", "vtk"); - prm.leave_subsection(); -} -template -void OutputProcessor::parse_parameters (ParameterHandler &prm) -{ - output_partitioning = prm.get_bool ("Output partitioning"); - - headers = Utilities::split_string_list(prm.get ("Solution names")); - - prm.enter_subsection("Solution Out Format"); - data_out.parse_parameters(prm); - prm.leave_subsection(); - - initialized = true; -} - - -template -void OutputProcessor::prepare_data_output(const DoFHandler &dh, - const std::string &filename) { - AssertThrow(initialized, ExcNotInitialized()); - if(data_out.default_suffix() != "") { - - // If the output is needed and we have many processes, just output - // the one we need *in intermediate format*. - std::string fname = filename; - if(n_mpi_processes > 1) { - fname += ("_" + Utilities::int_to_string(this_mpi_process, 2) + - data_out.default_suffix(DataOutBase::deal_II_intermediate)) ; - } else { - fname += data_out.default_suffix(); - } - - deallog << "Will write on file: " << fname.c_str() << std::endl; - output_file.open(fname.c_str()); - AssertThrow(output_file, ExcIO()); - data_out.attach_dof_handler (dh); - - if(n_mpi_processes > 1) { - // Output the partitioning - if(output_partitioning) { - std::vector partition_int (dh.get_tria().n_active_cells()); - GridTools::get_subdomain_association (dh.get_tria(), partition_int); - Vector partitioning(partition_int.begin(), - partition_int.end()); - static Vector static_partitioning; - static_partitioning.swap(partitioning); - data_out.add_data_vector (static_partitioning, "partitioning"); - } - } - } -} - - -template -void OutputProcessor::add_data_vector(const VECTOR &data_vector, - const std::string &desc) -{ - AssertThrow(initialized, ExcNotInitialized()); - deallog.push("AddingData"); - std::vector dd = Utilities::split_string_list(desc); - if(data_out.default_suffix() != "") { - if (dd.size() ==1 ) - data_out.add_data_vector (data_vector, desc); - else - data_out.add_data_vector (data_vector, dd); - deallog << "Added data: " << desc << std::endl; - } - deallog.pop(); -} - - -template -void OutputProcessor::write_data_and_clear() { - AssertThrow(initialized, ExcNotInitialized()); - AssertThrow(output_file, ExcIO()); - deallog.push("WritingData"); - if(data_out.default_suffix() != "") { - data_out.build_patches(); - - if(n_mpi_processes > 1) { - data_out.write_deal_II_intermediate(output_file); - } else { - data_out.write(output_file); - } - deallog << "Wrote output file." << std::endl; - data_out.clear(); - output_file.close(); - deallog << "Reset output." << std::endl; - } - deallog.pop(); -} - -template -void OutputProcessor::dump_vector (const VECTOR &, - const std::string & ) -{ - Assert(false, ExcNotImplemented()); - // Only specializations exist. -} diff --git a/deal.II/examples/step-41/include/parsed_symmetric_tensor_function.h b/deal.II/examples/step-41/include/parsed_symmetric_tensor_function.h deleted file mode 100644 index 6a93c0bd7e..0000000000 --- a/deal.II/examples/step-41/include/parsed_symmetric_tensor_function.h +++ /dev/null @@ -1,193 +0,0 @@ -/* - * Immersed Boundary Problem: - * - * Header Files - * - * Author: - * Luca Heltai - * ============= - * License: GPL. - * ============= - * $Id: ibm_rhs.h,v 1.15 2005/04/05 14:46:49 luca Exp $ - * - */ -#ifndef PARSED_SYMMETRIC_TENSOR_FUNCTION_H -#define PARSED_SYMMETRIC_TENSOR_FUNCTION_H - -#include -#include -#include -#include -#include -#include - -#include - -using namespace dealii; - -template -class ParsedSymmetricTensorFunction -{ - public: - /** Constructor. It initializes the function parser.*/ - ParsedSymmetricTensorFunction(); - - /** Declare parameters needed by this class. */ - static void declare_parameters(ParameterHandler &prm); - - /** Parse parameters needed by this class. */ - void parse_parameters(ParameterHandler &prm); - - /** Get ONE value at the given point. Evaluate the parsed function - at the given point and return the symmetric tensor. */ - const SymmetricTensor & operator() (const Point &p) const; - - /** Get a vector of the values at a number of specified points */ - void value_list(const std::vector< Point > &points, - std::vector< SymmetricTensor > &values); - - /** Get the tensor currently stored. */ - inline const SymmetricTensor & operator() () const { - return t; - }; - - /** Get the size of the equivalent triangular matrix. If rank = 2, - this number is equal to dim, otherwise it is equal to dim*(dim+1)/2. */ - static unsigned int get_dim_triangular(); - - /** Set internal time of the function. */ - void set_time(double); - private: - FunctionParser f; - mutable SymmetricTensor t; -}; - - -template -inline -Tensor<2,dim> operator*(const SymmetricTensor<4,dim> & C, - const Tensor<2,dim> &gradv) { - Tensor<2,dim> T; - for(unsigned int i=0; i -inline -double operator*(const Tensor<2,dim> &gradv, - const SymmetricTensor<2,dim> & C) { - double T = 0; - for(unsigned int i=0; i -inline -double double_contract(const SymmetricTensor<2,dim> & C, - const Tensor<2,dim> &gradv) { - double T = 0; - for(unsigned int i=0; i -inline -Tensor<1,dim> operator*(const SymmetricTensor<2,dim> & C, - const Tensor<1,dim> &gradt) { - Tensor<1,dim> T; - for(unsigned int j=0; j */ -/* inline */ -/* double double_contract(const Tensor<2,dim> &gradv, */ -/* const Tensor<2,dim> & C) { */ -/* double T = 0; */ -/* for(unsigned int i=0; i */ -/* inline */ -/* Tensor<2,dim> operator*(const SymmetricTensor<4,dim> & C, */ -/* const Tensor<2,dim> &gradv) { */ -/* Tensor<2,dim> T; */ -/* for(unsigned int i=0; i */ -/* inline */ -/* double operator*(const Tensor<2,dim> &gradv, */ -/* const SymmetricTensor<2,dim> & C) { */ -/* double T = 0; */ -/* for(unsigned int i=0; i */ -/* inline */ -/* double double_contract(const SymmetricTensor<2,dim> & C, */ -/* const Tensor<2,dim> &gradv) { */ -/* double T = 0; */ -/* for(unsigned int i=0; i */ -/* inline */ -/* Tensor<1,dim> operator*(const SymmetricTensor<2,dim> & C, */ -/* const Tensor<1,dim> &gradt) { */ -/* Tensor<1,dim> T; */ -/* for(unsigned int j=0; j -inline -double double_contract(const Tensor<2,dim> &gradv, - const Tensor<2,dim> & C) { - double T = 0; - for(unsigned int i=0; i - * ============= - * License: GPL. - * ============= - * $Id: ibm_rhs.cc,v 1.34 2005/04/05 14:46:49 luca Exp $ - * - */ -#include "../include/parsed_symmetric_tensor_function.h" -#include - -template - void ParsedSymmetricTensorFunction::value_list(const std::vector< Point > &points, - std::vector< SymmetricTensor > &values) -{ - - for (unsigned int n=0; noperator()(points[n]); - -} - -template - unsigned int ParsedSymmetricTensorFunction::get_dim_triangular() -{ - if (rank == 2) - return dim; - else if (rank == 4) - return (dim*(dim+1)/2); - else { - AssertThrow(false, ExcInternalError()); - return 0; - } -} - - -template -void ParsedSymmetricTensorFunction::set_time (double t) { - f.set_time(t); -} - - -template -ParsedSymmetricTensorFunction::ParsedSymmetricTensorFunction () : - // Number of vector functions. - f(get_dim_triangular()*(get_dim_triangular()+1)/2) -{ - Assert(rank == 2 || rank == 4, - ExcMessage("Rank has to be even, either 2 or 4.")); -} - -template -void ParsedSymmetricTensorFunction::declare_parameters(ParameterHandler &prm) -{ - std::string vnames; - switch (dim) { - case 1: - vnames = "x,t"; - break; - case 2: - vnames = "x,y,t"; - break; - case 3: - vnames = "x,y,z,t"; - break; - default: - AssertThrow(false, ExcNotImplemented()); - break; - } - prm.declare_entry("Variable names", vnames, Patterns::Anything(), - "The name of the variables as they will be used in the function, separated by ','."); - // The expressions of the function - std::vector expr(get_dim_triangular()); - for(unsigned int i=0; i - void ParsedSymmetricTensorFunction::parse_parameters(ParameterHandler &prm) -{ - std::string vnames = prm.get("Variable names"); - std::string expr; - for(unsigned int i=0; i < get_dim_triangular(); ++i) { - char tmp[100]; - sprintf(tmp, "Row %d", i+1); - expr += prm.get(tmp); - if(i+1 < get_dim_triangular()) - expr += "; "; - } - std::string constants_list = prm.get("Function constants"); - - std::vector const_list = - Utilities::split_string_list(constants_list, ','); - std::map constants; - for(unsigned int i = 0; i < const_list.size(); ++i) { - std::vector this_c = - Utilities::split_string_list(const_list[i], '='); - AssertThrow(this_c.size() == 2, ExcMessage("Invalid format")); - double tmp; - AssertThrow( sscanf(this_c[1].c_str(), "%lf", &tmp), ExcMessage("Double number?")); - constants[this_c[0]] = tmp; - } - - constants["pi"] = M_PI; - constants["Pi"] = M_PI; - - unsigned int nn = (Utilities::split_string_list(vnames)).size(); - switch (nn) { - case dim: - // Time independent function - f.initialize(vnames, expr, constants); - break; - case dim+1: - // Time dependent function - f.initialize(vnames, expr, constants, true); - break; - default: - AssertThrow(false, ExcMessage("Not the correct size. Check your code.")); - } -} diff --git a/deal.II/examples/step-41/include/utilities.h b/deal.II/examples/step-41/include/utilities.h deleted file mode 100644 index e1cdf835fd..0000000000 --- a/deal.II/examples/step-41/include/utilities.h +++ /dev/null @@ -1,62 +0,0 @@ -#ifndef UTILITIES_HLT -#define UTILITIES_HLT - -#include -#include -#include -#include -#include -#include -#include - -using namespace dealii; - -template -class InverseMatrix : public Subscriptor -{ - public: - InverseMatrix (const Matrix &m); - - void vmult (Vector &dst, - const Vector &src) const; - - void Tvmult (Vector &dst, - const Vector &src) const; - - private: - const SmartPointer matrix; - - mutable GrowingVectorMemory<> vector_memory; -}; - - -class BBt : public Subscriptor -{ - public: - void reinit (const BlockSparseMatrix &A); - - - void vmult (Vector &dst, - const Vector &src) const; - - void Tvmult (Vector &dst, - const Vector &src) const; - - private: - SmartPointer > system_matrix; - - mutable BlockVector u, v; - - unsigned int dim; -}; - -template -void smart_delete (SmartPointer &sp) { - if(sp) { - TYPE * p = sp; - sp = 0; - delete p; - } -} - -#endif diff --git a/deal.II/examples/step-41/include/vector_space.h b/deal.II/examples/step-41/include/vector_space.h deleted file mode 100644 index 1d200f7abd..0000000000 --- a/deal.II/examples/step-41/include/vector_space.h +++ /dev/null @@ -1,325 +0,0 @@ -#ifndef VECTOR_SPACE_H -#define VECTOR_SPACE_H - -#include -#include -#include -#include -#include -#include -#include -#include - -using namespace dealii; - -/** - VectorSpace object. Anything related to the definition of the - Hilbert space that makes up the pde problem lives in this class. -*/ -template -class VectorSpace : public Subscriptor -{ - public: - - /** Empty constructor. */ - VectorSpace (); - /** Full constructor. It initializes this object by reading a - parameter file and setting pointers to the given - triangulation. */ - VectorSpace (ParameterHandler &prm, - Triangulation &dd, - const unsigned int n_mpi_processes=1, - const unsigned int this_mpi_process=0); - - /** Destructor. Clears the created pointers. */ - ~VectorSpace (); - - /** Reinit. The state of this object after calling reinit, is - the same as after the full constructor is used.*/ - void reinit(ParameterHandler &prm, - Triangulation &dd, - const unsigned int n_mpi_processes=1, - const unsigned int this_mpi_process=0, - const std::string space_name="Vector Space Parameters"); - - /** Reset the internal status of the current triangulation, leaving - untouched all the rest. The status of this object is as if the - current triangulation and dof handler had just been - constructed. Nothing is done to the saved triangulation, nor to - the saved dofhandler. */ - void reinit(); - - /** Parse the parameter file. */ - void parse_parameters(ParameterHandler &prm, const std::string space_name); - - /** Generate entries in the given parameter file. */ - static void declare_parameters(ParameterHandler &prm, const std::string space_name="Vector Space Parameters"); - - /** Initialize the mesh. */ - void initialize_mesh(); - - /** Refine the mesh globally. */ - void refine_globally(); - - /** Flag the mesh according to the given error estimator and to the - refinement strategy defined in the paratmeters. */ - void flag_for_refinement(Vector &error); - - /** Save current vector space. */ - void save_step(); - - /** Save current vector space, and reset triangulation to be pristine. */ - void save_step_and_reinit(); - - /** Transfer solution from old to new grid. */ - template - void transfer(VECTOR &dst, const VECTOR &src); - - /** Reorder the degrees of freedom according to the - parameters. This is done for the level specified on the - argument. If level is -1, then the active dofs are reordered. */ - void reorder(int level = -1, - std::vector target_comps=std::vector()); - - /** Redistribute degrees of freedom. The optional arguments groups - together the components. It is useful for vector valued finite elements, when one wants to sort together*/ - void redistribute_dofs(std::vector - target_components=std::vector()); - - /** Compute maximum and minimum diameter of the mesh cells. */ - void measure_mesh(); - - /** Interpolate Boundary Conditions. Generates the boundary - conditions for the problem. This will be used after the assembly - procedures. */ - void interpolate_dirichlet_bc(const Function & f, - std::map & bvalues); - - /** Return reference to finite element.*/ - inline FiniteElement & get_fe() { - return *fe; - } - - /** Return reference to current dof handler.*/ - inline MGDoFHandler & get_dh() { - return *dh; - } - - /** Return reference to previous dof handler.*/ - inline MGDoFHandler & get_last_dh() { - return *last_dh; - } - - /** Return reference to current triangulation..*/ - inline Triangulation & get_tria() { - return *tria; - } - - /** Return reference to current triangulation..*/ - inline Triangulation & get_last_tria() { - return *last_tria; - } - - /** Return reference to coarse triangulation..*/ - inline Triangulation & get_coarse_tria() { - return *coarse; - } - - /** Return reference to hanging node constraints..*/ - inline ConstraintMatrix & get_hang() { - return hang; - } - - /** Return reference to mapping.*/ - inline Mapping & get_mapping() { - return *mapping; - } - - - /** Return constant reference to finite element.*/ - inline const FiniteElement & get_fe() const { - return *fe; - } - - /** Return constant reference to current dof handler.*/ - inline const MGDoFHandler & get_dh() const { - return *dh; - } - - /** Return constant reference to previous dof handler.*/ - inline const MGDoFHandler & get_last_dh() const { - return *last_dh; - } - - /** Return reference to current triangulation..*/ - inline const Triangulation & get_tria() const { - return *tria; - } - - /** Return reference to coarse triangulation..*/ - inline const Triangulation & get_coarse_tria() const { - return *coarse; - } - - /** Return reference to current triangulation..*/ - inline const Triangulation & get_last_tria() const { - return *last_tria; - } - - /** Return reference to hanging node constraints..*/ - inline const ConstraintMatrix & get_hang() const { - return hang; - } - - /** Return reference to mapping.*/ - inline const Mapping & get_mapping() const { - return *mapping; - } - - /** Number of dofs. */ - inline unsigned int n_dofs() { - return dh->n_dofs(); - } - - /** Number of dofs per process. */ - inline const std::vector & n_dofs_pp() const { - return local_dofs_per_process; - } - - /** Number of dofs per block. */ - inline const std::vector & n_dofs_pb() const { - return dofs_per_block; - } - - /** Number of dofs in this process. */ - inline unsigned int n_ldofs() const { - return n_local_dofs; - } - - /** Number of dofs per block per process. */ - inline const std::vector > & n_dofs_pb_pp() const { - return dofs_per_block_per_process; - } - - /** Number of dofs per process per block. */ - inline const std::vector > & n_dofs_pp_pb() const { - return dofs_per_process_per_block; - } - - /** Number of blocks. */ - inline unsigned int n_blocks() const { - return number_of_blocks; - } - /** Bool that checks if local refiment is enabled.*/ - bool enable_local_refinement; - - /** Initial global refinement. */ - unsigned int global_refinement; - - /** The size of this mesh. */ - double h_max; - - /** The size of this mesh. */ - double h_min; - - /** Dirichlet Boundary Indicators. */ - std::map > dirichlet_bc; - - /** Neumann Boundary Indicators. */ - std::map > neumann_bc; - - /** Other Boundary Indicators. */ - std::map > other_bc; -private: - - /** For internal use. Counts the dofs per block, block and what not. */ - void count_dofs(std::vector target_components); - - std::string fe_name; - std::vector ordering; - unsigned int map_type; - - std::vector d_bc; - std::vector n_bc; - std::vector o_bc; - - /** Pointer to the finite element used. */ - SmartPointer > fe; - - /** Pointer to the dofhandler used */ - SmartPointer > dh; - - /** Pointer to the last dofhandler used */ - SmartPointer > last_dh; - - /** Pointer to a pristine coarse triangulation. */ - SmartPointer > coarse; - - /** Pointer to the current triangulation used */ - SmartPointer > tria; - - /** Pointer to the previous triangulation used. */ - SmartPointer > last_tria; - - /** Finite Element Mapping. Various mappings are supported. If the - mapping parameter is 0, then cartesian mapping is used. Else Qn, with - n the mapping parameter. */ - SmartPointer > mapping; - - /** Constraint Matrix. */ - ConstraintMatrix hang; - - public: - - /** Number of processes. */ - unsigned int n_mpi_processes; - - /** The id of this process. */ - unsigned int this_mpi_process; - - private: - - /** Local size of vectors. */ - std::vector local_dofs_per_process; - - /** Local size of vectors. */ - std::vector dofs_per_block; - - /** Local sizes of vectors divided by blocks. */ - std::vector > dofs_per_block_per_process; - - /** Local sizes of vectors divided by blocks. */ - std::vector > dofs_per_process_per_block; - - /** Number of local dofs. */ - unsigned int n_local_dofs; - - /** Number of Blocks. */ - unsigned int number_of_blocks; - - /** Number of cells. */ - unsigned int number_of_cells; - - /** Distortion coefficient. */ - double distortion; - - /** Refinement strategy. */ - std::string refinement_strategy; - - public: - - /** Bottom fraction of refinement. */ - double bottom_fraction; - - /** Top fraction of refinement. */ - double top_fraction; - - private: - - /** Maximum number of allowed cells. */ - unsigned int max_cells; - - /** The wind direction, in case we order the mesh upwind. */ - Point wind; -}; -#endif diff --git a/deal.II/examples/step-41/include/vector_space.templates.h b/deal.II/examples/step-41/include/vector_space.templates.h deleted file mode 100644 index 1a10fb3adf..0000000000 --- a/deal.II/examples/step-41/include/vector_space.templates.h +++ /dev/null @@ -1,583 +0,0 @@ -#include "../include/vector_space.h" -#include "../include/utilities.h" -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include - -using namespace std; - -template -VectorSpace::VectorSpace() : - fe(0, "Vector Space FE"), - dh(0, "Vector Space This DH"), - last_dh(0, "Vector Space Last DH"), - coarse(0, "Vector Space Coarse Grid"), - tria(0, "Vector Space This Grid"), - last_tria(0, "Vector Space Last Grid"), - mapping(0, "Vetor Space Mapping") -{} - -template -VectorSpace::VectorSpace(ParameterHandler &prm, - Triangulation &dd, - const unsigned int n_mpi, - const unsigned int this_mpi) : - fe(0, "Vector Space FE"), - dh(0, "Vector Space This DH"), - last_dh(0, "Vector Space Last DH"), - coarse(0, "Vector Space Coarse Grid"), - tria(0, "Vector Space This Grid"), - last_tria(0, "Vector Space Last Grid"), - mapping(0, "Vetor Space Mapping"), - n_mpi_processes(n_mpi), - this_mpi_process(this_mpi) -{ - reinit(prm, dd, n_mpi, this_mpi); -} - -template -VectorSpace::~VectorSpace() -{ - // Get rid of the dof handler object. - smart_delete(dh); - smart_delete(last_dh); - smart_delete(fe); - coarse = 0; - smart_delete(tria); - smart_delete(last_tria); - smart_delete(mapping); -} - -template -void VectorSpace::save_step() { - deallog.push("Save"); - // Get rid of old dh and triangulation - last_dh->clear(); - last_tria->clear(); - - deallog << "Saving triangulation and dofs..." << std::endl; - // Copy old triangulation (which is the one just used) - last_tria->copy_triangulation(*tria); - - // swap back and forth, so that we have the same dofs... - dh.swap(last_dh); - redistribute_dofs(); - dh.swap(last_dh); - deallog.pop(); -} - - -template -void VectorSpace::save_step_and_reinit() { - deallog.push("Save"); - deallog << "Swapping tria and dh with old_tria and old_dh." << std::endl; - // Swap dofhandler. - last_dh.swap(dh); - // Swap triangulation. - last_tria.swap(tria); - // Now call reinit - reinit(); - deallog.pop(); -} - - -template -void VectorSpace::refine_globally() -{ - deallog.push("GlobalRefinement"); - tria->refine_global (1); - redistribute_dofs(); - deallog.pop(); -} - -template -void VectorSpace::flag_for_refinement(Vector &error) -{ - deallog.push("Refining"); - deallog << "Strategy: " << refinement_strategy << std::endl; - if(refinement_strategy == "global") { - tria->set_all_refine_flags(); - } else if(refinement_strategy == "fixed_number") { - if(max_cells > 0) - GridRefinement::refine_and_coarsen_fixed_number(*tria, error, - top_fraction, bottom_fraction, max_cells); - else - GridRefinement::refine_and_coarsen_fixed_number(*tria, error, - top_fraction, bottom_fraction); - } else if(refinement_strategy == "fixed_fraction") { - if(max_cells > 0) - GridRefinement::refine_and_coarsen_fixed_fraction(*tria, error, - top_fraction, bottom_fraction, max_cells); - else - GridRefinement::refine_and_coarsen_fixed_fraction(*tria, error, - top_fraction, bottom_fraction); - } else if(refinement_strategy == "optimize") { - GridRefinement::refine_and_coarsen_optimize(*tria, error); - } else { - Assert(false, ExcInternalError()); - } - deallog.pop(); -} - - - -template -void VectorSpace::reorder(int level, - std::vector target_comps) { - - if(level<0) level = dh->get_tria().n_levels()-1; - - // Renumber by subdomain association only if needed - if(n_mpi_processes > 1) { - deallog << "Renumbering subdomain wise." << std::endl; - DoFRenumbering::subdomain_wise(static_cast&>(*dh)); - } - - for(unsigned int i=0; i&>(*dh)); - } else if(ordering[i] == "comp") { - deallog << "Renumbering component wise." << std::endl; - DoFRenumbering::component_wise(static_cast&>(*dh), target_comps); - } else if(ordering[i] == "upwind") { - DoFRenumbering::downstream(static_cast&>(*dh), wind); - } else if(ordering[i] == "none") {} - else { - AssertThrow(false, ExcMessage("This Reordering not implemented")); - } - } - -} - -template -void VectorSpace::measure_mesh() { - typename Triangulation::active_cell_iterator cell, endc; - endc = tria->end(); - h_max = 0; - h_min = 1000; - for(cell = tria->begin_active(); cell != endc; ++cell) { - h_max = std::max(h_max, cell->diameter()); - h_min = std::min(h_min, cell->diameter()); - } - deallog << "Max diameter of a cell: " << h_max << std::endl - << "Min diameter of a cell: " << h_min << std::endl; -} - -template -void VectorSpace::reinit(ParameterHandler &prm, - Triangulation &dd, - const unsigned int n_mpi, - const unsigned int this_mpi, - const std::string space_name) -{ - deallog.push("VECTORSPACE"); - n_mpi_processes = n_mpi; - this_mpi_process = this_mpi; - - smart_delete(dh); - smart_delete(last_dh); - smart_delete(fe); - smart_delete(mapping); - smart_delete(coarse); - smart_delete(last_tria); - - // Parse Parameters - parse_parameters(prm, space_name); - - // generate Finite element - FiniteElement * fe_p=0; - - try { - fe_p = FETools::get_fe_from_name(fe_name); - } catch (...) { - - // Did not recognize the finite element to use. Try your own - // one... - // fe_p = new FESystem(FE_BGH(2),1, FE_DGP(1), 1); - throw; - } - fe = fe_p; - deallog << "Finite Element Space: " << fe->get_name() << endl; - - if(map_type == 0) { - mapping= new MappingCartesian(); - } else { - mapping = new MappingQ(map_type); - } - - // Store a pointer to the triangulation - coarse = ⅆ - - // Now generate an empty triangulation. - last_tria = new Triangulation(); - - // And a copy of the pristine version of the triangulation. - tria = new Triangulation(); - tria->copy_triangulation(*coarse); - - // And we initialize the current triangulation. - initialize_mesh(); - - // Generate new DoFHandlers - dh = new MGDoFHandler(*tria); - last_dh = new MGDoFHandler(*last_tria); - - // Now generates the boundary maps - std::vector > bcs; - bcs.push_back(d_bc); - bcs.push_back(n_bc); - bcs.push_back(o_bc); - - std::vector > > bc_maps(3); - - for(unsigned int bcnumber=0; bcnumber<3; ++bcnumber) { - // Get some aliases for the bcs - std::vector & bc = bcs[bcnumber]; - std::map > & bc_map = bc_maps[bcnumber]; - - if(bc.size()) - for(unsigned int i=0; i < bc.size(); ++i) { - std::vector id_and_comps = - Utilities::split_string_list(bc[i], ':'); - AssertThrow(id_and_comps.size() == 2, - ExcMessage("Wrong Format for boundary indicator map.")); - std::vector ids = - Utilities::string_to_int(Utilities::split_string_list(id_and_comps[0])); - std::vector comps = - Utilities::string_to_int(Utilities::split_string_list(id_and_comps[1])); - - unsigned int n_c = fe->n_components(); - std::vector filter(n_c, false); - // Now check that the components make sense - for(unsigned int i=0; i -void VectorSpace::reinit() { - // In this case, we only get rid of the current dofhandler - // and triangulation, assuming they have already been saved. - dh->clear(); - tria->clear(); - // And we restore the initial copy of the triangulation. - tria->copy_triangulation(*coarse); -} - -template -void VectorSpace::initialize_mesh() -{ - deallog.push("InitializeMesh"); - tria->refine_global (global_refinement); - deallog << "Active Cells: " - << tria->n_active_cells() - << endl; - deallog.pop(); -} - -template -void VectorSpace::redistribute_dofs(std::vector target_components ) { - // Repartition the triangulation - if(n_mpi_processes > 1) - GridTools::partition_triangulation (n_mpi_processes, *tria); - - // Distort the mesh if necessary - if(distortion > 0.) tria->distort_random(distortion); - - // Measure it - measure_mesh(); - - // And Distribute degrees of freedom - dh->distribute_dofs(*fe); - - // Now count what you just distributed - count_dofs(target_components); - - reorder(-1, target_components); - hang.clear(); - DoFTools::make_hanging_node_constraints (*dh, hang); - hang.close(); - deallog << "Number of constrained DOFS: " << hang.n_constraints() << std::endl; -} - -template -void VectorSpace::declare_parameters(ParameterHandler &prm, const std::string space_name) -{ - - prm.enter_subsection(space_name); - - prm.declare_entry ("Finite element space", "FE_Q(1)", - Patterns::Anything(), - "The finite element space to use. For vector " - "finite elements use the notation " - "FESystem[FE_Q(2)^2-FE_DGP(1)] (e.g. Navier-Stokes). "); - - prm.declare_entry ("Mapping degree", "1", Patterns::Integer(), - "Degree of the mapping. If 0 is used, then a Cartesian mapping is assumed."); - prm.declare_entry ("Dof ordering", "cuth, comp", Patterns::Anything(), - "Ordering of the degrees of freedom: none, comp, cuth, upwind."); - prm.declare_entry ("Wind direction", ".01, .01, 1", Patterns::Anything(), - "Direction of the wind for upwind ordering of the mesh. "); - - prm.declare_entry ("Dirichlet boundary map", "1:0", Patterns::Anything(), - "Boundary indicator, followed by semicolomn and a list" - " of components to which this boundary conditions apply. " - "More boundary indicators can be separated by semicolumn. " - "1:0,1,4 ; 2,4:0,2"); - prm.declare_entry ("Neumann boundary map", "2:0", Patterns::Anything(), - "Boundary indicators, followed by semicolomn and a list of " - "components to which this boundary conditions apply. More " - "boundary indicators can be separated by semicolumn. " - "1:0,1,4 ; 2,4:0,2"); - prm.declare_entry ("Other boundary map", "3:0", Patterns::Anything(), - "Boundary indicator, followed by semicolomn and a list of " - "components to which this boundary conditions apply. More " - "boundary indicators can be separated by semicolumn. " - "1:0,1,4 ; 2,4:0,2"); - - prm.enter_subsection("Grid Parameters"); - - prm.declare_entry ("Global refinement", "4", Patterns::Integer()); - prm.declare_entry ("Distortion coefficient", "0", Patterns::Double(), - "If this number is greater than zero, the mesh is distorted" - " upon refinement in order to disrupt its structureness."); - - prm.declare_entry("Refinement strategy", - "fixed_number", Patterns::Selection("fixed_number|fixed_fraction|optimize|global"), - "fixed_number: the Top/Bottom threshold fraction of cells are flagged for " - "refinement/coarsening. " - "fixed_fraction: the cells whose error is Top/Bottom fraction of the total " - "are refined/coarsened. optmized: try to reach optimal error distribution, " - "assuming error is divided by 4 upon refining. global: refine all cells."); - prm.declare_entry("Bottom fraction", ".3", Patterns::Double()); - prm.declare_entry("Top fraction", ".3", Patterns::Double()); - prm.declare_entry("Max number of cells", "0", Patterns::Integer(), - "A number of zero means no limit. "); - prm.leave_subsection(); - - - prm.leave_subsection(); -} - - template -void VectorSpace::parse_parameters(ParameterHandler &prm, const std::string space_name) -{ - prm.enter_subsection(space_name); - - fe_name = prm.get ("Finite element space"); - map_type = prm.get_integer("Mapping degree"); - std::string all_ordering = prm.get ("Dof ordering"); - - d_bc = Utilities::split_string_list(prm.get ("Dirichlet boundary map"), ';'); - n_bc = Utilities::split_string_list(prm.get ("Neumann boundary map"), ';'); - o_bc = Utilities::split_string_list(prm.get ("Other boundary map"), ';'); - - std::vector wind_str = - Utilities::split_string_list(prm.get ("Wind direction") ); - for(unsigned int i=0; (i -void VectorSpace::interpolate_dirichlet_bc(const Function & f, - std::map & bvalues) -{ - deallog.push("DBC"); - std::map >::iterator - dmap = dirichlet_bc.begin(), - dmapend = dirichlet_bc.end(); - - unsigned int last_counted = 0; - for(; dmap!=dmapend; ++dmap) { - char id = dmap->first; - std::vector &filter = dmap->second; - - deallog << (int) id << " :"; - const unsigned int n_components = fe->n_components(); - for(unsigned int i=0; i < n_components; ++i) { - if(filter[i]) ;//deallog << i << ", "; - } - VectorTools::interpolate_boundary_values(*mapping, (const DoFHandler&) *dh, - // Dirichlet boundary only... - id, f, bvalues, filter); - deallog << " #: " << bvalues.size() - last_counted << std::endl; - last_counted = bvalues.size(); - } - deallog << "Total DBC dofs: " << bvalues.size() << std::endl; - deallog.pop(); -} - - - -template -void VectorSpace::count_dofs(std::vector target_components) { - // Count dofs per processor - local_dofs_per_process.resize(n_mpi_processes); - - // Output dofs per processor - deallog << "Number of DOFS: " << dh->n_dofs() - << ", (by partition:"; - for (unsigned int p=0; p 1 ) { - // Count dofs per blocks. - dofs_per_block.resize( number_of_blocks ); - - DoFTools::count_dofs_per_component (*dh, dofs_per_block, false, target_components); - - while(dofs_per_block.size() > number_of_blocks) { - deallog << "Old Deal.II!!!!"<< std::endl; - dofs_per_block.pop_back(); - } - - // Output the dofs per block - deallog << "Dofs by Block :"; - for (unsigned int p=0; p(n_mpi_processes, 0)); - dofs_per_process_per_block.resize(n_mpi_processes, - std::vector(number_of_blocks, 0)); - - // We now have a vector that contains all subdomain ids for each dof - std::vector subdomain_association(dh->n_dofs()); - DoFTools::get_subdomain_association (*dh, subdomain_association); - - // Now cycle on each block to find out who belongs here - for(unsigned int block = 0; block < number_of_blocks; ++block) { - - // Select dofs belonging to this block - deallog << "Block " << block << ":"; - std::vector mask(fe->n_components(), false); - for(unsigned int i=0; i this_block_dofs(dh->n_dofs()); - DoFTools::extract_dofs(*dh, mask, this_block_dofs); - - // Reset counter - for(unsigned int j=0; jn_dofs(); ++i) - if(this_block_dofs[i]) { - ++dofs_per_block_per_process[block][subdomain_association[i]]; - ++dofs_per_process_per_block[subdomain_association[i]][block]; - } - unsigned int check_pb=0; - unsigned int check_pp=0; - - // Output the dofs per block per processor - for(unsigned int j=0; jn_dofs(); - // - dofs_per_block_per_process.resize(1); - dofs_per_block_per_process[0] = local_dofs_per_process; - dofs_per_process_per_block.resize(n_mpi_processes); - for(unsigned int j=0; j(1, local_dofs_per_process[j]); - - } - - // Save the number of cells. - number_of_cells = tria->n_active_cells(); - deallog << "Number of CELLS: " << number_of_cells << endl; - - // Now save the number of local dofs... - n_local_dofs = local_dofs_per_process[this_mpi_process]; -} diff --git a/deal.II/examples/step-41/mesh/square.inp b/deal.II/examples/step-41/mesh/square.inp deleted file mode 100644 index 23f812759a..0000000000 --- a/deal.II/examples/step-41/mesh/square.inp +++ /dev/null @@ -1,16 +0,0 @@ -# This file was generated by the deal.II library. -# Date = 2006/1/6 -# Time = 18: 2:34 -# -# For a description of the UCD format see the AVS Developer's guide. -# -4 5 0 0 0 -1 0 0 0 -2 1 0 0 -3 0 1 0 -4 1 1 0 -1 0 quad 1 2 4 3 -2 1 line 1 2 -3 4 line 1 3 -4 2 line 2 4 -5 3 line 3 4 diff --git a/deal.II/examples/step-41/source/base.cc b/deal.II/examples/step-41/source/base.cc deleted file mode 100644 index 9da975a53b..0000000000 --- a/deal.II/examples/step-41/source/base.cc +++ /dev/null @@ -1,3 +0,0 @@ -#include "../include/base.templates.h" - -template class Base; diff --git a/deal.II/examples/step-41/source/camclay.cc b/deal.II/examples/step-41/source/camclay.cc deleted file mode 100644 index 506ae0cee0..0000000000 --- a/deal.II/examples/step-41/source/camclay.cc +++ /dev/null @@ -1,3 +0,0 @@ -#include "../include/camclay.templates.h" - -template class CamClay; diff --git a/deal.II/examples/step-41/source/domain.cc b/deal.II/examples/step-41/source/domain.cc deleted file mode 100644 index fa3bc745c3..0000000000 --- a/deal.II/examples/step-41/source/domain.cc +++ /dev/null @@ -1,3 +0,0 @@ -#include "../include/domain.templates.h" - -template class Domain; diff --git a/deal.II/examples/step-41/source/error_handler.cc b/deal.II/examples/step-41/source/error_handler.cc deleted file mode 100644 index f4a7e5ad58..0000000000 --- a/deal.II/examples/step-41/source/error_handler.cc +++ /dev/null @@ -1,11 +0,0 @@ -#include "../include/error_handler.templates.h" -#include -#include -#include - -template class ErrorHandler >; -template class ErrorHandler >; -#ifdef CONTRIB_USE_PETSC -template class ErrorHandler; -#endif -//template class ErrorHandler; diff --git a/deal.II/examples/step-41/source/linear_elastic.cc b/deal.II/examples/step-41/source/linear_elastic.cc deleted file mode 100644 index f90ad9b616..0000000000 --- a/deal.II/examples/step-41/source/linear_elastic.cc +++ /dev/null @@ -1,4 +0,0 @@ -#include "../include/linear_elastic.templates.h" - - -template class LinearElastic; diff --git a/deal.II/examples/step-41/source/local_assemble.cc b/deal.II/examples/step-41/source/local_assemble.cc deleted file mode 100644 index 338332869f..0000000000 --- a/deal.II/examples/step-41/source/local_assemble.cc +++ /dev/null @@ -1,6 +0,0 @@ -#include "../include/local_assemble.templates.h" -#include -#include - -template class LocalAssemble >; -template class LocalAssemble >; diff --git a/deal.II/examples/step-41/source/local_assemble_base.cc b/deal.II/examples/step-41/source/local_assemble_base.cc deleted file mode 100644 index 5ab1fc3c62..0000000000 --- a/deal.II/examples/step-41/source/local_assemble_base.cc +++ /dev/null @@ -1,5 +0,0 @@ -#include "../include/local_assemble_base.templates.h" - -template class LocalAssembleBase >; -template class LocalAssembleBase >; - diff --git a/deal.II/examples/step-41/source/local_assemble_elastic_matrix.cc b/deal.II/examples/step-41/source/local_assemble_elastic_matrix.cc deleted file mode 100644 index 1b704c5f51..0000000000 --- a/deal.II/examples/step-41/source/local_assemble_elastic_matrix.cc +++ /dev/null @@ -1,4 +0,0 @@ -#include "../include/local_assemble_elastic_matrix.templates.h" - - -template class LocalAssembleElasticMatrix; diff --git a/deal.II/examples/step-41/source/local_assemble_elastic_rhs.cc b/deal.II/examples/step-41/source/local_assemble_elastic_rhs.cc deleted file mode 100644 index 0c351d4be1..0000000000 --- a/deal.II/examples/step-41/source/local_assemble_elastic_rhs.cc +++ /dev/null @@ -1,4 +0,0 @@ -#include "../include/local_assemble_elastic_rhs.templates.h" - - -template class LocalAssembleElasticRHS; diff --git a/deal.II/examples/step-41/source/local_assemble_mass.cc b/deal.II/examples/step-41/source/local_assemble_mass.cc deleted file mode 100644 index f6d6e9f5ac..0000000000 --- a/deal.II/examples/step-41/source/local_assemble_mass.cc +++ /dev/null @@ -1,6 +0,0 @@ -#include "../include/local_assemble_mass.templates.h" -#include -#include - -template class LocalAssembleMass >; -template class LocalAssembleMass >; diff --git a/deal.II/examples/step-41/source/local_assemble_plastic_project.cc b/deal.II/examples/step-41/source/local_assemble_plastic_project.cc deleted file mode 100644 index a7600a71f9..0000000000 --- a/deal.II/examples/step-41/source/local_assemble_plastic_project.cc +++ /dev/null @@ -1,4 +0,0 @@ -#include "../include/local_assemble_plastic_project.templates.h" - - -template class LocalAssemblePlasticProject; diff --git a/deal.II/examples/step-41/source/local_assemble_scalar_project.cc b/deal.II/examples/step-41/source/local_assemble_scalar_project.cc deleted file mode 100644 index c8075e678d..0000000000 --- a/deal.II/examples/step-41/source/local_assemble_scalar_project.cc +++ /dev/null @@ -1,4 +0,0 @@ -#include "../include/local_assemble_scalar_project.templates.h" - - -template class LocalAssembleScalarProject; diff --git a/deal.II/examples/step-41/source/main.cc b/deal.II/examples/step-41/source/main.cc deleted file mode 100644 index e45e1b592f..0000000000 --- a/deal.II/examples/step-41/source/main.cc +++ /dev/null @@ -1,37 +0,0 @@ -#include -#include "../include/base.h" - -int main () -{ - try - { - Base problem; - problem.run (); - } - catch (std::exception &exc) - { - std::cerr << std::endl << std::endl - << "----------------------------------------------------" - << std::endl; - std::cerr << "Exception on processing: " << std::endl - << exc.what() << std::endl - << "Aborting!" << std::endl - << "----------------------------------------------------" - << std::endl; - - return 1; - } - catch (...) - { - std::cerr << std::endl << std::endl - << "----------------------------------------------------" - << std::endl; - std::cerr << "Unknown exception!" << std::endl - << "Aborting!" << std::endl - << "----------------------------------------------------" - << std::endl; - return 1; - } - - return 0; -} diff --git a/deal.II/examples/step-41/source/output_processor.cc b/deal.II/examples/step-41/source/output_processor.cc deleted file mode 100644 index 2b28d33a9e..0000000000 --- a/deal.II/examples/step-41/source/output_processor.cc +++ /dev/null @@ -1,26 +0,0 @@ -#include "../include/output_processor.templates.h" -#include -#include -#include - -template <> -void OutputProcessor >::dump_vector (const Vector &rhs, - const std::string &filename ) -{ - deallog.push("Dump"); - deallog << "Writing: " << filename << std::endl; - std::ofstream out ( (filename).c_str()); - rhs.block_write(out); - deallog.pop(); -} - -template class FilteredDataOut >; - -template class OutputProcessor >; -template class OutputProcessor >; - -#ifdef DEAL_II_USE_PETSC -template class OutputProcessor; -#endif - -// template class OutputProcessor; diff --git a/deal.II/examples/step-41/source/parsed_symmetric_tensor_function.cc b/deal.II/examples/step-41/source/parsed_symmetric_tensor_function.cc deleted file mode 100644 index 3c1df0507c..0000000000 --- a/deal.II/examples/step-41/source/parsed_symmetric_tensor_function.cc +++ /dev/null @@ -1,158 +0,0 @@ -/* - * Immersed Boundary Problem: - * - * Header Files - * - * Author: - * Luca Heltai - * ============= - * License: GPL. - * ============= - * $Id: ibm_rhs.cc,v 1.34 2005/04/05 14:46:49 luca Exp $ - * - */ -#include "../include/parsed_symmetric_tensor_function.templates.h" - -#if deal_II_dimension == 1 -template <> -const SymmetricTensor<2, 1> & - ParsedSymmetricTensorFunction<2, 1>::operator()(const Point<1> &p) const -{ - t[0][0] = f.value(p,0); - return t; -} - - -template <> -const SymmetricTensor<4, 1> & - ParsedSymmetricTensorFunction<4, 1>::operator()(const Point<1> &p) const -{ - t[0][0][0][0] = f.value(p, 0); - return t; -} - -#endif - -#if deal_II_dimension == 2 -template <> -const SymmetricTensor<2, 2> & - ParsedSymmetricTensorFunction<2, 2>::operator()(const Point<2> &p) const -{ - t[0][0] = f.value(p,0); - t[0][1] = f.value(p,1); - t[1][1] = f.value(p,2); - return t; -} - - -template <> -const SymmetricTensor<4, 2> & - ParsedSymmetricTensorFunction<4, 2>::operator()(const Point<2> &p) const -{ - t[0][0][0][0] = f.value(p, 0); - - t[0][0][1][1] = f.value(p, 1); - t[1][1][0][0] = f.value(p, 1); - - t[0][0][0][1] = f.value(p, 2); - t[0][1][0][0] = f.value(p, 2); - - t[1][1][1][1] = f.value(p, 3); - - t[1][1][0][1] = f.value(p, 4); - t[0][1][1][1] = f.value(p, 4); - - t[0][1][0][1] = f.value(p, 5); - t[1][0][0][1] = f.value(p, 5); - return t; -} - -#endif - -#if deal_II_dimension == 3 - -template <> -const SymmetricTensor<2, 3> & - ParsedSymmetricTensorFunction<2, 3>::operator()(const Point<3> &p) const -{ - t[0][0] = f.value(p,0); - t[0][1] = f.value(p,1); - t[0][2] = f.value(p,2); - - t[1][1] = f.value(p,3); - t[1][2] = f.value(p,4); - - t[2][2] = f.value(p,5); - - return t; -} - - -template <> -const SymmetricTensor<4, 3> & - ParsedSymmetricTensorFunction<4, 3>::operator()(const Point<3> &p) const -{ - t[0][0][0][0] = f.value(p, 0); - - t[0][0][1][1] = f.value(p, 1); - t[1][1][0][0] = f.value(p, 1); - - t[0][0][2][2] = f.value(p, 2); - t[2][2][0][0] = f.value(p, 2); - - t[0][0][0][1] = f.value(p, 3); - t[0][1][0][0] = f.value(p, 3); - - t[0][0][1][2] = f.value(p, 4); - t[1][2][0][0] = f.value(p, 4); - - t[0][0][2][0] = f.value(p, 5); - t[2][0][0][0] = f.value(p, 5); - - t[1][1][1][1] = f.value(p, 6); - - t[1][1][2][2] = f.value(p, 7); - t[2][2][1][1] = f.value(p, 7); - - t[1][1][0][1] = f.value(p, 8); - t[0][1][1][1] = f.value(p, 8); - - t[1][1][1][2] = f.value(p, 9); - t[1][2][1][1] = f.value(p, 9); - - t[1][1][2][0] = f.value(p, 10); - t[2][0][1][1] = f.value(p, 10); - - t[2][2][2][2] = f.value(p, 11); - - t[2][2][0][1] = f.value(p, 12); - t[0][1][2][2] = f.value(p, 12); - - t[2][2][1][2] = f.value(p, 13); - t[1][2][2][2] = f.value(p, 13); - - t[2][2][0][2] = f.value(p, 14); - t[0][2][2][2] = f.value(p, 14); - - t[0][1][0][1] = f.value(p, 15); - - t[0][1][1][2] = f.value(p, 16); - t[1][2][0][1] = f.value(p, 16); - - t[0][1][0][2] = f.value(p, 17); - t[0][2][0][1] = f.value(p, 17); - - t[1][2][1][2] = f.value(p, 18); - - t[1][2][0][2] = f.value(p, 19); - t[0][2][1][2] = f.value(p, 19); - - t[0][2][0][2] = f.value(p, 20); - - return t; -} - -#endif - -template class ParsedSymmetricTensorFunction<2,deal_II_dimension>; -template class ParsedSymmetricTensorFunction<4,deal_II_dimension>; diff --git a/deal.II/examples/step-41/source/vector_space.cc b/deal.II/examples/step-41/source/vector_space.cc deleted file mode 100644 index fa06236c7f..0000000000 --- a/deal.II/examples/step-41/source/vector_space.cc +++ /dev/null @@ -1,3 +0,0 @@ -#include "../include/vector_space.templates.h" - -template class VectorSpace; diff --git a/deal.II/examples/step-41/step-41.cc b/deal.II/examples/step-41/step-41.cc deleted file mode 100644 index e45e1b592f..0000000000 --- a/deal.II/examples/step-41/step-41.cc +++ /dev/null @@ -1,37 +0,0 @@ -#include -#include "../include/base.h" - -int main () -{ - try - { - Base problem; - problem.run (); - } - catch (std::exception &exc) - { - std::cerr << std::endl << std::endl - << "----------------------------------------------------" - << std::endl; - std::cerr << "Exception on processing: " << std::endl - << exc.what() << std::endl - << "Aborting!" << std::endl - << "----------------------------------------------------" - << std::endl; - - return 1; - } - catch (...) - { - std::cerr << std::endl << std::endl - << "----------------------------------------------------" - << std::endl; - std::cerr << "Unknown exception!" << std::endl - << "Aborting!" << std::endl - << "----------------------------------------------------" - << std::endl; - return 1; - } - - return 0; -} diff --git a/deal.II/examples/step-42/Makefile b/deal.II/examples/step-42/Makefile deleted file mode 100644 index 561f5adfeb..0000000000 --- a/deal.II/examples/step-42/Makefile +++ /dev/null @@ -1,161 +0,0 @@ -# $Id$ - - -# For the small projects Makefile, you basically need to fill in only -# four fields. -# -# The first is the name of the application. It is assumed that the -# application name is the same as the base file name of the single C++ -# file from which the application is generated. -target = step-42 - -# The second field determines whether you want to run your program in -# debug or optimized mode. The latter is significantly faster, but no -# run-time checking of parameters and internal states is performed, so -# you should set this value to `on' while you develop your program, -# and to `off' when running production computations. -debug-mode = on - - -# As third field, we need to give the path to the top-level deal.II -# directory. You need to adjust this to your needs. Since this path is -# probably the most often needed one in the Makefile internals, it is -# designated by a single-character variable, since that can be -# reference using $D only, i.e. without the parentheses that are -# required for most other parameters, as e.g. in $(target). -D = ../../ - - -# The last field specifies the names of data and other files that -# shall be deleted when calling `make clean'. Object and backup files, -# executables and the like are removed anyway. Here, we give a list of -# files in the various output formats that deal.II supports. -clean-up-files = *gmv *gnuplot *gpl *eps *pov *vtk *ucd *.d2 - - - - -# -# -# Usually, you will not need to change anything beyond this point. -# -# -# The next statement tells the `make' program where to find the -# deal.II top level directory and to include the file with the global -# settings -include $D/common/Make.global_options - -################################################################ -# This example program will only work if UMFPACK is installed. If this -# is not the case, then simply redefine the main targets to do nothing - - -ifneq ($(USE_CONTRIB_UMFPACK),yes) -default run clean: - @echo - @echo "===========================================================" - @echo "= This program cannot be compiled without UMFPACK. Make =" - @echo "= sure you have UMFPACK installed and detected during =" - @echo "= configuration of deal.II =" - @echo "===========================================================" - @echo -endif -# -################################################################ - - -# Since the whole project consists of only one file, we need not -# consider difficult dependencies. We only have to declare the -# libraries which we want to link to the object file. deal.II has two -# libraries: one for the debug mode version of the -# application and one for optimized mode. -libs.g := $(lib-deal2.g) -libs.o := $(lib-deal2.o) - - -# We now use the variable defined above to switch between debug and -# optimized mode to select the set of libraries to link with. Included -# in the list of libraries is the name of the object file which we -# will produce from the single C++ file. Note that by default we use -# the extension .g.o for object files compiled in debug mode and .o for -# object files in optimized mode (or whatever local default on your -# system is instead of .o) -ifeq ($(debug-mode),on) - libraries = $(target).g.$(OBJEXT) $(libs.g) -else - libraries = $(target).$(OBJEXT) $(libs.o) -endif - - -# Now comes the first production rule: how to link the single object -# file produced from the single C++ file into the executable. Since -# this is the first rule in the Makefile, it is the one `make' selects -# if you call it without arguments. -$(target)$(EXEEXT) : $(libraries) - @echo ============================ Linking $@ - @$(CXX) -o $@ $^ $(LIBS) $(LDFLAGS) - - -# To make running the application somewhat independent of the actual -# program name, we usually declare a rule `run' which simply runs the -# program. You can then run it by typing `make run'. This is also -# useful if you want to call the executable with arguments which do -# not change frequently. You may then want to add them to the -# following rule: -run: $(target)$(EXEEXT) - @echo ============================ Running $< - @./$(target)$(EXEEXT) - - -# As a last rule to the `make' program, we define what to do when -# cleaning up a directory. This usually involves deleting object files -# and other automatically created files such as the executable itself, -# backup files, and data files. Since the latter are not usually quite -# diverse, you needed to declare them at the top of this file. -clean: - -rm -f *.$(OBJEXT) *~ Makefile.dep $(target)$(EXEEXT) $(clean-up-files) - - -# Since we have not yet stated how to make an object file from a C++ -# file, we should do so now. Since the many flags passed to the -# compiler are usually not of much interest, we suppress the actual -# command line using the `at' sign in the first column of the rules -# and write the string indicating what we do instead. -./%.g.$(OBJEXT) : - @echo "==============debug========= $( $@" - @$(CXX) $(CXXFLAGS.g) -c $< -o $@ -./%.$(OBJEXT) : - @echo "==============optimized===== $( $@" - @$(CXX) $(CXXFLAGS.o) -c $< -o $@ - - -# The following statement tells make that the rules `run' and `clean' -# are not expected to produce files of the same name as Makefile rules -# usually do. -.PHONY: run clean - - -# Finally there is a rule which you normally need not care much about: -# since the executable depends on some include files from the library, -# besides the C++ application file of course, it is necessary to -# re-generate the executable when one of the files it depends on has -# changed. The following rule creates a dependency file -# `Makefile.dep', which `make' uses to determine when to regenerate -# the executable. This file is automagically remade whenever needed, -# i.e. whenever one of the cc-/h-files changed. Make detects whether -# to remake this file upon inclusion at the bottom of this file. -# -# If the creation of Makefile.dep fails, blow it away and fail -Makefile.dep: $(target).cc Makefile \ - $(shell echo $D/include/deal.II/*/*.h) - @echo ============================ Remaking $@ - @$D/common/scripts/make_dependencies $(INCLUDE) -B. $(target).cc \ - > $@ \ - || (rm -f $@ ; false) - @if test -s $@ ; then : else rm $@ ; fi - -# To make the dependencies known to `make', we finally have to include -# them: -include Makefile.dep - - diff --git a/deal.II/examples/step-42/doc/intro.dox b/deal.II/examples/step-42/doc/intro.dox deleted file mode 100644 index c59cfdf609..0000000000 --- a/deal.II/examples/step-42/doc/intro.dox +++ /dev/null @@ -1,2 +0,0 @@ - -

Introduction

diff --git a/deal.II/examples/step-42/doc/results.dox b/deal.II/examples/step-42/doc/results.dox deleted file mode 100644 index 747bdbbb3d..0000000000 --- a/deal.II/examples/step-42/doc/results.dox +++ /dev/null @@ -1,3 +0,0 @@ - -

Results

- diff --git a/deal.II/examples/step-42/step-42.cc b/deal.II/examples/step-42/step-42.cc deleted file mode 100644 index 2431fec161..0000000000 --- a/deal.II/examples/step-42/step-42.cc +++ /dev/null @@ -1,1189 +0,0 @@ -/* $Id$ */ -/* Author: Wolfgang Bangerth, Texas A&M University, 2008 */ - -/* $Id$ */ -/* */ -/* Copyright (C) 2008, 2009, 2010, 2011 by the deal.II authors */ -/* */ -/* This file is subject to QPL and may not be distributed */ -/* without copyright and license information. Please refer */ -/* to the file deal.II/doc/license.html for the text and */ -/* further information on this license. */ - - - // @sect3{Include files} - - // As usual, we start by including - // some well-known files: -#include -#include -#include -#include - -#include -#include -#include -#include -#include -#include -#include - -#include -#include -#include -#include -#include -#include -#include -#include - -#include -#include -#include -#include - -#include -#include -#include -#include - -#include -#include -#include -#include - - -#include - -#include - -#include -#include -#include -#include -#include -#include -#include -#include -#include - -#include -#include - - -namespace Step42 -{ - using namespace dealii; - - - template - struct InnerPreconditioner; - - - template <> - struct InnerPreconditioner<2> - { - typedef SparseDirectUMFPACK type; - }; - - - template <> - struct InnerPreconditioner<3> - { - typedef SparseILU type; - }; - - template - void copy(const MATRIX &matrix, - FullMatrix &full_matrix) - { - const unsigned int m = matrix.m(); - const unsigned int n = matrix.n(); - full_matrix.reinit(n,m); - - Vector unit (n); - Vector result (m); - for(unsigned int i=0; i - class StokesProblem - { - public: - StokesProblem (const unsigned int degree); - void run (); - - private: - void setup_dofs (); - void assemble_system (); - void assemble_multigrid (); - void solve (); - void solve_block (); - - void find_dofs_on_lower_level (std::vector > &lower_dofs, - std::vector > &boundary_dofs); - - void output_results (const unsigned int refinement_cycle) const; - void refine_mesh (); - - const unsigned int degree; - - Triangulation triangulation; - FESystem fe; - MGDoFHandler dof_handler; - - ConstraintMatrix constraints; - - BlockSparsityPattern sparsity_pattern; - BlockSparseMatrix system_matrix; - - BlockVector solution; - BlockVector system_rhs; - - MGLevelObject mg_constraints; - MGLevelObject mg_sparsity; - MGLevelObject > mg_matrices; - - MGLevelObject > mg_interface_matrices; - MGConstrainedDoFs mg_constrained_dofs; - std::vector > mg_dofs_per_component; - - std::vector::type> > mg_A_preconditioner; - std_cxx1x::shared_ptr::type> A_preconditioner; - }; - - - template - class BoundaryValues : public Function - { - public: - BoundaryValues () : Function(dim+1) {} - - virtual double value (const Point &p, - const unsigned int component = 0) const; - - virtual void vector_value (const Point &p, - Vector &value) const; - }; - - - template - double - BoundaryValues::value (const Point &p, - const unsigned int component) const - { - Assert (component < this->n_components, - ExcIndexRange (component, 0, this->n_components)); - - if (component == 0 && p[0] == 0) - return (dim == 2 ? - p[1]*(p[1]-1.) : p[1]*(p[1]-1.) * p[2]*(p[2]-1.)); - return 0; - } - - - template - void - BoundaryValues::vector_value (const Point &p, - Vector &values) const - { - for (unsigned int c=0; cn_components; ++c) - values(c) = BoundaryValues::value (p, c); - } - - - - - template - class RightHandSide : public Function - { - public: - RightHandSide () : Function(dim+1) {} - - virtual double value (const Point &p, - const unsigned int component = 0) const; - - virtual void vector_value (const Point &p, - Vector &value) const; - - }; - - - template - double - RightHandSide::value (const Point &/*p*/, - const unsigned int component) const - { - return (component == 1 ? 1 : 0); - } - - - template - void - RightHandSide::vector_value (const Point &p, - Vector &values) const - { - for (unsigned int c=0; cn_components; ++c) - values(c) = RightHandSide::value (p, c); - } - - - - - template - class InverseMatrix : public Subscriptor - { - public: - InverseMatrix (const Matrix &m, - const Preconditioner &preconditioner); - - void vmult (Vector &dst, - const Vector &src) const; - - mutable std::string name; - private: - const SmartPointer matrix; - const SmartPointer preconditioner; - }; - - - template - InverseMatrix::InverseMatrix (const Matrix &m, - const Preconditioner &preconditioner) - : - matrix (&m), - preconditioner (&preconditioner) - {} - - - template - void InverseMatrix::vmult (Vector &dst, - const Vector &src) const - { - SolverControl solver_control (src.size(), 1.0e-12*src.l2_norm()); - SolverCG<> cg (solver_control); - - dst = 0; - - try - { - cg.solve (*matrix, dst, src, *preconditioner); - } - catch (...) - { - std::cout << "Failure in " << __PRETTY_FUNCTION__ << std::endl; - abort (); - } - -#ifdef STEP_42_TEST - if (name == "in schur") - std::cout << " " << solver_control.last_step() - << " inner CG steps inside the Schur complement "; - else if (name == "top left") - std::cout << " " << solver_control.last_step() - << " CG steps on the top left block "; - else if (name == "rhs") - std::cout << " " << solver_control.last_step() - << " CG steps for computing the r.h.s. "; - else - abort (); - - std::cout << solver_control.initial_value() << "->" << solver_control.last_value() - << std::endl; -#endif - } - - - template - class BlockSchurPreconditioner : public Subscriptor - { - public: - BlockSchurPreconditioner (const BlockSparseMatrix &S, - const InverseMatrix,PreconditionerMp> &Mpinv, - const PreconditionerA &Apreconditioner); - - void vmult (BlockVector &dst, - const BlockVector &src) const; - - private: - const SmartPointer > system_matrix; - const SmartPointer, - PreconditionerMp > > m_inverse; - const PreconditionerA &a_preconditioner; - - mutable Vector tmp; - - }; - - template - BlockSchurPreconditioner::BlockSchurPreconditioner( - const BlockSparseMatrix &S, - const InverseMatrix,PreconditionerMp> &Mpinv, - const PreconditionerA &Apreconditioner - ) - : - system_matrix (&S), - m_inverse (&Mpinv), - a_preconditioner (Apreconditioner), - tmp (S.block(1,1).m()) - {} - - // Now the interesting function, the multiplication of - // the preconditioner with a BlockVector. - template - void BlockSchurPreconditioner::vmult ( - BlockVector &dst, - const BlockVector &src) const - { - // Form u_new = A^{-1} u - a_preconditioner.vmult (dst.block(0), src.block(0)); - // Form tmp = - B u_new + p - // (SparseMatrix::residual - // does precisely this) - system_matrix->block(1,0).residual(tmp, dst.block(0), src.block(1)); - // Change sign in tmp - tmp *= -1; - // Multiply by approximate Schur complement - // (i.e. a pressure mass matrix) - m_inverse->vmult (dst.block(1), tmp); - } - - template - class SchurComplement : public Subscriptor - { - public: - SchurComplement (const BlockSparseMatrix &system_matrix, - const InverseMatrix, Preconditioner> &A_inverse); - - void vmult (Vector &dst, - const Vector &src) const; - - unsigned int m() const - { - return system_matrix->block(1,1).m(); - } - - unsigned int n() const - { - return system_matrix->block(1,1).n(); - } - - private: - const SmartPointer > system_matrix; - const SmartPointer, Preconditioner> > A_inverse; - - mutable Vector tmp1, tmp2; - }; - - - - template - SchurComplement:: - SchurComplement (const BlockSparseMatrix &system_matrix, - const InverseMatrix,Preconditioner> &A_inverse) - : - system_matrix (&system_matrix), - A_inverse (&A_inverse), - tmp1 (system_matrix.block(0,0).m()), - tmp2 (system_matrix.block(0,0).m()) - {} - - - template - void SchurComplement::vmult (Vector &dst, - const Vector &src) const - { - system_matrix->block(0,1).vmult (tmp1, src); - A_inverse->name = "in schur"; - A_inverse->vmult (tmp2, tmp1); - system_matrix->block(1,0).vmult (dst, tmp2); - dst *= -1; - system_matrix->block(1,1).vmult_add (dst, src); - dst *= -1; - } - - - - template - StokesProblem::StokesProblem (const unsigned int degree) - : - degree (degree), - triangulation (Triangulation::limit_level_difference_at_vertices), - fe (FE_Q(degree+1), dim, - FE_Q(degree), 1), - dof_handler (triangulation) - {} - - - - - - template - void StokesProblem::setup_dofs () - { - A_preconditioner.reset (); - mg_A_preconditioner.resize (0); - system_matrix.clear (); - - dof_handler.distribute_dofs (fe); -// DoFRenumbering::Cuthill_McKee (dof_handler); - - std::vector block_component (dim+1,0); - block_component[dim] = 1; - DoFRenumbering::component_wise (dof_handler, block_component); - - - { - constraints.clear (); - typename FunctionMap::type dirichlet_boundary; - ZeroFunction homogeneous_dirichlet_bc (dim+1); //TODO: go back to BoundaryValues - - dirichlet_boundary[0] = &homogeneous_dirichlet_bc; - MappingQ1 mapping; - - std::vector component_mask (dim+1, true); - component_mask[dim] = false; - VectorTools::interpolate_boundary_values (mapping, - dof_handler, - dirichlet_boundary, - constraints, - component_mask); - - DoFTools::make_hanging_node_constraints (dof_handler, - constraints); - - mg_constrained_dofs.clear(); - mg_constrained_dofs.initialize(dof_handler, dirichlet_boundary); - } - - constraints.close (); - - - std::vector dofs_per_block (2); - DoFTools::count_dofs_per_block (dof_handler, dofs_per_block, - block_component); - const unsigned int n_u = dofs_per_block[0], - n_p = dofs_per_block[1]; - - std::cout << " Number of active cells: " - << triangulation.n_active_cells() - << std::endl - << " Number of degrees of freedom: " - << dof_handler.n_dofs() - << " (" << n_u << '+' << n_p << ')' - << std::endl; - - { - BlockCompressedSimpleSparsityPattern csp (2,2); - - csp.block(0,0).reinit (n_u, n_u); - csp.block(1,0).reinit (n_p, n_u); - csp.block(0,1).reinit (n_u, n_p); - csp.block(1,1).reinit (n_p, n_p); - - csp.collect_sizes(); - - DoFTools::make_sparsity_pattern ( - static_cast&>(dof_handler), - csp, constraints, false); - sparsity_pattern.copy_from (csp); - } - - - system_matrix.reinit (sparsity_pattern); - - solution.reinit (2); - solution.block(0).reinit (n_u); - solution.block(1).reinit (n_p); - solution.collect_sizes (); - - system_rhs.reinit (2); - system_rhs.block(0).reinit (n_u); - system_rhs.block(1).reinit (n_p); - system_rhs.collect_sizes (); - - //now setup stuff for mg - const unsigned int nlevels = triangulation.n_levels(); - - mg_matrices.resize(0, nlevels-1); - mg_matrices.clear (); - mg_interface_matrices.resize(0, nlevels-1); - mg_interface_matrices.clear (); - mg_sparsity.resize(0, nlevels-1); - - mg_dofs_per_component.resize (nlevels); - for (unsigned int level=0; level - void StokesProblem::assemble_system () - { - system_matrix=0; - system_rhs=0; - - QGauss quadrature_formula(degree+2); - - FEValues fe_values (fe, quadrature_formula, - update_values | - update_quadrature_points | - update_JxW_values | - update_gradients); - - const unsigned int dofs_per_cell = fe.dofs_per_cell; - - const unsigned int n_q_points = quadrature_formula.size(); - - FullMatrix local_matrix (dofs_per_cell, dofs_per_cell); - Vector local_rhs (dofs_per_cell); - - std::vector local_dof_indices (dofs_per_cell); - - const RightHandSide right_hand_side; - std::vector > rhs_values (n_q_points, - Vector(dim+1)); - - - const FEValuesExtractors::Vector velocities (0); - const FEValuesExtractors::Scalar pressure (dim); - - - - std::vector > phi_grads_u (dofs_per_cell); - std::vector div_phi_u (dofs_per_cell); - std::vector phi_p (dofs_per_cell); - - typename MGDoFHandler::active_cell_iterator - cell = dof_handler.begin_active(), - endc = dof_handler.end(); - for (; cell!=endc; ++cell) - { - fe_values.reinit (cell); - local_matrix = 0; - local_rhs = 0; - - right_hand_side.vector_value_list(fe_values.get_quadrature_points(), - rhs_values); - - for (unsigned int q=0; qget_dof_indices (local_dof_indices); - constraints.distribute_local_to_global (local_matrix, local_rhs, - local_dof_indices, - system_matrix, system_rhs); - } - } - - - template - void StokesProblem::assemble_multigrid () - { - QGauss quadrature_formula(degree+2); - FEValues fe_values (fe, quadrature_formula, - update_values | - update_quadrature_points | - update_JxW_values | - update_gradients); - - const unsigned int dofs_per_cell = fe.dofs_per_cell; - const unsigned int n_q_points = quadrature_formula.size(); - - FullMatrix local_matrix (dofs_per_cell, dofs_per_cell); - - std::vector local_dof_indices (dofs_per_cell); - - const FEValuesExtractors::Vector velocities (0); - const FEValuesExtractors::Scalar pressure (dim); - - - std::vector > phi_grads_u (dofs_per_cell); - std::vector div_phi_u (dofs_per_cell); - std::vector phi_p (dofs_per_cell); - - std::vector > interface_dofs - = mg_constrained_dofs.get_refinement_edge_indices (); - std::vector > boundary_interface_dofs - = mg_constrained_dofs.get_refinement_edge_boundary_indices (); - - std::vector boundary_constraints (triangulation.n_levels()); - std::vector boundary_interface_constraints (triangulation.n_levels()); - for (unsigned int level=0; level::cell_iterator - cell = dof_handler.begin(), - endc = dof_handler.end(); - for (; cell!=endc; ++cell) - { - // Remember the level of the - // current cell. - const unsigned int level = cell->level(); - // Compute the values specified - // by update flags above. - fe_values.reinit (cell); - local_matrix = 0; - - for (unsigned int q=0; qget_mg_dof_indices (local_dof_indices); - boundary_constraints[level] - .distribute_local_to_global (local_matrix, - local_dof_indices, - mg_matrices[level]); - - for (unsigned int i=0; i::type>(new typename InnerPreconditioner::type()); - mg_A_preconditioner[level] - ->initialize (mg_matrices[level].block(0,0), - typename InnerPreconditioner::type::AdditionalData()); - } - } - - - template - class SchurComplementSmoother - { - public: - struct AdditionalData - { - const InnerPreconditioner *A_preconditioner; - }; - - void initialize (const BlockSparseMatrix &system_matrix, - const AdditionalData &data); - - void vmult (BlockVector &dst, - const BlockVector &src) const; - - void Tvmult (BlockVector &dst, - const BlockVector &src) const; - - void clear (); - - private: - SmartPointer > system_matrix; - SmartPointer A_preconditioner; - }; - - - template - void - SchurComplementSmoother:: - initialize (const BlockSparseMatrix &system_matrix, - const AdditionalData &data) - { - this->system_matrix = &system_matrix; - this->A_preconditioner = data.A_preconditioner; - } - - - - - template - void - SchurComplementSmoother:: - vmult (BlockVector &dst, - const BlockVector &src) const - { -#ifdef STEP_42_TEST - std::cout << "Entering smoother with " << dst.size() << " unknowns" << std::endl; -#endif - - SparseDirectUMFPACK direct_solver; - direct_solver.initialize(*system_matrix); - Vector solution, rhs; - solution = dst; - rhs = src; - direct_solver.vmult(solution, rhs); - dst = solution; -/* - const InverseMatrix,InnerPreconditioner> - A_inverse (system_matrix->block(0,0), *A_preconditioner); - Vector tmp (dst.block(0).size()); - - - { - Vector schur_rhs (dst.block(1).size()); - A_inverse.name = "rhs"; - A_inverse.vmult (tmp, src.block(0)); -// std::cout << " TMP " << tmp.l2_norm() << std::endl; -system_matrix->block(1,0).vmult (schur_rhs, tmp); -schur_rhs -= src.block(1); -// std::cout << " BLOCK 1 " << src.block(1).l2_norm() << std::endl; -// std::cout << " SCHUR RHS " << schur_rhs.l2_norm() << std::endl; - -SchurComplement -schur_complement (*system_matrix, A_inverse); - - // The usual control structures for - // the solver call are created... - SolverControl solver_control (dst.block(1).size(), - 1e-1*schur_rhs.l2_norm()); - SolverGMRES<> cg (solver_control); - - #ifdef STEP_42_TEST - std::cout << " Starting Schur complement solver -- " - << schur_complement.m() << " unknowns" - << std::endl; - #endif - try - { - cg.solve (schur_complement, dst.block(1), schur_rhs, - PreconditionIdentity()); - } - catch (...) - { - std::cout << "Failure in " << __PRETTY_FUNCTION__ << std::endl; - std::cout << schur_rhs.l2_norm () << std::endl; - abort (); - } - -// no constraints to be taken care of here -#ifdef STEP_42_TEST -std::cout << " " -<< solver_control.last_step() -<< " CG Schur complement iterations in smoother " -<< solver_control.initial_value() << "->" << solver_control.last_value() -<< std::endl; -#endif -} - - -{ -system_matrix->block(0,1).vmult (tmp, dst.block(1)); -tmp *= -1; -tmp += src.block(0); - -A_inverse.name = "top left"; -A_inverse.vmult (dst.block(0), tmp); -// no constraints here either -} -#ifdef STEP_42_TEST -std::cout << "Exiting smoother with " << dst.size() << " unknowns" << std::endl; -#endif -*/ - } - - - - template - void - SchurComplementSmoother::clear () - {} - - - - template - void - SchurComplementSmoother:: - Tvmult (BlockVector &, - const BlockVector &) const - { - Assert (false, ExcNotImplemented()); - } - - - - template - void StokesProblem::solve () - { - system_matrix.block(1,1) = 0; - assemble_multigrid (); - typedef PreconditionMG, MGTransferPrebuilt > > - MGPREC; - - GrowingVectorMemory > mg_vector_memory; - - MGTransferPrebuilt > mg_transfer(constraints, mg_constrained_dofs); - std::vector block_component (dim+1,0); - block_component[dim] = 1; - mg_transfer.set_component_to_block_map (block_component); - mg_transfer.build_matrices(dof_handler); - - FullMatrix mg_coarse_matrix; - mg_coarse_matrix.copy_from (mg_matrices[0]); - MGCoarseGridHouseholder > mg_coarse; - mg_coarse.initialize(mg_coarse_matrix); - - MGMatrix, BlockVector > - mg_matrix(&mg_matrices); - MGMatrix, BlockVector > - mg_interface_up(&mg_interface_matrices); - MGMatrix, BlockVector > - mg_interface_down(&mg_interface_matrices); - - typedef - SchurComplementSmoother::type> - Smoother; - - MGSmootherPrecondition, - Smoother, - BlockVector > - mg_smoother(mg_vector_memory); - - MGLevelObject - smoother_data (0, triangulation.n_levels()-1); - - for (unsigned int level=0; level > mg(dof_handler, - mg_matrix, - mg_coarse, - mg_transfer, - mg_smoother, - mg_smoother); - mg.set_debug(3); - mg.set_edge_matrices(mg_interface_down, mg_interface_up); - - MGPREC preconditioner(dof_handler, mg, mg_transfer); - - SolverControl solver_control (system_matrix.m(), - 1e-6*system_rhs.l2_norm()); - GrowingVectorMemory > vector_memory; - SolverGMRES >::AdditionalData gmres_data; - gmres_data.max_n_tmp_vectors = 100; - - SolverGMRES > gmres(solver_control, vector_memory, - gmres_data); - -// PreconditionIdentity precondition_identity; -#ifdef STEP_42_TEST - std::cout << "Starting outer GMRES complement solver" << std::endl; -#endif - try - { - gmres.solve(system_matrix, solution, system_rhs, - preconditioner); - } - catch (...) - { - std::cout << "Failure in " << __PRETTY_FUNCTION__ << std::endl; - abort (); - } - - constraints.distribute (solution); - - std::cout << solver_control.last_step() - << " outer GMRES iterations "; - } - - - template - void StokesProblem::solve_block () - { - std::cout << " Computing preconditioner..." << std::endl << std::flush; - - A_preconditioner - = std_cxx1x::shared_ptr::type>(new typename InnerPreconditioner::type()); - A_preconditioner->initialize (system_matrix.block(0,0), - typename InnerPreconditioner::type::AdditionalData()); - - SparseMatrix pressure_mass_matrix; - pressure_mass_matrix.reinit(sparsity_pattern.block(1,1)); - pressure_mass_matrix.copy_from(system_matrix.block(1,1)); - system_matrix.block(1,1) = 0; - - SparseILU pmass_preconditioner; - pmass_preconditioner.initialize (pressure_mass_matrix, - SparseILU::AdditionalData()); - - InverseMatrix,SparseILU > - m_inverse (pressure_mass_matrix, pmass_preconditioner); - - BlockSchurPreconditioner::type, - SparseILU > - preconditioner (system_matrix, m_inverse, *A_preconditioner); - - SolverControl solver_control (system_matrix.m(), - 1e-6*system_rhs.l2_norm()); - GrowingVectorMemory > vector_memory; - SolverGMRES >::AdditionalData gmres_data; - gmres_data.max_n_tmp_vectors = 100; - - SolverGMRES > gmres(solver_control, vector_memory, - gmres_data); - - gmres.solve(system_matrix, solution, system_rhs, - preconditioner); - - constraints.distribute (solution); - - std::cout << " " - << solver_control.last_step() - << " block GMRES iterations "; - } - - - template - void - StokesProblem::output_results (const unsigned int refinement_cycle) const - { - std::vector solution_names (dim, "velocity"); - solution_names.push_back ("pressure"); - - std::vector - data_component_interpretation - (dim, DataComponentInterpretation::component_is_part_of_vector); - data_component_interpretation - .push_back (DataComponentInterpretation::component_is_scalar); - - DataOut data_out; - data_out.attach_dof_handler (dof_handler); - data_out.add_data_vector (solution, solution_names, - DataOut::type_dof_data, - data_component_interpretation); - data_out.build_patches (); - - std::ostringstream filename; - filename << "solution-" - << Utilities::int_to_string (refinement_cycle, 2) - << ".vtk"; - - std::ofstream output (filename.str().c_str()); - data_out.write_vtk (output); - } - - - - template - void - StokesProblem::refine_mesh () - { - Vector estimated_error_per_cell (triangulation.n_active_cells()); - - std::vector component_mask (dim+1, false); - component_mask[dim] = true; - KellyErrorEstimator::estimate (static_cast&>(dof_handler), - QGauss(degree+1), - typename FunctionMap::type(), - solution, - estimated_error_per_cell, - component_mask); - - GridRefinement::refine_and_coarsen_fixed_number (triangulation, - estimated_error_per_cell, - 0.3, 0.0); - triangulation.execute_coarsening_and_refinement (); - } - - - - template - void StokesProblem::run () - { - { - std::vector subdivisions (dim, 1); - subdivisions[0] = 1; - - const Point bottom_left = (dim == 2 ? - Point(0,0) : - Point(0,0,0)); - const Point top_right = (dim == 2 ? - Point(1,1) : - Point(1,1,1)); - - GridGenerator::subdivided_hyper_rectangle (triangulation, - subdivisions, - bottom_left, - top_right); - } - - - for (typename Triangulation::active_cell_iterator - cell = triangulation.begin_active(); - cell != triangulation.end(); ++cell) - for (unsigned int f=0; f::faces_per_cell; ++f) - if (cell->face(f)->center()[0] == 1) - cell->face(f)->set_all_boundary_indicators(1); - - - - triangulation.refine_global (1); - - - for (unsigned int refinement_cycle = 0; refinement_cycle<10; - ++refinement_cycle) - { - std::cout << "Refinement cycle " << refinement_cycle << std::endl; - - if (refinement_cycle > 0) - refine_mesh (); - - std::ostringstream out_filename; - out_filename << "gitter" - << refinement_cycle - << ".eps"; - - std::ofstream grid_output (out_filename.str().c_str()); - GridOut grid_out; - grid_out.write_eps (triangulation, grid_output); - - setup_dofs (); - - std::cout << " Assembling..." << std::endl << std::flush; - assemble_system (); - - std::cout << " Solving..." << std::flush; - - solve_block (); - output_results (refinement_cycle); - system ("mv solution-* block"); - - solution = 0; - - solve (); - output_results (refinement_cycle); - system ("mv solution-* mg"); - - std::cout << std::endl; - } - } -} - - - -int main () -{ - try - { - using namespace dealii; - using namespace Step42; - - deallog.depth_console (0); - - StokesProblem<2> flow_problem(1); - flow_problem.run (); - } - catch (std::exception &exc) - { - std::cerr << std::endl << std::endl - << "----------------------------------------------------" - << std::endl; - std::cerr << "Exception on processing: " << std::endl - << exc.what() << std::endl - << "Aborting!" << std::endl - << "----------------------------------------------------" - << std::endl; - - return 1; - } - catch (...) - { - std::cerr << std::endl << std::endl - << "----------------------------------------------------" - << std::endl; - std::cerr << "Unknown exception!" << std::endl - << "Aborting!" << std::endl - << "----------------------------------------------------" - << std::endl; - return 1; - } - - return 0; -} diff --git a/deal.II/examples/step-43/Makefile b/deal.II/examples/step-43/Makefile deleted file mode 100644 index 2fb15f3214..0000000000 --- a/deal.II/examples/step-43/Makefile +++ /dev/null @@ -1,165 +0,0 @@ -# $Id$ - - -# For the small projects Makefile, you basically need to fill in only -# four fields. -# -# The first is the name of the application. It is assumed that the -# application name is the same as the base file name of the single C++ -# file from which the application is generated. -target = step-43 - -# The second field determines whether you want to run your program in -# debug or optimized mode. The latter is significantly faster, but no -# run-time checking of parameters and internal states is performed, so -# you should set this value to `on' while you develop your program, -# and to `off' when running production computations. -debug-mode = on - - -# As third field, we need to give the path to the top-level deal.II -# directory. You need to adjust this to your needs. Since this path is -# probably the most often needed one in the Makefile internals, it is -# designated by a single-character variable, since that can be -# reference using $D only, i.e. without the parentheses that are -# required for most other parameters, as e.g. in $(target). -D = ../../ - - -# The last field specifies the names of data and other files that -# shall be deleted when calling `make clean'. Object and backup files, -# executables and the like are removed anyway. Here, we give a list of -# files in the various output formats that deal.II supports. -clean-up-files = *gmv *gnuplot *gpl *eps *pov *vtk *ucd *.d2 - - - - -# -# -# Usually, you will not need to change anything beyond this point. -# -# -# The next statement tells the `make' program where to find the -# deal.II top level directory and to include the file with the global -# settings -include $D/common/Make.global_options - -################################################################ -# This example program will only work if Trilinos is installed. If this -# is not the case, then simply redefine the main targets to do nothing -ifneq ($(USE_CONTRIB_TRILINOS),yes) -default run clean: - @echo - @echo "===========================================================" - @echo "= This program cannot be compiled without Trilinos. Make=" - @echo "= sure you have Trilinos installed and detected during =" - @echo "= configuration of deal.II =" - @echo "===========================================================" - @echo - -else -# -################################################################ - - - - -# Since the whole project consists of only one file, we need not -# consider difficult dependencies. We only have to declare the -# libraries which we want to link to the object file. deal.II has two -# libraries: one for the debug mode version of the -# application and one for optimized mode. -libs.g := $(lib-deal2.g) -libs.o := $(lib-deal2.o) - - -# We now use the variable defined above to switch between debug and -# optimized mode to select the set of libraries to link with. Included -# in the list of libraries is the name of the object file which we -# will produce from the single C++ file. Note that by default we use -# the extension .g.o for object files compiled in debug mode and .o for -# object files in optimized mode (or whatever local default on your -# system is instead of .o) -ifeq ($(debug-mode),on) - libraries = $(target).g.$(OBJEXT) $(libs.g) -else - libraries = $(target).$(OBJEXT) $(libs.o) -endif - - -# Now comes the first production rule: how to link the single object -# file produced from the single C++ file into the executable. Since -# this is the first rule in the Makefile, it is the one `make' selects -# if you call it without arguments. -$(target)$(EXEEXT) : $(libraries) - @echo ============================ Linking $@ - @$(CXX) -o $@ $^ $(LIBS) $(LDFLAGS) - - -# To make running the application somewhat independent of the actual -# program name, we usually declare a rule `run' which simply runs the -# program. You can then run it by typing `make run'. This is also -# useful if you want to call the executable with arguments which do -# not change frequently. You may then want to add them to the -# following rule: -run: $(target)$(EXEEXT) - @echo ============================ Running $< - @./$(target)$(EXEEXT) - - - -# As a last rule to the `make' program, we define what to do when -# cleaning up a directory. This usually involves deleting object files -# and other automatically created files such as the executable itself, -# backup files, and data files. Since the latter are not usually quite -# diverse, you needed to declare them at the top of this file. -clean: - -rm -f *.$(OBJEXT) *~ Makefile.dep $(target)$(EXEEXT) $(clean-up-files) - - -# Since we have not yet stated how to make an object file from a C++ -# file, we should do so now. Since the many flags passed to the -# compiler are usually not of much interest, we suppress the actual -# command line using the `at' sign in the first column of the rules -# and write the string indicating what we do instead. -./%.g.$(OBJEXT) : - @echo "==============debug========= $( $@" - @$(CXX) $(CXXFLAGS.g) -c $< -o $@ -./%.$(OBJEXT) : - @echo "==============optimized===== $( $@" - @$(CXX) $(CXXFLAGS.o) -c $< -o $@ - - - -# The following statement tells make that the rules `run' and `clean' -# are not expected to produce files of the same name as Makefile rules -# usually do. -.PHONY: run clean - - -# Finally there is a rule which you normally need not care much about: -# since the executable depends on some include files from the library, -# besides the C++ application file of course, it is necessary to -# re-generate the executable when one of the files it depends on has -# changed. The following rule creates a dependency file -# `Makefile.dep', which `make' uses to determine when to regenerate -# the executable. This file is automagically remade whenever needed, -# i.e. whenever one of the cc-/h-files changed. Make detects whether -# to remake this file upon inclusion at the bottom of this file. -# -# If the creation of Makefile.dep fails, blow it away and fail -Makefile.dep: $(target).cc Makefile \ - $(shell echo $D/include/deal.II/*/*.h) - @echo ============================ Remaking $@ - @$D/common/scripts/make_dependencies $(INCLUDE) -B. $(target).cc \ - > $@ \ - || (rm -f $@ ; false) - @if test -s $@ ; then : else rm $@ ; fi - -# To make the dependencies known to `make', we finally have to include -# them: -include Makefile.dep - - -endif # USE_CONTRIB_TRILINOS diff --git a/deal.II/examples/step-43/doc/builds-on b/deal.II/examples/step-43/doc/builds-on deleted file mode 100644 index b27e0d398f..0000000000 --- a/deal.II/examples/step-43/doc/builds-on +++ /dev/null @@ -1 +0,0 @@ -step-21 step-31 diff --git a/deal.II/examples/step-43/doc/intro.dox b/deal.II/examples/step-43/doc/intro.dox deleted file mode 100644 index 6b19ba258b..0000000000 --- a/deal.II/examples/step-43/doc/intro.dox +++ /dev/null @@ -1,571 +0,0 @@ -
- - -This program was contributed by Chih-Che Chueh (University of Victoria) and -Wolfgang Bangerth. Results from this program are used and discussed in the -following publications: -- Chih-Che Chueh, Marc Secanell, Wolfgang Bangerth, Ned Djilali. Multi-level - adaptive simulation of transient two-phase flow in heterogeneous porous - media. Computers & Fluids, 39:1585-1596, 2010 -- Chih-Che Chueh, Wolfgang Bangerth, Ned Djilali. An h-adaptive operator - splitting method for two-phase flow in 3D heterogeneous porous - media. Submitted to Communications in Computational Physics. - -The implementation discussed here uses and extends -parts of the step-21, step-31 and step-33 tutorial programs. - -The work of the first author was funded through the Canada Research Chairs -Program and the MITACS Network of Centres of Excellence. Parts of the work by -the second author were funded through Award No. KUS-C1-016-04, made by the King -Abdullah University of Science and Technology, and through an Alfred P. Sloan -Research Fellowship. - - - -

Introduction

- -The simulation of multiphase flow in porous media is a ubiquitous problem, and -we have previously addressed it already in some form in step-20 and -step-21. However, as was easy to see there, -it faces two major difficulties: numerical accuracy and efficiency. The first -is easy to see in step-20: using lowest order Raviart-Thomas elements can not -be expected to yield highly accurate solutions. We need more accurate -methods. The second reason is apparent from step-21: that program is -exceedingly slow, and there is no hope to get highly accurate solutions in 3d -within reasonable time frames. - -In this -program, in order to overcome these two problems, there are five areas which -we are trying to improve for a high performance simulator: - -
    -
  • Higher order spatial discretizations -
  • Adaptive mesh refinement -
  • Adaptive time stepping -
  • Operator splitting -
  • Efficient solver and preconditioning -
- -

Advection-dominated two-phase flow mathematical model.

- -We consider the flow of a two-phase immiscible, incompressible -fluid. Capillary and gravity effects are neglected, and viscous -effects are assumed dominant. The governing equations for such a -flow that are identical to those used in step-21 and are -@f{align*} - \mathbf{u}_t &= - \mathbf{K} \lambda_t \left(S\right) \nabla p, \\ - \nabla \cdot \mathbf{u}_t &= q, \\ - \epsilon \frac{\partial S}{\partial t} + \nabla \cdot \left( \mathbf{u}_t F\left( S \right) \right)&=0, -@f} -where $S$ is the saturation (volume fraction between zero and one) of the second (wetting) phase, $p$ is the pressure, $\mathbf{K}$ is the permeability tensor, $\lambda_t$ is the total mobility, $\epsilon$ is the porosity, $F$ is the fractional flow of the wetting phase, $q$ is the source term and $\mathbf{u}_t$ is the total velocity. The total mobility, fractional flow of the wetting phase and total velocity are respectively given by -@f{align*} - \lambda_t(S)&= \lambda_w + \lambda_{nw} = \frac{k_{rw}(S)}{\mu_w} + \frac{k_{rnw}(S)}{\mu_{nw}}, \\ - F(S) &= \frac{\lambda_w}{\lambda_t} = \frac{\lambda_w}{\lambda_w + \lambda_{nw}} = \frac{k_{rw}(S)/\mu_w}{k_{rw}(S)/\mu_w + k_{rnw}(S)/\mu_{nw}}, \\ - \mathbf{u}_t &= \mathbf{u}_w + \mathbf{u}_{nw} = -\lambda_t(S)\mathbf{K} \cdot \nabla p, -@f} -where subscripts $w, nw$ represent the wetting and non-wetting phases, -respectively. - -For convenience, the -porosity $\epsilon$ in the saturation equation, which can be considered a -scaling factor for the time variable, is set to -one. Following a commonly used prescription for the dependence of the relative -permeabilities $k_{rw}$ and $k_{rnw}$ on saturation, we use -@f{align*} - k_{rw} &= S^2, \qquad&\qquad - k_{rnw} &= \left( 1-S \right)^2. -@f} - -The porous media equations above are -augmented by initial conditions for the saturation and boundary conditions for -the pressure. Since saturation and the gradient of the pressure uniquely -determine the velocity, no boundary conditions are necessary for the velocity. -Since the flow equations do not contain time derivatives, initial conditions for the velocity and pressure -variables are not required. The flow field separates the boundary into inflow or outflow -parts. Specifically, -@f[ - \mathbf{\Gamma}_{in}(t) = \left\{\mathbf{x} \in \partial \Omega:\mathbf{n} \cdot \mathbf{u}_t<0\right\}, -@f] -and we arrive at a complete model by also imposing boundary values for the -saturation variable on the inflow boundary $\mathbf{\Gamma}_{in}$. - - -

Adaptive operator splitting and time stepping.

- -As seen in step-21, solving the flow equations for velocity and pressure are -the parts of the program that take far longer than the (explicit) updating -step for the saturation variable once we know the flow variables. On the other -hand, the pressure and velocity depend only weakly on saturation, so one may -think about only solving for pressure and velocity every few time steps while -updating the saturation in every step. If we can find a criterion for when the -flow variables need to be updated, we call this splitting an "adaptive -operator splitting" scheme. - -Here, we use the following a posteriori criterion to decide when to re-compute -pressure and velocity variables: -(detailed derivations and descriptions can be found in [Chueh, Bangerth -and Djilali 2010]): -@f{align*} - \theta(n,n_p) - = - \max_{\kappa\in{\mathbb T}} - \left( - \left\| - \frac 1{\lambda_t\left(S^{(n-1)}\right)} - - \frac 1{\lambda_t\left(S^{(n_p)}\right)} \right\|_{L^\infty(\kappa)} - \left\|\|\mathbf{K}^{-1}\|_1\right\|_{L^\infty(\kappa)} - \right). -@f} -where superscripts in parentheses denote the number of the saturation time -step at which any quantity is defined and $n_pTime discretization. -Using this time discretization, we obtain the following set of equations for each time step: -@f{align*} - \mathbf{u}^{(n)}_t + \lambda_t\left(S^{(n-1)}\right) \mathbf{K} \nabla p^{(n)} =0, \\ - \nabla \cdot \mathbf{u}^{(n)}_t = q, \\ - \epsilon \left( \frac{S^{(n-1)}-S^{(n)}}{\Delta t^{(n)}_c} \right) + \mathbf{u}^{(n)}_t \cdot \nabla F\left(S^{(n-1)}\right) + F\left(S^{(n-1)}\right) \nabla \cdot \mathbf{u}^{(n)}_t =0, -@f} -where $\Delta -t^{(n)}_c=t^{(n)}_c-t^{(n-1)}_c$ is the length of the $n$-th time step. - -Using the fact that $\nabla \cdot \mathbf{u}_t = q$, the time discrete -saturation equation becomes -@f{align*} - &\epsilon \left( \frac{S^{(n)}-S^{(n-1)}}{\Delta t^{(n)}_c} \right) + \mathbf{u}^{(n)}_t \cdot \nabla F\left(S^{(n-1)}\right) + F\left(S^{(n-1)}\right)q=0. -@f} - -

Weak form, space discretization for the pressure-velocity part.

- -By multiplying the equations defining the total velocity $\mathbf u_t^{(n)}$ and -the equation that expresses its divergence in terms of source terms, with test -functions $\mathbf{v}$ and $w$ -respectively and then integrating terms by parts as necessary, the weak form -of the problem reads: Find $\mathbf u, p$ so that for all test functions -$\mathbf{v}, w$ there holds -@f{gather*} - \left( \left( \mathbf{K} \lambda_t\left(S^{(n-1)}\right) \right)^{-1} \mathbf{u}^{(n)}_t, \mathbf{v}\right)_{\Omega} - \left(p^{(n)}, \nabla \cdot \mathbf{v}\right)_{\Omega} = -\left(p^{(n)}, \mathbf{n} \cdot \mathbf{v} \right)_{\partial \Omega}, \\ - - \left( \nabla \cdot \mathbf{u}^{(n)}_t,w\right)_{\Omega} = - \big(q,w\big)_{\Omega}. -@f} -Here, $\mathbf{n}$ represents the unit outward normal vector to $\partial \Omega$ and the pressure $p^{(n+1)}$ can be prescribed weakly on the boundary $\partial \Omega$. - -We use continuous finite elements to discretize the velocity and pressure -equations. Specifically, we use mixed finite elements to ensure high order approximation -for both vector (e.g. a fluid velocity) and scalar variables (e.g. pressure) -simultaneously. For saddle point problems, it is well established that -the so-called Babuska-Brezzi or Ladyzhenskaya-Babuska-Brezzi (LBB) conditions -[Brezzi 1991, Chen 2005] need to be satisfied to ensure stability of -the pressure-velocity system. These stability conditions are satisfied in the -present work by using elements for velocity that are one order higher than for -the pressure, i.e. $u_h \in Q^d_{p+1}$ and $p_h \in Q_p$, where $p=1$, $d$ is -the space dimension, and $Q_s$ denotes the space of tensor product Lagrange -polynomials of degree $s$ in each variable. - -

Stabilization, weak form and space discretization for the saturation transport equation.

-The chosen $Q_1$ elements for the saturation equation do not lead to a stable -discretization without upwinding or other kinds of stabilization, and spurious -oscillations will appear in the numerical solution. Adding an artificial -diffusion term is is one approach to eliminating these oscillations -[Chen 2005]. On the other hand, adding too much diffusion smears sharp -fronts in the solution and suffers from grid-orientation difficulties -[Chen 2005]. To avoid these effects, we use the artificial diffusion -term proposed by [Guermond and Pasquetti 2008] and already -validated in [Chueh et al. 2010]. - -This method modifies the (discrete) weak form of the saturation equation -to read -@f{align*} - \left(\epsilon \frac{\partial S_h}{\partial t},\sigma_h\right) - - - \left(\mathbf{u}_t F\left( S_h \right), - \nabla \sigma\right) - + - \left(\mathbf n \cdot \mathbf{u}_t \hat F\left( S_h \right), - \sigma\right)_{\partial\Omega} - + - (\nu(S_h) \nabla S_h, \nabla \sigma_h) - &=0 - \qquad - \forall \sigma_h, -@f} -where $\nu$ is the artificial diffusion parameter and $\hat F$ is an -appropriately chosen numerical flux on the boundary of the domain (we choose -the obvious full upwind flux for this). - -Following [Guermond and Pasquetti 2008], we use -the parameter as a piecewise -constant function set on each cell $K$ with the diameter $h_{K}$ as -@f[ - \nu(S)|_{K} = \beta \| \mathbf{u}_t \|_{L^{\infty}(K)} \textrm{min} \left\{ h_{K},h^{\alpha}_{K} \frac{\|\textrm{Res}(S)\|_{L^{\infty}(K)}}{c(\mathbf{u}_t,S)} \right\} -@f] -where $\alpha$ is a stabilization exponent and $\beta$ is a dimensionless -user-defined stabilization constant. Following [Guermond and Pasquetti 2008] -as well as the implementation in step-31, the velocity and saturation global -normalization constant, $c(\mathbf{u}_t,S)$, and the residual $\textrm{Res}(S)$ -are respectively given by -@f[ - c(\mathbf{u}_t,S) = c_R \|\mathbf{u}_t\|_{L^{\infty}(\Omega)} \textrm{var}(S) | \textrm{diam} (\Omega) |^{\alpha - 2} -@f] -and -@f[ - \textrm{Res}(S) = \left( \epsilon \frac{\partial S}{\partial t} + \mathbf{u}_t \cdot \nabla F(S) + F(S)q \right) \cdot S^{\alpha - 1} -@f] -where $c_R$ is a second dimensionless user-defined constant, -$\textrm{diam}(\Omega)$ is the diameter of the domain and $\textrm{var}(S) = -\textrm{max}_{\Omega} S - \textrm{min}_{\Omega} S$ is the range of the present -saturation values in the entire computational domain $\Omega$. - -This stabilization scheme has a number of advantages over simpler schemes such -as finite volume (or discontinuous Galerkin) methods or streamline upwind -Petrov Galerkin (SUPG) discretizations. In particular, the artificial -diffusion term acts primarily in the vicinity of discontinuities -since the residual is small in areas where the saturation is smooth. It -therefore provides for a higher degree of accuracy. On the other hand, it is -nonlinear since $\nu$ depends on the saturation $S$. We avoid this difficulty -by treating all nonlinear terms explicitly, which leads to the following -fully discrete problem at time step $n$: -@f{align*} - &\left( \epsilon S^{(n)},\sigma\right)_{\Omega} - \Delta t^{(n)}_c \Big(F\left(S^{(n-1)}\right)\mathbf{u}^{*}_t,\nabla\sigma\Big)_{\Omega} + \Delta t^{(n)}_c \Big(F\left(S^{(n-1)}\right)\left(\mathbf{n}\cdot\mathbf{u}^{*}_t\right),\sigma\Big)_{\partial\Omega} \nonumber \\ - & \quad = \left( \epsilon S^{(n-1)},\sigma\right)_{\Omega} - \Delta t^{(n)}_c \bigg(\nu\left(S^{(n-1)}\right)\nabla S^{(n-1)},\nabla\sigma\bigg)_{\Omega} \nonumber \\ - & \qquad + \Delta t^{(n)}_c \bigg(\mathbf{n}\cdot\nu\left(S^{(n-1)}\right)\nabla S^{(n-1)},\sigma\bigg)_{\partial\Omega} -@f} -where $\mathbf{u}_t^{*}$ is the velocity linearly extrapolated from -$\mathbf{u}^{(n_p)}_t$ and $\mathbf{u}^{(n_{pp})}_t$ to the current time $t^{(n)}$ if $\theta<\theta^*$ while $\mathbf{u}_t^{*}$ is $\mathbf{u}^{(n_p)}_t$ if $\theta>\theta^*$. -Consequently, the equation is linear in $S_h^{(n)}$ and all that is required -is to solve with a mass matrix on the saturation space. - -Since the Dirichlet boundary conditions for saturation are only imposed on the -inflow boundaries, the third term on the left hand side of the equation above -needs to be split further into two parts: -@f{align*} - &\Delta t^{(n)}_c \Big(F\left(S^{(n-1)}\right)\left(\mathbf{n}\cdot\mathbf{u}^{(n)}_t\right),\sigma\Big)_{\partial\Omega} \nonumber \\ - &\qquad= \Delta t^{(n)}_c \Big(F\left(S^{(n-1)}_{(+)}\right)\left(\mathbf{n}\cdot\mathbf{u}^{(n)}_{t(+)}\right),\sigma\Big)_{\partial\Omega_{(+)}} + \Delta t^{(n)}_c \Big(F\left(S^{(n-1)}_{(-)}\right)\left(\mathbf{n}\cdot\mathbf{u}^{(n)}_{t(-)}\right),\sigma\Big)_{\partial\Omega_{(-)}} -@f} -where $\partial\Omega_{(-)} = \left\{\mathbf{x} \in \partial\Omega : \mathbf{n} - \cdot \mathbf{u}_t<0\right\}$ and -$\partial\Omega_{(+)} = \left\{\mathbf{x} \in \partial\Omega : \mathbf{n} \cdot - \mathbf{u}_t>0\right\}$ represent inflow and outflow boundaries, -respectively. We choose values using an -upwind formulation, i.e. $S^{(n-1)}_{(+)}$ and $\mathbf{u}^{(n)}_{t(+)}$ -correspond to the values taken from the present cell, while the values of -$S^{(n-1)}_{(-)}$ and $\mathbf{u}^{(n)}_{t(-)}$ are those taken from the -neighboring boundary $\partial\Omega_{(-)}$. - -

Adaptive mesh refinement.

-choosing meshes adaptively to resolve sharp -saturation fronts is an essential ingredient to achieve efficiency in our -algorithm. Here, we use the same shock-type refinement approach used in -[Chueh et al. 2010] to select those cells that should be refined or -coarsened. The refinement indicator for each cell $K$ of the triangulation is -computed by -@f[ - \eta_{K} = |\nabla S_h(\mathbf x_K)| -@f] -where $S_h(\mathbf x_K)$ is the discrete saturation variable evaluated at the -center of cell $K$. This approach is analogous to ones frequently used in -compressible flow problems, where density gradients are used to indicate -refinement. - -

Linear system and its preconditioning.

- -Following the discretization of the governing equations -discussed above, we -obtain a linear system of equations in time step $(n)$ of the following form: -@f[ - \left( - \begin{array}{ccc} - \mathbf{M}^{\mathbf{u}} & \mathbf{B}^{T} & \mathbf{0} \\ - \mathbf{B} & \mathbf{0} & \mathbf{0} \\ - \mathbf{H} & \mathbf{0} & \mathbf{M}^{S} - \end{array} - \right) - \left( - \begin{array}{c} - \mathbf{U}^{(n)} \\ - \mathbf{P}^{(n)} \\ - \mathbf{S}^{(n)} - \end{array} - \right) - = - \left( - \begin{array}{c} - 0 \\ - \mathbf{F}_{2} \\ - \mathbf{F}_{3} - \end{array} - \right) -@f] -where the individual matrices and vectors are defined as follows using shape functions $\mathbf{v}_i$ for velocity, and $\phi_i$ for both pressure and saturation: -@f{align*} - \mathbf{M}^{\mathbf{u}}_{ij} - &= \left( \left( \mathbf{K} \lambda_t\left(S^{(n-1)}\right) \right)^{-1} - \mathbf{v}_{i},\mathbf{v}_{j}\right)_{\Omega}, - & - \mathbf{M}^{S}_{ij} &= \left(\epsilon \phi_i,\phi_j\right)_{\Omega} - \\ - \mathbf{B}_{ij} - &= - \left( \nabla \cdot \mathbf{v}_{j},\phi_{i}\right)_{\Omega}, - & - \mathbf{H}_{ij} - &= - \Delta t^{(n)}_c \Big( F\left(S^{(n-1)}\right) \mathbf{v}_i,\nabla\phi_j\Big)_{\Omega} - \\ - \left(\mathbf{F}_{2}\right)_i - &= - \big(F\left(S^{(n-1)}\right)q,\phi_i\big)_{\Omega}, -@f} -and $\mathbf{F}_{3}$ as given in the definition of the stabilized transport -equation. - -The linear system above is of block triangular form if we consider the top -left $2\times 2$ panel of matrices as one block. We can therefore first solve -for the velocity and pressure (unless we decide to use $\mathbf U^{(n_p)}$ in -place of the velocity) -followed by a solve for the saturation variable. The first of these steps -requires us to solve -@f[ - \left( - \begin{array}{cc} - \mathbf{M}^{\mathbf{u}} & \mathbf{B}^{T} \\ - \mathbf{B} & \mathbf{0} - \end{array} - \right) - \left( - \begin{array}{c} - \mathbf{U}^{(n)} \\ - \mathbf{P}^{(n)} - \end{array} - \right) - = - \left( - \begin{array}{c} - 0 \\ - \mathbf{F}_{2} - \end{array} - \right) -@f] -We apply the Generalized Minimal Residual (GMRES) method [Saad and Schultz -1986] to this linear system. The ideal preconditioner for the -velocity-pressure system is -@f{align*} -\mathbf{P} = - \left( - \begin{array}{cc} - \mathbf{M}^{\mathbf{u}} & \mathbf{0} \\ - \mathbf{B} & -\mathbf{S} - \end{array} - \right), - & \qquad - \mathbf{P}^{-1} = - \left( - \begin{array}{cc} - \left(\mathbf{M}^{\mathbf{u}}\right)^{-1} & \mathbf{0} \\ - \mathbf{S}^{-1} \mathbf{B} \left(\mathbf{M}^{\mathbf{u}}\right)^{-1} & -\mathbf{S}^{-1} - \end{array} - \right) - @f} -where -$\mathbf{S}=\mathbf{B}\left(\mathbf{M}^{\mathbf{u}}\right)^{-1}\mathbf{B}^T$ is -the Schur complement [Zhang 2005] of the system. This preconditioner is -optimal since -@f{align*} - \mathbf{P}^{-1} - \left( - \begin{array}{cc} - \mathbf{M}^{\mathbf{u}} & \mathbf{B}^{T} \\ - \mathbf{B} & \mathbf{0} - \end{array} - \right) - = - \left( - \begin{array}{cc} - \mathbf{I} & \left(\mathbf{M}^{\mathbf{u}}\right)^{-1} \mathbf{B}^{T} \\ - \mathbf{0} & \mathbf{I} - \end{array} - \right), -@f} -and consequently all eigenvalues are equal to one. GMRES with this -preconditioner would then converge in one iteration. - -However, we cannot of course expect to use exact inverses of the -velocity mass matrix and the Schur complement. We therefore follow the -approach by [Silvester and Wathen 1994] originally proposed for -the Stokes system. Adapting it to the current set of equations yield the -preconditioner -@f{align*} - \mathbf{\tilde{P}}^{-1} = - \left( - \begin{array}{cc} - \widetilde{\left(\mathbf{{M}}^{\mathbf{u}}\right)^{-1}} - & \mathbf{0} \\ - \widetilde{\mathbf{{S}}^{-1}} \mathbf{B} \widetilde{\left(\mathbf{{M}}^{\mathbf{u}}\right)^{-1}} & -\widetilde{\mathbf{{S}}^{-1}} - \end{array} - \right) -@f} -where a tilde indicates an approximation of the exact inverse matrix. In -particular, since $\left(\mathbf{{M}}^{\mathbf{u}}\right)^{-1}=\left( \left( - \mathbf{K} \lambda_t \right)^{-1} - \mathbf{v}_{i},\mathbf{v}_{j}\right)_{\Omega}$ -is a sparse symmetric and positive definite matrix, we choose for -$\widetilde{\left(\mathbf{{M}}^{\mathbf{u}}\right)^{-1}}$ a single application of -a sparse incomplete Cholesky decomposition of this matrix -[Golub and Van Loan 1996]. -We note that the Schur complement that corresponds to the porous -media flow operator in non-mixed form, $-\nabla \cdot [\mathbf K -\lambda_t(S)]\nabla$ and -$\mathbf{\tilde {S}} = \left( \left( \mathbf{K} \lambda_t \right) \nabla \phi_{i},\nabla \phi_{j}\right)_{\Omega}$ -should be a good approximation of the actual Schur complement matrix $\mathbf -S$. Since both of these matrices are again symmetric and positive definite, we -use an incomplete Cholesky decomposition of $\mathbf{\tilde S}$ for $\widetilde -{\mathbf{{S}}^{-1}}$. It is important to note that $\mathbf{\tilde S}$ needs -to be built with Dirichlet boundary conditions to ensure its invertibility. - -Once the velocity is available $\mathbf{U}^{(n)} \equiv \mathbf{u}^*_t$ (see -[Chueh et al. 2010]), we can assemble $\mathbf{H}$ and -$\mathbf{F}_{3}$ and solve for the saturations using -@f{align*} - \mathbf{M}^{S} \mathbf{S}^{(n)} = \mathbf{F}_{3} - \mathbf{H} \mathbf{U}^{(n)}. -@f} -where the mass matrix $\mathbf{M}^{S}$ is solved by the conjugate gradient -method, using an incomplete Cholesky decomposition as preconditioner once -more. - -

The test cases.

-The implementation discussed here uses and extends -parts of the step-21, step-31 and step-33 tutorial programs of this library. We -use the implementation of the incomplete Cholesky decomposition provided by -the Trilinos library (see [Trilinos 2004]). - -We show numerical results that illustrate the -efficiency and accuracy of our combined methods in solving the two-phase flow equations -augmented by -appropriate initial and boundary in conjunction with two different choices of the -permeability model. In the problems considered, there is no internal source term ($q=0$). - -For simplicity, we choose $\Omega=[0,1]^d,d=2,3$, though all methods (as well -as our implementation) should work equally well on general unstructured meshes. - -Initial conditions are only required for the saturation variable, and we -choose $S(\mathbf{x},0)=0$, i.e. the porous medium is initially filled by the -non-wetting phase. We prescribe a linear pressure on the boundaries: -@f[ - p(\mathbf{x},t) = 1 - x \qquad - \textrm{on} \quad \partial \Omega \times [0,T]. -@f] -Pressure and saturation uniquely -determine a velocity, and the velocity determines whether a boundary segment -is an inflow or outflow boundary. On the inflow part of the boundary, -$\mathbf{\Gamma}_{in}(t)$, we impose -@f{align*} - S(\mathbf{x},t) = 1 \qquad & \textrm{on} \quad \mathbf{\Gamma}_{in}(t) \cap \left\{x = 0\right\}, \\ - S(\mathbf{x},t) = 0 \qquad & \textrm{on} \quad \mathbf{\Gamma}_{in}(t) \backslash \left\{x = 0\right\}. -@f} -In other words, the domain is flooded by the wetting phase from the left. -No boundary conditions for the saturation are required for the outflow parts -of the boundary. - -All the numerical and physical parameters used for the 2D/3D -cases are listed in the following table: - - - - - - - - - - - - -
PARAMETER SYMBOL VALUE UNIT
Porosity $\epsilon$ 1.0 -
Viscosity (wetting) $\mu_w$ 0.2 $kg \cdot m^{-1} \cdot sec^{-1}$
Viscosity (nonwetting) $\mu_{nw}$ 1.0 $kg \cdot m^{-1} \cdot sec^{-1}$
Stabilization exponent $\alpha$ 1.0 -
Stabilization constant $\beta$ 2D: 0.3; 3D: 0.27 -
Normalization constant $c_R$ 1.0 -
Number of high-permeability regions $N$ 50; 200 -
Operator splitting threshold $\theta^\ast$ 5.0 -
- - -

List of references

- - -
    -
  1. -CC Chueh, W Bangerth, and N Djilali. -
    An h-adaptive operator splitting method for two-phase flow in 3D - heterogeneous porous media. -
    Submitted to Communications in Computational Physics. - -
  2. -F Brezzi and M Fortin. -
    Mixed and Hybrid Finite Element Methods. -
    Springer-Verlag, 1991. - -
  3. -Z Chen. -
    Finite Element Methods and Their Applications. -
    Springer, 2005. - -
  4. -JL Guermond and R Pasquetti. -
    Entropy-based nonlinear viscosity for fourier approximations of - conservation laws. -
    Comptes Rendus Mathematique, 346(13-14):801-806, 2008. - -
  5. -CC Chueh, M Secanell, W Bangerth, and N Djilali. -
    Multi-level adaptive simulation of transient two-phase flow in - heterogeneous porous media. -
    Computers and Fluids, 39:1585-1596, 2010. - -
  6. -Y Saad and MH Schultz. -
    Gmres: A generalized minimal residual algorithm for solving - nonsymmetric linear systems. -
    SIAM Journal on Scientific and Statistical Computing, - 7(3):856-869, 1986. - -
  7. -F Zhang. -
    The Schur Complement and its Applications. -
    Springer, 2005. - -
  8. -D Silvester and A Wathen. -
    Fast iterative solution of stabilised Stokes systems part ii: Using - general block preconditioners. -
    SIAM Journal on Numerical Analysis, 31(5):1352-1367, 1994. - -
  9. -GH Golub and CF van Loan. -
    Matrix Computations. -
    3rd Edition, Johns Hopkins, 1996. - -
  10. -MA Heroux, RA Bartlett, VE Howle, RJ Hoekstra, JJ Hu, TG Kolda, RB Lehoucq, - KR Long, RP Pawlowski, ET Phipps, AG Salinger, HK Thornquist, RS Tuminaro, - JM Willenbring, A Williams, and KS Stanley. -
    An overview of the trilinos project. -
    ACM Trans. Math. Softw., 31(3):397-423, 2005. - -
  11. -SE Buckley and MC Leverett. -
    Mechanism of fluid displacements in sands. -
    AIME Trans., 146:107-116, 1942. - -
diff --git a/deal.II/examples/step-43/doc/kind b/deal.II/examples/step-43/doc/kind deleted file mode 100644 index e62f4e7222..0000000000 --- a/deal.II/examples/step-43/doc/kind +++ /dev/null @@ -1 +0,0 @@ -fluids diff --git a/deal.II/examples/step-43/doc/results.dox b/deal.II/examples/step-43/doc/results.dox deleted file mode 100644 index b5eaba9377..0000000000 --- a/deal.II/examples/step-43/doc/results.dox +++ /dev/null @@ -1,2 +0,0 @@ -

Results

- diff --git a/deal.II/examples/step-43/doc/tooltip b/deal.II/examples/step-43/doc/tooltip deleted file mode 100644 index 48a5223056..0000000000 --- a/deal.II/examples/step-43/doc/tooltip +++ /dev/null @@ -1 +0,0 @@ -Efficient ways to solve two-phase flow problems on adaptive meshes in 2d and 3d. diff --git a/deal.II/examples/step-43/step-43.cc b/deal.II/examples/step-43/step-43.cc deleted file mode 100644 index feb9f2a8cf..0000000000 --- a/deal.II/examples/step-43/step-43.cc +++ /dev/null @@ -1,2548 +0,0 @@ -/* $Id$ */ -/* Author: Chih-Che Chueh, University of Victoria, 2010 */ -/* Wolfgang Bangerth, Texas A&M University, 2010 */ - -/* $Id$ */ -/* */ -/* Copyright (C) 2010, 2011 by Chih-Che Chueh and the deal.II authors */ -/* */ -/* This file is subject to QPL and may not be distributed */ -/* without copyright and license information. Please refer */ -/* to the file deal.II/doc/license.html for the text and */ -/* further information on this license. */ - - - // @sect3{Include files} - - // The first step, as always, is to include - // the functionality of these well-known - // deal.II library files and some C++ header - // files. - // - // In this program, we use a tensor-valued - // coefficient. Since it may have a spatial - // dependence, we consider it a tensor-valued - // function. The following include file - // provides the TensorFunction class that - // offers such functionality: - // - // Then we need to include some header files - // that provide vector, matrix, and - // preconditioner classes that implement - // interfaces to the respective Trilinos - // classes, which has been used in - // step-31. In particular, we will need - // interfaces to the matrix and vector - // classes based on Trilinos as well as - // Trilinos preconditioners: - // - // At the end of this top-matter, we import - // all deal.II names into the global - // namespace: -#include -#include -#include -#include -#include - -#include -#include -#include -#include -#include - -#include -#include -#include -#include -#include - -#include -#include -#include -#include - -#include -#include -#include - -#include -#include -#include - -#include -#include -#include -#include -#include - -#include -#include - -namespace Step43 -{ - using namespace dealii; - - - // @sect3{The InverseMatrix class template} - - // This part is exactly the same as that used in step-31. - - // @sect3{Schur complement preconditioner} - - // This part for the Schur complement - // preconditioner is almost the same as that - // used in step-31. The only difference is - // that the original variable name - // stokes_matrix is replaced by another name - // darcy_matrix to satisfy our problem. - namespace LinearSolvers - { - template - class InverseMatrix : public Subscriptor - { - public: - InverseMatrix (const Matrix &m, - const Preconditioner &preconditioner); - - - template - void vmult (VectorType &dst, - const VectorType &src) const; - - private: - const SmartPointer matrix; - const Preconditioner &preconditioner; - }; - - - template - InverseMatrix:: - InverseMatrix (const Matrix &m, - const Preconditioner &preconditioner) - : - matrix (&m), - preconditioner (preconditioner) - {} - - - - template - template - void - InverseMatrix:: - vmult (VectorType &dst, - const VectorType &src) const - { - SolverControl solver_control (src.size(), 1e-7*src.l2_norm()); - SolverCG cg (solver_control); - - dst = 0; - - try - { - cg.solve (*matrix, dst, src, preconditioner); - } - catch (std::exception &e) - { - Assert (false, ExcMessage(e.what())); - } - } - - template - class BlockSchurPreconditioner : public Subscriptor - { - public: - BlockSchurPreconditioner ( - const TrilinosWrappers::BlockSparseMatrix &S, - const InverseMatrix &Mpinv, - const PreconditionerA &Apreconditioner); - - void vmult (TrilinosWrappers::BlockVector &dst, - const TrilinosWrappers::BlockVector &src) const; - - private: - const SmartPointer darcy_matrix; - const SmartPointer > m_inverse; - const PreconditionerA &a_preconditioner; - - mutable TrilinosWrappers::Vector tmp; - }; - - - - template - BlockSchurPreconditioner:: - BlockSchurPreconditioner(const TrilinosWrappers::BlockSparseMatrix &S, - const InverseMatrix &Mpinv, - const PreconditionerA &Apreconditioner) - : - darcy_matrix (&S), - m_inverse (&Mpinv), - a_preconditioner (Apreconditioner), - tmp (darcy_matrix->block(1,1).m()) - {} - - - template - void BlockSchurPreconditioner::vmult ( - TrilinosWrappers::BlockVector &dst, - const TrilinosWrappers::BlockVector &src) const - { - a_preconditioner.vmult (dst.block(0), src.block(0)); - darcy_matrix->block(1,0).residual(tmp, dst.block(0), src.block(1)); - tmp *= -1; - m_inverse->vmult (dst.block(1), tmp); - } - } - - - // @sect3{The TwoPhaseFlowProblem class} - - // The definition of the class that defines - // the top-level logic of solving the - // time-dependent advection-dominated - // two-phase flow problem (or - // Buckley-Leverett problem - // [Buckley 1942]) is mainly based on - // three tutorial programs (step-21, step-31, - // step-33). The main difference is that, - // since adaptive operator splitting is - // considered, we need a bool-type variable - // solve_pressure_velocity_part to tell us - // when we need to solve the pressure and - // velocity part, need another bool-type - // variable - // previous_solve_pressure_velocity_part to - // determine if we have to cumulate - // micro-time steps that we need them to do - // extrapolation for the total velocity, and - // some solution vectors - // (e.g. nth_darcy_solution_after_solving_pressure_part - // and - // n_minus_oneth_darcy_solution_after_solving_pressure_part) - // to store some solutions in previous time - // steps after the solution of the pressure - // and velocity part. - // - // The member functions within this class - // have been named so properly so that - // readers can easily understand what they - // are doing. - // - // Like step-31, this tutorial uses two - // DoFHandler objects for the darcy system - // (presure and velocity) and - // saturation. This is because we want it to - // run faster, which reasons have been - // described in step-31. - // - // There is yet another important thing: - // unlike step-31. this step uses one more - // ConstraintMatrix object called - // darcy_preconditioner_constraints. This - // constraint object only for assembling the - // matrix for darcy preconditioner includes - // hanging node constrants as well as - // Dirichlet boundary value - // constraints. Without this constraint - // object for the preconditioner, we cannot - // get the convergence results when we solve - // darcy linear system. - // - // The last one variable indicates whether - // the matrix needs to be rebuilt the next - // time the corresponding build functions are - // called. This allows us to move the - // corresponding if into the function and - // thereby keeping our main run() function - // clean and easy to read. - template - class TwoPhaseFlowProblem - { - public: - TwoPhaseFlowProblem (const unsigned int degree); - void run (); - - private: - void setup_dofs (); - void assemble_darcy_preconditioner (); - void build_darcy_preconditioner (); - void assemble_darcy_system (); - void assemble_saturation_system (); - void assemble_saturation_matrix (); - void assemble_saturation_rhs (); - void assemble_saturation_rhs_cell_term (const FEValues &saturation_fe_values, - const FEValues &darcy_fe_values, - const std::vector &local_dof_indices, - const double global_u_infty, - const double global_S_variation, - const double global_Omega_diameter); - void assemble_saturation_rhs_boundary_term (const FEFaceValues &saturation_fe_face_values, - const FEFaceValues &darcy_fe_face_values, - const std::vector &local_dof_indices); - double get_maximal_velocity () const; - std::pair get_extrapolated_saturation_range () const; - void solve (); - bool determine_whether_to_solve_pressure_velocity_part () const; - void compute_refinement_indicators (Vector &indicator) const; - void refine_grid (const Vector &indicator); - void project_back_saturation (); - void output_results () const; - - static - double - compute_viscosity(const std::vector &old_saturation, - const std::vector &old_old_saturation, - const std::vector > &old_saturation_grads, - const std::vector > &old_old_saturation_grads, - const std::vector > &present_darcy_values, - const double global_u_infty, - const double global_S_variation, - const double global_Omega_diameter, - const double cell_diameter, - const double old_time_step, - const double viscosity); - - - const unsigned int degree; - - Triangulation triangulation; - - const unsigned int darcy_degree; - FESystem darcy_fe; - DoFHandler darcy_dof_handler; - ConstraintMatrix darcy_constraints; - - ConstraintMatrix darcy_preconditioner_constraints; - - TrilinosWrappers::BlockSparseMatrix darcy_matrix; - TrilinosWrappers::BlockSparseMatrix darcy_preconditioner_matrix; - - TrilinosWrappers::BlockVector darcy_solution; - TrilinosWrappers::BlockVector darcy_rhs; - - TrilinosWrappers::BlockVector nth_darcy_solution_after_solving_pressure_part; - TrilinosWrappers::BlockVector n_minus_oneth_darcy_solution_after_solving_pressure_part; - - const unsigned int saturation_degree; - FE_Q saturation_fe; - DoFHandler saturation_dof_handler; - ConstraintMatrix saturation_constraints; - - TrilinosWrappers::SparseMatrix saturation_matrix; - - TrilinosWrappers::Vector predictor_saturation_solution; - TrilinosWrappers::Vector saturation_solution; - TrilinosWrappers::Vector old_saturation_solution; - TrilinosWrappers::Vector old_old_saturation_solution; - TrilinosWrappers::Vector saturation_rhs; - - TrilinosWrappers::Vector nth_saturation_solution_after_solving_pressure_part; - - const unsigned int n_refinement_steps; - bool solve_pressure_velocity_part; - bool previous_solve_pressure_velocity_part; - - const double saturation_level; - const double saturation_value; - - double n_minus_oneth_time_step; - double cumulative_nth_time_step; - - double time_step; - double old_time_step; - unsigned int timestep_number; - double viscosity; - - std_cxx1x::shared_ptr Amg_preconditioner; - std_cxx1x::shared_ptr Mp_preconditioner; - - bool rebuild_saturation_matrix; - }; - - - // @sect3{Pressure right hand side, Pressure boundary values and saturation initial value classes} - - // This part is directly taken from step-21 - // so there is no need to repeat the same - // descriptions. - template - class PressureRightHandSide : public Function - { - public: - PressureRightHandSide () : Function(1) {} - - virtual double value (const Point &p, - const unsigned int component = 0) const; - }; - - - - template - double - PressureRightHandSide::value (const Point &/*p*/, - const unsigned int /*component*/) const - { - return 0; - } - - - template - class PressureBoundaryValues : public Function - { - public: - PressureBoundaryValues () : Function(1) {} - - virtual double value (const Point &p, - const unsigned int component = 0) const; - }; - - - template - double - PressureBoundaryValues::value (const Point &p, - const unsigned int /*component*/) const - { - return 1-p[0]; - } - - - template - class SaturationBoundaryValues : public Function - { - public: - SaturationBoundaryValues () : Function(1) {} - - virtual double value (const Point &p, - const unsigned int component = 0) const; - }; - - - - template - double - SaturationBoundaryValues::value (const Point &p, - const unsigned int /*component*/) const - { - if (p[0] == 0) - return 1; - else - return 0; - } - - - template - class SaturationInitialValues : public Function - { - public: - SaturationInitialValues () : Function(1) {} - - virtual double value (const Point &p, - const unsigned int component = 0) const; - - virtual void vector_value (const Point &p, - Vector &value) const; - - }; - - - template - double - SaturationInitialValues::value (const Point &/*p*/, - const unsigned int /*component*/) const - { - return 0; - } - - - template - void - SaturationInitialValues::vector_value (const Point &p, - Vector &values) const - { - for (unsigned int c=0; cn_components; ++c) - values(c) = SaturationInitialValues::value (p,c); - } - - - // @sect3{Permeability models} - - // In this tutorial, we still use two - // permeability models previous used in - // step-21 so we refrain from excessive - // comments about them. But we want to note - // that if ones use the Random Medium model, - // they can change one parameter called the - // number of high-permeability regions/points - // to increase the amount of permeability in - // the computational domain. - namespace SingleCurvingCrack - { - template - class KInverse : public TensorFunction<2,dim> - { - public: - KInverse () - : - TensorFunction<2,dim> () - {} - - virtual void value_list (const std::vector > &points, - std::vector > &values) const; - }; - - - template - void - KInverse::value_list (const std::vector > &points, - std::vector > &values) const - { - Assert (points.size() == values.size(), - ExcDimensionMismatch (points.size(), values.size())); - - for (unsigned int p=0; p - class KInverse : public TensorFunction<2,dim> - { - public: - KInverse () - : - TensorFunction<2,dim> () - {} - - virtual void value_list (const std::vector > &points, - std::vector > &values) const; - - private: - static std::vector > centers; - - static std::vector > get_centers (); - }; - - - - template - std::vector > - KInverse::centers = KInverse::get_centers(); - - - template - std::vector > - KInverse::get_centers () - { - const unsigned int N = (dim == 2 ? - 40 : - (dim == 3 ? - 100 : - throw ExcNotImplemented())); - - std::vector > centers_list (N); - for (unsigned int i=0; i(rand())/RAND_MAX; - - return centers_list; - } - - - - template - void - KInverse::value_list (const std::vector > &points, - std::vector > &values) const - { - Assert (points.size() == values.size(), - ExcDimensionMismatch (points.size(), values.size())); - - for (unsigned int p=0; p::TwoPhaseFlowProblem} - - // The constructor of this class is an - // extension of the constructor in step-21 - // and step-31. We need to add the various - // variables that concern the saturation. As - // discussed in the introduction, we are - // going to use $Q_2 \times Q_1$ - // (Taylor-Hood) elements again for the darcy - // system, which element combination fulfills - // the Ladyzhenskaya-Babuska-Brezzi (LBB) - // conditions - // [Brezzi and Fortin 1991, Chen 2005], and $Q_1$ - // elements for the saturation. However, by - // using variables that store the polynomial - // degree of the darcy and temperature finite - // elements, it is easy to consistently - // modify the degree of the elements as well - // as all quadrature formulas used on them - // downstream. Moreover, we initialize the - // time stepping, variables related to - // operator splitting as well as the option - // for matrix assembly and preconditioning: - template - TwoPhaseFlowProblem::TwoPhaseFlowProblem (const unsigned int degree) - : - degree (degree), - darcy_degree (degree), - darcy_fe (FE_Q(darcy_degree+1), dim, - FE_Q(darcy_degree), 1), - darcy_dof_handler (triangulation), - - saturation_degree (degree), - saturation_fe (saturation_degree), - saturation_dof_handler (triangulation), - - n_refinement_steps (4), - solve_pressure_velocity_part (false), - previous_solve_pressure_velocity_part (false), - - saturation_level (2), - saturation_value (0.5), - - time_step (0), - old_time_step (0), - viscosity (0.2), - - rebuild_saturation_matrix (true) - {} - - - // @sect3{TwoPhaseFlowProblem::setup_dofs} - - // This is the function that sets up the - // DoFHandler objects we have here (one for - // the darcy part and one for the saturation - // part) as well as set to the right sizes - // the various objects required for the - // linear algebra in this program. Its basic - // operations are similar to what authors in - // step-31 did. - // - // The body of the function first enumerates - // all degrees of freedom for the darcy and - // saturation systems. For the darcy part, - // degrees of freedom are then sorted to - // ensure that velocities precede pressure - // DoFs so that we can partition the darcy - // matrix into a $2 \times 2$ matrix. Like - // step-31, the present step does not perform - // any additional DoF renumbering. - // - // Then, we need to incorporate hanging node - // constraints and Dirichlet boundary value - // constraints into - // darcy_preconditioner_constraints. However, - // this constraints are only set to the - // pressure component since the Schur - // complement preconditioner that corresponds - // to the porous media flow operator in - // non-mixed form, $-\nabla \cdot [\mathbf K - // \lambda_t(S)]\nabla$. Therefore, we use a - // component_mask that filters out the - // velocity component, so that the - // condensation is performed on pressure - // degrees of freedom only. - // - // After having done so, we count the number - // of degrees of freedom in the various - // blocks: - // - // The next step is to create the sparsity - // pattern for the darcy and saturation - // system matrices as well as the - // preconditioner matrix from which we build - // the darcy preconditioner. As in step-31, - // we choose to create the pattern not as in - // the first few tutorial programs, but by - // using the blocked version of - // CompressedSimpleSparsityPattern. The - // reason for doing this is mainly memory, - // that is, the SparsityPattern class would - // consume too much memory when used in three - // spatial dimensions as we intend to do for - // this program. So, for this, we follow the - // same way as step-31 did and we don't have - // to repeat descriptions again for the rest - // of the member function. - template - void TwoPhaseFlowProblem::setup_dofs () - { - std::vector darcy_block_component (dim+1,0); - darcy_block_component[dim] = 1; - { - darcy_dof_handler.distribute_dofs (darcy_fe); - DoFRenumbering::Cuthill_McKee (darcy_dof_handler); - DoFRenumbering::component_wise (darcy_dof_handler, darcy_block_component); - - darcy_constraints.clear (); - DoFTools::make_hanging_node_constraints (darcy_dof_handler, darcy_constraints); - darcy_constraints.close (); - } - { - saturation_dof_handler.distribute_dofs (saturation_fe); - - saturation_constraints.clear (); - DoFTools::make_hanging_node_constraints (saturation_dof_handler, saturation_constraints); - saturation_constraints.close (); - } - { - darcy_preconditioner_constraints.clear (); - - std::vector component_mask (dim+1, false); - component_mask[dim] = true; - - - DoFTools::make_hanging_node_constraints (darcy_dof_handler, darcy_preconditioner_constraints); - DoFTools::make_zero_boundary_constraints (darcy_dof_handler, darcy_preconditioner_constraints, component_mask); - - darcy_preconditioner_constraints.close (); - } - - - std::vector darcy_dofs_per_block (2); - DoFTools::count_dofs_per_block (darcy_dof_handler, darcy_dofs_per_block, darcy_block_component); - const unsigned int n_u = darcy_dofs_per_block[0], - n_p = darcy_dofs_per_block[1], - n_s = saturation_dof_handler.n_dofs(); - - std::cout << "Number of active cells: " - << triangulation.n_active_cells() - << " (on " - << triangulation.n_levels() - << " levels)" - << std::endl - << "Number of degrees of freedom: " - << n_u + n_p + n_s - << " (" << n_u << '+' << n_p << '+'<< n_s <<')' - << std::endl - << std::endl; - - { - darcy_matrix.clear (); - - BlockCompressedSimpleSparsityPattern csp (2,2); - - csp.block(0,0).reinit (n_u, n_u); - csp.block(0,1).reinit (n_u, n_p); - csp.block(1,0).reinit (n_p, n_u); - csp.block(1,1).reinit (n_p, n_p); - - csp.collect_sizes (); - - Table<2,DoFTools::Coupling> coupling (dim+1, dim+1); - - for (unsigned int c=0; c coupling (dim+1, dim+1); - for (unsigned int c=0; c::assemble_darcy_preconditioner} - - // This function assembles the matrix we use - // for preconditioning the darcy system. What - // we need are a vector matrix weighted by - // $\left(\mathbf{K} \lambda_t\right)^{-1}$ - // on the velocity components and a mass - // matrix weighted by $\left(\mathbf{K} - // \lambda_t\right)$ on the pressure - // component. We start by generating a - // quadrature object of appropriate order, - // the FEValues object that can give values - // and gradients at the quadrature points - // (together with quadrature weights). Next - // we create data structures for the cell - // matrix and the relation between local and - // global DoFs. The vectors phi_u and - // grad_phi_p are going to hold the values of - // the basis functions in order to faster - // build up the local matrices, as was - // already done in step-22. Before we start - // the loop over all active cells, we have to - // specify which components are pressure and - // which are velocity. - // - // The creation of the local matrix is rather - // simple. There are only a term weighted by - // $\left(\mathbf{K} \lambda_t\right)^{-1}$ - // (on the velocity) and a mass matrix - // weighted by $\left(\mathbf{K} - // \lambda_t\right)$ to be generated, so the - // creation of the local matrix is done in - // two lines. Once the local matrix is ready - // (loop over rows and columns in the local - // matrix on each quadrature point), we get - // the local DoF indices and write the local - // information into the global matrix. We do - // this by directly applying the constraints - // (i.e. darcy_preconditioner_constraints) - // from hanging nodes locally and Dirichlet - // boundary conditions with zero values. By - // doing so, we don't have to do that - // afterwards, and we don't also write into - // entries of the matrix that will actually - // be set to zero again later when - // eliminating constraints. - template - void - TwoPhaseFlowProblem::assemble_darcy_preconditioner () - { - std::cout << " Rebuilding darcy preconditioner..." << std::endl; - - darcy_preconditioner_matrix = 0; - - const QGauss quadrature_formula(darcy_degree+2); - FEValues darcy_fe_values (darcy_fe, quadrature_formula, - update_JxW_values | - update_values | - update_gradients | - update_quadrature_points); - FEValues saturation_fe_values (saturation_fe, quadrature_formula, - update_values); - - const unsigned int dofs_per_cell = darcy_fe.dofs_per_cell; - const unsigned int n_q_points = quadrature_formula.size(); - - const RandomMedium::KInverse k_inverse; -// const SingleCurvingCrack::KInverse k_inverse; - - std::vector > k_inverse_values (n_q_points); - Tensor<2,dim> k_value; - - std::vector old_saturation_values (n_q_points); - - FullMatrix local_matrix (dofs_per_cell, dofs_per_cell); - std::vector local_dof_indices (dofs_per_cell); - - std::vector > phi_u (dofs_per_cell); - std::vector > grad_phi_p (dofs_per_cell); - - const FEValuesExtractors::Vector velocities (0); - const FEValuesExtractors::Scalar pressure (dim); - - typename DoFHandler::active_cell_iterator - cell = darcy_dof_handler.begin_active(), - endc = darcy_dof_handler.end(); - typename DoFHandler::active_cell_iterator - saturation_cell = saturation_dof_handler.begin_active(); - - for (; cell!=endc; ++cell, ++saturation_cell) - { - darcy_fe_values.reinit (cell); - saturation_fe_values.reinit (saturation_cell); - - local_matrix = 0; - - saturation_fe_values.get_function_values (old_saturation_solution, old_saturation_values); - - k_inverse.value_list (darcy_fe_values.get_quadrature_points(), - k_inverse_values); - - for (unsigned int q=0; qget_dof_indices (local_dof_indices); - darcy_preconditioner_constraints.distribute_local_to_global (local_matrix, - local_dof_indices, - darcy_preconditioner_matrix); - } - } - - - // @sect3{TwoPhaseFlowProblem::build_darcy_preconditioner} - - // This function generates the inner - // preconditioners that are going to be used - // for the Schur complement block - // preconditioner. The preconditioners need - // to be regenerated at every saturation time - // step since they contain the independent - // variables saturation $S$ with time. - // - // Next, we set up the preconditioner for the - // velocity-velocity matrix - // $\mathbf{M}^{\mathbf{u}}$ and the Schur - // complement $\mathbf{S}$. As explained in - // the introduction, we are going to use an - // IC preconditioner based on a vector matrix - // (which is spectrally close to the darcy - // matrix $\mathbf{M}^{\mathbf{u}}$) and - // another based on a Laplace vector matrix - // (which is spectrally close to the - // non-mixed pressure matrix - // $\mathbf{S}$). Usually, the - // TrilinosWrappers::PreconditionIC class can - // be seen as a good black-box preconditioner - // which does not need any special knowledge. - template - void - TwoPhaseFlowProblem::build_darcy_preconditioner () - { - assemble_darcy_preconditioner (); - - Amg_preconditioner = std_cxx1x::shared_ptr - (new TrilinosWrappers::PreconditionIC()); - Amg_preconditioner->initialize(darcy_preconditioner_matrix.block(0,0)); - - Mp_preconditioner = std_cxx1x::shared_ptr - (new TrilinosWrappers::PreconditionIC()); - Mp_preconditioner->initialize(darcy_preconditioner_matrix.block(1,1)); - - } - - - // @sect3{TwoPhaseFlowProblem::assemble_darcy_system} - - // This is the function that assembles the - // linear system for the darcy system. - // - // Regarding the technical details of - // implementation, the procedures are similar - // to those in step-22 and step-31 we reset - // matrix and vector, create a quadrature - // formula on the cells, and then create the - // respective FEValues object. For the update - // flags, we require basis function - // derivatives only in case of a full - // assembly, since they are not needed for - // the right hand side; as always, choosing - // the minimal set of flags depending on what - // is currently needed makes the call to - // FEValues::reinit further down in the - // program more efficient. - // - // There is one thing that needs to be - // commented ¡V since we have a separate - // finite element and DoFHandler for the - // saturation, we need to generate a second - // FEValues object for the proper evaluation - // of the saturation solution. This isn't too - // complicated to realize here: just use the - // saturation structures and set an update - // flag for the basis function values which - // we need for evaluation of the saturation - // solution. The only important part to - // remember here is that the same quadrature - // formula is used for both FEValues objects - // to ensure that we get matching information - // when we loop over the quadrature points of - // the two objects. - // - // The declarations proceed with some - // shortcuts for array sizes, the creation of - // the local matrix, right hand side as well - // as the vector for the indices of the local - // dofs compared to the global system. - // - // Note that in its present form, the - // function uses the permeability implemented - // in the RandomMedium::KInverse - // class. Switching to the single curved - // crack permeability function is as simple - // as just changing the namespace name. - // - // Here's the an important step: we have to - // get the values of the saturation function - // of the previous time step at the - // quadrature points. To this end, we can use - // the FEValues::get_function_values - // (previously already used in step-9, - // step-14 and step-15), a function that - // takes a solution vector and returns a list - // of function values at the quadrature - // points of the present cell. In fact, it - // returns the complete vector-valued - // solution at each quadrature point, - // i.e. not only the saturation but also the - // velocities and pressure: - // - // Next we need a vector that will contain - // the values of the saturation solution at - // the previous time level at the quadrature - // points to assemble the source term in the - // right hand side of the momentum - // equation. Let's call this vector - // old_saturation_values. - // - // The set of vectors we create next hold the - // evaluations of the basis functions as well - // as their gradients and symmetrized - // gradients that will be used for creating - // the matrices. Putting these into their own - // arrays rather than asking the FEValues - // object for this information each time it - // is needed is an optimization to accelerate - // the assembly process, see step-22 for - // details. - // - // The last two declarations are used to - // extract the individual blocks (velocity, - // pressure, saturation) from the total FE - // system. - // - // Now start the loop over all cells in the - // problem. We are working on two different - // DoFHandlers for this assembly routine, so - // we must have two different cell iterators - // for the two objects in use. This might - // seem a bit peculiar, since both the darcy - // system and the saturation system use the - // same grid, but that's the only way to keep - // degrees of freedom in sync. The first - // statements within the loop are again all - // very familiar, doing the update of the - // finite element data as specified by the - // update flags, zeroing out the local arrays - // and getting the values of the old solution - // at the quadrature points. Then we are - // ready to loop over the quadrature points - // on the cell. - // - // Once this is done, we start the loop over - // the rows and columns of the local matrix - // and feed the matrix with the relevant - // products. - // - // The last step in the loop over all cells - // is to enter the local contributions into - // the global matrix and vector structures to - // the positions specified in - // local_dof_indices. Again, we let the - // ConstraintMatrix class do the insertion of - // the cell matrix elements to the global - // matrix, which already condenses the - // hanging node constraints. - template - void TwoPhaseFlowProblem::assemble_darcy_system () - { - darcy_matrix = 0; - darcy_rhs = 0; - - QGauss quadrature_formula(darcy_degree+2); - QGauss face_quadrature_formula(darcy_degree+2); - - FEValues darcy_fe_values (darcy_fe, quadrature_formula, - update_values | update_gradients | - update_quadrature_points | update_JxW_values); - - FEValues saturation_fe_values (saturation_fe, quadrature_formula, - update_values); - - FEFaceValues darcy_fe_face_values (darcy_fe, face_quadrature_formula, - update_values | update_normal_vectors | - update_quadrature_points | update_JxW_values); - - const unsigned int dofs_per_cell = darcy_fe.dofs_per_cell; - - const unsigned int n_q_points = quadrature_formula.size(); - const unsigned int n_face_q_points = face_quadrature_formula.size(); - - FullMatrix local_matrix (dofs_per_cell, dofs_per_cell); - Vector local_rhs (dofs_per_cell); - - std::vector local_dof_indices (dofs_per_cell); - - const PressureRightHandSide pressure_right_hand_side; - const PressureBoundaryValues pressure_boundary_values; - const RandomMedium::KInverse k_inverse; -// const SingleCurvingCrack::KInverse k_inverse; - - std::vector pressure_rhs_values (n_q_points); - std::vector boundary_values (n_face_q_points); - std::vector > k_inverse_values (n_q_points); - - std::vector old_saturation_values (n_q_points); - - std::vector > phi_u (dofs_per_cell); - std::vector div_phi_u (dofs_per_cell); - std::vector phi_p (dofs_per_cell); - - const FEValuesExtractors::Vector velocities (0); - const FEValuesExtractors::Scalar pressure (dim); - - typename DoFHandler::active_cell_iterator - cell = darcy_dof_handler.begin_active(), - endc = darcy_dof_handler.end(); - typename DoFHandler::active_cell_iterator - saturation_cell = saturation_dof_handler.begin_active(); - - for (; cell!=endc; ++cell, ++saturation_cell) - { - darcy_fe_values.reinit (cell); - saturation_fe_values.reinit (saturation_cell); - - local_matrix = 0; - local_rhs = 0; - - saturation_fe_values.get_function_values (old_saturation_solution, old_saturation_values); - - pressure_right_hand_side.value_list (darcy_fe_values.get_quadrature_points(), - pressure_rhs_values); - k_inverse.value_list (darcy_fe_values.get_quadrature_points(), - k_inverse_values); - - for (unsigned int q=0; q::faces_per_cell; - ++face_no) - if (cell->at_boundary(face_no)) - { - darcy_fe_face_values.reinit (cell, face_no); - - pressure_boundary_values - .value_list (darcy_fe_face_values.get_quadrature_points(), - boundary_values); - - for (unsigned int q=0; q - phi_i_u = darcy_fe_face_values[velocities].value (i, q); - - local_rhs(i) += -(phi_i_u * - darcy_fe_face_values.normal_vector(q) * - boundary_values[q] * - darcy_fe_face_values.JxW(q)); - } - } - - for (unsigned int i=0; iget_dof_indices (local_dof_indices); - - darcy_constraints.distribute_local_to_global (local_matrix, - local_rhs, - local_dof_indices, - darcy_matrix, - darcy_rhs); - - } - } - - - // @sect3{TwoPhaseFlowProblem::assemble_saturation_system} - - // This function is to assemble the linear - // system for the saturation transport - // equation. It includes two member - // functions: assemble_saturation_matrix () - // and assemble_saturation_rhs (). The former - // function that assembles the saturation - // left hand side needs to be changed only - // when grids have been changed since the - // matrix is filled only with basis - // functions. However, the latter that - // assembles the right hand side must be - // changed at every saturation time step - // since it depends on an unknown variable - // saturation. - template - void TwoPhaseFlowProblem::assemble_saturation_system () - { - if ( rebuild_saturation_matrix == true ) - { - saturation_matrix = 0; - assemble_saturation_matrix (); - } - - saturation_rhs = 0; - assemble_saturation_rhs (); - } - - - - // @sect3{TwoPhaseFlowProblem::assemble_saturation_matrix} - - // This function is easily understood since - // it only forms a simple mass matrix for the - // left hand side of the saturation linear - // system by basis functions phi_i_s and - // phi_j_s only. Finally, as usual, we enter - // the local contribution into the global - // matrix by specifying the position in - // local_dof_indices. This is done by letting - // the ConstraintMatrix class do the - // insertion of the cell matrix elements to - // the global matrix, which already condenses - // the hanging node constraints. - template - void TwoPhaseFlowProblem::assemble_saturation_matrix () - { - QGauss quadrature_formula(saturation_degree+2); - - FEValues saturation_fe_values (saturation_fe, quadrature_formula, - update_values | update_JxW_values); - - const unsigned int dofs_per_cell = saturation_fe.dofs_per_cell; - - const unsigned int n_q_points = quadrature_formula.size(); - - FullMatrix local_matrix (dofs_per_cell, dofs_per_cell); - Vector local_rhs (dofs_per_cell); - - std::vector local_dof_indices (dofs_per_cell); - - typename DoFHandler::active_cell_iterator - cell = saturation_dof_handler.begin_active(), - endc = saturation_dof_handler.end(); - for (; cell!=endc; ++cell) - { - saturation_fe_values.reinit (cell); - local_matrix = 0; - local_rhs = 0; - - for (unsigned int q=0; qget_dof_indices (local_dof_indices); - - saturation_constraints.distribute_local_to_global (local_matrix, - local_dof_indices, - saturation_matrix); - - } - } - - - - // @sect3{TwoPhaseFlowProblem::assemble_saturation_rhs} - - // This function is to assemble the right - // hand side of the saturation transport - // equation. Before assembling it, we have to - // call two FEValues objects for the darcy - // and saturation systems respectively and, - // even more, two FEFaceValues objects for - // the both systems because we have a - // boundary integral term in the weak form of - // saturation equation. For the FEFaceValues - // object of the saturation system, we also - // enter the normal vectors with an update - // flag update_normal_vectors. - // - // Next, before looping over all the cells, - // we have to compute some parameters - // (e.g. global_u_infty, global_S_variasion, - // and global_Omega_diameter) that the - // artificial viscosity $\nu$ needs, which - // desriptions have been appearing in - // step-31. - // - // Next, we start to loop over all the - // saturation and darcy cells to put the - // local contributions into the global - // vector. In this loop, in order to simplify - // the implementation in this function, we - // generate two more functions: one is - // assemble_saturation_rhs_cell_term and the - // other is - // assemble_saturation_rhs_boundary_term, - // which is contained in an inner boudary - // loop. The former is to assemble the - // integral cell term with neccessary - // arguments and the latter is to assemble - // the integral global boundary $\Omega$ - // terms. It should be noted that we achieve - // the insertion of the cell or boundary - // vector elements to the global vector in - // the two functions rather than in this - // present function by giving these two - // functions with a common argument - // local_dof_indices, and two arguments - // saturation_fe_values darcy_fe_values for - // assemble_saturation_rhs_cell_term and - // another two arguments - // saturation_fe_face_values - // darcy_fe_face_values for - // assemble_saturation_rhs_boundary_term. - template - void TwoPhaseFlowProblem::assemble_saturation_rhs () - { - QGauss quadrature_formula(saturation_degree+2); - QGauss face_quadrature_formula(saturation_degree+2); - - FEValues saturation_fe_values (saturation_fe, quadrature_formula, - update_values | update_gradients | - update_quadrature_points | update_JxW_values); - FEValues darcy_fe_values (darcy_fe, quadrature_formula, - update_values); - FEFaceValues saturation_fe_face_values (saturation_fe, face_quadrature_formula, - update_values | update_normal_vectors | - update_quadrature_points | update_JxW_values); - FEFaceValues darcy_fe_face_values (darcy_fe, face_quadrature_formula, - update_values); - FEFaceValues saturation_fe_face_values_neighbor (saturation_fe, face_quadrature_formula, - update_values); - - const unsigned int dofs_per_cell = saturation_dof_handler.get_fe().dofs_per_cell; - std::vector local_dof_indices (dofs_per_cell); - - const double global_u_infty = get_maximal_velocity (); - const std::pair - global_S_range = get_extrapolated_saturation_range (); - const double global_S_variasion = global_S_range.second - global_S_range.first; - const double global_Omega_diameter = GridTools::diameter (triangulation); - - typename DoFHandler::active_cell_iterator - cell = saturation_dof_handler.begin_active(), - endc = saturation_dof_handler.end(); - typename DoFHandler::active_cell_iterator - darcy_cell = darcy_dof_handler.begin_active(); - for (; cell!=endc; ++cell, ++darcy_cell) - { - saturation_fe_values.reinit (cell); - darcy_fe_values.reinit (darcy_cell); - - cell->get_dof_indices (local_dof_indices); - - assemble_saturation_rhs_cell_term(saturation_fe_values, - darcy_fe_values, - local_dof_indices, - global_u_infty, - global_S_variasion, - global_Omega_diameter); - - for (unsigned int face_no=0; face_no::faces_per_cell; - ++face_no) - { - - if (cell->at_boundary(face_no)) - { - darcy_fe_face_values.reinit (darcy_cell, face_no); - saturation_fe_face_values.reinit (cell, face_no); - assemble_saturation_rhs_boundary_term (saturation_fe_face_values, - darcy_fe_face_values, - local_dof_indices); - } - } - } - } - - - - // @sect3{TwoPhaseFlowProblem::assemble_saturation_rhs_cell_term} - - // In this function, we actually compute - // every artificial viscosity for every - // element. Then, with the artificial value, - // we can finish assembling the saturation - // right hand side cell integral - // terms. Finally, we can pass the local - // contributions on to the global vector with - // the position specified in - // local_dof_indices. - template - void - TwoPhaseFlowProblem:: - assemble_saturation_rhs_cell_term (const FEValues &saturation_fe_values, - const FEValues &darcy_fe_values, - const std::vector &local_dof_indices, - const double global_u_infty, - const double global_S_variation, - const double global_Omega_diameter) - { - const unsigned int dofs_per_cell = saturation_fe_values.dofs_per_cell; - const unsigned int n_q_points = saturation_fe_values.n_quadrature_points; - - Vector local_rhs (dofs_per_cell); - - std::vector old_saturation_solution_values(n_q_points); - std::vector old_old_saturation_solution_values(n_q_points); - std::vector > old_grad_saturation_solution_values(n_q_points); - std::vector > old_old_grad_saturation_solution_values(n_q_points); - std::vector > present_darcy_solution_values(n_q_points, Vector(dim+1)); - - saturation_fe_values.get_function_values (old_saturation_solution, old_saturation_solution_values); - saturation_fe_values.get_function_values (old_old_saturation_solution, old_old_saturation_solution_values); - saturation_fe_values.get_function_grads (old_saturation_solution, old_grad_saturation_solution_values); - saturation_fe_values.get_function_grads (old_old_saturation_solution, old_old_grad_saturation_solution_values); - darcy_fe_values.get_function_values (darcy_solution, present_darcy_solution_values); - - const double nu - = compute_viscosity (old_saturation_solution_values, - old_old_saturation_solution_values, - old_grad_saturation_solution_values, - old_old_grad_saturation_solution_values, - present_darcy_solution_values, - global_u_infty, - global_S_variation, - global_Omega_diameter, - saturation_fe_values.get_cell()->diameter(), - old_time_step, - viscosity); - - for (unsigned int q=0; q present_u; - for (unsigned int d=0; d grad_phi_i_s = saturation_fe_values.shape_grad (i, q); - - local_rhs(i) += (time_step * - f_saturation(old_s,viscosity) * - present_u * - grad_phi_i_s - - - time_step * - nu * - old_grad_saturation_solution_values[q] * grad_phi_i_s - + - old_s * phi_i_s) - * - saturation_fe_values.JxW(q); - } - - saturation_constraints.distribute_local_to_global (local_rhs, - local_dof_indices, - saturation_rhs); - } - - - // @sect3{TwoPhaseFlowProblem::assemble_saturation_rhs_boundary_term} - - // In this function, we have to give - // upwinding in the global boundary faces, - // i.e. we impose the Dirichlet boundary - // conditions only on inflow parts of global - // boundary, which has been described in - // step-21 so we refrain from giving more - // descriptions about that. - template - void - TwoPhaseFlowProblem:: - assemble_saturation_rhs_boundary_term (const FEFaceValues &saturation_fe_face_values, - const FEFaceValues &darcy_fe_face_values, - const std::vector &local_dof_indices) - { - const unsigned int dofs_per_cell = saturation_fe_face_values.dofs_per_cell; - const unsigned int n_face_q_points = saturation_fe_face_values.n_quadrature_points; - - Vector local_rhs (dofs_per_cell); - - std::vector old_saturation_solution_values_face(n_face_q_points); - std::vector > present_darcy_solution_values_face(n_face_q_points, Vector(dim+1)); - std::vector neighbor_saturation (n_face_q_points); - - saturation_fe_face_values.get_function_values (old_saturation_solution, old_saturation_solution_values_face); - darcy_fe_face_values.get_function_values (darcy_solution, present_darcy_solution_values_face); - - SaturationBoundaryValues saturation_boundary_values; - saturation_boundary_values - .value_list (saturation_fe_face_values.get_quadrature_points(), - neighbor_saturation); - - for (unsigned int q=0; q present_u_face; - for (unsigned int d=0; d= 0); - - for (unsigned int i=0; i::solve} - - // This function is to implement the operator - // splitting algorithm. At the beginning of - // the implementation, we decide whther to - // solve the pressure-velocity part by - // running an a posteriori criterion, which - // will be described in the following - // function. If we get the bool variable true - // from that function, we will solve the - // pressure-velocity part for updated - // velocity. Then, we use GMRES with the - // Schur complement preconditioner to solve - // this linear system, as is described in the - // Introduction. After solving the velocity - // and pressure, we need to keep the - // solutions for linear extrapolations in the - // future. It is noted that we always solve - // the pressure-velocity part in the first - // three micro time steps to ensure accuracy - // at the beginning of computation, and to - // provide starting data to linearly - // extrapolate previously computed velocities - // to the current time step. - // - // On the other hand, if we get a false - // variable from the criterion, we will - // directly use linear extrapolation to - // compute the updated velocity for the - // solution of saturation later. - // - // Next, like step-21, this program need to - // compute the present time step. - // - // Next, we need to use two bool variables - // solve_pressure_velocity_part and - // previous_solve_pressure_velocity_part to - // decide whether we stop or continue - // cumulating the micro time steps for linear - // extropolations in the next iteration. With - // the reason, we need one variable - // cumulative_nth_time_step for keeping the - // present aggregated micro time steps and - // anther one n_minus_oneth_time_step for - // retaining the previous micro time steps. - // - // Finally, we start to calculate the - // saturation part with the use of the - // incomplete Cholesky decomposition for - // preconditioning. - template - void TwoPhaseFlowProblem::solve () - { - solve_pressure_velocity_part = determine_whether_to_solve_pressure_velocity_part (); - - if ( timestep_number <= 3 || solve_pressure_velocity_part == true ) - { - std::cout << " Solving darcy system (pressure-velocity part)..." << std::endl; - - assemble_darcy_system (); - build_darcy_preconditioner (); - - { - const LinearSolvers::InverseMatrix - mp_inverse (darcy_preconditioner_matrix.block(1,1), *Mp_preconditioner); - - const LinearSolvers::BlockSchurPreconditioner - preconditioner (darcy_matrix, mp_inverse, *Amg_preconditioner); - - SolverControl solver_control (darcy_matrix.m(), - 1e-6*darcy_rhs.l2_norm()); - - SolverGMRES - gmres (solver_control, - SolverGMRES::AdditionalData(100)); - - for (unsigned int i=0; i cg (solver_control); - - TrilinosWrappers::PreconditionIC preconditioner; - preconditioner.initialize (saturation_matrix); - - cg.solve (saturation_matrix, saturation_solution, - saturation_rhs, preconditioner); - - - saturation_constraints.distribute (saturation_solution); - - project_back_saturation (); - - std::cout << " " - << solver_control.last_step() - << " CG iterations for saturation." - << std::endl; - - } - - } - - - - // @sect3{TwoPhaseFlowProblem::determine_whether_to_solve_pressure_velocity_part} - - // This function is to implement the a - // posteriori criterion for - // adaptive operator splitting. As mentioned - // in step-31, we use two FEValues objects - // initialized with two cell iterators that - // we walk in parallel through the two - // DoFHandler objects associated with the - // same Triangulation object; for these two - // FEValues objects, we use of course the - // same quadrature objects so that we can - // iterate over the same set of quadrature - // points, but each FEValues object will get - // update flags only according to what it - // actually needs to compute. - // - // In addition to this, if someone doesn't - // want to perform their simulation with - // operator splitting, they can lower the - // criterion value (default value is $5.0$) - // down to zero ad therefore numerical - // algorithm becomes the original IMPES - // method. - template - bool - TwoPhaseFlowProblem::determine_whether_to_solve_pressure_velocity_part () const - { - if (timestep_number <= 3) - return true; - - const QGauss quadrature_formula(saturation_degree+2); - const unsigned int n_q_points = quadrature_formula.size(); - - FEValues fe_values (saturation_fe, quadrature_formula, - update_values | update_quadrature_points); - - std::vector old_saturation_after_solving_pressure (n_q_points); - std::vector present_saturation (n_q_points); - - const RandomMedium::KInverse k_inverse; -// const SingleCurvingCrack::KInverse k_inverse; - - std::vector > k_inverse_values (n_q_points); - - double max_global_aop_indicator = 0.0; - - typename DoFHandler::active_cell_iterator - cell = saturation_dof_handler.begin_active(), - endc = saturation_dof_handler.end(); - for (; cell!=endc; ++cell) - { - double max_local_mobility_reciprocal_difference = 0.0; - double max_local_permeability_inverse_l1_norm = 0.0; - - fe_values.reinit(cell); - fe_values.get_function_values (nth_saturation_solution_after_solving_pressure_part, - old_saturation_after_solving_pressure); - fe_values.get_function_values (saturation_solution, - present_saturation); - - k_inverse.value_list (fe_values.get_quadrature_points(), - k_inverse_values); - - for (unsigned int q=0; q 5.0 ) - { - return true; - } - else - { - std::cout << " Activating adaptive operating splitting" << std::endl; - return false; - } - } - - - - // @sect3{TwoPhaseFlowProblem::compute_refinement_indicators} - - // This function is to to compute the - // refinement indicator discussed in the - // introduction for each cell and its - // implementation is similar to that - // contained in step-33. There is no need to - // repeat descriptions about it. - template - void - TwoPhaseFlowProblem:: - compute_refinement_indicators (Vector &refinement_indicators) const - { - - const QMidpoint quadrature_formula; - FEValues fe_values (saturation_fe, quadrature_formula, update_gradients); - std::vector > grad_saturation (1); - - double max_refinement_indicator = 0.0; - - typename DoFHandler::active_cell_iterator - cell = saturation_dof_handler.begin_active(), - endc = saturation_dof_handler.end(); - for (unsigned int cell_no=0; cell!=endc; ++cell, ++cell_no) - { - fe_values.reinit(cell); - fe_values.get_function_grads (predictor_saturation_solution, - grad_saturation); - - refinement_indicators(cell_no) - = std::log( 1.0 + std::sqrt( grad_saturation[0] * - grad_saturation[0] ) ); - max_refinement_indicator = std::max(max_refinement_indicator, - refinement_indicators(cell_no)); - } - -// std::cout << "max_refinement_indicator =" << max_refinement_indicator << std::endl; - } - - - - // @sect3{TwoPhaseFlowProblem::refine_grid} - - // This function is to decide if every cell - // is refined or coarsened with computed - // refinement indicators in the previous - // function and do the interpolations of the - // solution vectors. The main difference from - // the previous time-dependent tutorials is - // that there is no need to do the solution - // interpolations if we don't have any cell - // that is refined or coarsend, saving some - // additional computing time. - template - void - TwoPhaseFlowProblem:: - refine_grid (const Vector &refinement_indicators) - { - const double current_saturation_level = saturation_level + - n_refinement_steps; - - { - typename DoFHandler::active_cell_iterator - cell = saturation_dof_handler.begin_active(), - endc = saturation_dof_handler.end(); - - for (unsigned int cell_no=0; cell!=endc; ++cell, ++cell_no) - { - cell->clear_coarsen_flag(); - cell->clear_refine_flag(); - - if ((cell->level() < current_saturation_level) && - (std::fabs(refinement_indicators(cell_no)) > saturation_value)) - cell->set_refine_flag(); - else - if ((cell->level() > double(n_refinement_steps)) && - (std::fabs(refinement_indicators(cell_no)) < 0.75 * saturation_value)) - cell->set_coarsen_flag(); - } - } - - triangulation.prepare_coarsening_and_refinement (); - - unsigned int number_of_cells_refine = 0; - unsigned int number_of_cells_coarsen = 0; - - { - typename DoFHandler::active_cell_iterator - cell = saturation_dof_handler.begin_active(), - endc = saturation_dof_handler.end(); - - for (; cell!=endc; ++cell) - if (cell->refine_flag_set()) - ++number_of_cells_refine; - else - if (cell->coarsen_flag_set()) - ++number_of_cells_coarsen; - } - - std::cout << " " - << number_of_cells_refine - << " cell(s) are going to be refined." - << std::endl; - std::cout << " " - << number_of_cells_coarsen - << " cell(s) are going to be coarsened." - << std::endl; - - std::cout << std::endl; - - if ( number_of_cells_refine > 0 || number_of_cells_coarsen > 0 ) - { - std::vector x_saturation (3); - x_saturation[0] = saturation_solution; - x_saturation[1] = old_saturation_solution; - x_saturation[2] = nth_saturation_solution_after_solving_pressure_part; - - std::vector x_darcy (2); - x_darcy[0] = nth_darcy_solution_after_solving_pressure_part; - x_darcy[1] = n_minus_oneth_darcy_solution_after_solving_pressure_part; - - SolutionTransfer saturation_soltrans(saturation_dof_handler); - - SolutionTransfer darcy_soltrans(darcy_dof_handler); - - - triangulation.prepare_coarsening_and_refinement(); - saturation_soltrans.prepare_for_coarsening_and_refinement(x_saturation); - - darcy_soltrans.prepare_for_coarsening_and_refinement(x_darcy); - - triangulation.execute_coarsening_and_refinement (); - setup_dofs (); - - std::vector tmp_saturation (3); - tmp_saturation[0].reinit (saturation_solution); - tmp_saturation[1].reinit (saturation_solution); - tmp_saturation[2].reinit (saturation_solution); - saturation_soltrans.interpolate(x_saturation, tmp_saturation); - - saturation_solution = tmp_saturation[0]; - old_saturation_solution = tmp_saturation[1]; - nth_saturation_solution_after_solving_pressure_part = tmp_saturation[2]; - - std::vector tmp_darcy (2); - tmp_darcy[0].reinit (darcy_solution); - tmp_darcy[1].reinit (darcy_solution); - darcy_soltrans.interpolate(x_darcy, tmp_darcy); - - nth_darcy_solution_after_solving_pressure_part = tmp_darcy[0]; - n_minus_oneth_darcy_solution_after_solving_pressure_part = tmp_darcy[1]; - - rebuild_saturation_matrix = true; - } - else - { - rebuild_saturation_matrix = false; - - std::vector darcy_block_component (dim+1,0); - darcy_block_component[dim] = 1; - - std::vector darcy_dofs_per_block (2); - DoFTools::count_dofs_per_block (darcy_dof_handler, darcy_dofs_per_block, darcy_block_component); - const unsigned int n_u = darcy_dofs_per_block[0], - n_p = darcy_dofs_per_block[1], - n_s = saturation_dof_handler.n_dofs(); - - std::cout << "Number of active cells: " - << triangulation.n_active_cells() - << " (on " - << triangulation.n_levels() - << " levels)" - << std::endl - << "Number of degrees of freedom: " - << n_u + n_p + n_s - << " (" << n_u << '+' << n_p << '+'<< n_s <<')' - << std::endl - << std::endl; - } - - } - - - - // @sect3{TwoPhaseFlowProblem::output_results} - - // This function to process the output - // data. We only store the results when we - // actually solve the pressure and velocity - // part at the present time step. The rest of - // the implementation is similar to that - // output function in step-31, which - // implementations has been explained in that - // tutorial. - template - void TwoPhaseFlowProblem::output_results () const - { - if ( solve_pressure_velocity_part == false ) - return; - - const FESystem joint_fe (darcy_fe, 1, - saturation_fe, 1); - DoFHandler joint_dof_handler (triangulation); - joint_dof_handler.distribute_dofs (joint_fe); - Assert (joint_dof_handler.n_dofs() == - darcy_dof_handler.n_dofs() + saturation_dof_handler.n_dofs(), - ExcInternalError()); - - Vector joint_solution (joint_dof_handler.n_dofs()); - - { - std::vector local_joint_dof_indices (joint_fe.dofs_per_cell); - std::vector local_darcy_dof_indices (darcy_fe.dofs_per_cell); - std::vector local_saturation_dof_indices (saturation_fe.dofs_per_cell); - - typename DoFHandler::active_cell_iterator - joint_cell = joint_dof_handler.begin_active(), - joint_endc = joint_dof_handler.end(), - darcy_cell = darcy_dof_handler.begin_active(), - saturation_cell = saturation_dof_handler.begin_active(); - - for (; joint_cell!=joint_endc; ++joint_cell, ++darcy_cell, ++saturation_cell) - { - joint_cell->get_dof_indices (local_joint_dof_indices); - darcy_cell->get_dof_indices (local_darcy_dof_indices); - saturation_cell->get_dof_indices (local_saturation_dof_indices); - - for (unsigned int i=0; i joint_solution_names; - switch (dim) - { - case 2: - joint_solution_names.push_back ("u"); - joint_solution_names.push_back ("v"); - break; - - case 3: - joint_solution_names.push_back ("u"); - joint_solution_names.push_back ("v"); - joint_solution_names.push_back ("w"); - break; - - default: - Assert (false, ExcNotImplemented()); - } - joint_solution_names.push_back ("pressure"); - joint_solution_names.push_back ("saturation"); - - std::vector - data_component_interpretation - (dim, DataComponentInterpretation::component_is_part_of_vector); - data_component_interpretation - .push_back (DataComponentInterpretation::component_is_scalar); - data_component_interpretation - .push_back (DataComponentInterpretation::component_is_scalar); - - DataOut data_out; - - data_out.attach_dof_handler (joint_dof_handler); - data_out.add_data_vector (joint_solution, joint_solution_names, - DataOut::type_dof_data, - data_component_interpretation); - - data_out.build_patches (); - - std::string filename = "solution-" + - Utilities::int_to_string (timestep_number, 5) + ".tec"; - std::ofstream output (filename.c_str()); - data_out.write_tecplot (output); - } - - - - // @sect3{TwoPhaseFlowProblem::THE_REMAINING_FUNCTIONS} - - // The remaining functions that have been - // used in step-31 so we don't have to - // describe their implementations. - template - void - TwoPhaseFlowProblem::project_back_saturation () - { - for (unsigned int i=0; i 1) - saturation_solution(i) = 1; - } - - - template - double - TwoPhaseFlowProblem::get_maximal_velocity () const - { - QGauss quadrature_formula(darcy_degree+2); - const unsigned int n_q_points - = quadrature_formula.size(); - - FEValues darcy_fe_values (darcy_fe, quadrature_formula, - update_values); - std::vector > darcy_solution_values(n_q_points, - Vector(dim+1)); - double max_velocity = 0; - - typename DoFHandler::active_cell_iterator - cell = darcy_dof_handler.begin_active(), - endc = darcy_dof_handler.end(); - for (; cell!=endc; ++cell) - { - darcy_fe_values.reinit (cell); - darcy_fe_values.get_function_values (darcy_solution, darcy_solution_values); - - for (unsigned int q=0; q velocity; - for (unsigned int i=0; i - std::pair - TwoPhaseFlowProblem::get_extrapolated_saturation_range () const - { - const QGauss quadrature_formula(saturation_degree+2); - const unsigned int n_q_points = quadrature_formula.size(); - - FEValues fe_values (saturation_fe, quadrature_formula, - update_values); - std::vector old_saturation_values(n_q_points); - std::vector old_old_saturation_values(n_q_points); - - if (timestep_number != 0) - { - double min_saturation = (1. + time_step/old_time_step) * - old_saturation_solution.linfty_norm() - + - time_step/old_time_step * - old_old_saturation_solution.linfty_norm(), - max_saturation = -min_saturation; - - typename DoFHandler::active_cell_iterator - cell = saturation_dof_handler.begin_active(), - endc = saturation_dof_handler.end(); - for (; cell!=endc; ++cell) - { - fe_values.reinit (cell); - fe_values.get_function_values (old_saturation_solution, - old_saturation_values); - fe_values.get_function_values (old_old_saturation_solution, - old_old_saturation_values); - - for (unsigned int q=0; q::active_cell_iterator - cell = saturation_dof_handler.begin_active(), - endc = saturation_dof_handler.end(); - for (; cell!=endc; ++cell) - { - fe_values.reinit (cell); - fe_values.get_function_values (old_saturation_solution, - old_saturation_values); - - for (unsigned int q=0; q - double - TwoPhaseFlowProblem:: - compute_viscosity (const std::vector &old_saturation, - const std::vector &old_old_saturation, - const std::vector > &old_saturation_grads, - const std::vector > &old_old_saturation_grads, - const std::vector > &present_darcy_values, - const double global_u_infty, - const double global_S_variation, - const double global_Omega_diameter, - const double cell_diameter, - const double old_time_step, - const double viscosity) - { - const double beta = 0.08 * dim; - const double alpha = 1; - - if (global_u_infty == 0) - return 5e-3 * cell_diameter; - - const unsigned int n_q_points = old_saturation.size(); - - double max_residual = 0; - double max_velocity = 0; - - for (unsigned int q=0; q < n_q_points; ++q) - { - Tensor<1,dim> u; - for (unsigned int d=0; d::run} - - // In this function, we follow the structure - // of the same function partly in step-21 and - // partly in step-31 so again there is no - // need to repeat it. However, since we - // consider the simulation with grid - // adaptivity, we need to compute a - // saturation predictor, which implementation - // was first used in step-33, for the - // function that computes the refinement - // indicators. - template - void TwoPhaseFlowProblem::run () - { - unsigned int pre_refinement_step = 0; - - GridGenerator::hyper_cube (triangulation, 0, 1); - triangulation.refine_global (n_refinement_steps); - - setup_dofs (); - - start_time_iteration: - - VectorTools::project (saturation_dof_handler, - saturation_constraints, - QGauss(saturation_degree+2), - SaturationInitialValues(), - old_saturation_solution); - - timestep_number = 0; - double time = 0; - - do - { - std::cout << "Timestep " << timestep_number - << ": t=" << time - << ", dt=" << time_step - << std::endl; - - solve (); - - output_results (); - - solve_pressure_velocity_part = false; - - if ((timestep_number == 0) && - (pre_refinement_step < saturation_level)) - { - predictor_saturation_solution = saturation_solution; - predictor_saturation_solution.sadd (2.0, -1.0, old_saturation_solution); - Vector refinement_indicators (triangulation.n_active_cells()); - compute_refinement_indicators(refinement_indicators); - refine_grid(refinement_indicators); - ++pre_refinement_step; - goto start_time_iteration; - } - else - { - predictor_saturation_solution = saturation_solution; - predictor_saturation_solution.sadd (2.0, -1.0, old_saturation_solution); - Vector refinement_indicators (triangulation.n_active_cells()); - compute_refinement_indicators(refinement_indicators); - refine_grid(refinement_indicators); - } - - time += time_step; - ++timestep_number; - - old_old_saturation_solution = old_saturation_solution; - old_saturation_solution = saturation_solution; - - } - while (time <= 250); - } -} - - - -int main () -{ - try - { - using namespace dealii; - using namespace Step43; - - deallog.depth_console (0); - - TwoPhaseFlowProblem<3> two_phase_flow_problem(1); - two_phase_flow_problem.run (); - } - catch (std::exception &exc) - { - std::cerr << std::endl << std::endl - << "----------------------------------------------------" - << std::endl; - std::cerr << "Exception on processing: " << std::endl - << exc.what() << std::endl - << "Aborting!" << std::endl - << "----------------------------------------------------" - << std::endl; - - return 1; - } - catch (...) - { - std::cerr << std::endl << std::endl - << "----------------------------------------------------" - << std::endl; - std::cerr << "Unknown exception!" << std::endl - << "Aborting!" << std::endl - << "----------------------------------------------------" - << std::endl; - return 1; - } - - return 0; -} diff --git a/deal.II/examples/step-44/Makefile b/deal.II/examples/step-44/Makefile deleted file mode 100644 index dc39e88b68..0000000000 --- a/deal.II/examples/step-44/Makefile +++ /dev/null @@ -1,143 +0,0 @@ -# $Id$ - - -# For the small projects Makefile, you basically need to fill in only -# four fields. -# -# The first is the name of the application. It is assumed that the -# application name is the same as the base file name of the single C++ -# file from which the application is generated. -target = step-44 - -# The second field determines whether you want to run your program in -# debug or optimized mode. The latter is significantly faster, but no -# run-time checking of parameters and internal states is performed, so -# you should set this value to `on' while you develop your program, -# and to `off' when running production computations. -debug-mode = on - - -# As third field, we need to give the path to the top-level deal.II -# directory. You need to adjust this to your needs. Since this path is -# probably the most often needed one in the Makefile internals, it is -# designated by a single-character variable, since that can be -# reference using $D only, i.e. without the parentheses that are -# required for most other parameters, as e.g. in $(target). -D = ../../ - - -# The last field specifies the names of data and other files that -# shall be deleted when calling `make clean'. Object and backup files, -# executables and the like are removed anyway. Here, we give a list of -# files in the various output formats that deal.II supports. -clean-up-files = *gmv *gnuplot *gpl *eps *pov *vtk *ucd *.d2 - - - - -# -# -# Usually, you will not need to change anything beyond this point. -# -# -# The next statement tells the `make' program where to find the -# deal.II top level directory and to include the file with the global -# settings -include $D/common/Make.global_options - - -# Since the whole project consists of only one file, we need not -# consider difficult dependencies. We only have to declare the -# libraries which we want to link to the object file. deal.II has two -# libraries: one for the debug mode version of the -# application and one for optimized mode. -libs.g := $(lib-deal2.g) -libs.o := $(lib-deal2.o) - - -# We now use the variable defined above to switch between debug and -# optimized mode to select the set of libraries to link with. Included -# in the list of libraries is the name of the object file which we -# will produce from the single C++ file. Note that by default we use -# the extension .g.o for object files compiled in debug mode and .o for -# object files in optimized mode (or whatever local default on your -# system is instead of .o) -ifeq ($(debug-mode),on) - libraries = $(target).g.$(OBJEXT) $(libs.g) -else - libraries = $(target).$(OBJEXT) $(libs.o) -endif - - -# Now comes the first production rule: how to link the single object -# file produced from the single C++ file into the executable. Since -# this is the first rule in the Makefile, it is the one `make' selects -# if you call it without arguments. -$(target)$(EXEEXT) : $(libraries) - @echo ============================ Linking $@ - @$(CXX) -o $@ $^ $(LIBS) $(LDFLAGS) - - -# To make running the application somewhat independent of the actual -# program name, we usually declare a rule `run' which simply runs the -# program. You can then run it by typing `make run'. This is also -# useful if you want to call the executable with arguments which do -# not change frequently. You may then want to add them to the -# following rule: -run: $(target)$(EXEEXT) - @echo ============================ Running $< - @./$(target)$(EXEEXT) - - -# As a last rule to the `make' program, we define what to do when -# cleaning up a directory. This usually involves deleting object files -# and other automatically created files such as the executable itself, -# backup files, and data files. Since the latter are not usually quite -# diverse, you needed to declare them at the top of this file. -clean: - -rm -f *.$(OBJEXT) *~ Makefile.dep $(target)$(EXEEXT) $(clean-up-files) - - -# Since we have not yet stated how to make an object file from a C++ -# file, we should do so now. Since the many flags passed to the -# compiler are usually not of much interest, we suppress the actual -# command line using the `at' sign in the first column of the rules -# and write the string indicating what we do instead. -./%.g.$(OBJEXT) : - @echo "==============debug========= $( $@" - @$(CXX) $(CXXFLAGS.g) -c $< -o $@ -./%.$(OBJEXT) : - @echo "==============optimized===== $( $@" - @$(CXX) $(CXXFLAGS.o) -c $< -o $@ - - -# The following statement tells make that the rules `run' and `clean' -# are not expected to produce files of the same name as Makefile rules -# usually do. -.PHONY: run clean - - -# Finally there is a rule which you normally need not care much about: -# since the executable depends on some include files from the library, -# besides the C++ application file of course, it is necessary to -# re-generate the executable when one of the files it depends on has -# changed. The following rule creates a dependency file -# `Makefile.dep', which `make' uses to determine when to regenerate -# the executable. This file is automagically remade whenever needed, -# i.e. whenever one of the cc-/h-files changed. Make detects whether -# to remake this file upon inclusion at the bottom of this file. -# -# If the creation of Makefile.dep fails, blow it away and fail -Makefile.dep: $(target).cc Makefile \ - $(shell echo $D/include/deal.II/*/*.h) - @echo ============================ Remaking $@ - @$D/common/scripts/make_dependencies $(INCLUDE) -B. $(target).cc \ - > $@ \ - || (rm -f $@ ; false) - @if test -s $@ ; then : else rm $@ ; fi - -# To make the dependencies known to `make', we finally have to include -# them: -include Makefile.dep - - diff --git a/deal.II/examples/step-44/doc/builds-on b/deal.II/examples/step-44/doc/builds-on deleted file mode 100644 index 90d9d634fe..0000000000 --- a/deal.II/examples/step-44/doc/builds-on +++ /dev/null @@ -1 +0,0 @@ -step-18 diff --git a/deal.II/examples/step-44/doc/intro.dox b/deal.II/examples/step-44/doc/intro.dox deleted file mode 100644 index c59cfdf609..0000000000 --- a/deal.II/examples/step-44/doc/intro.dox +++ /dev/null @@ -1,2 +0,0 @@ - -

Introduction

diff --git a/deal.II/examples/step-44/doc/kind b/deal.II/examples/step-44/doc/kind deleted file mode 100644 index 56e049c91a..0000000000 --- a/deal.II/examples/step-44/doc/kind +++ /dev/null @@ -1 +0,0 @@ -solids diff --git a/deal.II/examples/step-44/doc/results.dox b/deal.II/examples/step-44/doc/results.dox deleted file mode 100644 index b5eaba9377..0000000000 --- a/deal.II/examples/step-44/doc/results.dox +++ /dev/null @@ -1,2 +0,0 @@ -

Results

- diff --git a/deal.II/examples/step-44/doc/tooltip b/deal.II/examples/step-44/doc/tooltip deleted file mode 100644 index 2e08a00fc9..0000000000 --- a/deal.II/examples/step-44/doc/tooltip +++ /dev/null @@ -1 +0,0 @@ -Quasi-static finite-strain elasticity diff --git a/deal.II/examples/step-44/parameters.prm b/deal.II/examples/step-44/parameters.prm deleted file mode 100644 index 17f5a04b4d..0000000000 --- a/deal.II/examples/step-44/parameters.prm +++ /dev/null @@ -1,68 +0,0 @@ -# Listing of Parameters -# --------------------- -subsection Finite element system - # Displacement system polynomial order - set Polynomial degree = 1 - - # Gauss quadrature order - set Quadrature order = 2 -end - - -subsection Geometry - # Global refinement level - set Global refinement = 2 - - # Global grid scaling factor - set Grid scale = 1e-3 - - # Ratio of applied pressure to reference pressure - set Pressure ratio p/p0 = 100 -end - - -subsection Linear solver - # Linear solver iterations (multiples of the system matrix size) - set Max iteration multiplier = 2 - - # Linear solver residual (scaled by residual norm) - set Residual = 1e-6 - - # SSOR preconditioner relaxation value - set SSOR Relaxation = 0.6 - - # Type of solver used to solve the linear system - set Solver type = CG -end - - -subsection Material properties - # Poisson's ratio - set Poisson's ratio = 0.4999 - - # Shear modulus - set Shear modulus = 80.194e6 -end - - -subsection Nonlinear solver - # Number of Newton-Raphson iterations allowed - set Max iterations Newton-Raphson = 10 - - # Displacement error tolerance - set Tolerance displacement = 1.0e-3 - - # Force residual tolerance - set Tolerance force = 1.0e-9 -end - - -subsection Time - # End time - set End time = 1 - - # Time step size - set Time step size = 0.1 -end - - diff --git a/deal.II/examples/step-44/step-44.cc b/deal.II/examples/step-44/step-44.cc deleted file mode 100644 index 426a571184..0000000000 --- a/deal.II/examples/step-44/step-44.cc +++ /dev/null @@ -1,2080 +0,0 @@ - -/* Authors: Jean-Paul Pelteret, University of Cape Town, */ -/* Andrew McBride, University of Erlangen-Nuremberg, 2010 */ -/* */ -/* Copyright (C) 2010, 2011 by the deal.II authors */ -/* & Jean-Paul Pelteret and Andrew McBride */ -/* */ -/* This file is subject to QPL and may not be distributed */ -/* without copyright and license information. Please refer */ -/* to the file deal.II/doc/license.html for the text and */ -/* further information on this license. */ - -#include -#include -#include -#include -#include -#include -#include -#include - -#include -#include -#include - -#include -#include -#include -#include -#include - -#include -#include -#include -#include -#include - -#include - -#include -#include -#include -#include -#include -#include -#include - -#include -#include - -#include -#include -#include -#include - - -namespace Step44 -{ - using namespace dealii; - -// @sect3{Run-time parameters} - namespace Parameters - { -// Finite Element system - struct FESystem - { - int poly_degree; - int quad_order; - - static void declare_parameters (ParameterHandler &prm); - void parse_parameters (ParameterHandler &prm); - }; - - void FESystem::declare_parameters (ParameterHandler &prm) - { - prm.enter_subsection("Finite element system"); - { - prm.declare_entry("Polynomial degree", - "1", - Patterns::Integer(), - "Displacement system polynomial order"); - - prm.declare_entry("Quadrature order", - "2", - Patterns::Integer(), - "Gauss quadrature order"); - } - prm.leave_subsection(); - } - - void FESystem::parse_parameters (ParameterHandler &prm) - { - prm.enter_subsection("Finite element system"); - { - poly_degree = prm.get_integer("Polynomial degree"); - quad_order = prm.get_integer("Quadrature order"); - } - prm.leave_subsection(); - } - -// Geometry - struct Geometry - { - int global_refinement; - double scale; - double p_p0; - - static void declare_parameters (ParameterHandler &prm); - void parse_parameters (ParameterHandler &prm); - }; - - void Geometry::declare_parameters (ParameterHandler &prm) - { - prm.enter_subsection("Geometry"); - { - prm.declare_entry("Global refinement", - "2", - Patterns::Integer(), - "Global refinement level"); - - prm.declare_entry("Grid scale", - "1.0", - Patterns::Double(), - "Global grid scaling factor"); - - prm.declare_entry("Pressure ratio p/p0", - "40", - Patterns::Selection("20|40|60|80|100"), - "Ratio of applied pressure to reference pressure"); - } - prm.leave_subsection(); - } - - void Geometry::parse_parameters (ParameterHandler &prm) - { - prm.enter_subsection("Geometry"); - { - global_refinement = prm.get_integer("Global refinement"); - scale = prm.get_double("Grid scale"); - p_p0= prm.get_double("Pressure ratio p/p0"); - } - prm.leave_subsection(); - } - -// Materials - struct Materials - { - double nu; - double mu; - - static void declare_parameters (ParameterHandler &prm); - void parse_parameters (ParameterHandler &prm); - }; - - void Materials::declare_parameters (ParameterHandler &prm) - { - prm.enter_subsection("Material properties"); - { - prm.declare_entry("Poisson's ratio", - "0.49", - Patterns::Double(), - "Poisson's ratio"); - - prm.declare_entry("Shear modulus", - "1.0e6", - Patterns::Double(), - "Shear modulus"); - } - prm.leave_subsection(); - } - - void Materials::parse_parameters (ParameterHandler &prm) - { - prm.enter_subsection("Material properties"); - { - nu = prm.get_double("Poisson's ratio"); - mu = prm.get_double("Shear modulus"); - } - prm.leave_subsection(); - } - -// Linear solver - struct LinearSolver - { - std::string type_lin; - double tol_lin; - double max_iterations_lin; - double ssor_relaxation; - - static void declare_parameters (ParameterHandler &prm); - void parse_parameters (ParameterHandler &prm); - }; - - void LinearSolver::declare_parameters (ParameterHandler &prm) - { - prm.enter_subsection("Linear solver"); - { - prm.declare_entry("Solver type", - "CG", - Patterns::Selection("CG|Direct"), - "Type of solver used to solve the linear system"); - - prm.declare_entry("Residual", - "1e-6", - Patterns::Double(), - "Linear solver residual (scaled by residual norm)"); - - prm.declare_entry("Max iteration multiplier", - "2", - Patterns::Double(), - "Linear solver iterations (multiples of the system matrix size)"); - - prm.declare_entry("SSOR Relaxation", - "0.6", - Patterns::Double(), - "SSOR preconditioner relaxation value"); - } - prm.leave_subsection(); - } - - void LinearSolver::parse_parameters (ParameterHandler &prm) - { - prm.enter_subsection("Linear solver"); - { - type_lin = prm.get("Solver type"); - tol_lin = prm.get_double("Residual"); - max_iterations_lin = prm.get_double("Max iteration multiplier"); - ssor_relaxation = prm.get_double("SSOR Relaxation"); - } - prm.leave_subsection(); - } - -// Nonlinear solver - struct NonlinearSolver - { - unsigned int max_iterations_NR; - double tol_f; - double tol_u; - - static void declare_parameters (ParameterHandler &prm); - void parse_parameters (ParameterHandler &prm); - }; - - void NonlinearSolver::declare_parameters (ParameterHandler &prm) - { - prm.enter_subsection("Nonlinear solver"); - { - prm.declare_entry("Max iterations Newton-Raphson", - "10", - Patterns::Integer(), - "Number of Newton-Raphson iterations allowed"); - - prm.declare_entry("Tolerance force", - "1.0e-9", - Patterns::Double(), - "Force residual tolerance"); - - prm.declare_entry("Tolerance displacement", - "1.0e-3", - Patterns::Double(), - "Displacement error tolerance"); - } - prm.leave_subsection(); - } - - void NonlinearSolver::parse_parameters (ParameterHandler &prm) - { - prm.enter_subsection("Nonlinear solver"); - { - max_iterations_NR = prm.get_integer("Max iterations Newton-Raphson"); - tol_f = prm.get_double("Tolerance force"); - tol_u = prm.get_double("Tolerance displacement"); - } - prm.leave_subsection(); - } - -// Time - struct Time - { - double end_time; - double delta_t; - - static void declare_parameters (ParameterHandler &prm); - void parse_parameters (ParameterHandler &prm); - }; - - void Time::declare_parameters (ParameterHandler &prm) - { - prm.enter_subsection("Time"); - { - prm.declare_entry("End time", - "1", - Patterns::Double(), - "End time"); - - prm.declare_entry("Time step size", - "0.1", - Patterns::Double(), - "Time step size"); - } - prm.leave_subsection(); - } - - void Time::parse_parameters (ParameterHandler &prm) - { - prm.enter_subsection("Time"); - { - end_time = prm.get_double("End time"); - delta_t = prm.get_double("Time step size"); - } - prm.leave_subsection(); - } - -// All parameters - struct AllParameters - : - public FESystem, - public Geometry, - public Materials, - public LinearSolver, - public NonlinearSolver, - public Time - - { - AllParameters (const std::string & input_file); - - static void declare_parameters (ParameterHandler &prm); - void parse_parameters (ParameterHandler &prm); - }; - - AllParameters::AllParameters (const std::string & input_file) - { - ParameterHandler prm; - declare_parameters(prm); - prm.read_input (input_file); - parse_parameters(prm); - } - - void AllParameters::declare_parameters (ParameterHandler &prm) - { - FESystem::declare_parameters(prm); - Geometry::declare_parameters(prm); - Materials::declare_parameters(prm); - LinearSolver::declare_parameters(prm); - NonlinearSolver::declare_parameters(prm); - Time::declare_parameters(prm); - } - - void AllParameters::parse_parameters (ParameterHandler &prm) - { - FESystem::parse_parameters(prm); - Geometry::parse_parameters(prm); - Materials::parse_parameters(prm); - LinearSolver::parse_parameters(prm); - NonlinearSolver::parse_parameters(prm); - Time::parse_parameters(prm); - } - } - -// @sect3{General tools} - namespace AdditionalTools - { - template - void extract_submatrix(const std::vector< unsigned int > &row_index_set, - const std::vector< unsigned int > &column_index_set, - const MatrixType &matrix, - FullMatrix< double > &sub_matrix ) - { - - const unsigned int n_rows_submatrix = row_index_set.size(); - const unsigned int n_cols_submatrix = column_index_set.size(); - - sub_matrix.reinit(n_rows_submatrix, n_cols_submatrix); - - for (unsigned int sub_row = 0; sub_row < n_rows_submatrix; ++sub_row) { - const unsigned int row = row_index_set[sub_row]; - Assert (row<=matrix.m(), ExcIndexRange(row, 0, matrix.m())); - - for (unsigned int sub_col = 0; sub_col < n_cols_submatrix; ++sub_col) { - const unsigned int col = column_index_set[sub_col]; - Assert (col<=matrix.n(), ExcIndexRange(col, 0, matrix.n())); - - sub_matrix(sub_row,sub_col) = matrix(row, col); - } - } - } - - template - void replace_submatrix(const std::vector< unsigned int > &row_index_set, - const std::vector< unsigned int > &column_index_set, - const MatrixType &sub_matrix, - FullMatrix< double > &matrix) - { - const unsigned int n_rows_submatrix = row_index_set.size(); - Assert (n_rows_submatrix<=sub_matrix.m(), ExcIndexRange(n_rows_submatrix, 0, sub_matrix.m())); - const unsigned int n_cols_submatrix = column_index_set.size(); - Assert (n_cols_submatrix<=sub_matrix.n(), ExcIndexRange(n_cols_submatrix, 0, sub_matrix.n())); - - for (unsigned int sub_row = 0; sub_row < n_rows_submatrix; ++sub_row) { - const unsigned int row = row_index_set[sub_row]; - Assert (row<=matrix.m(), ExcIndexRange(row, 0, matrix.m())); - - for (unsigned int sub_col = 0; sub_col < n_cols_submatrix; ++sub_col) { - const unsigned int col = column_index_set[sub_col]; - Assert (col<=matrix.n(), ExcIndexRange(col, 0, matrix.n())); - - matrix(row, col) = sub_matrix(sub_row, sub_col); - - } - } - } - - } - -// @sect3{Time class} - class Time { - public: - Time (const double & time_end, - const double & delta_t) - : - timestep (0), - time_current (0.0), - time_end (time_end), - delta_t (delta_t) - {} - virtual ~Time (void) {} - - const double & current (void) const {return time_current;} - const double & end (void) const {return time_end;} - const double & get_delta_t (void) const {return delta_t;} - const unsigned int & get_timestep (void) const {return timestep;} - void increment (void) {time_current += delta_t; ++timestep;} - - private: - unsigned int timestep; - double time_current; - const double time_end; - const double delta_t; - }; - -// @sect3{Neo-Hookean material} - template - class Material_NH - { - public: - /// \brief Class constructor - Material_NH (const double & lambda, - const double & mu) - : - lambda_0 (lambda), - mu_0 (mu), - kappa_0 (lambda + 2.0/3.0*mu) - { } - virtual ~Material_NH (void) {}; - - // Stress and constitutive tensors - virtual SymmetricTensor<2, dim> get_T (const double & J, - const SymmetricTensor <2, dim> & B) - { - const double dW_dJ = get_dU_dtheta (J); - return mu_0*B + dW_dJ*J*I; - } - - virtual SymmetricTensor<4, dim> get_JC (const double & J, - const SymmetricTensor <2, dim> & B) - { - const double dW_dJ = get_dU_dtheta (J); - const double d2W_dJ2 = get_d2U_dtheta2 (J); - return J*( (dW_dJ + J*d2W_dJ2)*IxI - (2.0*dW_dJ)*II ); - } - - // Volumetric quantities methods - double get_dU_dtheta (const double & d) {return kappa_0*(d - 1.0/d);} - double get_d2U_dtheta2 (const double & d) {return kappa_0*(1.0 + 1.0/(d*d));} - - protected: - // Material properties - const double lambda_0; // Lame modulus - const double mu_0; // Shear modulus - const double kappa_0; // Bulk modulus - - static SymmetricTensor<2, dim> const I; - static SymmetricTensor<4, dim> const IxI; - static SymmetricTensor<4, dim> const II; - }; - - template SymmetricTensor<2, dim> const Material_NH::I = SymmetricTensor<2, dim> (unit_symmetric_tensor ()); - template SymmetricTensor<4, dim> const Material_NH::IxI = SymmetricTensor<4, dim> (outer_product (I, I)); - template SymmetricTensor<4, dim> const Material_NH::II = SymmetricTensor<4, dim> (identity_tensor ()); - -// @sect3{Quadrature point history} - template - class PointHistory - { - public: - PointHistory (void) - : - material (NULL), - dilatation_n (1.0), - pressure_n (0.0) - { } - virtual ~PointHistory (void) {delete material;} - - void setup_lqp ( Parameters::AllParameters & parameters ) - { - const double lambda = 2.0*parameters.mu*parameters.nu / (1.0-2.0*parameters.nu); - material = new Material_NH (lambda, - parameters.mu); - - // Initialise all tensors correctly - update_values (Tensor <2,dim> (), 0.0, 1.0); - } - - // Total Variables - void update_values (const Tensor<2, dim> & grad_u_n, - const double & pressure, - const double & dilatation) - { - // Calculated variables from displacement, displacement gradients - const Tensor <2,dim> F = static_cast > (unit_symmetric_tensor ()) + grad_u_n; - J = determinant(F); - F_inv = invert(F); - B_bar = std::pow(get_J(), -2.0/3.0) * symmetrize ( F* transpose (F) ); - - // Precalculated pressure, dilatation - pressure_n = pressure; - dilatation_n = dilatation; - - // Now that all the necessary variables are set, we can update the stress tensors - // Stress update can only update the stresses once the - // dilatation has been set as p = p(d) - T_bar = material->get_T (get_J(), get_B_bar()); - T_iso = dev_P*get_T_bar(); // Note: T_iso depends on T_bar - T_vol = get_pressure()*get_J()*I; - } - - // Displacement and strain - const double & get_dilatation(void) const {return dilatation_n;} - const double & get_J (void) const {return J;} - const Tensor <2,dim> & get_F_inv (void) const {return F_inv;} - const SymmetricTensor <2,dim> & get_B_bar (void) const {return B_bar;} - - // Volumetric terms - double get_dU_dtheta (void) { - return material->get_dU_dtheta(get_dilatation()); - } - - double get_d2U_dtheta2 (void) { - return material->get_d2U_dtheta2(get_dilatation()); - } - - // Stress - double get_pressure(void) {return pressure_n;} - const SymmetricTensor<2, dim> & get_T_iso (void) const {return T_iso;} - const SymmetricTensor<2, dim> & get_T_vol (void) const {return T_vol;}; - - // Tangent matrices - SymmetricTensor <4,dim> get_C_iso(void) - { - const double & J = get_J(); - const SymmetricTensor<2, dim> & B_bar = get_B_bar(); - const SymmetricTensor<2, dim> & T_iso = get_T_iso(); - - const SymmetricTensor <4,dim> T_iso_x_I = outer_product(T_iso, I); - const SymmetricTensor <4,dim> I_x_T_iso = outer_product(I, T_iso); - const SymmetricTensor <4,dim> CC_bar = material->get_JC (J, B_bar); - - return 2.0/3.0*trace(get_T_bar())*dev_P - - 2.0/3.0*(T_iso_x_I + I_x_T_iso) - + dev_P*CC_bar*dev_P; - } - - SymmetricTensor <4,dim> get_C_vol(void) - { - const double & p = get_pressure(); - const double & J = get_J(); - return p*J*(IxI - 2.0*II); - } - - private: - // === MATERIAL === - Material_NH * material; - - // ==== VOLUME, DISPLACEMENT AND STRAIN VARIABLES ==== - double dilatation_n; // Current dilatation - double J; - Tensor <2,dim> F_inv; - SymmetricTensor <2,dim> B_bar; - SymmetricTensor <2,dim> E; - - // ==== STRESS VARIABLES ==== - double pressure_n; // Current pressure - SymmetricTensor<2, dim> T_bar; - SymmetricTensor<2, dim> T_iso; - SymmetricTensor<2, dim> T_vol; - const SymmetricTensor<2, dim> & get_T_bar (void) const {return T_bar;} - - // Basis tensors - static SymmetricTensor<2, dim> const I; - static SymmetricTensor<4, dim> const IxI; - static SymmetricTensor<4, dim> const II; - static SymmetricTensor<4, dim> const dev_P; - }; - - template SymmetricTensor<2,dim> const PointHistory::I - = SymmetricTensor<2,dim> (unit_symmetric_tensor ()); - template SymmetricTensor<4,dim> const PointHistory::IxI - = SymmetricTensor<4,dim> (outer_product (I, I)); - template SymmetricTensor<4,dim> const PointHistory::II - = SymmetricTensor<4,dim> (identity_tensor ()); - template SymmetricTensor<4,dim> const PointHistory::dev_P - = SymmetricTensor<4,dim> (II - 1.0/3.0*IxI); - - -// @sect3{Quasi-static quasi-incompressible finite-strain solid} - template - class Solid - { - public: - Solid (const std::string & input_file); - virtual ~Solid (void); - void run (void); - - private: - - // === DATA STRUCTS === - - struct PerTaskData_K - { - FullMatrix cell_matrix; - std::vector local_dof_indices; - - PerTaskData_K (const unsigned int dofs_per_cell) - : - cell_matrix (dofs_per_cell, - dofs_per_cell), - local_dof_indices (dofs_per_cell) - { } - - void reset (void) { - cell_matrix = 0.0; - } - }; - - struct ScratchData_K - { - FEValues fe_values_ref; - - std::vector < std::vector< double > > Nx; - std::vector < std::vector< Tensor<2, dim> > > grad_Nx; - std::vector < std::vector< SymmetricTensor<2, dim> > > symm_grad_Nx; - - ScratchData_K ( const FiniteElement & fe_cell, - const QGauss & qf_cell, - const UpdateFlags uf_cell) - : - fe_values_ref (fe_cell, - qf_cell, - uf_cell), - Nx (qf_cell.size(), - std::vector< double >(fe_cell.dofs_per_cell)), - grad_Nx (qf_cell.size(), - std::vector< Tensor<2, dim> >(fe_cell.dofs_per_cell)), - symm_grad_Nx (qf_cell.size(), - std::vector< SymmetricTensor<2, dim> >(fe_cell.dofs_per_cell)) - { } - - ScratchData_K ( const ScratchData_K & rhs ) : - fe_values_ref ( rhs.fe_values_ref.get_fe(), - rhs.fe_values_ref.get_quadrature(), - rhs.fe_values_ref.get_update_flags() ), - Nx (rhs.Nx), - grad_Nx (rhs.grad_Nx), - symm_grad_Nx (rhs.symm_grad_Nx) - { } - - void reset (void) { - for (unsigned int q_point=0; q_point < grad_Nx.size(); ++q_point) { - for (unsigned int k=0; k < Nx.size(); ++k) { - Nx[q_point][k] = 0.0; - grad_Nx[q_point][k] = 0.0; - symm_grad_Nx[q_point][k] = 0.0; - } - } - } - - }; - - struct PerTaskData_F - { - Vector cell_rhs; - std::vector local_dof_indices; - - PerTaskData_F (const unsigned int dofs_per_cell) - : - cell_rhs (dofs_per_cell), - local_dof_indices (dofs_per_cell) - { } - - void reset (void) { cell_rhs = 0.0; } - }; - - struct ScratchData_F - { - FEValues fe_values_ref; - FEFaceValues fe_face_values_ref; - - std::vector < std::vector< double > > Nx; - std::vector < std::vector< SymmetricTensor<2, dim> > > symm_grad_Nx; - std::vector< Vector > rhs_values; - - // Solution data - std::vector< std::vector > > solution_grads; - - ScratchData_F ( const FiniteElement & fe_cell, - const QGauss & qf_cell, - const UpdateFlags uf_cell, - const QGauss & qf_face, - const UpdateFlags uf_face) - : - fe_values_ref (fe_cell, - qf_cell, - uf_cell), - fe_face_values_ref (fe_cell, - qf_face, - uf_face), - Nx (qf_cell.size(), - std::vector< double >(fe_cell.dofs_per_cell)), - symm_grad_Nx (qf_cell.size(), - std::vector< SymmetricTensor<2, dim> >(fe_cell.dofs_per_cell)), - rhs_values (qf_cell.size(), - Vector(dim)) - { } - - ScratchData_F ( const ScratchData_F & rhs ) - : - fe_values_ref ( rhs.fe_values_ref.get_fe(), - rhs.fe_values_ref.get_quadrature(), - rhs.fe_values_ref.get_update_flags() ), - fe_face_values_ref ( rhs.fe_face_values_ref.get_fe(), - rhs.fe_face_values_ref.get_quadrature(), - rhs.fe_face_values_ref.get_update_flags() ), - Nx (rhs.Nx), - symm_grad_Nx (rhs.symm_grad_Nx), - rhs_values (rhs.rhs_values) - { } - - void reset (void) { - for (unsigned int q_point=0; q_point < symm_grad_Nx.size(); ++q_point) { - for (unsigned int k=0; k < symm_grad_Nx[q_point].size(); ++k) { - Nx[q_point][k] = 0.0; - symm_grad_Nx[q_point][k] = 0.0; - rhs_values[q_point] = 0.0; - } - } - } - - }; - - struct PerTaskData_SC - { - FullMatrix cell_matrix; - std::vector local_dof_indices; - - // Calculation matrices (auto resized) - FullMatrix K_orig; - FullMatrix K_pu; - FullMatrix K_pt; - FullMatrix K_tt; - // Calculation matrices (manual resized) - FullMatrix K_pt_inv; - FullMatrix K_tt_inv; - FullMatrix K_con; - FullMatrix A; - FullMatrix B; - FullMatrix C; - - PerTaskData_SC (const unsigned int & dofs_per_cell, - const unsigned int & n_u, - const unsigned int & n_p, - const unsigned int & n_t) - : - cell_matrix (dofs_per_cell, - dofs_per_cell), - local_dof_indices (dofs_per_cell), - K_pt_inv (n_t, n_p), - K_tt_inv (n_t, n_t), - K_con (n_u, n_u), - A (n_t, n_u), - B (n_t, n_u), - C (n_p, n_u) - { } - - // Choose not to reset any data - // The matrix extraction and replacement tools will take care of this - void reset(void) { } - }; - - // Dummy struct for TBB - struct ScratchData_SC - { - ScratchData_SC (void) { } - ScratchData_SC (const ScratchData_SC & rhs) { } - void reset (void) { } - }; - - // Dummy struct for TBB - struct PerTaskData_UQPH - { - PerTaskData_UQPH (void) { } - void reset(void) { } - }; - - struct ScratchData_UQPH - { - FEValues fe_values_ref; - std::vector< Tensor< 2, dim> > solution_grads_u_total; - std::vector solution_values_p_total; - std::vector solution_values_t_total; - const BlockVector & solution_total; - - ScratchData_UQPH (const FiniteElement & fe_cell, - const QGauss & qf_cell, - const UpdateFlags uf_cell, - const BlockVector & solution_total) - : - fe_values_ref (fe_cell, - qf_cell, - uf_cell), - solution_grads_u_total (qf_cell.size()), - solution_values_p_total (qf_cell.size()), - solution_values_t_total (qf_cell.size()), - solution_total (solution_total) - { } - - ScratchData_UQPH (const ScratchData_UQPH & rhs) - : - fe_values_ref (rhs.fe_values_ref.get_fe(), - rhs.fe_values_ref.get_quadrature(), - rhs.fe_values_ref.get_update_flags()), - solution_grads_u_total (rhs.solution_grads_u_total), - solution_values_p_total (rhs.solution_values_p_total), - solution_values_t_total (rhs.solution_values_t_total), - solution_total (rhs.solution_total) - { } - - void reset (void) - { - // Is this necessary? Won't the call to fe_values.get_gradient overwrite this data? - for (unsigned int q=0; q < qf_cell.size(); ++q) - { - solution_grads_u_total[q] = 0.0; - solution_values_p_total[q] = 0.0; - solution_values_t_total[q] = 0.0; - } - } - }; - - // === METHODS === - - /// \brief Print out a greeting for the user - void make_grid (void); - /// \brief Setup the Finite Element system to be solved - void system_setup (void); - void determine_component_extractors(void); - - /// \brief Assemble the system and right hand side matrices using multi-threading - void assemble_system_K (void); - void assemble_system_K_one_cell (const typename DoFHandler::active_cell_iterator & cell, - ScratchData_K & scratch, - PerTaskData_K & data); - void copy_local_to_global_K (const PerTaskData_K & data); - void assemble_system_F (void); - void assemble_system_F_one_cell (const typename DoFHandler::active_cell_iterator & cell, - ScratchData_F & scratch, - PerTaskData_F & data); - void copy_local_to_global_F (const PerTaskData_F & data); - void assemble_SC (void); - void assemble_SC_one_cell (const typename DoFHandler::active_cell_iterator & cell, - ScratchData_SC & scratch, - PerTaskData_SC & data); - void copy_local_to_global_SC (const PerTaskData_SC & data); - /// \brief Apply Dirichlet boundary values - void make_constraints (const int & it_nr, - ConstraintMatrix & constraints); - - // /// \brief Setup the quadrature point history for each cell - void setup_qph(void); - // /// \brief Update the quadrature points stress and strain values, and fibre directions - void update_qph_incremental ( const BlockVector & solution_delta ); - void update_qph_incremental_one_cell (const typename DoFHandler::active_cell_iterator & cell, - ScratchData_UQPH & scratch, - PerTaskData_UQPH & data); - void copy_local_to_global_UQPH (const PerTaskData_UQPH & data) {} - /// \brief Solve for the displacement using a Newton-Rhapson method - void solve_nonlinear_timestep (BlockVector & solution_delta); - void solve_linear_system (BlockVector & newton_update); - - /// \brief Error measurement - void get_error_res (const BlockVector & residual, BlockVector & error_res); - void get_error_update (const BlockVector & newton_update, BlockVector & error_update); - double get_error_dil (void); - - // Solution - BlockVector get_solution_total (const BlockVector & solution_delta); - - // Postprocessing - void output_results(void); - - // === ATTRIBUTES === - // Parameters - Parameters::AllParameters parameters; - - // Geometry - Triangulation triangulation; // Describes the triangulation - - // Time - Time time; - TimerOutput timer; - - // === Quadrature points === - std::vector< PointHistory > quadrature_point_history; // Quadrature point history - - // === Finite element system === - DoFHandler dof_handler_ref; // Describes the degrees of freedom - const unsigned int degree; - const FESystem fe; // Describes the global FE system - - unsigned int dofs_per_cell; // Number of degrees of freedom on each cell - const FEValuesExtractors::Vector u_fe; - const FEValuesExtractors::Scalar p_fe; - const FEValuesExtractors::Scalar t_fe; - - // Block description - static const unsigned int n_blocks = 3; - static const unsigned int n_components = dim + 2; - static const unsigned int first_u_component = 0; - static const unsigned int p_component = dim; - static const unsigned int t_component = dim + 1; - - enum {u_dof=0 , p_dof, t_dof}; - std::vector dofs_per_block; - std::vector element_indices_u; - std::vector element_indices_p; - std::vector element_indices_t; - - // === Quadrature === - QGauss qf_cell; // Cell quadrature formula - QGauss qf_face; // Face quadrature formula - unsigned int n_q_points; // Number of quadrature points in a cell - unsigned int n_q_points_f; // Number of quadrature points in a face - - // === Stiffness matrix setup ==== - ConstraintMatrix constraints; // Matrix to keep track of all constraints - BlockSparsityPattern sparsity_pattern; // Sparsity pattern for the stiffness matrix - BlockSparseMatrix tangent_matrix; // Global stiffness matrix - BlockVector residual; // Holds the residual vector - BlockVector solution_n; // Holds the solution vector: Total displacement over all time-steps - }; - -// @sect3{Implementation of the Solid class} - -// @sect4{Public interface} - template - Solid::Solid (const std::string & input_file) - : - parameters (input_file), - triangulation (Triangulation::maximum_smoothing), - time (parameters.end_time, parameters.delta_t), - timer (std::cout, - TimerOutput::summary, - TimerOutput::wall_times), - dof_handler_ref (triangulation), - degree (parameters.poly_degree), - fe (FE_Q(parameters.poly_degree), dim, // displacement - FE_DGPMonomial(parameters.poly_degree-1), 1, // pressure - FE_DGPMonomial(parameters.poly_degree-1), 1), // dilatation - u_fe (first_u_component), - p_fe (p_component), - t_fe (t_component), - dofs_per_block (n_blocks), - qf_cell (parameters.quad_order), - qf_face (parameters.quad_order) - { - n_q_points = qf_cell.size(); - n_q_points_f = qf_face.size(); - dofs_per_cell = fe.dofs_per_cell; - determine_component_extractors(); - } - - template - Solid::~Solid (void) - { - dof_handler_ref.clear (); - } - - template - void Solid::run (void) - { - // Pre-processing - make_grid (); - system_setup (); - output_results (); // Output initial grid position - time.increment(); - - BlockVector solution_delta (dofs_per_block); - solution_delta.collect_sizes (); - - while (time.current() <= time.end()) { - solution_delta = 0.0; - - // Solve step and update total solution vector - solve_nonlinear_timestep (solution_delta); - solution_n += solution_delta; - - output_results (); - time.increment(); - } - } - -// @sect4{Solid::make_grid} - template - void Solid::make_grid (void) - { - GridGenerator::hyper_rectangle ( triangulation, - Point (0.0, 0.0, 0.0), - Point (1.0, 1.0, 1.0), - true ); - GridTools::scale (parameters.scale, triangulation); - - // Need to refine at least once for the indentation problem - if (parameters.global_refinement == 0) triangulation.refine_global (1); - else triangulation.refine_global (parameters.global_refinement); - - // Apply different BC's to a patch on the top surface - typename Triangulation::active_cell_iterator - cell = triangulation.begin_active(), - endc = triangulation.end(); - for (; cell!=endc; ++cell) - { - if (cell->at_boundary() == true) { - for (unsigned int face=0; face < GeometryInfo::faces_per_cell; ++face) { - // Find faces on the +y surface - if ( cell->face(face)->at_boundary() == true - && cell->face(face)->center()[2] == 1.0*parameters.scale) - { - if ( cell->face(face)->center()[0] < 0.5*parameters.scale - && cell->face(face)->center()[1] < 0.5*parameters.scale) - { - cell->face(face)->set_boundary_indicator (6); // Set a new boundary id on a patch - } - } - } - } - } - } - -// @sect4{Solid::system_setup} - template - void Solid::system_setup (void) - { - timer.enter_subsection ("Setup system"); - - // Number of components per block - std::vector block_component (n_components, u_dof); // Displacement - block_component[p_component] = p_dof; // Pressure - block_component[t_component] = t_dof; // Dilatation - - // Setup DOF handler - dof_handler_ref.distribute_dofs (fe); - DoFRenumbering::Cuthill_McKee (dof_handler_ref); - DoFRenumbering::component_wise (dof_handler_ref, block_component); - // Count number of dofs per block - DoFTools::count_dofs_per_block (dof_handler_ref, dofs_per_block, block_component); - - std::cout - << "Triangulation:" - << "\n\t Number of active cells: " << triangulation.n_active_cells() - << "\n\t Number of degrees of freedom: " << dof_handler_ref.n_dofs() - << std::endl; - - // the global system matrix will have the following structure - // | K'_uu | K_up | 0 | | dU_u | | dR_u | - // K = | K_pu | K_tt^-1 | K_pt^-1 | , dU = | dU_p | , dR = | dR_p | - // | 0 | K_tp | K_tt | | dU_t | | dR_t | - // reflect this structure in the sparsity pattern - Table<2,DoFTools::Coupling> coupling (n_components, n_components); - for (unsigned int ii = 0; ii < n_components; ++ii) { - for (unsigned int jj = ii; jj < n_components; ++jj) { - if ((ii < p_component) && (jj == t_component)) { - coupling[jj][ii] = DoFTools::none; - coupling[ii][jj] = DoFTools::none; - } - else { - coupling[ii][jj] = DoFTools::always; - coupling[jj][ii] = DoFTools::always; - } - } - } - - // Setup system matrix - tangent_matrix.clear (); - { - const unsigned int n_dofs_u = dofs_per_block[u_dof]; - const unsigned int n_dofs_p = dofs_per_block[p_dof]; - const unsigned int n_dofs_t = dofs_per_block[t_dof]; - - BlockCompressedSimpleSparsityPattern csp (n_blocks, n_blocks); - - csp.block(u_dof,u_dof).reinit (n_dofs_u, n_dofs_u); - csp.block(u_dof,p_dof).reinit (n_dofs_u, n_dofs_p); - csp.block(u_dof,t_dof).reinit (n_dofs_u, n_dofs_t); - - csp.block(p_dof,u_dof).reinit (n_dofs_p, n_dofs_u); - csp.block(p_dof,p_dof).reinit (n_dofs_p, n_dofs_p); - csp.block(p_dof,t_dof).reinit (n_dofs_p, n_dofs_t); - - csp.block(t_dof,u_dof).reinit (n_dofs_t, n_dofs_u); - csp.block(t_dof,p_dof).reinit (n_dofs_t, n_dofs_p); - csp.block(t_dof,t_dof).reinit (n_dofs_t, n_dofs_t); - csp.collect_sizes(); - - DoFTools::make_sparsity_pattern (dof_handler_ref, csp); - // DoFTools::make_sparsity_pattern (dof_handler_ref, csp, constraints, false); - // DoFTools::make_sparsity_pattern (dof_handler_ref, coupling, csp, constraints, false); - sparsity_pattern.copy_from (csp); - } - - - tangent_matrix.reinit (sparsity_pattern); - - // Setup storage vectors - residual.reinit (dofs_per_block); - residual.collect_sizes (); - - solution_n.reinit (dofs_per_block); - solution_n.collect_sizes (); - solution_n.block(t_dof) = 1.0; // Dilatation is 1 in the initial configuration - - // Set up the quadrature point history - setup_qph (); - - timer.leave_subsection(); - } - -// A way to extract subblocks from the matrix - template - void Solid::determine_component_extractors(void) - { - element_indices_u.clear(); - element_indices_p.clear(); - element_indices_t.clear(); - - for (unsigned int k=0; k < fe.dofs_per_cell; ++k) { - // 0 = u, 1 = p, 2 = dilatation interpolation fields - const unsigned int k_group = fe.system_to_base_index(k).first.first; - if (k_group == u_dof) { - element_indices_u.push_back(k); - } - else if (k_group == p_dof) { - element_indices_p.push_back(k); - } - else if (k_group == t_dof) { - element_indices_t.push_back(k); - } - else { - Assert (k_group <= t_dof, ExcInternalError()); - } - } - } - -// @sect4{Solid::setup_qph} - template - void Solid::setup_qph (void) - { - std::cout << " Setting up quadrature point data..." << std::endl; - - { - typename Triangulation::active_cell_iterator - cell = triangulation.begin_active(), - endc = triangulation.end(); - - unsigned int our_cells = 0; - for (; cell != endc; ++cell) { - cell->clear_user_pointer(); - ++our_cells; - } - - { - std::vector > tmp; - tmp.swap(quadrature_point_history); - } - - quadrature_point_history.resize(our_cells * n_q_points); - - unsigned int history_index = 0; - for (cell = triangulation.begin_active(); cell != endc; ++cell) { - cell->set_user_pointer(&quadrature_point_history[history_index]); - history_index += n_q_points; - } - - Assert(history_index == quadrature_point_history.size(), ExcInternalError()); - } - - // Setup initial data - typename DoFHandler::active_cell_iterator - cell = dof_handler_ref.begin_active(), - endc = dof_handler_ref.end(); - for (; cell != endc; ++cell) { - PointHistory* lqph = reinterpret_cast*> (cell->user_pointer()); - Assert(lqph >= &quadrature_point_history.front(), ExcInternalError()); - Assert(lqph < &quadrature_point_history.back(), ExcInternalError()); - - // Setup any initial information at displacement gauss points - for (unsigned int q_point = 0; q_point < n_q_points; ++q_point) { - lqph[q_point].setup_lqp( parameters ); - } - } - } - -// @sect4{Solid::update_qph_incremental} - template - void Solid::update_qph_incremental (const BlockVector & solution_delta) - { - timer.enter_subsection("Update QPH data"); - std::cout << "Update QPH data..."<< std::endl; - - // Get total solution as it stands at this update increment - const BlockVector solution_total = get_solution_total(solution_delta); - const UpdateFlags uf_UQPH ( update_values | update_gradients ); - PerTaskData_UQPH per_task_data_UQPH; - ScratchData_UQPH scratch_data_UQPH (fe, - qf_cell, - uf_UQPH, - solution_total); - - WorkStream::run ( dof_handler_ref.begin_active(), - dof_handler_ref.end(), - *this, - &Solid::update_qph_incremental_one_cell, - &Solid::copy_local_to_global_UQPH, - scratch_data_UQPH, - per_task_data_UQPH); - - timer.leave_subsection(); - } - - template - void Solid::update_qph_incremental_one_cell (const typename DoFHandler::active_cell_iterator & cell, - ScratchData_UQPH & scratch, - PerTaskData_UQPH & data) - { - PointHistory* lqph = reinterpret_cast*> (cell->user_pointer()); - Assert(lqph >= &quadrature_point_history.front(), ExcInternalError()); - Assert(lqph < &quadrature_point_history.back(), ExcInternalError()); - - Assert(scratch.solution_grads_u_total.size() == n_q_points, ExcInternalError()); - Assert(scratch.solution_values_p_total.size() == n_q_points, ExcInternalError()); - Assert(scratch.solution_values_t_total.size() == n_q_points, ExcInternalError()); - - // Find the values and gradients at quadrature points inside the current cell - scratch.fe_values_ref.reinit(cell); - scratch.fe_values_ref[u_fe].get_function_gradients (scratch.solution_total, scratch.solution_grads_u_total); - scratch.fe_values_ref[p_fe].get_function_values (scratch.solution_total, scratch.solution_values_p_total); - scratch.fe_values_ref[t_fe].get_function_values (scratch.solution_total,scratch. solution_values_t_total); - - // === UPDATE DATA AT EACH GAUSS POINT === - // Update displacement and deformation gradient at all quadrature points - for (unsigned int q_point = 0; q_point < n_q_points; ++q_point) { - lqph[q_point].update_values (scratch.solution_grads_u_total [q_point], - scratch.solution_values_p_total[q_point], - scratch.solution_values_t_total[q_point]); - } - } - -// @sect4{Solid::solve_nonlinear_timestep} - template - void Solid::solve_nonlinear_timestep (BlockVector & solution_delta) - { - // timer.enter_subsection("Nonlinear solver"); - std::cout - << "Timestep " << time.get_timestep() - << std::endl; - - // Newton update vector - BlockVector newton_update (dofs_per_block); - newton_update.collect_sizes (); - - // Solution error vectors - BlockVector soln_error_res (dofs_per_block); // Holds the true residual vector - BlockVector soln_error_update (dofs_per_block); // Holds the update error vector - soln_error_res.collect_sizes (); - soln_error_update .collect_sizes (); - - double res_u = 0.0, res_f = 0.0; - double res_u_0 = 1.0, res_f_0 = 1.0; - for (unsigned int it_nr=0; it_nr < parameters.max_iterations_NR; ++ it_nr) - { - std::cout - << std::endl - << "Newton iteration: " << it_nr - << std::endl; - - tangent_matrix = 0.0; - residual = 0.0; - - // Check residual - make_constraints (it_nr, constraints); // Make boundary conditions - assemble_system_F (); // Assemble RHS - get_error_res(residual, soln_error_res); - // Residual scaling factors - res_f = soln_error_res.block(u_dof).l2_norm(); - if (it_nr == 0) res_f_0 = res_f; - - // Check for solution convergence - if ( it_nr > 0 - && res_u/res_u_0 <= parameters.tol_u - && res_f/res_f_0 <= parameters.tol_f) - { - std::cout - << std::endl - << "Solution for timestep " << time.get_timestep() - << " converged on Newton iteration " << it_nr-1 << "." - << std::endl - << "Relative displacement error: " << res_u/res_u_0 - << "\t Relative force error: " << res_f/res_f_0 - << "\t Dilatation error: " << get_error_dil() - << std::endl << std::endl; - - // timer.leave_subsection(); - return; - } - - // No convergence -> continue with calculations - // Assemble stiffness matrix - assemble_system_K (); - - // Do the static condensation to make K'_uu, and put K_pt^{-1} - // in the K_pt block and K_tt^{-1} in the K_pp block - assemble_SC(); - - - // Do the static condensation to make K'_uu, and put K_pt^{-1} - // in the K_pt block and K_tt^{-1} in the K_pp block - assemble_SC(); - - constraints.condense (tangent_matrix, residual); // Apply BC's - solve_linear_system (newton_update); - constraints.distribute(newton_update); // Populate the constrained DOF's with their values - - // Newton update error - get_error_update(newton_update, soln_error_update); - res_u = soln_error_update.block(u_dof).l2_norm(); - - // Residual scaling factors - if (it_nr == 0) res_u_0 = res_u; - std::cout - << "Nonlinear system error: " - << std::endl << std::scientific - << " Solution update \t ||dU||: " << soln_error_update.l2_norm() - << "\t ||dU_u||: " << soln_error_update.block(u_dof).l2_norm() - << "\t ||dU_p||: " << soln_error_update.block(p_dof).l2_norm() - << "\t ||dU_t||: " << soln_error_update.block(t_dof).l2_norm() - << std::endl; - std::cout << std::scientific - << " Residual \t ||dF||: " << soln_error_res.l2_norm() - << "\t ||dR_u||: " << soln_error_res.block(u_dof).l2_norm() - << "\t ||dR_p||: " << soln_error_res.block(p_dof).l2_norm() - << "\t ||dR_t||: " << soln_error_res.block(t_dof).l2_norm() - << std::endl; - std::cout << std::scientific - << " Relative displacement error: " << res_u/res_u_0 - << "\t Relative force error: " << res_f/res_f_0 - << "\t Dilatation error: " << get_error_dil() - << std::endl; - - // Update and continue iterating - solution_delta += newton_update; // Update current solution - update_qph_incremental (solution_delta); // Update quadrature point information - } - - throw(ExcMessage("No convergence in nonlinear solver!")); - } - - template - void Solid::get_error_res (const BlockVector & residual, BlockVector & error_res) - { - for (unsigned int i=0; i < dof_handler_ref.n_dofs(); ++i) - if (!constraints.is_constrained(i)) - error_res(i) = residual(i); - } - - template - void Solid::get_error_update (const BlockVector & newton_update, BlockVector & error_update) - { - for (unsigned int i=0; i < dof_handler_ref.n_dofs(); ++i) - if (!constraints.is_constrained(i)) - error_update(i) = newton_update(i); - } - - template - double Solid::get_error_dil (void) - { - double v_e = 0.0; // Volume in current configuration - double V_e = 0.0; // Volume in reference configuration - - FEValues fe_values_ref (fe, qf_cell, update_JxW_values); - - typename DoFHandler::active_cell_iterator - cell = dof_handler_ref.begin_active(), - endc = dof_handler_ref.end(); - for (; cell != endc; ++cell) { - fe_values_ref.reinit (cell); - PointHistory* lqph = reinterpret_cast*> (cell->user_pointer()); - Assert(lqph >= &quadrature_point_history.front(), ExcInternalError()); - Assert(lqph < &quadrature_point_history.back(), ExcInternalError()); - - for (unsigned int q_point=0; q_point < n_q_points; ++q_point) { - v_e += lqph[q_point].get_dilatation() * fe_values_ref.JxW(q_point); - V_e += fe_values_ref.JxW(q_point); - } - } - - return std::abs((v_e - V_e)/V_e); // Difference between initial and current volume - } - -// Solution (valid at any Newton step) - template - BlockVector Solid::get_solution_total (const BlockVector & solution_delta) - { - BlockVector solution_total (solution_n); - solution_total += solution_delta; - - return solution_total; - } - -// @sect4{Solid::solve_linear_system} - template - void Solid::solve_linear_system (BlockVector & newton_update) - { - std::cout << "Solve linear system..." << std::endl; - - BlockVector A (dofs_per_block); - BlockVector B (dofs_per_block); - A.collect_sizes (); - B.collect_sizes (); - - // | K'_uu | K_up | 0 | | dU_u | | dR_u | - // K = | K_pu | K_tt^-1 | K_pt^-1 | , dU = | dU_p | , dR = | dR_p | - // | 0 | K_tp | K_tt | | dU_t | | dR_t | - - // Solve for du - { - - // K'uu du = Ru − Kup Ktp^-1 (Rt − Ktt Kpt^{-1} Rp) - tangent_matrix.block(p_dof, t_dof).vmult(A.block(t_dof), residual.block(p_dof)); - tangent_matrix.block(t_dof, t_dof).vmult (B.block(t_dof), A.block(t_dof)); - A.block(t_dof).equ(1.0, residual.block(t_dof), -1.0, B.block(t_dof)); - tangent_matrix.block(p_dof, t_dof).Tvmult(A.block(p_dof), A.block(t_dof)); - tangent_matrix.block(u_dof, p_dof).vmult(A.block(u_dof), A.block(p_dof)); - residual.block(u_dof) -= A.block(u_dof); - - timer.enter_subsection("Linear solver"); - if (parameters.type_lin == "CG") - { - const int solver_its = tangent_matrix.block(u_dof, u_dof).m() * parameters.max_iterations_lin; - const double tol_sol = parameters.tol_lin * residual.block(u_dof).l2_norm(); - - SolverControl solver_control (solver_its , tol_sol); - - GrowingVectorMemory < Vector > GVM; - SolverCG < Vector > solver_CG (solver_control, GVM); - - // SSOR -> much better than Jacobi for symmetric systems - PreconditionSSOR > preconditioner; - preconditioner.initialize (tangent_matrix.block(u_dof, u_dof), parameters.ssor_relaxation); - - solver_CG.solve (tangent_matrix.block(u_dof, u_dof), - newton_update.block(u_dof), - residual.block(u_dof), - preconditioner); - - std::cout - << "\t Iterations: " << solver_control.last_step() - << "\n\t Residual: " << solver_control.last_value() - << std::endl; - } - else if (parameters.type_lin == "Direct") - { - SparseDirectUMFPACK A_direct; - A_direct.initialize(tangent_matrix.block(u_dof, u_dof)); - A_direct.vmult (newton_update.block(u_dof), - residual.block(u_dof)); - } - else throw (ExcMessage("Linear solver type not implemented")); - timer.leave_subsection(); - } - - timer.enter_subsection("Linear solver postprocessing"); - // Postprocess for dp - { - // dp = Ktp^{-1} ( Rt − Ktt Kpt^{-1} (Rp − Kpu du) ) - tangent_matrix.block(p_dof, u_dof).vmult (A.block(p_dof), newton_update.block(u_dof)); - B.block(p_dof).equ(1.0, residual.block(p_dof), -1.0, A.block(p_dof)); - tangent_matrix.block(p_dof, t_dof).vmult(A.block(t_dof), B.block(p_dof)); - tangent_matrix.block(t_dof, t_dof).vmult(B.block(t_dof), A.block(t_dof)); - A.block(t_dof).equ (1.0, residual.block(t_dof), -1.0, B.block(t_dof)); - tangent_matrix.block(p_dof, t_dof).Tvmult (newton_update.block(p_dof), A.block(t_dof)); - } - - // Postprocess for dt - { - // dt = Ktt^{-1} (Rt − Ktp dp) - tangent_matrix.block(t_dof, p_dof).vmult (A.block(t_dof), newton_update.block(p_dof)); - residual.block(t_dof) -= A.block(t_dof); - tangent_matrix.block(p_dof, p_dof).vmult (newton_update.block(t_dof), residual.block(t_dof)); - } - timer.leave_subsection(); - } - -// @sect4{Solid::assemble_system_K} - template - void Solid::assemble_system_K (void) - { - timer.enter_subsection("Assemble system matrix"); - std::cout << "Assemble system matrix..."<< std::endl; - - tangent_matrix = 0.0; // Clear the matrix - - const UpdateFlags uf_cell ( update_values | update_gradients | update_JxW_values ); - - PerTaskData_K per_task_data (dofs_per_cell); // Initialise members of per_task_data to the correct sizes. - ScratchData_K scratch_data (fe, qf_cell, uf_cell); - - WorkStream::run ( dof_handler_ref.begin_active(), - dof_handler_ref.end(), - *this, - &Solid::assemble_system_K_one_cell, - &Solid::copy_local_to_global_K, - scratch_data, - per_task_data); - - timer.leave_subsection(); - } - - template - void Solid::copy_local_to_global_K (const PerTaskData_K & data) - { - // Add the local contribution to the system matrix - for (unsigned int i=0; i - void Solid::assemble_system_K_one_cell (const typename DoFHandler::active_cell_iterator & cell, - ScratchData_K & scratch, - PerTaskData_K & data) - { - data.reset(); // Reset data in the PerTaskData_K storage unit - scratch.reset(); // Reset data in the Scratch storage unit - scratch.fe_values_ref.reinit (cell); - cell->get_dof_indices (data.local_dof_indices); // Find out which global numbers the degrees of freedom on this cell have - PointHistory *lqph = reinterpret_cast*>(cell->user_pointer()); - - // Set up cell shape function gradients - static const SymmetricTensor<2, dim> I = unit_symmetric_tensor (); - for (unsigned int q_point=0; q_point < n_q_points; ++q_point) { - const Tensor<2, dim> F_inv = lqph[q_point].get_F_inv(); - - for (unsigned int k=0; k< dofs_per_cell; ++k) { - const unsigned int k_group = fe.system_to_base_index(k).first.first; - - if (k_group == u_dof) { - scratch.grad_Nx[q_point][k] = scratch.fe_values_ref[u_fe].gradient(k, q_point) * F_inv; - scratch.symm_grad_Nx[q_point][k] = symmetrize(scratch.grad_Nx[q_point][k]); - } - else if (k_group == p_dof) { - scratch.Nx[q_point][k] = scratch.fe_values_ref[p_fe].value(k, q_point); - } - else if (k_group == t_dof) { - scratch.Nx[q_point][k] = scratch.fe_values_ref[t_fe].value(k, q_point); - } - else { - Assert (k_group <= t_dof, ExcInternalError()); - } - } - } - - // Build cell stiffness matrix - // Global and local system matrices are symmetric - // => Take advantage of this: Build only the lower half of the local matrix - // Only assemble 1/2 of the K_uu, K_pp = 0, K_tt blocks and the whole K_pt, K_ut, K_up blocks - for (unsigned int q_point=0; q_point < n_q_points; ++q_point) { - const Tensor <2,dim> T = static_cast < Tensor<2, dim> > (lqph[q_point].get_T_iso() + lqph[q_point].get_T_vol()); - const SymmetricTensor <4,dim> C = lqph[q_point].get_C_iso() + lqph[q_point].get_C_vol(); - const double C_v = lqph[q_point].get_d2U_dtheta2(); - const double J = lqph[q_point].get_J(); - - const std::vector & N = scratch.Nx[q_point]; - const std::vector< SymmetricTensor <2,dim> > & symm_B = scratch.symm_grad_Nx[q_point]; - const std::vector< Tensor <2,dim> > & B = scratch.grad_Nx[q_point]; - const double & JxW = scratch.fe_values_ref.JxW(q_point); - - for (unsigned int i=0; i < dofs_per_cell; ++i) { - - const unsigned int component_i = fe.system_to_component_index(i).first; - const unsigned int i_group = fe.system_to_base_index(i).first.first; - - // Only assemble the lower diagonal part of the local matrix - for (unsigned int j=0; j <= i; ++j) { - - const unsigned int component_j = fe.system_to_component_index(j).first; - const unsigned int j_group = fe.system_to_base_index(j).first.first; - - if ( (i_group == j_group) && (i_group == u_dof ) ) { - data.cell_matrix(i,j) - += ( symm_B[i] * C * symm_B[j] // Material stiffness - + ( component_i == component_j ? - B[i][component_i] * T * B[j][component_j] : - 0.0 ) // Geometric stiffness. Only add this along local diagonals - ) * JxW; // K_uu - } - else if ( (i_group == p_dof) && (j_group == u_dof) ) { - data.cell_matrix(i,j) += N[i]*J*(symm_B[j]*I)*JxW; // K_pu - } - else if ( (i_group == t_dof) && (j_group == p_dof) ) { - data.cell_matrix(i,j) -= N[i]*N[j]*JxW; // K_tp - } - else if ( (i_group == j_group) && (i_group == t_dof) ) { - data.cell_matrix(i,j) += N[i]*C_v*N[j]*JxW; // K_tt - } - else Assert ((i_group <= t_dof) && (j_group <= t_dof), ExcInternalError()); - } // END j LOOP - } // END i LOOP - - } // END q_point LOOP - - // Global and local system matrices are symmetric - // => Copy the upper half of the local matrix in the bottom half of the local matrix - for (unsigned int i=0; i - void Solid::assemble_system_F (void) - { - timer.enter_subsection("Assemble system RHS"); - std::cout << "Assemble system RHS..."<< std::endl; - - residual = 0.0; // Clear the vector - - const UpdateFlags uf_cell ( update_values | update_gradients | update_JxW_values ); - const UpdateFlags uf_face ( update_values | update_normal_vectors | update_JxW_values); - - PerTaskData_F per_task_data (dofs_per_cell); // Initialise members of per_task_data to the correct sizes. - ScratchData_F scratch_data (fe, - qf_cell, - uf_cell, - qf_face, - uf_face); - - WorkStream::run ( dof_handler_ref.begin_active(), - dof_handler_ref.end(), - *this, - &Solid::assemble_system_F_one_cell, - &Solid::copy_local_to_global_F, - scratch_data, - per_task_data ); - - timer.leave_subsection(); - } - - template - void Solid::copy_local_to_global_F (const PerTaskData_F & data) - { - // Add the local contribution to the system RHS vector - for (unsigned int i=0; i - void Solid::assemble_system_F_one_cell (const typename DoFHandler::active_cell_iterator & cell, - ScratchData_F & scratch, - PerTaskData_F & data) - { - data.reset(); // Reset data in the PerTaskData_K storage unit - scratch.reset(); // Reset data in the ScratchData_F storage unit - scratch.fe_values_ref.reinit (cell); - cell->get_dof_indices (data.local_dof_indices); // Find out which global numbers the degrees of freedom on this cell have - PointHistory *lqph = reinterpret_cast*>(cell->user_pointer()); - - // Precompute some data - for (unsigned int q_point=0; q_point < n_q_points; ++q_point) { - const Tensor<2, dim> F_inv = lqph[q_point].get_F_inv(); - - for (unsigned int k=0; k T = lqph[q_point].get_T_iso() + lqph[q_point].get_T_vol(); - const double J = lqph[q_point].get_J(); - const double D = lqph[q_point].get_dilatation(); - const double p = lqph[q_point].get_pressure(); - const double p_star = lqph[q_point].get_dU_dtheta(); - - const std::vector< double > & N = scratch.Nx[q_point]; - const std::vector< SymmetricTensor <2,dim> > & symm_B = scratch.symm_grad_Nx[q_point]; - const double JxW = scratch.fe_values_ref.JxW(q_point); - - for (unsigned int i=0; iat_boundary() == true) - { - static const Tensor <2, dim> I = static_cast < Tensor <2, dim> > ( unit_symmetric_tensor () ); - - for (unsigned int face=0; face < GeometryInfo::faces_per_cell; ++face) - { - if ( cell->face(face)->at_boundary() == true - && cell->face(face)->boundary_indicator() == 6 ) - { - scratch.fe_face_values_ref.reinit (cell, face); - - for (unsigned int f_q_point=0; f_q_point < n_q_points_f; ++f_q_point) - { - const Tensor <1, dim> & N = scratch.fe_face_values_ref.normal_vector(f_q_point); - - // Traction in reference configuration - // t_0 = p*N - static const double p0 = -4.0/(parameters.scale*parameters.scale); // Reference pressure of 4 Pa - const double time_ramp = (time.current() / time.end()); // Linearly ramp up the pressure with time - const double pressure = p0 * parameters.p_p0 * time_ramp; - const Tensor <1,dim> traction = pressure * N; - - for (unsigned int i=0; i < dofs_per_cell; ++i) { - // Determine the dimensional component that matches the dof component (i.e. i % dim) - const unsigned int i_group = fe.system_to_base_index(i).first.first; - - if (i_group == u_dof) { - const unsigned int component_i = fe.system_to_component_index(i).first; - const double & Ni = scratch.fe_face_values_ref.shape_value(i,f_q_point); - const double & JxW = scratch.fe_face_values_ref.JxW(f_q_point); - - // Add traction vector contribution to the local RHS vector (displacement dofs only) - data.cell_rhs(i) += (Ni * traction[component_i]) // Contribution from external forces - * JxW; - } - } // END i LOOP - } // END face q_point LOOP - } // END at boundary check LOOP - - } // END face LOOP - } - } - -// @sect4{Solid::assemble_system_SC} - template - void Solid::assemble_SC (void) - { - timer.enter_subsection("Perform static condensation"); - - PerTaskData_SC per_task_data (dofs_per_cell, - element_indices_u.size(), - element_indices_p.size(), - element_indices_t.size()); // Initialise members of per_task_data to the correct sizes. - ScratchData_SC scratch_data; - - WorkStream::run ( dof_handler_ref.begin_active(), - dof_handler_ref.end(), - *this, - &Solid::assemble_SC_one_cell, - &Solid::copy_local_to_global_SC, - scratch_data, - per_task_data ); - - timer.leave_subsection(); - } - - template - void Solid::copy_local_to_global_SC (const PerTaskData_SC & data) - { - // Add the local contribution to the system matrix - for (unsigned int i=0; i - void Solid::assemble_SC_one_cell (const typename DoFHandler::active_cell_iterator & cell, - ScratchData_SC & scratch, - PerTaskData_SC & data) - { - data.reset(); - scratch.reset(); - cell->get_dof_indices (data.local_dof_indices); // Find out which global numbers the degrees of freedom on this cell have - - // The local stifness matrix K_e is: - // | K_uu | K_up | 0 | - // | K_pu | 0 | K_pt | - // | 0 | K_tp | K_tt | - // - // We are going to exploit the zeros for post-processing as: - // | K'_uu | K_up | 0 | - // | K_pu | K_tt^-1 | K_pt^-1 | - // | 0 | K_tp | K_tt | - // with K'_uu = K_uu + Kup Ktp^{-1} Ktt Kpt^{-1} Kpu - - // NOTE: - // GLOBAL Data already exists in the K_uu, K_pt, K_tp subblocks - // - // For the K_uu block in particular, this means that contributions have been - // added from the surrounding cells, so we need to be careful when we manipulate this block. - // We can't just erase the subblocks and - // Additionally the copy_local_to_global operation is a "+=" operation -> need to take this - // into account - // - // So the intermediate matrix that we need to get from what we have in K_uu and what we - // are actually wanting is: - // | K'_uu - K_uu | 0 | 0 | - // | 0 | K_tt^-1 | K_pt^-1 - K_pt | - // | 0 | 0 | 0 | - // - // Strategy to get the subblocks we want: - // K'_uu: Since we don't have access to K_uu^h, but we know its contribution is added to the global - // K_uu matrix, we just want to add the element wise static-condensation - // K'_uu^h = K_uu^h + K_up^h K_tp^{-1}^h K_tt^h K_pt^{-1}^h K_pu^h - // Since we already have K_uu^h in the system matrix, we just need to do the following - // K'_uu^h == (K_uu^h += K_up^h K_tp^{-1}^h K_tt^h K_pt^{-1}^h K_pu^h) - // K_pt^-1: Similarly, K_pt exists in the subblock. Since the copy operation is a += operation, we need - // to subtract the existing K_pt submatrix in addition to "adding" that which we wish to - // replace it with. - // K_tp^-1: Same as above - // K_tt^-1: Nothing exists in the original K_pp subblock, so we can just add this contribution as is. - - // Extract element data from the system matrix - - AdditionalTools::extract_submatrix(data.local_dof_indices, - data.local_dof_indices, - tangent_matrix, - data.K_orig); - AdditionalTools::extract_submatrix(element_indices_p, - element_indices_u, - data.K_orig, - data.K_pu); - AdditionalTools::extract_submatrix(element_indices_p, - element_indices_t, - data.K_orig, - data.K_pt); - AdditionalTools::extract_submatrix(element_indices_t, - element_indices_t, - data.K_orig, - data.K_tt); - - // Place K_pt^-1 in the K_pt block - data.K_pt_inv.invert(data.K_pt); - data.K_pt_inv.add (-1.0, data.K_pt); - AdditionalTools::replace_submatrix(element_indices_p, - element_indices_t, - data.K_pt_inv, - data.cell_matrix); - - // Place K_tt^-1 in the K_pp block - data.K_tt_inv.invert(data.K_tt); - AdditionalTools::replace_submatrix(element_indices_p, - element_indices_p, - data.K_tt_inv, - data.cell_matrix); - - // Make condensation terms to add to the K_uu block - data.K_pt_inv.mmult(data.A, data.K_pu); - data.K_tt.mmult(data.B, data.A); - data.K_pt_inv.Tmmult(data.C, data.B); // Symmetric matrix - data.K_pu.Tmmult(data.K_con, data.C); // Symmetric matrix - AdditionalTools::replace_submatrix(element_indices_u, - element_indices_u, - data.K_con, - data.cell_matrix); - } - -// @sect4{Solid::make_constraints} - template - void Solid::make_constraints (const int & it_nr, - ConstraintMatrix & constraints) - { - std::cout << "Make constraints..."<< std::endl; - - constraints.clear(); - const bool apply_dirichlet_bc = (it_nr == 0); - - // Boundary conditions: - // b_id 0: -x face: Zero x-component of displacement : Symmetry plane - // b_id 2: -y face: Zero y-component of displacement : Symmetry plane - // b_id 4: -z face: Zero z-component of displacement : Symmetry plane - - // b_id 5: +z face: Zero x-component and Zero y-component - // b_id 6: Applied pressure face: Zero x-component and Zero y-component - // b_id 1: +x face: Traction free - // b_id 3: +y face: Traction free - { - const int boundary_id = 0; - - std::vector< bool > components (n_components, false); - components[0] = true; - - if (apply_dirichlet_bc == true) { - VectorTools::interpolate_boundary_values ( dof_handler_ref, boundary_id, ZeroFunction(n_components), constraints, components ); - } - else { - VectorTools::interpolate_boundary_values ( dof_handler_ref, boundary_id, ZeroFunction(n_components), constraints, components ); - } - } - { - const int boundary_id = 2; - - std::vector< bool > components (n_components, false); - components[1] = true; - - if (apply_dirichlet_bc == true) { - VectorTools::interpolate_boundary_values ( dof_handler_ref, boundary_id, ZeroFunction(n_components), constraints, components ); - } - else { - VectorTools::interpolate_boundary_values ( dof_handler_ref, boundary_id, ZeroFunction(n_components), constraints, components ); - } - } - { - const int boundary_id = 4; - std::vector< bool > components (n_components, false); - components[2] = true; - - if (apply_dirichlet_bc == true) { - VectorTools::interpolate_boundary_values ( dof_handler_ref, boundary_id, ZeroFunction(n_components), constraints, components ); - } - else { - VectorTools::interpolate_boundary_values ( dof_handler_ref, boundary_id, ZeroFunction(n_components), constraints, components ); - } - } - { - const int boundary_id = 5; - std::vector< bool > components (n_components, true); - components[2] = false; - - if (apply_dirichlet_bc == true) { - VectorTools::interpolate_boundary_values ( dof_handler_ref, boundary_id, ZeroFunction(n_components), constraints, components ); - } - else { - VectorTools::interpolate_boundary_values ( dof_handler_ref, boundary_id, ZeroFunction(n_components), constraints, components ); - } - } - { - const int boundary_id = 6; - std::vector< bool > components (n_components, true); - components[2] = false; - - if (apply_dirichlet_bc == true) { - VectorTools::interpolate_boundary_values ( dof_handler_ref, boundary_id, ZeroFunction(n_components), constraints, components ); - } - else { - VectorTools::interpolate_boundary_values ( dof_handler_ref, boundary_id, ZeroFunction(n_components), constraints, components ); - } - } - - constraints.close(); - } - -// @sect4{Solid::output_results} - template - void Solid::output_results(void) - { - DataOut data_out; - - std::vector data_component_interpretation (dim, DataComponentInterpretation::component_is_part_of_vector); - data_component_interpretation.push_back (DataComponentInterpretation::component_is_scalar); - data_component_interpretation.push_back (DataComponentInterpretation::component_is_scalar); - - std::vector solution_name (dim, "displacement"); - solution_name.push_back ("pressure"); - solution_name.push_back ("dilatation"); - - data_out.attach_dof_handler (dof_handler_ref); - data_out.add_data_vector (solution_n, - solution_name, - DataOut::type_dof_data, data_component_interpretation); - // MappingQEulerian q_mapping (degree, solution_n.block(u_dof), dof_handler_ref); - // MappingQEulerian q_mapping (degree, solution_n, dof_handler_ref); - Vector soln; - soln.reinit(solution_n.size()); - for (unsigned int i=0; i < soln.size(); ++i) soln(i) = solution_n(i); - MappingQEulerian q_mapping (degree, soln, dof_handler_ref); - data_out.build_patches (q_mapping,degree); - - std::ostringstream filename; - filename << "solution-" - << time.get_timestep() - << ".vtk"; - - std::ofstream output (filename.str().c_str()); - data_out.write_vtk (output); - } -} - - -// @sect3{Main function} -int main () -{ - try - { - using namespace dealii; - using namespace Step44; - - deallog.depth_console (0); - - Solid<3> solid_3d ("parameters.prm"); - solid_3d.run(); - } - catch (std::exception &exc) - { - std::cerr << std::endl << std::endl - << "----------------------------------------------------" - << std::endl; - std::cerr << "Exception on processing: " << std::endl - << exc.what() << std::endl - << "Aborting!" << std::endl - << "----------------------------------------------------" - << std::endl; - - return 1; - } - catch (...) - { - std::cerr << std::endl << std::endl - << "----------------------------------------------------" - << std::endl; - std::cerr << "Unknown exception!" << std::endl - << "Aborting!" << std::endl - << "----------------------------------------------------" - << std::endl; - return 1; - } - - return 0; -} - diff --git a/deal.II/examples/step-47/Makefile b/deal.II/examples/step-47/Makefile deleted file mode 100644 index 935b005b43..0000000000 --- a/deal.II/examples/step-47/Makefile +++ /dev/null @@ -1,143 +0,0 @@ -# $Id$ - - -# For the small projects Makefile, you basically need to fill in only -# four fields. -# -# The first is the name of the application. It is assumed that the -# application name is the same as the base file name of the single C++ -# file from which the application is generated. -target = step-47 - -# The second field determines whether you want to run your program in -# debug or optimized mode. The latter is significantly faster, but no -# run-time checking of parameters and internal states is performed, so -# you should set this value to `on' while you develop your program, -# and to `off' when running production computations. -debug-mode = off - - -# As third field, we need to give the path to the top-level deal.II -# directory. You need to adjust this to your needs. Since this path is -# probably the most often needed one in the Makefile internals, it is -# designated by a single-character variable, since that can be -# reference using $D only, i.e. without the parentheses that are -# required for most other parameters, as e.g. in $(target). -D = ../../ - - -# The last field specifies the names of data and other files that -# shall be deleted when calling `make clean'. Object and backup files, -# executables and the like are removed anyway. Here, we give a list of -# files in the various output formats that deal.II supports. -clean-up-files = *gmv *gnuplot *gpl *eps *pov *vtk *ucd *.d2 - - - - -# -# -# Usually, you will not need to change anything beyond this point. -# -# -# The next statement tells the `make' program where to find the -# deal.II top level directory and to include the file with the global -# settings -include $D/common/Make.global_options - - -# Since the whole project consists of only one file, we need not -# consider difficult dependencies. We only have to declare the -# libraries which we want to link to the object file. deal.II has two -# libraries: one for the debug mode version of the -# application and one for optimized mode. -libs.g := $(lib-deal2.g) -libs.o := $(lib-deal2.o) - - -# We now use the variable defined above to switch between debug and -# optimized mode to select the set of libraries to link with. Included -# in the list of libraries is the name of the object file which we -# will produce from the single C++ file. Note that by default we use -# the extension .g.o for object files compiled in debug mode and .o for -# object files in optimized mode (or whatever local default on your -# system is instead of .o) -ifeq ($(debug-mode),on) - libraries = $(target).g.$(OBJEXT) $(libs.g) -else - libraries = $(target).$(OBJEXT) $(libs.o) -endif - - -# Now comes the first production rule: how to link the single object -# file produced from the single C++ file into the executable. Since -# this is the first rule in the Makefile, it is the one `make' selects -# if you call it without arguments. -$(target)$(EXEEXT) : $(libraries) - @echo ============================ Linking $@ - @$(CXX) -o $@ $^ $(LIBS) $(LDFLAGS) - - -# To make running the application somewhat independent of the actual -# program name, we usually declare a rule `run' which simply runs the -# program. You can then run it by typing `make run'. This is also -# useful if you want to call the executable with arguments which do -# not change frequently. You may then want to add them to the -# following rule: -run: $(target)$(EXEEXT) - @echo ============================ Running $< - @./$(target)$(EXEEXT) - - -# As a last rule to the `make' program, we define what to do when -# cleaning up a directory. This usually involves deleting object files -# and other automatically created files such as the executable itself, -# backup files, and data files. Since the latter are not usually quite -# diverse, you needed to declare them at the top of this file. -clean: - -rm -f *.$(OBJEXT) *~ Makefile.dep $(target)$(EXEEXT) $(clean-up-files) - - -# Since we have not yet stated how to make an object file from a C++ -# file, we should do so now. Since the many flags passed to the -# compiler are usually not of much interest, we suppress the actual -# command line using the `at' sign in the first column of the rules -# and write the string indicating what we do instead. -./%.g.$(OBJEXT) : - @echo "==============debug========= $( $@" - @$(CXX) -w $(CXXFLAGS.g) -c $< -o $@ -./%.$(OBJEXT) : - @echo "==============optimized===== $( $@" - @$(CXX) $(CXXFLAGS.o) -c $< -o $@ - - -# The following statement tells make that the rules `run' and `clean' -# are not expected to produce files of the same name as Makefile rules -# usually do. -.PHONY: run clean - - -# Finally there is a rule which you normally need not care much about: -# since the executable depends on some include files from the library, -# besides the C++ application file of course, it is necessary to -# re-generate the executable when one of the files it depends on has -# changed. The following rule creates a dependency file -# `Makefile.dep', which `make' uses to determine when to regenerate -# the executable. This file is automagically remade whenever needed, -# i.e. whenever one of the cc-/h-files changed. Make detects whether -# to remake this file upon inclusion at the bottom of this file. -# -# If the creation of Makefile.dep fails, blow it away and fail -Makefile.dep: $(target).cc Makefile \ - $(shell echo $D/include/deal.II/*/*.h) - @echo ============================ Remaking $@ - @$D/common/scripts/make_dependencies $(INCLUDE) -B. $(target).cc \ - > $@ \ - || (rm -f $@ ; false) - @if test -s $@ ; then : else rm $@ ; fi - -# To make the dependencies known to `make', we finally have to include -# them: -include Makefile.dep - - diff --git a/deal.II/examples/step-47/doc/builds-on b/deal.II/examples/step-47/doc/builds-on deleted file mode 100644 index 9fdd726254..0000000000 --- a/deal.II/examples/step-47/doc/builds-on +++ /dev/null @@ -1 +0,0 @@ -step-5 diff --git a/deal.II/examples/step-47/doc/intro.dox b/deal.II/examples/step-47/doc/intro.dox deleted file mode 100644 index 1518606e43..0000000000 --- a/deal.II/examples/step-47/doc/intro.dox +++ /dev/null @@ -1,3 +0,0 @@ - -

Introduction

- diff --git a/deal.II/examples/step-47/doc/kind b/deal.II/examples/step-47/doc/kind deleted file mode 100644 index 15a13db451..0000000000 --- a/deal.II/examples/step-47/doc/kind +++ /dev/null @@ -1 +0,0 @@ -basic diff --git a/deal.II/examples/step-47/doc/points.dat b/deal.II/examples/step-47/doc/points.dat deleted file mode 100644 index 01ce16ad3c..0000000000 --- a/deal.II/examples/step-47/doc/points.dat +++ /dev/null @@ -1,21 +0,0 @@ -#xfem quadrature Points -0.781998 0.781998 -0.941587 0.72508 -0.72508 0.941587 -0.926335 0.926335 -0.397329 0.926335 -0.583333 0.72508 -0.583333 0.941587 -0.686004 0.781998 -0.72508 0.583333 -0.926335 0.397329 -0.781998 0.686004 -0.941587 0.583333 -0.115331 0.315492 -0.430422 0.60008 -0.069578 0.816587 -0.259669 0.892842 -0.315492 0.115331 -0.816587 0.069578 -0.60008 0.430422 -0.892842 0.259669 diff --git a/deal.II/examples/step-47/doc/results.dox b/deal.II/examples/step-47/doc/results.dox deleted file mode 100644 index f4c6feefb5..0000000000 --- a/deal.II/examples/step-47/doc/results.dox +++ /dev/null @@ -1 +0,0 @@ -

Results

diff --git a/deal.II/examples/step-47/doc/tooltip b/deal.II/examples/step-47/doc/tooltip deleted file mode 100644 index 00262bfbfb..0000000000 --- a/deal.II/examples/step-47/doc/tooltip +++ /dev/null @@ -1 +0,0 @@ -Adaptive local refinement. Higher order elements. \ No newline at end of file diff --git a/deal.II/examples/step-47/doc/vertices.dat b/deal.II/examples/step-47/doc/vertices.dat deleted file mode 100644 index 8d1ef87323..0000000000 --- a/deal.II/examples/step-47/doc/vertices.dat +++ /dev/null @@ -1,20 +0,0 @@ -#vertices of xfem subcells -0 0 -1 0 -1 1 -0 1 - -0.25 1 -1 0.25 - -0.625 0.625 -0.75 0.75 - -0.75 0.75 -0.625 1 - -0.75 0.75 -1 0.625 - -0 0 -0.625 0.625 diff --git a/deal.II/examples/step-47/step-47.cc b/deal.II/examples/step-47/step-47.cc deleted file mode 100644 index 0580e15af9..0000000000 --- a/deal.II/examples/step-47/step-47.cc +++ /dev/null @@ -1,1144 +0,0 @@ -/* $Id$ */ -/* Author: Wolfgang Bangerth, University of Heidelberg, 2000 */ - -/* $Id$ */ -/* */ -/* Copyright (C) 2011 by the deal.II authors */ -/* */ -/* This file is subject to QPL and may not be distributed */ -/* without copyright and license information. Please refer */ -/* to the file deal.II/doc/license.html for the text and */ -/* further information on this license. */ - - -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include - -#include -#include - -#include -#include - - -#include - -#include - -#include - -namespace Step47 -{ - using namespace dealii; - - - - double sign (double d) - { - if (d > 0) - return 1; - else if (d < 0) - return -1; - else - return 0; - } - - - template - class LaplaceProblem - { - public: - LaplaceProblem (); - ~LaplaceProblem (); - - void run (); - - private: - bool interface_intersects_cell (const typename Triangulation::cell_iterator &cell) const; - std::pair > compute_quadrature(const Quadrature &plain_quadrature, const typename hp::DoFHandler::active_cell_iterator &cell, const std::vector &level_set_values); - void append_quadrature(const Quadrature &plain_quadrature, - const std::vector > &v , - std::vector > &xfem_points, - std::vector &xfem_weights); - - void setup_system (); - void assemble_system (); - void solve (); - void refine_grid (); - void output_results (const unsigned int cycle) const; - void compute_error () const; - - Triangulation triangulation; - - hp::DoFHandler dof_handler; - hp::FECollection fe_collection; - - ConstraintMatrix constraints; - - SparsityPattern sparsity_pattern; - SparseMatrix system_matrix; - - Vector solution; - Vector system_rhs; - }; - - - - - template - class Coefficient : public Function - { - public: - Coefficient () : Function() {} - - virtual double value (const Point &p, - const unsigned int component = 0) const; - - virtual void value_list (const std::vector > &points, - std::vector &values, - const unsigned int component = 0) const; - }; - - - - template - double Coefficient::value (const Point &p, - const unsigned int) const - { - if (p.square() < 0.5*0.5) - return 20; - else - return 1; - } - - - - template - void Coefficient::value_list (const std::vector > &points, - std::vector &values, - const unsigned int component) const - { - const unsigned int n_points = points.size(); - - Assert (values.size() == n_points, - ExcDimensionMismatch (values.size(), n_points)); - - Assert (component == 0, - ExcIndexRange (component, 0, 1)); - - for (unsigned int i=0; i - double exact_solution (const Point &p) - { - const double r = p.norm(); - - return (r < 0.5 - ? - 1./20 * (-1./4*r*r + 61./16) - : - 1./4 * (1-r*r)); - } - - - template - LaplaceProblem::LaplaceProblem () - : - dof_handler (triangulation) - { - fe_collection.push_back (FESystem (FE_Q(1), 1, - FE_Nothing(), 1)); - fe_collection.push_back (FESystem (FE_Q(1), 1, - FE_Q(1), 1)); - } - - - - template - LaplaceProblem::~LaplaceProblem () - { - dof_handler.clear (); - } - - - - template - double - level_set (const Point &p) - { - return p.norm() - 0.5; - } - - - - template - Tensor<1,dim> - grad_level_set (const Point &p) - { - return p / p.norm(); - } - - - - template - bool - LaplaceProblem:: - interface_intersects_cell (const typename Triangulation::cell_iterator &cell) const - { - for (unsigned int v=0; v::vertices_per_cell-1; ++v) - if (level_set(cell->vertex(v)) * level_set(cell->vertex(v+1)) < 0) - return true; - - // we get here only if all vertices - // have the same sign, which means - // that the cell is not intersected - return false; - } - - - - template - void LaplaceProblem::setup_system () - { - for (typename hp::DoFHandler::cell_iterator cell - = dof_handler.begin_active(); - cell != dof_handler.end(); ++cell) - if (interface_intersects_cell(cell) == false) - cell->set_active_fe_index(0); - else - cell->set_active_fe_index(1); - - dof_handler.distribute_dofs (fe_collection); - - solution.reinit (dof_handler.n_dofs()); - system_rhs.reinit (dof_handler.n_dofs()); - - - constraints.clear (); -//TODO: fix this, it currently crashes - // DoFTools::make_hanging_node_constraints (dof_handler, - // constraints); - -//TODO: component 1 must satisfy zero boundary conditions - constraints.close(); - - - CompressedSparsityPattern c_sparsity(dof_handler.n_dofs()); - DoFTools::make_sparsity_pattern (dof_handler, c_sparsity); - - constraints.condense (c_sparsity); - - sparsity_pattern.copy_from(c_sparsity); - - system_matrix.reinit (sparsity_pattern); - } - - - template - void LaplaceProblem::assemble_system () - { - const QGauss quadrature_formula(3); - - - FEValues plain_fe_values (fe_collection[0], quadrature_formula, - update_values | update_gradients | - update_quadrature_points | update_JxW_values); - FEValues enriched_fe_values (fe_collection[1], quadrature_formula, - update_values | update_gradients | - update_quadrature_points | update_JxW_values); - - const unsigned int n_q_points = quadrature_formula.size(); - - FullMatrix cell_matrix; - Vector cell_rhs; - - std::vector local_dof_indices; - - const Coefficient coefficient; - std::vector coefficient_values (n_q_points); - - typename hp::DoFHandler::active_cell_iterator - cell = dof_handler.begin_active(), - endc = dof_handler.end(); - - for (; cell!=endc; ++cell) - { - const unsigned int dofs_per_cell = cell->get_fe().dofs_per_cell; - cell_matrix.reinit (dofs_per_cell, dofs_per_cell); - cell_rhs.reinit (dofs_per_cell); - - cell_matrix = 0; - cell_rhs = 0; - - if (cell->active_fe_index() == 0) - { - plain_fe_values.reinit (cell); - - coefficient_values.resize (plain_fe_values.n_quadrature_points); - coefficient.value_list (plain_fe_values.get_quadrature_points(), - coefficient_values); - - for (unsigned int q_point=0; q_pointactive_fe_index() == 1, ExcInternalError()); - Assert (interface_intersects_cell(cell) == true, ExcInternalError()); - - std::vector level_set_values (GeometryInfo::vertices_per_cell); - for (unsigned int v=0; v::vertices_per_cell; ++v) - level_set_values[v] = level_set (cell->vertex(v)); - - FEValues this_fe_values (fe_collection[1], - compute_quadrature(quadrature_formula, cell, - level_set_values).second, - update_values | update_gradients | - update_quadrature_points | update_JxW_values ); - - this_fe_values.reinit (cell); - - coefficient_values.resize (this_fe_values.n_quadrature_points); - coefficient.value_list (this_fe_values.get_quadrature_points(), - coefficient_values); - - for (unsigned int q_point=0; q_pointget_fe().system_to_component_index(i).first == 0) - { - for (unsigned int j=0; jget_fe().system_to_component_index(j).first == 0) - cell_matrix(i,j) += (coefficient_values[q_point] * - this_fe_values.shape_grad(i,q_point) * - this_fe_values.shape_grad(j,q_point) * - this_fe_values.JxW(q_point)); - else - cell_matrix(i,j) += (coefficient_values[q_point] * - this_fe_values.shape_grad(i,q_point) - * - ((std::fabs(level_set(this_fe_values.quadrature_point(q_point))) - - - std::fabs(level_set(cell->vertex(cell->get_fe().system_to_component_index(j).second))))* - this_fe_values.shape_grad(j,q_point) - + - grad_level_set(this_fe_values.quadrature_point(q_point)) * - sign(level_set(this_fe_values.quadrature_point(q_point))) * - this_fe_values.shape_value(j,q_point)) * - this_fe_values.JxW(q_point)); - - cell_rhs(i) += (this_fe_values.shape_value(i,q_point) * - 1.0 * - this_fe_values.JxW(q_point)); - } - else - { - for (unsigned int j=0; jget_fe().system_to_component_index(j).first == 0) - cell_matrix(i,j) += (coefficient_values[q_point] * - ((std::fabs(level_set(this_fe_values.quadrature_point(q_point))) - - - std::fabs(level_set(cell->vertex(cell->get_fe().system_to_component_index(i).second))))* - this_fe_values.shape_grad(i,q_point) - + - grad_level_set(this_fe_values.quadrature_point(q_point)) * - sign(level_set(this_fe_values.quadrature_point(q_point))) * - this_fe_values.shape_value(i,q_point)) * - this_fe_values.shape_grad(j,q_point) * - this_fe_values.JxW(q_point)); - else - cell_matrix(i,j) += (coefficient_values[q_point] * - ((std::fabs(level_set(this_fe_values.quadrature_point(q_point))) - - - std::fabs(level_set(cell->vertex(cell->get_fe().system_to_component_index(i).second))))* - this_fe_values.shape_grad(i,q_point) - + - grad_level_set(this_fe_values.quadrature_point(q_point)) * - sign(level_set(this_fe_values.quadrature_point(q_point))) * - this_fe_values.shape_value(i,q_point)) * - ((std::fabs(level_set(this_fe_values.quadrature_point(q_point))) - - - std::fabs(level_set(cell->vertex(cell->get_fe().system_to_component_index(j).second))))* - this_fe_values.shape_grad(j,q_point) - + - grad_level_set(this_fe_values.quadrature_point(q_point)) * - sign(level_set(this_fe_values.quadrature_point(q_point))) * - this_fe_values.shape_value(j,q_point)) * - this_fe_values.JxW(q_point)); - - cell_rhs(i) += ((std::fabs(level_set(this_fe_values.quadrature_point(q_point))) - - - std::fabs(level_set(cell->vertex(cell->get_fe().system_to_component_index(i).second))))* - this_fe_values.shape_value(i,q_point) * - 1.0 * - this_fe_values.JxW(q_point)); - } - } - - local_dof_indices.resize (dofs_per_cell); - cell->get_dof_indices (local_dof_indices); - constraints.distribute_local_to_global (cell_matrix, cell_rhs, - local_dof_indices, - system_matrix, system_rhs); - } - - - std::map boundary_values; - VectorTools::interpolate_boundary_values (dof_handler, - 0, - ZeroFunction(2), - boundary_values); - MatrixTools::apply_boundary_values (boundary_values, - system_matrix, - solution, - system_rhs); - - } - -// To integrate the enriched elements we have to find the geometrical decomposition -// of the original element in subelements. The subelements are used to integrate -// the elements on both sides of the discontinuity. The disontinuity line is approximated -// by a piece-wise linear interpolation between the intersection of the discontinuity -// with the edges of the elements. The vector level_set_values has the values of -// the level set function at the vertices of the elements. From these values can be found -// by linear interpolation the intersections. There are three kind of decomposition that -// are considered. -// Type 1: there is not cut. Type 2: a corner of the element is cut. Type 3: two corners are cut. - - template - std::pair > - LaplaceProblem::compute_quadrature (const Quadrature &plain_quadrature, - const typename hp::DoFHandler::active_cell_iterator &cell, - const std::vector &level_set_values ) - { - - unsigned int type = 0; - - // find the type of cut - int sign_ls[GeometryInfo::vertices_per_cell]; - for (unsigned int v=0; v::vertices_per_cell; ++v) - { - if (level_set_values[v] > 0) sign_ls[v] = 1; - else if (level_set_values[v] < 0) sign_ls[v] = -1; - else sign_ls[v] = 0; - } - - // the sign of the level set function at the 4 nodes of the elements can be positive + or negative - - // depending on the sign of the level set function we have the folloing three classes of decomposition - // type 1: ++++, ---- - // type 2: -+++, +-++, ++-+, +++-, +---, -+--, --+-, ---+ - // type 3: +--+, ++--, +-+-, -++-, --++, -+-+ - - if ( sign_ls[0]==sign_ls[1] & sign_ls[0]==sign_ls[2] & sign_ls[0]==sign_ls[3] ) type =1; - else if ( sign_ls[0]*sign_ls[1]*sign_ls[2]*sign_ls[3] < 0 ) type = 2; - else type = 3; - - unsigned int Pos = 100; - - Point v0(0,0); - Point v1(1,0); - Point v2(0,1); - Point v3(1,1); - - Point A(0,0); - Point B(0,0); - Point C(0,0); - Point D(0,0); - Point E(0,0); - Point F(0,0); - - if (type == 1) - return std::pair >(1, plain_quadrature); - - if (type==2) - { - const unsigned int n_q_points = plain_quadrature.size(); - - // loop over all subelements for integration - // in type 2 there are 5 subelements - - Quadrature xfem_quadrature(5*n_q_points); - - std::vector > v(GeometryInfo::vertices_per_cell); - - if (sign_ls[0]!=sign_ls[1] && sign_ls[0]!=sign_ls[2] && sign_ls[0]!=sign_ls[3]) Pos = 0; - else if (sign_ls[1]!=sign_ls[0] && sign_ls[1]!=sign_ls[2] && sign_ls[1]!=sign_ls[3]) Pos = 1; - else if (sign_ls[2]!=sign_ls[0] && sign_ls[2]!=sign_ls[1] && sign_ls[2]!=sign_ls[3]) Pos = 2; - else if (sign_ls[3]!=sign_ls[0] && sign_ls[3]!=sign_ls[1] && sign_ls[3]!=sign_ls[2]) Pos = 3; - else assert(0); // error message - - // Find cut coordinates - - // deal.ii local coordinates - - // 2-------3 - // | | - // | | - // | | - // 0-------1 - - if (Pos == 0) - { - A[0] = 1. - level_set_values[1]/(level_set_values[1]-level_set_values[0]); - B[1] = 1. - level_set_values[2]/(level_set_values[2]-level_set_values[0]); - A(1) = 0.; - B(0) = 0.; - C(0) = 0.5*( A(0) + B(0) ); - C(1) = 0.5*( A(1) + B(1) ); - D(0) = 2./3. * C(0); - D(1) = 2./3. * C(1); - E(0) = 0.5*A(0); - E(1) = 0.; - F(0) = 0.; - F(1) = 0.5*B(1); - } - else if (Pos == 1) - { - A[0] = level_set_values[0]/(level_set_values[0]-level_set_values[1]); - B[1] = 1 - level_set_values[3]/(level_set_values[3]-level_set_values[1]); - A(1) = 0.; - B(0) = 1.; - C(0) = 0.5*( A(0) + B(0) ); - C(1) = 0.5*( A(1) + B(1) ); - D(0) = 1./3. + 2./3. * C(0); - D(1) = 2./3. * C(1); - E(0) = 0.5*(1 + A(0)); - E(1) = 0.; - F(0) = 1.; - F(1) = 0.5*B(1); - } - else if (Pos == 2) - { - A[0] = 1 - level_set_values[3]/(level_set_values[3]-level_set_values[2]); - B[1] = level_set_values[0]/(level_set_values[0]-level_set_values[2]); - A(1) = 1.; - B(0) = 0.; - C(0) = 0.5*( A(0) + B(0) ); - C(1) = 0.5*( A(1) + B(1) ); - D(0) = 2./3. * C(0); - D(1) = 1./3. + 2./3. * C(1); - E(0) = 0.5* A(0); - E(1) = 1.; - F(0) = 0.; - F(1) = 0.5*( 1. + B(1) ); - } - else if (Pos == 3) - { - A[0] = level_set_values[2]/(level_set_values[2]-level_set_values[3]); - B[1] = level_set_values[1]/(level_set_values[1]-level_set_values[3]); - A(1) = 1.; - B(0) = 1.; - C(0) = 0.5*( A(0) + B(0) ); - C(1) = 0.5*( A(1) + B(1) ); - D(0) = 1./3. + 2./3. * C(0); - D(1) = 1./3. + 2./3. * C(1); - E(0) = 0.5*( 1. + A(0) ); - E(1) = 1.; - F(0) = 1.; - F(1) = 0.5*( 1. + B(1) ); - } - - //std::cout << A << std::endl; - //std::cout << B << std::endl; - //std::cout << C << std::endl; - //std::cout << D << std::endl; - //std::cout << E << std::endl; - //std::cout << F << std::endl; - - std::string filename = "vertices.dat"; - std::ofstream output (filename.c_str()); - output << "#vertices of xfem subcells" << std::endl; - output << v0(0) << " " << v0(1) << std::endl; - output << v1(0) << " " << v1(1) << std::endl; - output << v3(0) << " " << v3(1) << std::endl; - output << v2(0) << " " << v2(1) << std::endl; - output << std::endl; - output << A(0) << " " << A(1) << std::endl; - output << B(0) << " " << B(1) << std::endl; - output << std::endl; - output << C(0) << " " << C(1) << std::endl; - output << D(0) << " " << D(1) << std::endl; - output << std::endl; - output << D(0) << " " << D(1) << std::endl; - output << E(0) << " " << E(1) << std::endl; - output << std::endl; - output << D(0) << " " << D(1) << std::endl; - output << F(0) << " " << F(1) << std::endl; - output << std::endl; - - if (Pos==0) - output << v3(0) << " " << v3(1) << std::endl; - else if (Pos==1) - output << v2(0) << " " << v2(1) << std::endl; - else if (Pos==2) - output << v1(0) << " " << v1(1) << std::endl; - else if (Pos==3) - output << v0(0) << " " << v0(1) << std::endl; - output << C(0) << " " << C(1) << std::endl; - - Point subcell_vertices[10]; - subcell_vertices[0] = v0; - subcell_vertices[1] = v1; - subcell_vertices[2] = v2; - subcell_vertices[3] = v3; - subcell_vertices[4] = A; - subcell_vertices[5] = B; - subcell_vertices[6] = C; - subcell_vertices[7] = D; - subcell_vertices[8] = E; - subcell_vertices[9] = F; - - std::vector > xfem_points; - std::vector xfem_weights; - - // lookup table for the decomposition - - if (dim==2) - { - unsigned int subcell_v_indices[4][5][4] = { - {{0,8,9,7}, {9,7,5,6}, {8,4,7,6}, {5,6,2,3}, {6,4,3,1}}, - {{8,1,7,9}, {4,8,6,7}, {6,7,5,9}, {0,4,2,6}, {2,6,3,5}}, - {{9,7,2,8}, {5,6,9,7}, {6,4,7,8}, {0,1,5,6}, {6,1,4,3}}, - {{7,9,8,3}, {4,6,8,7}, {6,5,7,9}, {0,6,2,4}, {0,1,6,5}} - }; - - for (unsigned int subcell = 0; subcell<5; subcell++) - { - //std::cout << "subcell : " << subcell << std::endl; - std::vector > vertices; - for (unsigned int i=0; i<4; i++) - { - vertices.push_back( subcell_vertices[subcell_v_indices[Pos][subcell][i]] ); - //std::cout << "i : " << i << std::endl; - //std::cout << "subcell v : " << subcell_v_indices[Pos][subcell][i] << std::endl; - //std::cout << vertices[i](0) << " " << vertices[i](1) << std::endl; - } - //std::cout << std::endl; - // create quadrature rule - append_quadrature( plain_quadrature, - vertices, - xfem_points, - xfem_weights); - //initialize xfem_quadrature with quadrature points of all subelements - xfem_quadrature.initialize(xfem_points, xfem_weights); - } - } - - Assert (xfem_quadrature.size() == plain_quadrature.size() * 5, ExcInternalError()); - return std::pair >(2, xfem_quadrature); - } - - // Type three decomposition - // (+--+, ++--, +-+-, -++-, --++, -+-+) - - if (type==3) - { - const unsigned int n_q_points = plain_quadrature.size(); - - // loop over all subelements for integration - // in type 2 there are 5 subelements - - Quadrature xfem_quadrature(5*n_q_points); - - std::vector > v(GeometryInfo::vertices_per_cell); - - if ( sign_ls[0]==sign_ls[1] && sign_ls[2]==sign_ls[3] ) - { - Pos = 0; - A(0) = 0.; - A(1) = level_set_values[0]/((level_set_values[0]-level_set_values[2])); - B(0) = 1.; - B(1) = level_set_values[1]/((level_set_values[1]-level_set_values[3])); - } - else if ( sign_ls[0]==sign_ls[2] && sign_ls[1]==sign_ls[3] ) - { - Pos = 1; - A(0) = level_set_values[0]/((level_set_values[0]-level_set_values[1])); - A(1) = 0.; - B(0) = level_set_values[2]/((level_set_values[2]-level_set_values[3])); - B(1) = 1.; - } - else if ( sign_ls[0]==sign_ls[3] && sign_ls[1]==sign_ls[2] ) - { - std::cout << "Error: the element has two cut lines and this is not allowed" << std::endl; - assert(0); - } - else - { - std::cout << "Error: the level set function has not the right values" << std::endl; - assert(0); - } - - //std::cout << "Pos " << Pos << std::endl; - //std::cout << A << std::endl; - //std::cout << B << std::endl; - std::string filename = "vertices.dat"; - std::ofstream output (filename.c_str()); - output << "#vertices of xfem subcells" << std::endl; - output << A(0) << " " << A(1) << std::endl; - output << B(0) << " " << B(1) << std::endl; - - //fill xfem_quadrature - Point subcell_vertices[6]; - subcell_vertices[0] = v0; - subcell_vertices[1] = v1; - subcell_vertices[2] = v2; - subcell_vertices[3] = v3; - subcell_vertices[4] = A; - subcell_vertices[5] = B; - - std::vector > xfem_points; - std::vector xfem_weights; - - if (dim==2) - { - unsigned int subcell_v_indices[2][2][4] = { - {{0,1,4,5}, {4,5,2,3}}, - {{0,4,2,5}, {4,1,5,3}} - }; - - //std::cout << "Pos : " << Pos << std::endl; - for (unsigned int subcell = 0; subcell<2; subcell++) - { - //std::cout << "subcell : " << subcell << std::endl; - std::vector > vertices; - for (unsigned int i=0; i<4; i++) - { - vertices.push_back( subcell_vertices[subcell_v_indices[Pos][subcell][i]] ); - //std::cout << "i : " << i << std::endl; - //std::cout << "subcell v : " << subcell_v_indices[Pos][subcell][i] << std::endl; - //std::cout << vertices[i](0) << " " << vertices[i](1) << std::endl; - } - //std::cout << std::endl; - // create quadrature rule - append_quadrature( plain_quadrature, - vertices, - xfem_points, - xfem_weights); - //initialize xfem_quadrature with quadrature points of all subelements - xfem_quadrature.initialize(xfem_points, xfem_weights); - } - } - Assert (xfem_quadrature.size() == plain_quadrature.size() * 2, ExcInternalError()); - return std::pair >(3, xfem_quadrature); - } - - return std::pair >(0, plain_quadrature);; - - } - - template - void LaplaceProblem::append_quadrature ( const Quadrature &plain_quadrature, - const std::vector > &v, - std::vector > &xfem_points, - std::vector &xfem_weights) - - { - // Project integration points into sub-elements. - // This maps quadrature points from a reference element to a subelement of a reference element. - // To implement the action of this map the coordinates of the subelements have been calculated (A(0)...F(0),A(1)...F(1)) - // the coordinates of the quadrature points are given by the bi-linear map defined by the form functions - // $x^\prime_i = \sum_j v^\prime \phi_j(x^hat_i)$, where the $\phi_j$ are the shape functions of the FEQ. - - unsigned int n_v = GeometryInfo::vertices_per_cell; - - std::vector > q_points = plain_quadrature.get_points(); - std::vector > q_transf(q_points.size()); - std::vector W = plain_quadrature.get_weights(); - std::vector phi(n_v); - std::vector > grad_phi(n_v); - - const unsigned int n_q_points = plain_quadrature.size(); - - std::vector JxW(n_q_points); - - for ( unsigned int i = 0; i < n_q_points; i++) - { - switch (dim) - { - case 2: - { - double xi = q_points[i](0); - double eta = q_points[i](1); - - // Define shape functions on reference element - // we consider a bi-linear mapping - phi[0] = (1. - xi) * (1. - eta); - phi[1] = xi * (1. - eta); - phi[2] = (1. - xi) * eta; - phi[3] = xi * eta; - - grad_phi[0][0] = (-1. + eta); - grad_phi[1][0] = (1. - eta); - grad_phi[2][0] = -eta; - grad_phi[3][0] = eta; - - grad_phi[0][1] = (-1. + xi); - grad_phi[1][1] = -xi; - grad_phi[2][1] = 1-xi; - grad_phi[3][1] = xi; - - break; - } - - default: - Assert (false, ExcNotImplemented()); - } - - - Tensor<2,dim> jacobian; - - // Calculate Jacobian of transformation - for (unsigned int d=0; d::vertices_per_cell; j++) - { - jacobian[d][e] += grad_phi[j][e] * v[j](d); - } - } - - double detJ = determinant(jacobian); - xfem_weights.push_back (W[i] * detJ); - - // Map integration points from reference element to subcell of reference element - Point q_prime; - for (unsigned int d=0; d::vertices_per_cell; j++) - q_prime[d] += v[j](d) * phi[j]; - xfem_points.push_back(q_prime); - } - - } - - - template - void LaplaceProblem::solve () - { - SolverControl solver_control (1000, 1e-12); - SolverCG<> solver (solver_control); - - PreconditionSSOR<> preconditioner; - preconditioner.initialize(system_matrix, 1.2); - - solver.solve (system_matrix, solution, system_rhs, - preconditioner); - - constraints.distribute (solution); - } - - - - template - void LaplaceProblem::refine_grid () - { - Vector estimated_error_per_cell (triangulation.n_active_cells()); - - KellyErrorEstimator::estimate (dof_handler, - QGauss(3), - typename FunctionMap::type(), - solution, - estimated_error_per_cell); - - GridRefinement::refine_and_coarsen_fixed_number (triangulation, - estimated_error_per_cell, - 0.3, 0.03); - - triangulation.execute_coarsening_and_refinement (); - } - - - - template - class Postprocessor : public DataPostprocessor - { - public: - virtual - void - compute_derived_quantities_vector (const std::vector > &uh, - const std::vector > > &duh, - const std::vector > > &dduh, - const std::vector > &normals, - const std::vector > &evaluation_points, - std::vector > &computed_quantities) const; - - virtual std::vector get_names () const; - - virtual unsigned int n_output_variables() const; - - virtual - std::vector - get_data_component_interpretation () const; - - virtual UpdateFlags get_needed_update_flags () const; - }; - - - template - std::vector - Postprocessor::get_names() const - { - std::vector solution_names (1, "total_solution"); - solution_names.push_back ("error"); - return solution_names; - } - - - template - unsigned int - Postprocessor::n_output_variables() const - { - return get_names().size(); - } - - - template - std::vector - Postprocessor:: - get_data_component_interpretation () const - { - std::vector - interpretation (2, - DataComponentInterpretation::component_is_scalar); - return interpretation; - } - - - template - UpdateFlags - Postprocessor::get_needed_update_flags() const - { - return update_values | update_q_points; - } - - - template - void - Postprocessor:: - compute_derived_quantities_vector (const std::vector > &uh, - const std::vector > > &/*duh*/, - const std::vector > > &/*dduh*/, - const std::vector > &/*normals*/, - const std::vector > &evaluation_points, - std::vector > &computed_quantities) const - { - const unsigned int n_quadrature_points = uh.size(); - Assert (computed_quantities.size() == n_quadrature_points, ExcInternalError()); - Assert (uh[0].size() == 2, ExcInternalError()); - Assert (computed_quantities[0].size()==n_output_variables(),ExcInternalError()); - - for (unsigned int q=0; q - void LaplaceProblem::output_results (const unsigned int cycle) const - { - Assert (cycle < 10, ExcNotImplemented()); - - std::string filename = "solution-"; - filename += ('0' + cycle); - //filename += ".vtk"; - filename += ".gmv"; - - std::ofstream output (filename.c_str()); - - Postprocessor postprocessor; - DataOut > data_out; - - data_out.attach_dof_handler (dof_handler); - data_out.add_data_vector (solution, "solution"); - data_out.add_data_vector (solution, postprocessor); - data_out.build_patches (5); - - //data_out.write_vtk (output); - data_out.write_gmv (output); - } - - - - template - void LaplaceProblem::compute_error () const - { - hp::QCollection q_collection; - q_collection.push_back (QGauss(2)); - q_collection.push_back (QIterated(QGauss<1>(2), 4)); - - hp::FEValues hp_fe_values (fe_collection, q_collection, - update_values | update_q_points | update_JxW_values); - - double l2_error_square = 0; - - std::vector > solution_values; - - typename hp::DoFHandler::active_cell_iterator - cell = dof_handler.begin_active(), - endc = dof_handler.end(); - - for (; cell!=endc; ++cell) - { - hp_fe_values.reinit (cell); - - const FEValues &fe_values = hp_fe_values.get_present_fe_values (); - - solution_values.resize (fe_values.n_quadrature_points, - Vector(2)); - fe_values.get_function_values (solution, - solution_values); - - for (unsigned int q=0; q boundary; - triangulation.set_boundary (0, boundary); - - triangulation.refine_global (2); - } - else - triangulation.refine_global (1); -// refine_grid (); - - - std::cout << " Number of active cells: " - << triangulation.n_active_cells() - << std::endl; - - setup_system (); - - std::cout << " Number of degrees of freedom: " - << dof_handler.n_dofs() - << std::endl; - - assemble_system (); - solve (); - compute_error (); - output_results (cycle); - } - } -} - - - -int main () -{ - - try - { - using namespace dealii; - using namespace Step47; - - deallog.depth_console (0); - - LaplaceProblem<2> laplace_problem_2d; - laplace_problem_2d.run (); - } - catch (std::exception &exc) - { - std::cerr << std::endl << std::endl - << "----------------------------------------------------" - << std::endl; - std::cerr << "Exception on processing: " << std::endl - << exc.what() << std::endl - << "Aborting!" << std::endl - << "----------------------------------------------------" - << std::endl; - - return 1; - } - catch (...) - { - std::cerr << std::endl << std::endl - << "----------------------------------------------------" - << std::endl; - std::cerr << "Unknown exception!" << std::endl - << "Aborting!" << std::endl - << "----------------------------------------------------" - << std::endl; - return 1; - } - - return 0; -}