New test for output of curved cells.

git-svn-id: https://svn.dealii.org/trunk@15915 0785d39b-7218-0410-832d-ea1e28bc413d

diff --git a/tests/bits/data_out_curved_cells.cc b/tests/bits/data_out_curved_cells.cc
new file mode 100644 (file)
index 0000000..934247e
--- /dev/null
+++ b/tests/bits/data_out_curved_cells.cc
@@ -0,0 +1,257 @@
+//----------------------------------------------------------------------
+//    $Id$
+//    Version: $Name$ 
+//
+//    Copyright (C) 2003, 2004, 2005, 2007 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.
+//
+//----------------------------------------------------------------------
+
+// test output of curved cells at the boundary and in the inner of the domain,
+// where the last one is only relevant for mappings of type MappingQEulerian
+
+#include "../tests.h"
+
+#include <grid/tria.h>
+#include <grid/tria_accessor.h>
+#include <grid/tria_iterator.h>
+#include <lac/full_matrix.h>
+#include <lac/identity_matrix.h>
+#include <base/quadrature_lib.h>
+#include <base/thread_management.h>
+#include <lac/vector.h>
+#include <lac/vector_memory.h>
+#include <lac/filtered_matrix.h>
+#include <lac/precondition.h>
+#include <lac/solver_cg.h>
+#include <lac/sparse_matrix.h>
+#include <grid/grid_generator.h>
+#include <grid/grid_reordering.h>
+#include <grid/grid_tools.h>
+#include <grid/tria.h>
+#include <grid/tria_accessor.h>
+#include <grid/tria_iterator.h>
+#include <dofs/dof_handler.h>
+#include <dofs/dof_accessor.h>
+#include <dofs/dof_tools.h>
+#include <dofs/dof_constraints.h>
+#include <fe/mapping_q1.h>
+#include <fe/mapping_q_eulerian.h>
+#include <fe/fe_q.h>
+#include <fe/fe_system.h>
+#include <numerics/matrices.h>
+#include <numerics/data_out.h>
+#include <fstream>
+#include <cmath>
+#include <iostream>
+#include <vector>
+using namespace dealii;
+
+
+// this is copied from GridGenerator
+void laplace_solve (const SparseMatrix<double> &S,
+                   const std::map<unsigned int,double> &m,
+                   Vector<double> &u)
+{
+  const unsigned int n_dofs=S.n();
+  FilteredMatrix<Vector<double> > SF (S);
+  PreconditionJacobi<SparseMatrix<double> > prec;
+  prec.initialize(S, 1.2);
+  FilteredMatrix<Vector<double> > PF (prec);
+  
+  SolverControl control (10000, 1.e-10, false, false);
+  GrowingVectorMemory<Vector<double> > mem;
+  SolverCG<Vector<double> > solver (control, mem);
+  
+  Vector<double> f(n_dofs);
+  
+  SF.add_constraints(m);
+  SF.apply_constraints (f, true);
+  solver.solve(SF, u, f, PF);
+}
+
+
+// create a rinf grid and compute a MappingQEuler to represent the inner
+// boundary
+void curved_grid (std::ofstream &out)
+{
+                                  // number of cells in radial and
+                                  // circumferential direction
+  const unsigned int n_phi=4,
+                      n_r=8;
+                                  // inner and outer radius  
+  const double r_i=0.5,
+              r_a=2.0;
+                                  // we want to increase the radial extent of
+                                  // each cell by 'factor'. compute, how large
+                                  // the first extent 'dr' has to be
+  double factor=2.,
+           sum=0;
+  for (unsigned int j=0; j<n_r; ++j)
+    sum+=std::pow(factor,1.*j);
+  double dr=(r_a-r_i)/sum;
+                                  // radii of the cells
+  std::vector<double> r(n_r+1,r_i);
+  for (unsigned int j=1; j<n_r+1; ++j)
+    {
+      r[j]=r[j-1]+dr;
+      dr*=factor;
+    }
+                                  // create vertices
+  std::vector<Point<2> > vertices(n_phi*(n_r+1));
+  for (unsigned int j=0; j<n_r+1; ++j)
+    for (unsigned int i=0; i<n_phi; ++i)
+      {
+       const unsigned int p=i+j*n_phi;
+       const double alpha=i*2*numbers::PI/n_phi;
+       vertices[p]=Point<2>(r[j]*cos(alpha),r[j]*sin(alpha));
+      }
+                                  // create connectivity
+  std::vector<CellData<2> > cells(n_phi*n_r);
+  for (unsigned int j=0; j<n_r; ++j)
+    for (unsigned int i=0; i<n_phi; ++i)
+      {
+       const unsigned int index=i+j*n_phi;
+       const unsigned int p            =i          +    j*n_phi;
+       const unsigned int p_iplus      =(i+1)%n_phi+    j*n_phi;
+       const unsigned int p_iplus_jplus=(i+1)%n_phi+(j+1)*n_phi;
+       const unsigned int p_jplus      =i          +(j+1)*n_phi;
+
+       cells[index].vertices[0]=p_iplus;
+       cells[index].vertices[1]=p;
+       cells[index].vertices[2]=p_jplus;
+       cells[index].vertices[3]=p_iplus_jplus;
+      }
+                                  // create triangulation
+  Triangulation<2> triangulation;
+  triangulation.create_triangulation_compatibility(vertices,cells,SubCellData());
+                                  // now provide everything that is
+                                  // needed for solving a Laplace
+                                  // equation.  
+  MappingQ1<2> mapping_q1;  
+  FE_Q<2> fe(2);
+  DoFHandler<2> dof_handler(triangulation);
+  dof_handler.distribute_dofs(fe);
+  SparsityPattern sparsity_pattern (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 ();
+  SparseMatrix<double> S(sparsity_pattern);
+  QGauss4<2> quadrature;
+  MatrixCreator::create_laplace_matrix(mapping_q1, dof_handler, quadrature, S);
+                                  // set up the boundary values for
+                                  // the laplace problem
+  std::vector<std::map<unsigned int,double> > m(2);
+                                  // fill these maps: on the inner boundary try
+                                  // to approximate a circle, on the outer
+                                  // boundary use straight lines
+  DoFHandler<2>::cell_iterator cell=dof_handler.begin_active(),
+                                         endc=dof_handler.end();
+  DoFHandler<2>::face_iterator face;
+  for (; cell!=endc; ++cell)
+    {
+                                      // fix all vertices
+      for (unsigned int vertex_no=0;
+          vertex_no<GeometryInfo<2>::vertices_per_cell; ++vertex_no)
+       {
+         for (unsigned int i=0; i<2; ++i)
+           m[i][cell->vertex_dof_index(vertex_no, 0)]=0.;
+       }
+
+      if (cell->at_boundary())
+       for (unsigned int face_no=0; face_no<GeometryInfo<2>::faces_per_cell; ++face_no)
+         {
+           face=cell->face(face_no);
+                                                // insert a modifiued value for
+                                                // the middle point of boundary
+                                                // faces
+           if (face->at_boundary())
+             {
+               const double eps=1e-4;
+               if (std::fabs(face->vertex(1).norm()-r_i)<eps)
+                   for (unsigned int i=0; i<2; ++i)
+                     m[i][face->dof_index(0)]= (face->center()*(r_i/face->center().norm()-1))(i);
+               else if (std::fabs(face->vertex(1).norm()-r_a)<eps)
+                   for (unsigned int i=0; i<2; ++i)
+                     m[i][face->dof_index(0)]=0.;
+               else
+                 Assert(false, ExcInternalError());
+             }
+         }
+    }
+                                  // solve the 2 problems with
+                                  // different right hand sides.
+  Vector<double> us[2];
+  for (unsigned int i=0; i<2; ++i)
+    us[i].reinit (dof_handler.n_dofs());
+                                  // solve linear systems in parallel
+  Threads::ThreadGroup<> threads;
+  for (unsigned int i=0; i<2; ++i)
+    threads += Threads::spawn (&laplace_solve)(S, m[i], us[i]);
+  threads.join_all ();
+                                  // create a new DoFHandler for the combined
+                                  // system
+  FESystem<2> cfe(FE_Q<2>(2),2);
+  DoFHandler<2> cdh(triangulation);
+  cdh.distribute_dofs(cfe);
+  Vector<double> displacements(cdh.n_dofs()),
+    dx(fe.dofs_per_cell),
+    dy(fe.dofs_per_cell),
+    dxy(cfe.dofs_per_cell);
+  DoFHandler<2>::active_cell_iterator component_cell=dof_handler.begin_active(),
+                                               end_c=dof_handler.end(),
+                                      combined_cell=cdh.begin_active();
+  for (; component_cell!=end_c; ++component_cell, ++combined_cell)
+    {
+      component_cell->get_dof_values (us[0], dx);
+      component_cell->get_dof_values (us[1], dy);
+      for (unsigned int i=0; i<fe.dofs_per_cell; ++i)
+       {
+         dxy(cfe.component_to_system_index(0,i))= dx(i);
+         dxy(cfe.component_to_system_index(1,i))= dy(i);
+       }
+      combined_cell->set_dof_values (dxy, displacements);
+    }
+                                  // and create the MappingQEulerian
+  MappingQEulerian<2> euler(2, displacements, cdh);
+                                  // now the actual test
+  DataOut<2> data_out;
+  data_out.attach_dof_handler(cdh);
+  std::vector<std::string> names;
+  names.push_back("x_displacement");
+  names.push_back("y_displacement");
+  data_out.add_data_vector(displacements,names);
+                                  // output with no mapping
+  data_out.build_patches(5);
+  data_out.write_gnuplot(out);
+                                  // output with no curved cells
+  data_out.build_patches(euler,5,multithread_info.n_default_threads,DataOut<2>::no_curved_cells);
+  data_out.write_gnuplot(out);
+                                  // output with curved cells at the boundary
+                                  // (default)
+  data_out.build_patches(euler,5);
+  data_out.write_gnuplot(out);
+                                  // output with all cells curved
+  data_out.build_patches(euler,5,multithread_info.n_default_threads,DataOut<2>::curved_inner_cells);
+  data_out.write_gnuplot(out);
+}
+
+
+
+int main () 
+{
+  std::ofstream logfile("data_out_curved_cells/output");
+  deallog.attach(logfile);
+  deallog << std::setprecision (4);
+  logfile << std::setprecision (4);
+  deallog.depth_console(0);
+  deallog.threshold_double(1.e-10);
+
+  curved_grid (logfile);
+}
+
+

diff --git a/tests/bits/data_out_curved_cells/cmp/generic b/tests/bits/data_out_curved_cells/cmp/generic
new file mode 100644 (file)
index 0000000..0ef8435
--- /dev/null
+++ b/tests/bits/data_out_curved_cells/cmp/generic
@@ -0,0 +1,5533 @@
+
+# This file was generated by the deal.II library.
+
+
+#
+# For a description of the GNUPLOT format see the GNUPLOT manual.
+#
+# <x> <y> <x_displacement> <y_displacement> 
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