From: Luca Heltai Date: Mon, 11 May 2020 10:55:42 +0000 (+0200) Subject: First draft of results X-Git-Tag: v9.2.0-rc2~3^2~6 X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=98c0d2b3121ccd610be8e1606cca5f1d904eece6;p=dealii.git First draft of results --- diff --git a/doc/doxygen/tutorial/tutorial.h.in b/doc/doxygen/tutorial/tutorial.h.in index bf11db9e01..be99036d6e 100644 --- a/doc/doxygen/tutorial/tutorial.h.in +++ b/doc/doxygen/tutorial/tutorial.h.in @@ -713,7 +713,6 @@ * step-42, * step-50, * step-55, - * step-60, * step-70 * * @@ -984,7 +983,7 @@ * step-42, * step-50, * step-55, - * step-59, + * step-59 * * * diff --git a/examples/step-70/doc/builds-on b/examples/step-70/doc/builds-on index d69f25861c..5aa1b0eb95 100644 --- a/examples/step-70/doc/builds-on +++ b/examples/step-70/doc/builds-on @@ -1 +1 @@ -step-6 step-22 step-32 step-55 step-60 +step-32 step-60 diff --git a/examples/step-70/doc/results.dox b/examples/step-70/doc/results.dox index 6e9a8159ad..bb66b8a2fb 100644 --- a/examples/step-70/doc/results.dox +++ b/examples/step-70/doc/results.dox @@ -1,9 +1,18 @@

Results

-The directory in which this program is run does not contain a parameter file by -default. On the other hand, this program wants to read its parameters from a -file called parameters.prm -- and so, when you execute it the first time, you -will get an exception that no such file can be found: +The directory in which this program is run contains a number of sample parameter +files that you can use to reproduce the results presented in this section. If +you do not specify a parameter file as an argument on command line, the program +will try to read the file "parameters.prm" by default, and will execute the two +dimensional version of the code. As explained before, if your file name contains +the string "23", then the program will run a three dimensional problem, with +immersed solid of co-dimension one. If it contains the string "3", it will run +a three dimensional problem, with immersed solid of co-dimension zero, otherwise +it will run a two dimensional problem with immersed solid of co-dimension zero. + +Regardless of the specific parameter file name, if the specified file does not +exist, when you execute the program you will get an exception that no such file +can be found: @code ---------------------------------------------------- @@ -23,71 +32,181 @@ Aborting! @endcode However, as the error message already states, the code that triggers the -exception will also generate a parameters.prm file that simply contains the -default values for all parameters this program cares about. By inspection of the -parameter file, we see the following: +exception will also generate the specified file ("parameters.prm" in this +case) that simply contains the default values for all parameters this program +cares about (for the correct dimension and co-dimension, according to the +wether a string "23" or "3" is contained in the file name). +By inspection of the default parameter file, we see the following: @code +# Listing of Parameters +# --------------------- subsection Stokes Immersed Problem - set Final time = 1 - set Homogeneous Dirichlet boundary ids = 0, 1, 2, 3 - set Initial fluid refinement = 4 - set Initial solid refinement = 4 - set Particle insertion refinement = 4 - set Nitsche penalty term = 1000 - set Number of time steps = 501 - set Velocity degree = 2 - set Viscosity = 1 + set Final time = 1 + # Extraction level of the rtree used to construct global bounding boxes + set Fluid bounding boxes extraction level = 1 + + # Boundary Ids over which homogeneous Dirichlet boundary conditions are + # applied + set Homogeneous Dirichlet boundary ids = 0 + + # Initial mesh refinement used for the fluid domain Omega + set Initial fluid refinement = 3 + + # Initial mesh refinement used for the solid domain Gamma + set Initial solid refinement = 3 + set Nitsche penalty term = 10 + set Number of time steps = 11 + set Output frequency = 1 + + # Refinement of the volumetric mesh used to insert the particles + set Particle insertion refinement = 1 + set Velocity degree = 2 + set Viscosity = 1 + + subsection Angular velocity - set Function constants = - set Function expression = t < .5 ? 5 : -5 + # Sometimes it is convenient to use symbolic constants in the expression + # that describes the function, rather than having to use its numeric value + # everywhere the constant appears. These values can be defined using this + # parameter, in the form `var1=value1, var2=value2, ...'. + # + # A typical example would be to set this runtime parameter to + # `pi=3.1415926536' and then use `pi' in the expression of the actual + # formula. (That said, for convenience this class actually defines both + # `pi' and `Pi' by default, but you get the idea.) + set Function constants = + + # The formula that denotes the function you want to evaluate for + # particular values of the independent variables. This expression may + # contain any of the usual operations such as addition or multiplication, + # as well as all of the common functions such as `sin' or `cos'. In + # addition, it may contain expressions like `if(x>0, 1, -1)' where the + # expression evaluates to the second argument if the first argument is + # true, and to the third argument otherwise. For a full overview of + # possible expressions accepted see the documentation of the muparser + # library at http://muparser.beltoforion.de/. + # + # If the function you are describing represents a vector-valued function + # with multiple components, then separate the expressions for individual + # components by a semicolon. + set Function expression = t < .500001 ? 5 : -5 # default: 0 + + # The names of the variables as they will be used in the function, + # separated by commas. By default, the names of variables at which the + # function will be evaluated are `x' (in 1d), `x,y' (in 2d) or `x,y,z' (in + # 3d) for spatial coordinates and `t' for time. You can then use these + # variable names in your function expression and they will be replaced by + # the values of these variables at which the function is currently + # evaluated. However, you can also choose a different set of names for the + # independent variables at which to evaluate your function expression. For + # example, if you work in spherical coordinates, you may wish to set this + # input parameter to `r,phi,theta,t' and then use these variable names in + # your function expression. set Variable names = x,y,t end + subsection Grid generation - set Grid one generator = hyper_cube - set Grid one generator arguments = -1: 1: false - set Grid two generator = hyper_rectangle - set Grid two generator arguments = -.5, -.1: .5, .1: false + set Fluid grid generator = hyper_cube + set Fluid grid generator arguments = -1: 1: false set Particle grid generator = hyper_ball set Particle grid generator arguments = 0.3, 0.3: 0.1: false + set Solid grid generator = hyper_rectangle + set Solid grid generator arguments = -.5, -.1: .5, .1: false end + + subsection Refinement and remeshing + set Maximum number of cells = 1000 + set Refinement coarsening fraction = 0.3 + set Refinement fraction = 0.3 + set Refinement maximal level = 5 + set Refinement step frequency = 5 + set Refinement strategy = fixed_fraction + end + subsection Right hand side - set Function constants = + # Sometimes it is convenient to use symbolic constants in the expression + # that describes the function, rather than having to use its numeric value + # everywhere the constant appears. These values can be defined using this + # parameter, in the form `var1=value1, var2=value2, ...'. + # + # A typical example would be to set this runtime parameter to + # `pi=3.1415926536' and then use `pi' in the expression of the actual + # formula. (That said, for convenience this class actually defines both + # `pi' and `Pi' by default, but you get the idea.) + set Function constants = + + # The formula that denotes the function you want to evaluate for + # particular values of the independent variables. This expression may + # contain any of the usual operations such as addition or multiplication, + # as well as all of the common functions such as `sin' or `cos'. In + # addition, it may contain expressions like `if(x>0, 1, -1)' where the + # expression evaluates to the second argument if the first argument is + # true, and to the third argument otherwise. For a full overview of + # possible expressions accepted see the documentation of the muparser + # library at http://muparser.beltoforion.de/. + # + # If the function you are describing represents a vector-valued function + # with multiple components, then separate the expressions for individual + # components by a semicolon. set Function expression = 0; 0; 0 + + # The names of the variables as they will be used in the function, + # separated by commas. By default, the names of variables at which the + # function will be evaluated are `x' (in 1d), `x,y' (in 2d) or `x,y,z' (in + # 3d) for spatial coordinates and `t' for time. You can then use these + # variable names in your function expression and they will be replaced by + # the values of these variables at which the function is currently + # evaluated. However, you can also choose a different set of names for the + # independent variables at which to evaluate your function expression. For + # example, if you work in spherical coordinates, you may wish to set this + # input parameter to `r,phi,theta,t' and then use these variable names in + # your function expression. set Variable names = x,y,t end + end @endcode -If you now run the program, you will get a file called `used_parameters.prm`, +If you now run the program, you will get a file called `parameters_used.prm`, containing a shorter version of the above parameters (without comments and documentation), documenting all parameters that were used to run your program: @code subsection Stokes Immersed Problem - set Final time = 1 - set Homogeneous Dirichlet boundary ids = 0, 1, 2, 3 - set Initial fluid refinement = 4 - set Initial solid refinement = 4 - set Particle insertion refinement = 4 - set Nitsche penalty term = 1000 - set Number of time steps = 501 - set Velocity degree = 2 - set Viscosity = 1 + set Final time = 1 + set Fluid bounding boxes extraction level = 1 + set Homogeneous Dirichlet boundary ids = 0 + set Initial fluid refinement = 5 + set Initial solid refinement = 3 + set Nitsche penalty term = 100 + set Number of time steps = 501 + set Output frequency = 1 + set Particle insertion refinement = 3 + set Velocity degree = 2 + set Viscosity = 1 subsection Angular velocity - set Function constants = - set Function expression = t < .5 ? 5 : -5 + set Function constants = + set Function expression = t < .500001 ? 5 : -5 set Variable names = x,y,t end subsection Grid generation - set Grid one generator = hyper_cube - set Grid one generator arguments = -1: 1: false - set Grid two generator = hyper_rectangle - set Grid two generator arguments = -.5, -.1: .5, .1: false + set Fluid grid generator = hyper_cube + set Fluid grid generator arguments = -1: 1: false set Particle grid generator = hyper_ball set Particle grid generator arguments = 0.3, 0.3: 0.1: false + set Solid grid generator = hyper_rectangle + set Solid grid generator arguments = -.5, -.1: .5, .1: false + end + subsection Refinement and remeshing + set Maximum number of cells = 1000 + set Refinement coarsening fraction = 0.3 + set Refinement fraction = 0.3 + set Refinement maximal level = 7 + set Refinement step frequency = 5 + set Refinement strategy = fixed_fraction end subsection Right hand side - set Function constants = + set Function constants = set Function expression = 0; 0; 0 set Variable names = x,y,t end @@ -95,211 +214,198 @@ end @endcode The rationale behind creating first `parameters.prm` file (the first time the -program is run) and then a `used_parameters.prm` (every other times you run the +program is run) and then a `parameters_used.prm` (every other times you run the program), is because you may want to leave most parameters to their default values, and only modify a handful of them. For example, you could use the following (perfectly valid) parameter file with this tutorial program: @code -SHORTER VERSION HERE +subsection Stokes Immersed Problem + set Final time = 1 + set Nitsche penalty term = 10 + set Number of time steps = 101 + set Velocity degree = 3 +end @endcode -and you would obtain exactly the same results as in test case 1 below. +and you would run the program with Q3/Q2 Taylor-Hood finite elements, +for 101 steps, using a Nistche penalty of `10`, and leaving all the other +parameters to their default value. -

Test case 1:

+

Two dimensional test case

-For the default problem the value of $u$ on $\Gamma$ is set to the constant $1$: -this is like imposing a constant Dirichlet boundary condition on $\Gamma$, seen -as boundary of the portion of $\Omega$ inside $\Gamma$. Similarly on $\partial -\Omega$ we have zero Dirichlet boundary conditions. +The default problem generates a co-dimension zero impeller, consisting of a +rotating rectangular grid, where the rotation is for half a second in one +direction, and half a second in the opposite direction, with constant angular +velocity equal to five. -
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The output of the program will look like the following: @code - +bash$ mpirun -np 8 ./step-70 test.prm +Running StokesImmersedProblem<2> using Trilinos. +Cycle 0: +Time : 0, time step: 0.002 + Number of degrees of freedom: 9539 (8450+1089 -- 0+0) +Tracer particles: 753 +Solid particles: 576 + Solved in 142 iterations. + Number of degrees of freedom: 3790 (3354+436 -- 576+753) +Cycle 1: +Time : 0.002, time step: 0.002 + Solved in 133 iterations. +Cycle 2: +Time : 0.004, time step: 0.002 + Solved in 148 iterations. +Cycle 3: + +... + +Cycle 499: +Time : 0.998, time step: 0.002 + Solved in 167 iterations. +Cycle 500: +Time : 1, time step: 0.002 + Solved in 156 iterations. + + ++---------------------------------------------+------------+------------+ +| Total wallclock time elapsed since start | 46.9s | | +| | | | +| Section | no. calls | wall time | % of total | ++---------------------------------+-----------+------------+------------+ +| Assemble Nitsche terms | 501 | 0.73s | 1.6% | +| Assemble Stokes terms | 501 | 1.34s | 2.8% | +| Initial setup | 1 | 0.000827s | 0% | +| Output fluid | 502 | 2.92s | 6.2% | +| Output solid particles | 502 | 1.58s | 3.4% | +| Output tracer particles | 502 | 2.04s | 4.4% | +| Refine | 100 | 1.2s | 2.6% | +| Set solid particle position | 500 | 0.213s | 0.45% | +| Set tracer particle motion | 501 | 1.13s | 2.4% | +| Setup dofs | 101 | 0.82s | 1.7% | +| Solve | 501 | 35.4s | 76% | ++---------------------------------+-----------+------------+------------+ @endcode -You may notice that, in terms of CPU time, assembling the coupling system is -twice as expensive as assembling the standard Poisson system, even though the -matrix is smaller. This is due to the non-matching nature of the discretization. -Whether this is acceptable or not, depends on the applications. +You may notice that assembling the coupling system is roughly as expensive as +assemblying the Stokes part, and roughly as expensive as tracking the motion +of the particles. -If the problem was set in a three-dimensional setting, and the immersed mesh was -time dependent, it would be much more expensive to recreate the mesh at each -step rather than use the technique we present here. Moreover, you may be able to -create a very fast and optimized solver on a uniformly refined square or cubic -grid, and embed the domain where you want to perform your computation using the -technique presented here. This would require you to only have a surface -representatio of your domain (a much cheaper and easier mesh to produce). +To play around a little bit, we complicate the fictitious domain (taken from +https://grabcad.com/library/lungstors-blower-1), and run a co-dimension one +simulation in three space dimensions, using the following +"parameters_23.prm" file: -To play around a little bit, we are going to complicate a little the fictitious -domain as well as the boundary conditions we impose on it. - -

Test case 2 and 3:

- -If we use the following parameter file: @code -subsection Distributed Lagrange<1,2> - set Coupling quadrature order = 3 - set Embedded configuration finite element degree = 1 - set Embedded space finite element degree = 1 - set Embedding space finite element degree = 1 - set Homogeneous Dirichlet boundary ids = 0,1,2,3 - set Initial embedded space refinement = 8 - set Initial embedding space refinement = 4 - set Local refinements steps near embedded domain = 4 - set Use displacement in embedded interface = false - set Verbosity level = 10 - subsection Embedded configuration - set Function constants = R=.3, Cx=.5, Cy=.5, r=.1, w=12 - set Function expression = (R+r*cos(w*pi*x))*cos(2*pi*x)+Cx; (R+r*cos(w*pi*x))*sin(2*pi*x)+Cy - set Variable names = x,y,t +subsection Stokes Immersed Problem + set Final time = 1 + set Homogeneous Dirichlet boundary ids = 0 + set Fluid bounding boxes extraction level = 1 + set Initial fluid refinement = 3 + set Initial solid refinement = 0 + set Nitsche penalty term = 10 + set Number of time steps = 101 + set Output frequency = 1 + set Particle insertion refinement = 3 + set Velocity degree = 2 + set Viscosity = 1 + subsection Angular velocity + set Function constants = + set Function expression = t < .500001 ? 5 : -5 + set Variable names = x,y,z,t end - subsection Embedded value - set Function constants = - set Function expression = x-.5 - set Variable names = x,y,t + subsection Grid generation + set Fluid grid generator = hyper_rectangle + set Fluid grid generator arguments = -50,-50, -10: 50, 50, 40: false + set Solid grid generator = impeller.vtk + set Solid grid generator arguments = 1:impeller.step + set Particle grid generator = hyper_ball + set Particle grid generator arguments = 30, 30, 20: 10: false + end + subsection Refinement and remeshing + set Maximum number of cells = 100000 + set Refinement coarsening fraction = 0.3 + set Refinement fraction = 0.3 + set Refinement maximal level = 6 + set Refinement step frequency = 5 + set Refinement strategy = fixed_fraction end - subsection Schur solver control - set Log frequency = 1 - set Log history = false - set Log result = true - set Max steps = 100000 - set Reduction = 1.e-12 - set Tolerance = 1.e-12 + subsection Right hand side + set Function constants = + set Function expression = 0; 0; 0; 0 + set Variable names = x,y,z,t end end @endcode -We get a "flowery" looking domain, where we impose a linear boundary condition -$g=x-.5$. This test shows that the method is actually quite accurate in -recovering an exactly linear function from its boundary conditions, and even -though the meshes are not aligned, we obtain a pretty good result. +In this case, the timing outputs are a bit different: -Replacing $x-.5$ with $2(x-.5)^2-2(y-.5)^2$, i.e., modifying the parameter file -such that we have @code - ... - subsection Embedded value - set Function constants = - set Function expression = 2*(x-.5)^2-2*(y-.5)^2 - set Variable names = x,y,t - end ++---------------------------------------------+------------+------------+ +| Total wallclock time elapsed since start | 5.54e+03s | | +| | | | +| Section | no. calls | wall time | % of total | ++---------------------------------+-----------+------------+------------+ +| Assemble Nitsche terms | 101 | 111s | 2% | +| Assemble Stokes terms | 101 | 208s | 3.8% | +| Initial setup | 1 | 0.00187s | 0% | +| Output fluid | 102 | 15.5s | 0.28% | +| Output solid particles | 102 | 2.63s | 0% | +| Output tracer particles | 102 | 2.49s | 0% | +| Refine | 20 | 18.4s | 0.33% | +| Set solid particle position | 100 | 6.1s | 0.11% | +| Set tracer particle motion | 101 | 10.8s | 0.2% | +| Setup dofs | 21 | 13.9s | 0.25% | +| Solve | 101 | 5.16e+03s | 93% | ++---------------------------------+-----------+------------+------------+ @endcode -produces the saddle on the right. -
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Possibilities for extensions

-

Running with `spacedim` equal to three

- -While the current tutorial program is written for `spacedim` equal to two, there -are only minor changes you have to do in order for the program to run in -different combinations of dimensions. - -If you want to run with `spacedim` equal to three and `dim` equal to two, then -you will almost certainly want to perform the following changes: - -- use a different reference domain for the embedded grid, maybe reading it from - a file. It is not possible to construct a smooth closed surface with one - single parametrization of a square domain, therefore you'll most likely want - to use a reference domain that is topologically equivalent to a the boundary - of a sphere. - -- use a displacement instead of the deformation to map $\Gamma_0$ into $\Gamma$ - -

More general domains

- -We have seen in other tutorials (for example in step-5 and step-54) how to read -grids from input files. A nice generalization for this tutorial program would be -to allow the user to select a grid to read from the parameter file itself, -instead of hardcoding the mesh type in the tutorial program itself. - -

Preconditioner

- -At the moment, we have no preconditioner on the Schur complement. This is ok for -two dimensional problems, where a few hundred iterations bring the residual down -to the machine precision, but it's not going to work in three dimensions. - -It is not obvious what a good preconditioner would be here. The physical problem -we are solving with the Schur complement, is to associate to the Dirichlet data -$g$, the value of the Lagrange multiplier $\lambda$. $\lambda$ can be -interpreted as the *jump* in the normal gradient that needs to be imposed on $u$ -across $\Gamma$, in order to obtain the Dirichlet data $g$. - -So $S$ is some sort of Neumann to Dirichlet map, and we would like to have a -good approximation for the Dirichlet to Neumann map. A possibility would be to -use a Boundary Element approximation of the problem on $\Gamma$, and construct a -rough approximation of the hyper-singular operator for the Poisson problem -associated to $\Gamma$, which is precisely a Dirichlet to Neumann map. - -

Parallel Code

- -The simple code proposed here can serve as a starting point for more -complex problems which, to be solved, need to be run on parallel -code, possibly using distributed meshes (see step-17, step-40, and the -documentation for parallel::shared::Triangulation and -parallel::distributed::Triangulation). - -When using non-matching grids in parallel a problem arises: to compute the -matrix $C$ a process needs information about both meshes on the same portion of -real space but, when working with distributed meshes, this information may not -be available, because the locally owned part of the $\Omega$ triangulation -stored on a given processor may not be physically co-located with the locally -owned part of the $\Gamma$ triangulation stored on the same processor. - -Various strategies can be implemented to tackle this problem: - -- distribute the two meshes so that this constraint is satisfied; - -- use communication for the parts of real space where the constraint is not - satisfied; - -- use a distributed triangulation for the embedding space, and a shared - triangulation for the emdedded configuration. - -The latter strategy is clearly the easiest to implement, as most of the -functions used in this tutorial program will work unchanged also in the parallel -case. Of course one could use the reversal strategy (that is, have a distributed -embedded Triangulation and a shared embedding Triangulation). - -However, this strategy is most likely going to be more expensive, since by -definition the embedding grid is larger than the embedded grid, and it makes -more sense to distribute the largest of the two grids, maintaining the smallest -one shared among all processors. +The current tutorial program shows a one-way coupling between the fluid and the +solid, where the solid motion is imposed (and not solved for), and read in the +solid domain by exploiting the location and the weights of the solid quadrature +points. + +The structure of the code already allows one to implement a two-way coupling, +by exploiting the possibility to read values of the fluid velocity on the +quadrature points of the solid grid. For this to be more efficient in terms +of MPI communication patterns, one should maintain ownership of the quadrature +points on the solid processor that owns them. In the current code, it is +sufficient to define the IndexSet of the vectors used to exchange information +of the quadrature points by using the solid partition instead of the initial +fluid partition. + +This allows the combination of the technique used in this tutorial program +with those presented in the tutorial step-60 to solve a fluid structure +interaction problem with distributed Lagrange multipliers, on +parallel::distributed::Triangulation objects. + +The timings above show that the current preconditioning strategy does not work +well for Nitsche penalisation, and we should come up with a better +preconditioner if we want to aim at larger problems. Moreover, a checkpoint +restart strategy should be implemented to allow for longer simulations to be +interrupted and restored, as it is done for example in the tutorial step-69. diff --git a/examples/step-70/impeller.step b/examples/step-70/impeller.step new file mode 100644 index 0000000000..7e6125b52b --- /dev/null +++ b/examples/step-70/impeller.step @@ -0,0 +1,91433 @@ +ISO-10303-21; +HEADER; +FILE_DESCRIPTION(('FreeCAD Model'),'2;1'); +FILE_NAME( +'Z:/PROTORS/_AKTIVNI +PROJEKTI/LUNGSTORS/modeli/_Finalni/compressor_assembly/impeler.step', + '2020-04-28T15:17:03',(''),(''),'Open CASCADE STEP processor 7.3', + 'FreeCAD','Unknown'); +FILE_SCHEMA(('AUTOMOTIVE_DESIGN { 1 0 10303 214 1 1 1 1 }')); +ENDSEC; +DATA; +#1 = APPLICATION_PROTOCOL_DEFINITION('international standard', + 'automotive_design',2000,#2); +#2 = APPLICATION_CONTEXT( + 'core data for automotive mechanical design processes'); +#3 = SHAPE_DEFINITION_REPRESENTATION(#4,#10); +#4 = PRODUCT_DEFINITION_SHAPE('','',#5); +#5 = PRODUCT_DEFINITION('design','',#6,#9); 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-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 diff --git a/examples/step-70/parameters_23.prm b/examples/step-70/parameters_23.prm new file mode 100644 index 0000000000..b378a7308d --- /dev/null +++ b/examples/step-70/parameters_23.prm @@ -0,0 +1,39 @@ +subsection Stokes Immersed Problem + set Final time = 1 + set Homogeneous Dirichlet boundary ids = 0 + set Fluid bounding boxes extraction level = 1 + set Initial fluid refinement = 3 + set Initial solid refinement = 0 + set Nitsche penalty term = 10 + set Number of time steps = 101 + set Output frequency = 1 + set Particle insertion refinement = 3 + set Velocity degree = 2 + set Viscosity = 1 + subsection Angular velocity + set Function constants = + set Function expression = t < .500001 ? 5 : -5 + set Variable names = x,y,z,t + end + subsection Grid generation + set Grid one generator = hyper_rectangle + set Grid one generator arguments = -50,-50, -10: 50, 50, 40: false + set Grid two generator = ../impeller.vtk + set Grid two generator arguments = 1:../impeller.step + set Particle grid generator = hyper_ball + set Particle grid generator arguments = 30, 30, 20: 10: false + end + subsection Refinement and remeshing + set Maximum number of cells = 100000 + set Refinement coarsening fraction = 0.3 + set Refinement fraction = 0.3 + set Refinement maximal level = 6 + set Refinement step frequency = 5 + set Refinement strategy = fixed_fraction + end + subsection Right hand side + set Function constants = + set Function expression = 0; 0; 0; 0 + set Variable names = x,y,z,t + end +end diff --git a/examples/step-70/step-70.cc b/examples/step-70/step-70.cc index cc1e806876..ff328880b3 100644 --- a/examples/step-70/step-70.cc +++ b/examples/step-70/step-70.cc @@ -192,7 +192,7 @@ namespace Step70 // Instead of defining a time step increment, in this tutorial we prefer to // let the user choose a final simulation time, and the number of steps in // which we want to reach the final time - unsigned int number_of_time_steps = 1; + unsigned int number_of_time_steps = 501; double final_time = 1.0; // Instead of producing an output at every time step, we allow the user to @@ -204,9 +204,9 @@ namespace Step70 // datum. However it is relatively straightforward to incorporate some // elasticity model in this tutorial, and transform it into a fully fledged // FSI solver. - unsigned int initial_fluid_refinement = 3; + unsigned int initial_fluid_refinement = 5; unsigned int initial_solid_refinement = 3; - unsigned int particle_insertion_refinement = 1; + unsigned int particle_insertion_refinement = 3; // To provide a rough description of the fluid domain, we use the method // extract_rtree_level() applied to the tree of bounding boxes of each @@ -221,7 +221,7 @@ namespace Step70 // The only two parameters used in the equations are the viscosity of the // fluid, and the penalty term used in the Nitsche formulation: double viscosity = 1.0; - double penalty_term = 10; + double penalty_term = 100; // By default, we create a hyper_cube without colorisation, and we use // homogenous Dirichlet boundary conditions. In this set we store the @@ -292,7 +292,7 @@ namespace Step70 // // Refinement may be done every few time steps, instead of continuously, and // we control this value by the `refinement_frequency` parameter: - int max_level_refinement = 5; + int max_level_refinement = 7; std::string refinement_strategy = "fixed_fraction"; double coarsening_fraction = 0.3; double refinement_fraction = 0.3; @@ -370,7 +370,7 @@ namespace Step70 { Tensor<1, spacedim> displacement = p; - double dtheta = angular_velocity.value(p, 0) * time_step; + double dtheta = angular_velocity.value(p) * time_step; displacement[0] = std::cos(dtheta) * p[0] - std::sin(dtheta) * p[1]; displacement[1] = std::sin(dtheta) * p[0] + std::cos(dtheta) * p[1]; @@ -1554,9 +1554,13 @@ namespace Step70 void StokesImmersedProblem::run() { #ifdef USE_PETSC_LA - pcout << "Running using PETSc." << std::endl; + pcout << "Running StokesImmersedProblem<" + << Utilities::dim_string(dim, spacedim) << "> using PETSc." + << std::endl; #else - pcout << "Running using Trilinos." << std::endl; + pcout << "Running StokesImmersedProblem<" + << Utilities::dim_string(dim, spacedim) << "> using Trilinos." + << std::endl; #endif ComponentMask velocity_mask(spacedim + 1, true); @@ -1711,19 +1715,19 @@ namespace Step70 "Boundary Ids over which homogeneous Dirichlet boundary conditions are applied"); // Next section is dedicated to the parameters used to create the - // various grids. We will need three different triangulations: `Grid - // one` is used to define the fluid domain, `Grid two` defines the + // various grids. We will need three different triangulations: `Fluid grid` + // is used to define the fluid domain, `Solid grid` defines the // solid domain, and `Particle grid` is used to distribute some tracer // particles, that are advected with the velocity and only used as // passive tracers. enter_my_subsection(this->prm); this->prm.enter_subsection("Grid generation"); - this->prm.add_parameter("Grid one generator", name_of_fluid_grid); - this->prm.add_parameter("Grid one generator arguments", + this->prm.add_parameter("Fluid grid generator", name_of_fluid_grid); + this->prm.add_parameter("Fluid grid generator arguments", arguments_for_fluid_grid); - this->prm.add_parameter("Grid two generator", name_of_solid_grid); - this->prm.add_parameter("Grid two generator arguments", + this->prm.add_parameter("Solid grid generator", name_of_solid_grid); + this->prm.add_parameter("Solid grid generator arguments", arguments_for_solid_grid); this->prm.add_parameter("Particle grid generator", name_of_particle_grid); @@ -1751,21 +1755,29 @@ namespace Step70 this->prm.leave_subsection(); leave_my_subsection(this->prm); - // correct the default dimension for the functions + // correct the default dimension for the rhs function rhs.declare_parameters_call_back.connect([&]() { Functions::ParsedFunction::declare_parameters(this->prm, spacedim + 1); }); - angular_velocity.declare_parameters_call_back.connect([&]() { - Functions::ParsedFunction::declare_parameters( - this->prm, spacedim == 3 ? spacedim : 1); - }); + // and define a meaningful default angular velocity instaed of zero + angular_velocity.declare_parameters_call_back.connect( + [&]() { this->prm.set("Function expression", "t < .500001 ? 5 : -5"); }); } } // namespace Step70 -// The remainder of the code, the main function, is standard. +// The remainder of the code, the main function, is standard, with the exception +// of the handling of input parameter files. +// We allow the user to specify an optional parameter file as an argument to the +// program. If nothing is specified, we use the default file "parameters.prm", +// which is created if non existent. +// The file name is scanned for the the string "23" first, and "3" afterwards. +// If the filename contains the string "23", a the problem classes are +// instantiated with template arguments 2 and 3 respectively. If only the string +// "3" is found, then both template arguments are set to 3, otherwise both are +// set to 2. int main(int argc, char *argv[]) { using namespace Step70; @@ -1775,12 +1787,46 @@ int main(int argc, char *argv[]) { Utilities::MPI::MPI_InitFinalize mpi_initialization(argc, argv, 1); - StokesImmersedProblemParameters<2, 3> par; - ParameterAcceptor::initialize("parameters_23.prm", - "used_parameters_23.prm"); + // Interpret the + std::string prm_file; + if (argc > 1) + { + prm_file = argv[1]; + } + else + { + prm_file = "parameters.prm"; + } - StokesImmersedProblem<2, 3> problem(par); - problem.run(); + std::string used_prm_file = prm_file; + used_prm_file.insert(used_prm_file.find_last_of("."), "_used"); + + // deduce the dimension of the problem from the name of the + // parameter file specified at the command line + if (prm_file.find("23") != std::string::npos) + { + StokesImmersedProblemParameters<2, 3> par; + ParameterAcceptor::initialize(prm_file, used_prm_file); + + StokesImmersedProblem<2, 3> problem(par); + problem.run(); + } + else if (prm_file.find("3") != std::string::npos) + { + StokesImmersedProblemParameters<3> par; + ParameterAcceptor::initialize(prm_file, used_prm_file); + + StokesImmersedProblem<3> problem(par); + problem.run(); + } + else + { + StokesImmersedProblemParameters<2> par; + ParameterAcceptor::initialize(prm_file, used_prm_file); + + StokesImmersedProblem<2> problem(par); + problem.run(); + } } catch (std::exception &exc) {