301 lines
10 KiB
C++
301 lines
10 KiB
C++
// MFEM Example 1 - Parallel Version
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// PUMI Modification
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//
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// Compile with: make ex1p
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//
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// Sample runs:
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// mpirun -np 8 ex1p -m ../../data/pumi/parallel/Kova/Kova100k_8.smb
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// -p ../../data/pumi/geom/Kova.dmg -o 1 -go 2
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//
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// Note: Example models + meshes for the PUMI examples can be downloaded
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// from github.com/mfem/data/pumi. After downloading we recommend
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// creating a symbolic link to the above directory in ../../data.
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//
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// Description: This example code demonstrates the use of MFEM to define a
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// simple finite element discretization of the Laplace problem
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// -Delta u = 1 with homogeneous Dirichlet boundary conditions.
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// Specifically, we discretize using a FE space of the specified
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// order, or if order < 1 using an isoparametric/isogeometric
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// space (i.e. quadratic for quadratic curvilinear mesh, NURBS for
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// NURBS mesh, etc.)
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//
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// The example highlights the use of mesh refinement, finite
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// element grid functions, as well as linear and bilinear forms
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// corresponding to the left-hand side and right-hand side of the
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// discrete linear system. We also cover the explicit elimination
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// of essential boundary conditions, static condensation, and the
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// optional connection to the GLVis tool for visualization.
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//
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// This PUMI modification demonstrates how PUMI's API can be used
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// to load a parallel PUMI mesh classified on a geometric model
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// and then generate the corresponding parallel MFEM mesh. The
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// example also performs a "uniform" refinement, similar to the
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// MFEM examples, for coarse meshes. However, the refinement is
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// performed using the PUMI API. The inputs are a Parasolid
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// model, "*.xmt_txt" and SCOREC parallel meshes "*.smb". The
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// option "-o" is used for the Finite Element order and "-go" for
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// the geometry order. Note that they can be used independently:
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// "-o 8 -go 3" solves for 8th order FE on third order geometry.
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//
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// NOTE: Model/Mesh files for this example are in the (large) data file
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// repository of MFEM here https://github.com/mfem/data under the
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// folder named "pumi", which consists of the following sub-folders:
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// a) geom --> model files
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// b) parallel --> parallel pumi mesh files
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// c) serial --> serial pumi mesh files
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#include "mfem.hpp"
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#include <fstream>
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#include <iostream>
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#ifdef MFEM_USE_SIMMETRIX
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#include <SimUtil.h>
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#include <gmi_sim.h>
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#endif
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#include <apfMDS.h>
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#include <gmi_null.h>
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#include <PCU.h>
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#include <apfConvert.h>
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#include <gmi_mesh.h>
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#include <crv.h>
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using namespace std;
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using namespace mfem;
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int main(int argc, char *argv[])
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{
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// 1. Initialize MPI.
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int num_procs, myid;
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MPI_Init(&argc, &argv);
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MPI_Comm_size(MPI_COMM_WORLD, &num_procs);
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MPI_Comm_rank(MPI_COMM_WORLD, &myid);
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// 2. Parse command-line options.
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const char *mesh_file = "../../data/pumi/parallel/Kova/Kova100k_8.smb";
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#ifdef MFEM_USE_SIMMETRIX
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const char *model_file = "../../data/pumi/geom/Kova.x_t";
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#else
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const char *model_file = "../../data/pumi/geom/Kova.dmg";
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#endif
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int order = 1;
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bool static_cond = false;
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bool visualization = 1;
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int geom_order = 1;
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OptionsParser args(argc, argv);
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args.AddOption(&mesh_file, "-m", "--mesh",
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"Mesh file to use.");
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args.AddOption(&order, "-o", "--order",
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"Finite element order (polynomial degree) or -1 for"
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" isoparametric space.");
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args.AddOption(&static_cond, "-sc", "--static-condensation", "-no-sc",
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"--no-static-condensation", "Enable static condensation.");
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args.AddOption(&visualization, "-vis", "--visualization", "-no-vis",
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"--no-visualization",
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"Enable or disable GLVis visualization.");
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args.AddOption(&model_file, "-p", "--parasolid",
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"Parasolid model to use.");
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args.AddOption(&geom_order, "-go", "--geometry_order",
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"Geometric order of the model");
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args.Parse();
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if (!args.Good())
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{
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if (myid == 0)
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{
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args.PrintUsage(cout);
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}
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MPI_Finalize();
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return 1;
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}
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if (myid == 0)
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{
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args.PrintOptions(cout);
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}
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// 3. Read the SCOREC Mesh
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PCU_Comm_Init();
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#ifdef MFEM_USE_SIMMETRIX
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Sim_readLicenseFile(0);
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gmi_sim_start();
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gmi_register_sim();
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#endif
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gmi_register_mesh();
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apf::Mesh2* pumi_mesh;
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pumi_mesh = apf::loadMdsMesh(model_file, mesh_file);
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// 4. Increase the geometry order and refine the mesh if necessary. Parallel
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// uniform refinement is performed if the total number of elements is less
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// than 10,000.
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int dim = pumi_mesh->getDimension();
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int nEle = pumi_mesh->count(dim);
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int ref_levels = (int)floor(log(10000./nEle)/log(2.)/dim);
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if (geom_order > 1)
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{
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crv::BezierCurver bc(pumi_mesh, geom_order, 2);
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bc.run();
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}
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// Perform Uniform refinement
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if (ref_levels > 1)
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{
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ma::Input* uniInput = ma::configureUniformRefine(pumi_mesh, ref_levels);
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if (geom_order > 1)
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{
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crv::adapt(uniInput);
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}
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else
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{
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ma::adapt(uniInput);
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}
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}
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pumi_mesh->verify();
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// 5. Create the parallel MFEM mesh object from the parallel PUMI mesh.
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// We can handle triangular and tetrahedral meshes. Note that the
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// mesh resolution is performed on the PUMI mesh.
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ParMesh *pmesh = new ParPumiMesh(MPI_COMM_WORLD, pumi_mesh);
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// 6. Define a parallel finite element space on the parallel mesh. Here we
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// use continuous Lagrange finite elements of the specified order. If
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// order < 1, we instead use an isoparametric/isogeometric space.
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FiniteElementCollection *fec;
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if (order > 0)
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{
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fec = new H1_FECollection(order, dim);
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}
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else if (pmesh->GetNodes())
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{
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fec = pmesh->GetNodes()->OwnFEC();
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if (myid == 0)
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{
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cout << "Using isoparametric FEs: " << fec->Name() << endl;
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}
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}
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else
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{
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fec = new H1_FECollection(order = 1, dim);
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}
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ParFiniteElementSpace *fespace = new ParFiniteElementSpace(pmesh, fec);
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HYPRE_Int size = fespace->GlobalTrueVSize();
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if (myid == 0)
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{
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cout << "Number of finite element unknowns: " << size << endl;
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}
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// 7. Determine the list of true (i.e. parallel conforming) essential
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// boundary dofs. In this example, the boundary conditions are defined
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// by marking all the boundary attributes from the mesh as essential
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// (Dirichlet) and converting them to a list of true dofs.
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Array<int> ess_tdof_list;
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if (pmesh->bdr_attributes.Size())
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{
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Array<int> ess_bdr(pmesh->bdr_attributes.Max());
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ess_bdr = 1;
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fespace->GetEssentialTrueDofs(ess_bdr, ess_tdof_list);
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}
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// 8. Set up the parallel linear form b(.) which corresponds to the
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// right-hand side of the FEM linear system, which in this case is
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// (1,phi_i) where phi_i are the basis functions in fespace.
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ParLinearForm *b = new ParLinearForm(fespace);
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ConstantCoefficient one(1.0);
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b->AddDomainIntegrator(new DomainLFIntegrator(one));
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b->Assemble();
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// 9. Define the solution vector x as a parallel finite element grid function
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// corresponding to fespace. Initialize x with initial guess of zero,
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// which satisfies the boundary conditions.
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ParGridFunction x(fespace);
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x = 0.0;
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// 10. Set up the parallel bilinear form a(.,.) on the finite element space
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// corresponding to the Laplacian operator -Delta, by adding the Diffusion
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// domain integrator.
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ParBilinearForm *a = new ParBilinearForm(fespace);
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a->AddDomainIntegrator(new DiffusionIntegrator(one));
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// 11. Assemble the parallel bilinear form and the corresponding linear
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// system, applying any necessary transformations such as: parallel
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// assembly, eliminating boundary conditions, applying conforming
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// constraints for non-conforming AMR, static condensation, etc.
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if (static_cond) { a->EnableStaticCondensation(); }
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a->Assemble();
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HypreParMatrix A;
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Vector B, X;
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a->FormLinearSystem(ess_tdof_list, x, *b, A, X, B);
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if (myid == 0)
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{
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cout << "Size of linear system: " << A.GetGlobalNumRows() << endl;
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}
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// 12. Define and apply a parallel PCG solver for AX=B with the BoomerAMG
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// preconditioner from hypre.
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HypreSolver *amg = new HypreBoomerAMG(A);
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HyprePCG *pcg = new HyprePCG(A);
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pcg->SetTol(1e-12);
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pcg->SetMaxIter(200);
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pcg->SetPrintLevel(2);
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pcg->SetPreconditioner(*amg);
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pcg->Mult(B, X);
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// 13. Recover the parallel grid function corresponding to X. This is the
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// local finite element solution on each processor.
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a->RecoverFEMSolution(X, *b, x);
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// 14. Save the refined mesh and the solution in parallel. This output can
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// be viewed later using GLVis: "glvis -np <np> -m mesh -g sol".
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{
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ostringstream mesh_name, sol_name;
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mesh_name << "mesh." << setfill('0') << setw(6) << myid;
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sol_name << "sol." << setfill('0') << setw(6) << myid;
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ofstream mesh_ofs(mesh_name.str().c_str());
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mesh_ofs.precision(8);
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pmesh->Print(mesh_ofs);
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ofstream sol_ofs(sol_name.str().c_str());
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sol_ofs.precision(8);
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x.Save(sol_ofs);
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}
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// 15. Send the solution by socket to a GLVis server.
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if (visualization)
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{
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char vishost[] = "localhost";
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int visport = 19916;
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socketstream sol_sock(vishost, visport);
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sol_sock << "parallel " << num_procs << " " << myid << "\n";
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sol_sock.precision(8);
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sol_sock << "solution\n" << *pmesh << x << flush;
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}
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// 16. Free the used memory.
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delete pcg;
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delete amg;
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delete a;
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delete b;
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delete fespace;
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if (order > 0) { delete fec; }
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delete pmesh;
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pumi_mesh->destroyNative();
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apf::destroyMesh(pumi_mesh);
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PCU_Comm_Free();
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#ifdef MFEM_USE_SIMMETRIX
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gmi_sim_stop();
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Sim_unregisterAllKeys();
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#endif
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MPI_Finalize();
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return 0;
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}
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