Files
mfem/examples/pumi/ex1p.cpp
T

302 lines
10 KiB
C++

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