examples/pumi/ex6p.cpp

//                       MFEM Example 6 - Parallel Version
//                              PUMI Modification
//
// Compile with: make ex6p
//
// Sample runs:  mpirun -np 8 ex6p
//
// Description:  This is a version of Example 1 with a simple adaptive mesh
//               refinement loop. The problem being solved is again the Laplace
//               equation -Delta u = 1 with homogeneous Dirichlet boundary
//               conditions. The problem is solved on a sequence of meshes which
//               are adapted in a conforming (tetrahedrons) manner according
//               to a simple SPR ZZ error estimator.
//
//               This PUMI variation also performs a "uniform" refinement,
//               similar to MFEM examples, for coarse meshes. However, the
//               refinement is performed using the PUMI API. A new option "-ar"
//               is added to modify the "adapt_ratio" which is the fraction of
//               allowable error that scales the output size field of the error
//               estimator.
//
// 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 <spr.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.
   int num_procs, myid;
   MPI_Init(&argc, &argv);
   MPI_Comm_size(MPI_COMM_WORLD, &num_procs);
   MPI_Comm_rank(MPI_COMM_WORLD, &myid);

   // 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";
   const char *smd_file = NULL;
#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;
   double adapt_ratio = 0.05;

   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", "--model",
                  "parasolid or .dmg model to use.");
#ifdef MFEM_USE_SIMMETRIX
   args.AddOption(&smd_file, "-sm", "--smd_model",
                  "smd model file to use.");
#endif
   args.AddOption(&geom_order, "-go", "--geometry_order",
                  "Geometric order of the model");
   args.AddOption(&adapt_ratio, "-ar", "--adapt_ratio",
                  "adaptation factor used in MeshAdapt");
   args.Parse();
   if (!args.Good())
   {
      if (myid == 0)
      {
         args.PrintUsage(cout);
      }
      MPI_Finalize();
      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;
#ifdef MFEM_USE_SIMMETRIX
   if (smd_file)
   {
      gmi_model *mixed_model = gmi_sim_load(model_file, smd_file);
      pumi_mesh = apf::loadMdsMesh(mixed_model, mesh_file);
   }
   else
#endif
   {
      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 100,000.
   int dim = pumi_mesh->getDimension();
   int nEle = pumi_mesh->count(dim);
   int ref_levels = (int)floor(log(100000./nEle)/log(2.)/dim);

   if (geom_order > 1)
   {
      crv::BezierCurver bc(pumi_mesh, geom_order, 2);
      bc.run();
   }

   // Perform Uniform refinement
   if (myid == 1)
   {
      std::cout << " ref level : " <<     ref_levels << std::endl;
   }

   if (ref_levels > 1)
   {
      ma::Input* 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 == 1)
      {
         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 == 1)
   {
      cout << "Number of finite element unknowns: " << size << endl;
   }

   // 7. 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));

   // 8. 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;

   // 9. Connect to GLVis.
   char vishost[] = "localhost";
   int  visport   = 19916;

   socketstream sout;
   if (visualization)
   {
      sout.open(vishost, visport);
      if (!sout)
      {
         if (myid == 0)
         {
            cout << "Unable to connect to GLVis server at "
                 << vishost << ':' << visport << endl;
            cout << "GLVis visualization disabled.\n";
         }
         visualization = false;
      }

      sout.precision(8);
   }

   // 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(); }

   // 12. The main AMR loop. In each iteration we solve the problem on the
   //     current mesh, visualize the solution, and adapt the mesh.
   apf::Field* Tmag_field = 0;
   apf::Field* temp_field = 0;
   apf::Field* ipfield = 0;
   apf::Field* sizefield = 0;
   int max_iter = 3;

   for (int Itr = 0; Itr < max_iter; Itr++)
   {
      HYPRE_BigInt global_dofs = fespace->GlobalTrueVSize();
      if (myid == 1)
      {
         cout << "\nAMR iteration " << Itr << endl;
         cout << "Number of unknowns: " << global_dofs << endl;
      }

      // Assemble.
      a->Assemble();
      b->Assemble();

      // Essential boundary condition.
      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);
      }

      // Form linear system.
      HypreParMatrix A;
      Vector B, X;
      const int copy_interior = 1;
      a->FormLinearSystem(ess_tdof_list, x, *b, A, X, B, copy_interior);

      // 13. Define and apply a parallel PCG solver for AX=B with the BoomerAMG
      //     preconditioner from hypre.
      HypreBoomerAMG amg;
      amg.SetPrintLevel(0);
      CGSolver pcg(A.GetComm());
      pcg.SetPreconditioner(amg);
      pcg.SetOperator(A);
      pcg.SetRelTol(1e-6);
      pcg.SetMaxIter(200);
      pcg.SetPrintLevel(3); // print the first and the last iterations only
      pcg.Mult(B, X);

      // 14. Recover the parallel grid function corresponding to X. This is the
      //     local finite element solution on each processor.
      a->RecoverFEMSolution(X, *b, x);

      // 15. Save in parallel the displaced mesh and the inverted solution (which
      //     gives the backward displacements to the original grid). 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);
      }

      // 16. Send the above data by socket to a GLVis server.  Use the "n" and "b"
      //     keys in GLVis to visualize the displacements.
      if (visualization)
      {
         sout << "parallel " << num_procs << " " << myid << "\n";
         sout << "solution\n" << *pmesh << x << flush;
      }

      // 17. Field transfer. Scalar solution field and magnitude field for error
      //     estimation are created the PUMI mesh.
      if (order > geom_order)
      {
         Tmag_field = apf::createField(pumi_mesh, "field_mag",
                                       apf::SCALAR, apf::getLagrange(order));
         temp_field = apf::createField(pumi_mesh, "T_field",
                                       apf::SCALAR, apf::getLagrange(order));
      }
      else
      {
         Tmag_field = apf::createFieldOn(pumi_mesh, "field_mag",apf::SCALAR);
         temp_field = apf::createFieldOn(pumi_mesh, "T_field", apf::SCALAR);
      }

      ParPumiMesh* pPPmesh = dynamic_cast<ParPumiMesh*>(pmesh);
      pPPmesh->FieldMFEMtoPUMI(pumi_mesh, &x, temp_field, Tmag_field);

      ipfield= spr::getGradIPField(Tmag_field, "MFEM_gradip", 2);
      sizefield = spr::getSPRSizeField(ipfield, adapt_ratio);

      apf::destroyField(Tmag_field);
      apf::destroyField(ipfield);

      // 18. Perform MesAdapt.
      ma::Input* erinput = ma::configure(pumi_mesh, sizefield);
      erinput->shouldFixShape = true;
      erinput->maximumIterations = 2;
      if ( geom_order > 1)
      {
         crv::adapt(erinput);
      }
      else
      {
         ma::adapt(erinput);
      }

      ParMesh* Adapmesh = new ParPumiMesh(MPI_COMM_WORLD, pumi_mesh);
      pPPmesh->UpdateMesh(Adapmesh);
      delete Adapmesh;

      // 19. Update the FiniteElementSpace, GridFunction, and bilinear form.
      fespace->Update();
      x.Update();
      x = 0.0;

      pPPmesh->FieldPUMItoMFEM(pumi_mesh, temp_field, &x);
      a->Update();
      b->Update();

      // Destroy fields.
      apf::destroyField(temp_field);
      apf::destroyField(sizefield);
   }

   // 20. Free the used memory.
   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

   MPI_Finalize();

   return 0;
}