poisson_2d_homogeneous.cpp

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/**
 * \file poisson_2d_homogeneous.cpp
 * \example poisson_2d_homogeneous.cpp
 *
 * Solution of poisson equation. Direct implementation of User Data Operators
 * for teaching proposes.
 *
 * \note In practical application we suggest use form integrators to generalise
 * and simplify code. However, here we like to expose user to ways how to
 * implement data operator from scratch.
 */
 
constexpr auto field_name = "U";
 
#include <BasicFiniteElements.hpp>
#include <poisson_2d_homogeneous.hpp>
 
using namespace MoFEM;
using namespace Poisson2DHomogeneousOperators;
 
using PostProcFaceEle =
    PostProcBrokenMeshInMoab<FaceElementForcesAndSourcesCore>;
 
static char help[] = "...\n\n";
 
struct Poisson2DHomogeneous {
public:
  Poisson2DHomogeneous(MoFEM::Interface &m_field);
 
  // Declaration of the main function to run analysis
  MoFEMErrorCode runProgram();
 
private:
  // Declaration of other main functions called in runProgram()
  MoFEMErrorCode readMesh();
  MoFEMErrorCode setupProblem();
  MoFEMErrorCode boundaryCondition();
  MoFEMErrorCode assembleSystem();
  MoFEMErrorCode setIntegrationRules();
  MoFEMErrorCode solveSystem();
  MoFEMErrorCode outputResults();
 
  // MoFEM interfaces
  MoFEM::Interface &mField;
  Simple *simpleInterface;
 
  // Field name and approximation order
  int oRder;
};
 
Poisson2DHomogeneous::Poisson2DHomogeneous(MoFEM::Interface &m_field)
    : mField(m_field) {}
 
//! [Read mesh]
MoFEMErrorCode Poisson2DHomogeneous::readMesh() {
  MoFEMFunctionBegin;
 
  CHKERR mField.getInterface(simpleInterface);
  CHKERR simpleInterface->getOptions();
  CHKERR simpleInterface->loadFile();
 
  MoFEMFunctionReturn(0);
}
//! [Read mesh]
 
//! [Setup problem]
MoFEMErrorCode Poisson2DHomogeneous::setupProblem() {
  MoFEMFunctionBegin;
 
  CHKERR simpleInterface->addDomainField(field_name, H1,
                                         AINSWORTH_LEGENDRE_BASE, 1);
 
  int oRder = 3;
  CHKERR PetscOptionsGetInt(PETSC_NULL, "", "-order", &oRder, PETSC_NULL);
  CHKERR simpleInterface->setFieldOrder(field_name, oRder);
 
  CHKERR simpleInterface->setUp();
 
  MoFEMFunctionReturn(0);
}
//! [Setup problem]
 
//! [Boundary condition]
MoFEMErrorCode Poisson2DHomogeneous::boundaryCondition() {
  MoFEMFunctionBegin;
 
  auto bc_mng = mField.getInterface<BcManager>();
 
  // Remove BCs from blockset name "BOUNDARY_CONDITION";
  CHKERR bc_mng->removeBlockDOFsOnEntities<BcScalarMeshsetType<BLOCKSET>>(
      simpleInterface->getProblemName(), "BOUNDARY_CONDITION",
      std::string(field_name), true);
 
  MoFEMFunctionReturn(0);
}
//! [Boundary condition]
 
//! [Assemble system]
MoFEMErrorCode Poisson2DHomogeneous::assembleSystem() {
  MoFEMFunctionBegin;
 
  auto pipeline_mng = mField.getInterface<PipelineManager>();
 
  constexpr int space_dim = 2;
 
  { // Push operators to the Pipeline that is responsible for calculating LHS
    CHKERR AddHOOps<space_dim, space_dim, space_dim>::add(
        pipeline_mng->getOpDomainLhsPipeline(), {H1});
    pipeline_mng->getOpDomainLhsPipeline().push_back(
        new OpDomainLhsMatrixK(field_name, field_name));
  }
 
  { // Push operators to the Pipeline that is responsible for calculating RHS
 
    auto set_values_to_bc_dofs = [&](auto &fe) {
      auto get_bc_hook = [&]() {
        EssentialPreProc<TemperatureCubitBcData> hook(mField, fe, {});
        return hook;
      };
      fe->preProcessHook = get_bc_hook();
    };
 
    auto calculate_residual_from_set_values_on_bc = [&](auto &pipeline) {
      using DomainEle =
          PipelineManager::ElementsAndOpsByDim<space_dim>::DomainEle;
      using DomainEleOp = DomainEle::UserDataOperator;
      using OpInternal = FormsIntegrators<DomainEleOp>::Assembly<
          PETSC>::LinearForm<GAUSS>::OpGradTimesTensor<1, 1, space_dim>;
 
      auto grad_u_vals_ptr = boost::make_shared<MatrixDouble>();
      pipeline_mng->getOpDomainRhsPipeline().push_back(
          new OpCalculateScalarFieldGradient<space_dim>(field_name,
                                                        grad_u_vals_ptr));
      pipeline_mng->getOpDomainRhsPipeline().push_back(
          new OpInternal(field_name, grad_u_vals_ptr,
                         [](double, double, double) constexpr { return -1; }));
    };
 
    CHKERR AddHOOps<space_dim, space_dim, space_dim>::add(
        pipeline_mng->getOpDomainRhsPipeline(), {H1});
    set_values_to_bc_dofs(pipeline_mng->getDomainRhsFE());
    calculate_residual_from_set_values_on_bc(
        pipeline_mng->getOpDomainRhsPipeline());
    pipeline_mng->getOpDomainRhsPipeline().push_back(
        new OpDomainRhsVectorF(field_name));
  }
 
  MoFEMFunctionReturn(0);
}
//! [Assemble system]
 
//! [Set integration rules]
MoFEMErrorCode Poisson2DHomogeneous::setIntegrationRules() {
  MoFEMFunctionBegin;
 
  auto rule_lhs = [](int, int, int p) -> int { return 2 * (p - 1); };
  auto rule_rhs = [](int, int, int p) -> int { return p; };
 
  auto pipeline_mng = mField.getInterface<PipelineManager>();
  CHKERR pipeline_mng->setDomainLhsIntegrationRule(rule_lhs);
  CHKERR pipeline_mng->setDomainRhsIntegrationRule(rule_rhs);
 
  MoFEMFunctionReturn(0);
}
//! [Set integration rules]
 
//! [Solve system]
MoFEMErrorCode Poisson2DHomogeneous::solveSystem() {
  MoFEMFunctionBegin;
 
  auto pipeline_mng = mField.getInterface<PipelineManager>();
 
  auto ksp_solver = pipeline_mng->createKSP();
  CHKERR KSPSetFromOptions(ksp_solver);
  CHKERR KSPSetUp(ksp_solver);
 
  // Create RHS and solution vectors
  auto dm = simpleInterface->getDM();
  auto F = smartCreateDMVector(dm);
  auto D = smartVectorDuplicate(F);
 
  // Solve the system
  CHKERR KSPSolve(ksp_solver, F, D);
 
  // Scatter result data on the mesh
  CHKERR VecGhostUpdateBegin(D, INSERT_VALUES, SCATTER_FORWARD);
  CHKERR VecGhostUpdateEnd(D, INSERT_VALUES, SCATTER_FORWARD);
  CHKERR DMoFEMMeshToLocalVector(dm, D, INSERT_VALUES, SCATTER_REVERSE);
 
  MoFEMFunctionReturn(0);
}
//! [Solve system]
 
//! [Output results]
MoFEMErrorCode Poisson2DHomogeneous::outputResults() {
  MoFEMFunctionBegin;
 
  auto pipeline_mng = mField.getInterface<PipelineManager>();
  pipeline_mng->getDomainLhsFE().reset();
 
  auto post_proc_fe = boost::make_shared<PostProcFaceEle>(mField);
 
  auto det_ptr = boost::make_shared<VectorDouble>();
  auto jac_ptr = boost::make_shared<MatrixDouble>();
  auto inv_jac_ptr = boost::make_shared<MatrixDouble>();
 
  constexpr auto SPACE_DIM = 2; // dimension of problem
 
  post_proc_fe->getOpPtrVector().push_back(
      new OpCalculateHOJac<SPACE_DIM>(jac_ptr));
  post_proc_fe->getOpPtrVector().push_back(
      new OpInvertMatrix<SPACE_DIM>(jac_ptr, det_ptr, inv_jac_ptr));
  post_proc_fe->getOpPtrVector().push_back(
      new OpSetHOInvJacToScalarBases<SPACE_DIM>(H1, inv_jac_ptr));
 
 
  auto u_ptr = boost::make_shared<VectorDouble>();
  auto grad_u_ptr = boost::make_shared<MatrixDouble>();
  post_proc_fe->getOpPtrVector().push_back(
      new OpCalculateScalarFieldValues(field_name, u_ptr));
 
  post_proc_fe->getOpPtrVector().push_back(
      new OpCalculateScalarFieldGradient<SPACE_DIM>(field_name, grad_u_ptr));
 
  using OpPPMap = OpPostProcMapInMoab<SPACE_DIM, SPACE_DIM>;
 
  post_proc_fe->getOpPtrVector().push_back(
 
      new OpPPMap(post_proc_fe->getPostProcMesh(),
                  post_proc_fe->getMapGaussPts(),
 
                  OpPPMap::DataMapVec{{"U", u_ptr}},
 
                  OpPPMap::DataMapMat{{"GRAD_U", grad_u_ptr}},
 
                  OpPPMap::DataMapMat{},
 
                  OpPPMap::DataMapMat{}
 
                  )
 
  );
 
  pipeline_mng->getDomainRhsFE() = post_proc_fe;
  CHKERR pipeline_mng->loopFiniteElements();
  CHKERR post_proc_fe->writeFile("out_result.h5m");
 
  MoFEMFunctionReturn(0);
}
//! [Output results]
 
//! [Run program]
MoFEMErrorCode Poisson2DHomogeneous::runProgram() {
  MoFEMFunctionBegin;
 
  CHKERR readMesh();
  CHKERR setupProblem();
  CHKERR boundaryCondition();
  CHKERR setIntegrationRules();
  CHKERR assembleSystem();
  CHKERR solveSystem();
  CHKERR outputResults();
 
  MoFEMFunctionReturn(0);
}
//! [Run program]
 
//! [Main]
int main(int argc, char *argv[]) {
 
  // Initialisation of MoFEM/PETSc and MOAB data structures
  const char param_file[] = "param_file.petsc";
  MoFEM::Core::Initialize(&argc, &argv, param_file, help);
 
  // Error handling
  try {
    // Register MoFEM discrete manager in PETSc
    DMType dm_name = "DMMOFEM";
    CHKERR DMRegister_MoFEM(dm_name);
 
    // Create MOAB instance
    moab::Core mb_instance;              // mesh database
    moab::Interface &moab = mb_instance; // mesh database interface
 
    // Create MoFEM instance
    MoFEM::Core core(moab);           // finite element database
    MoFEM::Interface &m_field = core; // finite element interface
 
    // Run the main analysis
    Poisson2DHomogeneous poisson_problem(m_field);
    CHKERR poisson_problem.runProgram();
  }
  CATCH_ERRORS;
 
  // Finish work: cleaning memory, getting statistics, etc.
  MoFEM::Core::Finalize();
 
  return 0;
}
//! [Main]