Program Listing for File elasticity.h

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// ---------------------------------------------------------------------
//
// Copyright (C) 2024 by Luca Heltai
//
// This file is part of the reduced_lagrange_multipliers application, based on
// the deal.II library.
//
// The reduced_lagrange_multipliers application is free software; you can use
// it, redistribute it, and/or modify it under the terms of the Apache-2.0
// License WITH LLVM-exception as published by the Free Software Foundation;
// either version 3.0 of the License, or (at your option) any later version. The
// full text of the license can be found in the file LICENSE.md at the top level
// of the reduced_lagrange_multipliers distribution.
//
// ---------------------------------------------------------------------

/* ---------------------------------------------------------------------
 */
#ifndef dealii_distributed_lagrange_multiplier_elasticity_h
#define dealii_distributed_lagrange_multiplier_elasticity_h

#include <deal.II/base/function.h>
#include <deal.II/base/parsed_convergence_table.h>
#include <deal.II/base/quadrature_lib.h>
#include <deal.II/base/timer.h>

#include <deal.II/lac/block_linear_operator.h>
#include <deal.II/lac/generic_linear_algebra.h>
#include <deal.II/lac/linear_operator.h>
#include <deal.II/lac/linear_operator_tools.h>
#define FORCE_USE_OF_TRILINOS
namespace LA
{
#if defined(DEAL_II_WITH_PETSC) && !defined(DEAL_II_PETSC_WITH_COMPLEX) && \
  !(defined(DEAL_II_WITH_TRILINOS) && defined(FORCE_USE_OF_TRILINOS))
  using namespace dealii::LinearAlgebraPETSc;
#  define USE_PETSC_LA
#elif defined(DEAL_II_WITH_TRILINOS)
  using namespace dealii::LinearAlgebraTrilinos;
#else
#  error DEAL_II_WITH_PETSC or DEAL_II_WITH_TRILINOS required
#endif
} // namespace LA
#include <deal.II/base/conditional_ostream.h>
#include <deal.II/base/index_set.h>
#include <deal.II/base/parameter_acceptor.h>
#include <deal.II/base/parsed_function.h>
#include <deal.II/base/utilities.h>
#include <deal.II/base/work_stream.h>

#include <deal.II/distributed/grid_refinement.h>
#include <deal.II/distributed/solution_transfer.h>
#include <deal.II/distributed/tria.h>

#include <deal.II/dofs/dof_handler.h>
#include <deal.II/dofs/dof_renumbering.h>
#include <deal.II/dofs/dof_tools.h>

#include <deal.II/fe/fe_nothing.h>
#include <deal.II/fe/fe_q.h>
#include <deal.II/fe/fe_system.h>
#include <deal.II/fe/fe_values.h>
#include <deal.II/fe/mapping_fe_field.h>
#include <deal.II/fe/mapping_q.h>

#include <deal.II/grid/grid_generator.h>
#include <deal.II/grid/grid_in.h>
#include <deal.II/grid/grid_out.h>
#include <deal.II/grid/grid_refinement.h>
#include <deal.II/grid/grid_tools.h>
#include <deal.II/grid/grid_tools_cache.h>
#include <deal.II/grid/manifold_lib.h>
#include <deal.II/grid/tria.h>
#include <deal.II/grid/tria_accessor.h>
#include <deal.II/grid/tria_iterator.h>

#include <deal.II/lac/affine_constraints.h>
#include <deal.II/lac/dynamic_sparsity_pattern.h>
#include <deal.II/lac/full_matrix.h>
#include <deal.II/lac/petsc_precondition.h>
#include <deal.II/lac/petsc_solver.h>
#include <deal.II/lac/petsc_sparse_matrix.h>
#include <deal.II/lac/petsc_vector.h>
#include <deal.II/lac/solver_cg.h>
#include <deal.II/lac/solver_gmres.h>
#include <deal.II/lac/solver_minres.h>
#include <deal.II/lac/sparsity_tools.h>
#include <deal.II/lac/trilinos_precondition.h>
#include <deal.II/lac/trilinos_solver.h>
#include <deal.II/lac/trilinos_sparse_matrix.h>
#include <deal.II/lac/trilinos_vector.h>

#include <deal.II/physics/elasticity/standard_tensors.h>

// #include <deal.II/trilinos/parameter_acceptor.h>
#include <deal.II/lac/vector.h>

#include <deal.II/meshworker/dof_info.h>
#include <deal.II/meshworker/integration_info.h>
#include <deal.II/meshworker/loop.h>
#include <deal.II/meshworker/scratch_data.h>
#include <deal.II/meshworker/simple.h>

#include <deal.II/numerics/data_out.h>
#include <deal.II/numerics/data_out_faces.h>
#include <deal.II/numerics/error_estimator.h>
#include <deal.II/numerics/vector_tools.h>
// #include <deal.II/numerics/matrix_tools.h>

#include <deal.II/opencascade/manifold_lib.h>
#include <deal.II/opencascade/utilities.h>

#include "inclusions.h"


#ifdef DEAL_II_WITH_OPENCASCADE
#  include <TopoDS.hxx>
#endif
#include <deal.II/base/hdf5.h>

#include <cmath>
#include <filesystem>
#include <fstream>
#include <iomanip>
#include <iostream>
#include <map>
#include <memory>
#include <set>
#include <string>
#include <system_error>

#include "elasticity_problem_parameters.h"
#include "material_properties.h"

template <int dim>
class RigidBodyMotion : public Function<dim>
{
public:
  RigidBodyMotion(const unsigned int type_);

  virtual double
  value(const Point<dim> &p, const unsigned int component) const override;

private:
  const unsigned int type;
};

template <int dim, int spacedim = dim>
class ElasticityProblem : public Subscriptor
{
public:
  ElasticityProblem(const ElasticityProblemParameters<dim, spacedim> &par);

  void
  make_grid();
  void
  setup_fe();
  void
  setup_dofs();
  void
  assemble_elasticity_system();
  void
  assemble_forcing_terms();
  void
  compute_system_rhs();
  void
  assemble_coupling();
  void
  run();

  void
  run_static();

  void
  run_quasistatic();

  void
  run_newmark();

  IndexSet
  assemble_coupling_sparsity(DynamicSparsityPattern &dsp);

  void
  solve();

  void
  solve_static();

  void
  solve_quasistatic();

  void
  solve_newmark();

  void
  refine_and_transfer();

  void
  refine_and_transfer_around_inclusions();

  void
  execute_actual_refine_and_transfer();

  std::string
  output_solution() const;

  void
  output_results() const;

  void
  print_parameters() const;

  void
  compute_internal_and_boundary_stress(bool) const;

  void
  output_lambda() const;

  std::string
  output_stresses() const;

  // void
  // compute_face_stress();

  const ElasticityProblemParameters<dim, spacedim> &par;
  MPI_Comm mpi_communicator;
  ConditionalOStream pcout;
  mutable TimerOutput computing_timer;
  parallel::distributed::Triangulation<spacedim> tria;
  std::unique_ptr<FiniteElement<spacedim>> fe;
  Inclusions<spacedim> inclusions;
  std::unique_ptr<Quadrature<spacedim>> quadrature;
  std::unique_ptr<Quadrature<spacedim - 1>> face_quadrature_formula;
  DoFHandler<spacedim>  dh;
  std::vector<IndexSet> owned_dofs;
  std::vector<IndexSet> relevant_dofs;

  AffineConstraints<double> constraints;
  AffineConstraints<double>
    inclusion_constraints;
  AffineConstraints<double> mean_value_constraints;

  LA::MPI::SparseMatrix stiffness_matrix;
  LA::MPI::SparseMatrix
    newmark_matrix;
  LA::MPI::SparseMatrix mass_matrix;
  LA::MPI::SparseMatrix coupling_matrix;
  LA::MPI::SparseMatrix damping_matrix;

  LA::MPI::PreconditionAMG prec_A;
  LA::MPI::PreconditionAMG prec_newmark;
  LA::MPI::PreconditionAMG prec_C;
  LA::MPI::PreconditionAMG prec_M;

  LA::MPI::SparseMatrix inclusion_matrix;
  LA::MPI::BlockVector  solution;
  LA::MPI::BlockVector  velocity;
  LA::MPI::BlockVector  acceleration;
  LA::MPI::BlockVector  predictor;
  LA::MPI::BlockVector  corrector;
  LA::MPI::BlockVector  locally_relevant_solution;
  LA::MPI::BlockVector  force_rhs;
  LA::MPI::BlockVector  bc_rhs;
  LA::MPI::BlockVector  neumann_bc_rhs;
  LA::MPI::BlockVector  system_rhs;

  std::vector<std::vector<BoundingBox<spacedim>>> global_bounding_boxes;
  unsigned int cycle = 0;
  unsigned int time_step = 0;

  FEValuesExtractors::Vector displacement;

  std::map<types::boundary_id, Tensor<1, spacedim>> forces;
  std::map<types::boundary_id, Tensor<1, spacedim>>
    average_displacements;
  std::map<types::boundary_id, Tensor<1, spacedim>>
    average_normals;
  std::map<types::boundary_id, double>
                                areas;
  TrilinosWrappers::MPI::Vector sigma_n;

  double current_time = 0.0;

  class Postprocessor;
};

#endif