solver.hpp

/******************************************************************************
 * Copyright (C) Siarhei Uzunbajakau, 2023.
 *
 * This program is free software. You can use, modify, and redistribute it under
 * the terms of the GNU Lesser General Public License as published by the Free
 * Software Foundation, either version 3 or (at your option) any later version.
 * This program is distributed without any warranty.
 *
 * Refer to COPYING.LESSER for more details.
 ******************************************************************************/
 
#ifndef SolverFLC_H__
#define SolverFLC_H__
 
#define BOOST_ALLOW_DEPRECATED_HEADERS
 
#include <deal.II/base/function.h>
#include <deal.II/grid/grid_generator.h>
#include <deal.II/grid/grid_in.h>
#include <deal.II/grid/manifold_lib.h>
 
#include <deal.II/numerics/fe_field_function.h>
 
#include "exact_solution.hpp"
#include "settings.hpp"
#include "static_scalar_solver.hpp"
 
#define TMR(__name) TimerOutput::Scope timer_section(timer, __name)
 
using namespace StaticScalarSolver;
 
template<int dim>
class SolverFLC
  : public SettingsFLC
  , public Solver<dim>
{
public:
  SolverFLC() = delete;
 
  SolverFLC(unsigned int p,
            unsigned int mapping_degree,
            unsigned int r,
            std::string fname)
    : Solver<dim>(p,
                  mapping_degree,
                  0,
                  fname,
                  &exact_solution,
                  false,
                  false,
                  print_time_tables,
                  project_exact_solution,
                  true)
    , r(r)
    , fname(fname)
    , dirichlet_function_in(1.0)
    , fe_slice(1)
  {
    TimerOutput::OutputFrequency tf =
      (print_time_tables) ? TimerOutput::summary : TimerOutput::never;
 
    TimerOutput timer(std::cout, tf, TimerOutput::cpu_and_wall_times_grouped);
 
    {
      TMR("Solver run");
      Solver<dim>::run();
    }
    {
      TMR("Data slice");
      data_slice(fname);
    }
  }
 
  ~SolverFLC() = default;
 
private:
  const unsigned int r;
  const std::string fname;
 
  const ExactSolutionFLC_PHI<dim> exact_solution;
  const dealii::Functions::ZeroFunction<dim> dirichlet_function_out;
  const dealii::Functions::ConstantFunction<dim> dirichlet_function_in;
 
  // The amount of global mesh refinements that need to be done to the
  // one-dimensional mesh used for the plot of potential vs. x coordinate.
  const unsigned int nr_slice_global_refs = 10;
 
  // These four data members are needed for making the plot of potential
  // vs. x coordinate.
  Triangulation<1, dim> triangulation_slice;
  FE_Q<1, dim> fe_slice;
  DoFHandler<1, dim> dof_handler_slice;
  Vector<double> solution_slice;
 
  SphericalManifold<dim> sphere;
 
  virtual void make_mesh() override final;
  virtual void fill_dirichlet_stack() override final;
  virtual void solve() override final;
 
  void mark_materials();
 
  // This function makes the plot of potential vs. x coordinate.
  void data_slice(std::string fname);
};
 
template<int dim>
void
SolverFLC<dim>::fill_dirichlet_stack()
{
  Solver<dim>::dirichlet_stack = { { bid_in, &dirichlet_function_in },
                                   { bid_out, &dirichlet_function_out } };
}
 
template<int dim>
void
SolverFLC<dim>::mark_materials()
{
  Point<dim> origin;
 
  double dist;
  for (auto cell : Solver<dim>::triangulation.active_cell_iterators()) {
    dist = cell->center().norm();
    if (dist < d_1) {
      cell->set_material_id(mid_1);
    } else if (dist < d_2) {
      cell->set_material_id(mid_3);
    } else if (dist < b) {
      cell->set_material_id(mid_2);
    }
 
    for (unsigned int f = 0; f < GeometryInfo<dim>::faces_per_cell; ++f) {
      if (cell->face(f)->at_boundary()) {
        if (cell->center().norm() > d_1) {
          cell->face(f)->set_all_boundary_ids(bid_out);
        } else {
          cell->face(f)->set_all_boundary_ids(bid_in);
        }
      }
    }
  }
 
  Solver<dim>::triangulation.set_all_manifold_ids(1);
  Solver<dim>::triangulation.set_manifold(1, sphere);
}
 
template<int dim>
void
SolverFLC<dim>::data_slice(std::string fname)
{
  GridGenerator::hyper_cube(triangulation_slice, a + eps, b - eps);
  triangulation_slice.refine_global(nr_slice_global_refs);
 
  dof_handler_slice.reinit(triangulation_slice);
  dof_handler_slice.distribute_dofs(fe_slice);
  solution_slice.reinit(dof_handler_slice.n_dofs());
 
  Functions::FEFieldFunction<dim> potential(Solver<dim>::dof_handler,
                                            Solver<dim>::solution);
 
  VectorTools::interpolate(dof_handler_slice, potential, solution_slice);
 
  // DataOut<1,DoFHandler<1,dim>> data_out;
  DataOut<1, dim> data_out;
 
  data_out.attach_dof_handler(dof_handler_slice);
  data_out.add_data_vector(solution_slice, "solution_slice");
  data_out.build_patches();
 
  std::ofstream out(fname + "_slice" + ".gpi");
 
  data_out.write_gnuplot(out);
  out.close();
}
 
template<int dim>
void
SolverFLC<dim>::solve()
{
  SolverControl control(Solver<dim>::system_rhs.size(),
                        1e-8 * Solver<dim>::system_rhs.l2_norm(),
                        false,
                        false);
 
  if (log_cg_convergence)
    control.enable_history_data();
 
  GrowingVectorMemory<Vector<double>> memory;
  SolverCG<Vector<double>> cg(control, memory);
 
  PreconditionJacobi<SparseMatrix<double>> preconditioner;
  preconditioner.initialize(Solver<dim>::system_matrix, 1.0);
 
  cg.solve(Solver<dim>::system_matrix,
           Solver<dim>::solution,
           Solver<dim>::system_rhs,
           preconditioner);
 
  Solver<dim>::constraints.distribute(Solver<dim>::solution);
 
  if (log_cg_convergence) {
    const std::vector<double> history_data = control.get_history_data();
 
    std::ofstream ofs(fname + "_cg_convergence.csv");
 
    unsigned int i = 1;
    for (auto item : history_data) {
      ofs << i << ", " << item << "\n";
      i++;
    }
    ofs.close();
  }
}
 
#endif