-New: MappingQCache has a new initialize function that takes
+New: MappingQCache has new initialize functions. One set of functions takes
either a std::function or a dealii::Function for transforming
-individual points.
+individual points. Another set of functions take global vectors (and
+MGLevelObjects of global vectors) and use these to initialize the position of
+the support points much like MappingFEField does.
<br>
(Niklas Fehn, Martin Kronbichler, Peter Munch, 2021/03/10)
#include <deal.II/base/config.h>
#include <deal.II/base/function.h>
+#include <deal.II/base/mg_level_object.h>
#include <deal.II/fe/mapping_q_generic.h>
DEAL_II_NAMESPACE_OPEN
+// Forward declarations
+#ifndef DOXYGEN
+template <int, int>
+class DoFHandler;
+#endif
/*!@addtogroup mapping */
const Function<spacedim> & transformation_function,
const bool function_describes_relative_displacement);
+ /**
+ * Initialize the data cache of the active cells by a discrete field
+ * (specified
+ * by @p dof_handler and @p vector) that describes the absolute or
+ * relative position of each support point.
+ *
+ * @note By using this function for reinitialization, this class behaves like
+ * MappingFEField (vector_describes_relative_displacement == false) or
+ * MappingQEulerian (vector_describes_relative_displacement == true), but
+ * with much more efficient operations internally.
+ */
+ template <typename VectorType>
+ void
+ initialize(const Mapping<dim, spacedim> & mapping,
+ const DoFHandler<dim, spacedim> &dof_handler,
+ const VectorType & vector,
+ const bool vector_describes_relative_displacement);
+
+ /**
+ * Initialize the data cache of all non-artificial cells by a solution
+ * (specified by @p dof_handler and a set of @p vectors on all levels of the
+ * triangulation) that describes the absolute or relative position of each
+ * support point.
+ *
+ * @note By using this function for reinitialization, this class behaves like
+ * MappingFEField (vector_describes_relative_displacement == false) or
+ * MappingQEulerian (vector_describes_relative_displacement == true), but
+ * with much more efficient operations internally.
+ */
+ template <typename VectorType>
+ void
+ initialize(const Mapping<dim, spacedim> & mapping,
+ const DoFHandler<dim, spacedim> &dof_handler,
+ const MGLevelObject<VectorType> &vectors,
+ const bool vector_describes_relative_displacement);
+
/**
* Return the memory consumption (in bytes) of the cache.
*/
// ---------------------------------------------------------------------
#include <deal.II/base/memory_consumption.h>
+#include <deal.II/base/utilities.h>
#include <deal.II/base/work_stream.h>
+#include <deal.II/dofs/dof_tools.h>
+
+#include <deal.II/fe/fe_dgq.h>
#include <deal.II/fe/fe_nothing.h>
+#include <deal.II/fe/fe_q.h>
#include <deal.II/fe/fe_tools.h>
#include <deal.II/fe/fe_values.h>
#include <deal.II/fe/mapping_q1.h>
#include <deal.II/fe/mapping_q_cache.h>
+#include <deal.II/lac/la_parallel_vector.h>
+#include <deal.II/lac/la_vector.h>
+#include <deal.II/lac/petsc_vector.h>
+#include <deal.II/lac/trilinos_vector.h>
+
#include <functional>
DEAL_II_NAMESPACE_OPEN
{
AssertDimension(transformation_function.n_components, spacedim);
+ this->initialize(mapping,
+ tria,
+ [&](const auto &, const auto &point) {
+ Point<spacedim> new_point;
+ for (int c = 0; c < spacedim; ++c)
+ new_point[c] = transformation_function.value(point, c);
+ return new_point;
+ },
+ function_describes_relative_displacement);
+}
+
+
+
+namespace
+{
+ template <typename VectorType>
+ void
+ copy_locally_owned_data_from(
+ const VectorType &vector,
+ LinearAlgebra::distributed::Vector<typename VectorType::value_type>
+ &vector_ghosted)
+ {
+ LinearAlgebra::ReadWriteVector<typename VectorType::value_type> temp;
+ temp.reinit(vector.locally_owned_elements());
+ temp.import(vector, VectorOperation::insert);
+ vector_ghosted.import(temp, VectorOperation::insert);
+ }
+} // namespace
+
+
+
+template <int dim, int spacedim>
+template <typename VectorType>
+void
+MappingQCache<dim, spacedim>::initialize(
+ const Mapping<dim, spacedim> & mapping,
+ const DoFHandler<dim, spacedim> &dof_handler,
+ const VectorType & vector,
+ const bool vector_describes_relative_displacement)
+{
+ AssertDimension(dof_handler.get_fe_collection().size(), 1);
+ const FiniteElement<dim, spacedim> &fe = dof_handler.get_fe();
+ AssertDimension(fe.n_base_elements(), 1);
+ AssertDimension(fe.element_multiplicity(0), spacedim);
+
+ const unsigned int is_fe_q =
+ dynamic_cast<const FE_Q<dim, spacedim> *>(&fe.base_element(0)) != nullptr;
+ const unsigned int is_fe_dgq =
+ dynamic_cast<const FE_DGQ<dim, spacedim> *>(&fe.base_element(0)) != nullptr;
+
+ const auto lexicographic_to_hierarchic_numbering =
+ Utilities::invert_permutation(
+ FETools::hierarchic_to_lexicographic_numbering<spacedim>(
+ this->get_degree()));
+
+ // Step 1: copy global vector so that the ghost values are such that the
+ // cache can be set up for all ghost cells
+ LinearAlgebra::distributed::Vector<typename VectorType::value_type>
+ vector_ghosted;
+ IndexSet locally_relevant_dofs;
+ DoFTools::extract_locally_relevant_dofs(dof_handler, locally_relevant_dofs);
+ vector_ghosted.reinit(dof_handler.locally_owned_dofs(),
+ locally_relevant_dofs,
+ dof_handler.get_communicator());
+ copy_locally_owned_data_from(vector, vector_ghosted);
+ vector_ghosted.update_ghost_values();
+
+ // FE and FEValues in the case they are needed
+ FE_Nothing<dim, spacedim> fe_nothing;
+ Threads::ThreadLocalStorage<std::unique_ptr<FEValues<dim, spacedim>>>
+ fe_values_all;
+
+ // Interpolation of values is needed if we cannot just read off locations
+ // from the solution vectors (as in the case of FE_Q and FE_DGQ with the
+ // same polynomial degree as this class has).
+ const bool interpolation_of_values_is_needed =
+ ((is_fe_q || is_fe_dgq) && fe.degree == this->get_degree()) == false;
+
+ // Step 2: loop over all cells
this->initialize(
- mapping,
- tria,
- [&](const typename Triangulation<dim, spacedim>::cell_iterator &,
- const Point<spacedim> &point) -> Point<spacedim> {
- Point<spacedim> new_point;
- for (int c = 0; c < spacedim; ++c)
- new_point[c] = transformation_function.value(point, c);
- return new_point;
- },
- function_describes_relative_displacement);
+ dof_handler.get_triangulation(),
+ [&](const typename Triangulation<dim, spacedim>::cell_iterator &cell_tria)
+ -> std::vector<Point<spacedim>> {
+ const bool is_active_non_artificial_cell =
+ (cell_tria->is_active() == true) &&
+ (cell_tria->is_artificial() == false);
+
+ const typename DoFHandler<dim, spacedim>::cell_iterator cell_dofs(
+ &cell_tria->get_triangulation(),
+ cell_tria->level(),
+ cell_tria->index(),
+ &dof_handler);
+
+ const auto mapping_q_generic =
+ dynamic_cast<const MappingQGeneric<dim, spacedim> *>(&mapping);
+
+ // Step 2a) set up and reinit FEValues (if needed)
+ if (
+ ((vector_describes_relative_displacement ||
+ (is_active_non_artificial_cell == false)) &&
+ ((mapping_q_generic != nullptr &&
+ this->get_degree() == mapping_q_generic->get_degree()) ==
+ false)) /*condition 1: points need to be computed via FEValues*/
+ ||
+ (is_active_non_artificial_cell && interpolation_of_values_is_needed) /*condition 2: interpolation of values is needed*/)
+ {
+ // get FEValues (thread-safe); in the case that this thread has
+ // not created a an FEValues object yet, this helper-function also
+ // creates one with the right quadrature rule
+ auto &fe_values = fe_values_all.get();
+ if (fe_values.get() == nullptr)
+ {
+ QGaussLobatto<dim> quadrature_gl(this->polynomial_degree + 1);
+
+ std::vector<Point<dim>> quadrature_points;
+ for (const auto i :
+ FETools::hierarchic_to_lexicographic_numbering<dim>(
+ this->polynomial_degree))
+ quadrature_points.push_back(quadrature_gl.point(i));
+ Quadrature<dim> quadrature(quadrature_points);
+
+ fe_values = std::make_unique<FEValues<dim, spacedim>>(
+ mapping,
+ interpolation_of_values_is_needed ?
+ fe :
+ static_cast<const FiniteElement<dim, spacedim> &>(fe_nothing),
+ quadrature,
+ update_quadrature_points | update_values);
+ }
+
+ if (interpolation_of_values_is_needed)
+ fe_values->reinit(cell_dofs);
+ else
+ fe_values->reinit(cell_tria);
+ }
+
+ std::vector<Point<spacedim>> result;
+
+ // Step 2b) read of quadrature points in the relative displacement case
+ // note: we also take this path for non-active or artifical cells so that
+ // these cells are filled with some useful data
+ if (vector_describes_relative_displacement ||
+ is_active_non_artificial_cell == false)
+ {
+ if (mapping_q_generic != nullptr &&
+ this->get_degree() == mapping_q_generic->get_degree())
+ result =
+ mapping_q_generic->compute_mapping_support_points(cell_tria);
+ else
+ result = fe_values_all.get()->get_quadrature_points();
+
+ // for non-active or artificial cells we are done here and return
+ // the absolute positions, since the provided vector cannot contain
+ // any useful information for these cells
+ if (is_active_non_artificial_cell == false)
+ return result;
+ }
+ else
+ {
+ result.resize(
+ Utilities::pow<unsigned int>(this->get_degree() + 1, dim));
+ }
+
+ // Step 2c) read global vector and adjust points accordingly
+ if (interpolation_of_values_is_needed == false)
+ {
+ // case 1: FE_Q or FE_DGQ with same degree as this class has; this
+ // is the simple case since no interpolation is needed
+ std::vector<types::global_dof_index> dof_indices(
+ fe.n_dofs_per_cell());
+ cell_dofs->get_dof_indices(dof_indices);
+
+ for (unsigned int i = 0; i < dof_indices.size(); ++i)
+ {
+ const auto id = fe.system_to_component_index(i);
+
+ if (is_fe_q)
+ {
+ // case 1a: FE_Q
+ if (vector_describes_relative_displacement)
+ result[id.second][id.first] +=
+ vector_ghosted(dof_indices[i]);
+ else
+ result[id.second][id.first] =
+ vector_ghosted(dof_indices[i]);
+ }
+ else
+ {
+ // case 1b: FE_DGQ
+ if (vector_describes_relative_displacement)
+ result[lexicographic_to_hierarchic_numbering[id.second]]
+ [id.first] += vector_ghosted(dof_indices[i]);
+ else
+ result[lexicographic_to_hierarchic_numbering[id.second]]
+ [id.first] = vector_ghosted(dof_indices[i]);
+ }
+ }
+ }
+ else
+ {
+ // case 2: general case; interpolation is needed
+ // note: the following code could be optimized for tensor-product
+ // elements via application of sum factorization as is done on
+ // MatrixFree/FEEvaluation
+ auto &fe_values = fe_values_all.get();
+
+ std::vector<Vector<typename VectorType::value_type>> values(
+ fe_values->n_quadrature_points,
+ Vector<typename VectorType::value_type>(spacedim));
+
+ fe_values->get_function_values(vector_ghosted, values);
+
+ for (unsigned int q = 0; q < fe_values->n_quadrature_points; ++q)
+ for (unsigned int c = 0; c < spacedim; ++c)
+ if (vector_describes_relative_displacement)
+ result[q][c] += values[q][c];
+ else
+ result[q][c] = values[q][c];
+ }
+
+ return result;
+ });
+}
+
+
+
+template <int dim, int spacedim>
+template <typename VectorType>
+void
+MappingQCache<dim, spacedim>::initialize(
+ const Mapping<dim, spacedim> & mapping,
+ const DoFHandler<dim, spacedim> &dof_handler,
+ const MGLevelObject<VectorType> &vectors,
+ const bool vector_describes_relative_displacement)
+{
+ AssertDimension(dof_handler.get_fe_collection().size(), 1);
+ const FiniteElement<dim, spacedim> &fe = dof_handler.get_fe();
+ AssertDimension(fe.n_base_elements(), 1);
+ AssertDimension(fe.element_multiplicity(0), spacedim);
+ AssertDimension(0, vectors.min_level());
+ AssertDimension(dof_handler.get_triangulation().n_global_levels() - 1,
+ vectors.max_level());
+
+ const unsigned int is_fe_q =
+ dynamic_cast<const FE_Q<dim, spacedim> *>(&fe.base_element(0)) != nullptr;
+ const unsigned int is_fe_dgq =
+ dynamic_cast<const FE_DGQ<dim, spacedim> *>(&fe.base_element(0)) != nullptr;
+
+ const auto lexicographic_to_hierarchic_numbering =
+ Utilities::invert_permutation(
+ FETools::hierarchic_to_lexicographic_numbering<spacedim>(
+ this->get_degree()));
+
+ // Step 1: copy global vector so that the ghost values are such that the
+ // cache can be set up for all ghost cells
+ MGLevelObject<
+ LinearAlgebra::distributed::Vector<typename VectorType::value_type>>
+ vectors_ghosted(vectors.min_level(), vectors.max_level());
+
+ for (unsigned int l = vectors.min_level(); l <= vectors.max_level(); ++l)
+ {
+ IndexSet locally_relevant_dofs;
+ DoFTools::extract_locally_relevant_level_dofs(dof_handler,
+ l,
+ locally_relevant_dofs);
+ vectors_ghosted[l].reinit(dof_handler.locally_owned_mg_dofs(l),
+ locally_relevant_dofs,
+ dof_handler.get_communicator());
+ copy_locally_owned_data_from(vectors[l], vectors_ghosted[l]);
+ vectors_ghosted[l].update_ghost_values();
+ }
+
+ // FE and FEValues in the case they are needed
+ FE_Nothing<dim, spacedim> fe_nothing;
+ Threads::ThreadLocalStorage<std::unique_ptr<FEValues<dim, spacedim>>>
+ fe_values_all;
+
+ // Interpolation of values is needed if we cannot just read off locations
+ // from the solution vectors (as in the case of FE_Q and FE_DGQ with the
+ // same polynomial degree as this class has).
+ const bool interpolation_of_values_is_needed =
+ ((is_fe_q || is_fe_dgq) && fe.degree == this->get_degree()) == false;
+
+ // Step 2: loop over all cells
+ this->initialize(
+ dof_handler.get_triangulation(),
+ [&](const typename Triangulation<dim, spacedim>::cell_iterator &cell_tria)
+ -> std::vector<Point<spacedim>> {
+ const bool is_non_artificial_cell =
+ cell_tria->level_subdomain_id() != numbers::artificial_subdomain_id;
+
+ const typename DoFHandler<dim, spacedim>::level_cell_iterator cell_dofs(
+ &cell_tria->get_triangulation(),
+ cell_tria->level(),
+ cell_tria->index(),
+ &dof_handler);
+
+ const auto mapping_q_generic =
+ dynamic_cast<const MappingQGeneric<dim, spacedim> *>(&mapping);
+
+ // Step 2a) set up and reinit FEValues (if needed)
+ if (
+ ((vector_describes_relative_displacement ||
+ (is_non_artificial_cell == false)) &&
+ ((mapping_q_generic != nullptr &&
+ this->get_degree() == mapping_q_generic->get_degree()) ==
+ false)) /*condition 1: points need to be computed via FEValues*/
+ ||
+ (is_non_artificial_cell == true && interpolation_of_values_is_needed) /*condition 2: interpolation of values is needed*/)
+ {
+ // get FEValues (thread-safe); in the case that this thread has
+ // not created a an FEValues object yet, this helper-function also
+ // creates one with the right quadrature rule
+ auto &fe_values = fe_values_all.get();
+ if (fe_values.get() == nullptr)
+ {
+ QGaussLobatto<dim> quadrature_gl(this->polynomial_degree + 1);
+
+ std::vector<Point<dim>> quadrature_points;
+ for (const auto i :
+ FETools::hierarchic_to_lexicographic_numbering<dim>(
+ this->polynomial_degree))
+ quadrature_points.push_back(quadrature_gl.point(i));
+ Quadrature<dim> quadrature(quadrature_points);
+
+ fe_values = std::make_unique<FEValues<dim, spacedim>>(
+ mapping,
+ interpolation_of_values_is_needed ?
+ fe :
+ static_cast<const FiniteElement<dim, spacedim> &>(fe_nothing),
+ quadrature,
+ update_quadrature_points | update_values);
+ }
+
+ if (interpolation_of_values_is_needed)
+ fe_values->reinit(cell_dofs);
+ else
+ fe_values->reinit(cell_tria);
+ }
+
+ std::vector<Point<spacedim>> result;
+
+ // Step 2b) read of quadrature points in the relative displacement case
+ // note: we also take this path for non-active or artifical cells so that
+ // these cells are filled with some useful data
+ if (vector_describes_relative_displacement ||
+ (is_non_artificial_cell == false))
+ {
+ if (mapping_q_generic != nullptr &&
+ this->get_degree() == mapping_q_generic->get_degree())
+ result =
+ mapping_q_generic->compute_mapping_support_points(cell_tria);
+ else
+ result = fe_values_all.get()->get_quadrature_points();
+
+ // for non-active or artificial cells we are done here and return
+ // the absolute positions, since the provided vector cannot contain
+ // any useful information for these cells
+ if (is_non_artificial_cell == false)
+ return result;
+ }
+ else
+ {
+ result.resize(
+ Utilities::pow<unsigned int>(this->get_degree() + 1, dim));
+ }
+
+ // Step 2c) read global vector and adjust points accordingly
+ if (interpolation_of_values_is_needed == false)
+ {
+ // case 1: FE_Q or FE_DGQ with same degree as this class has; this
+ // is the simple case since no interpolation is needed
+ std::vector<types::global_dof_index> dof_indices(
+ fe.n_dofs_per_cell());
+ cell_dofs->get_mg_dof_indices(dof_indices);
+
+ for (unsigned int i = 0; i < dof_indices.size(); ++i)
+ {
+ const auto id = fe.system_to_component_index(i);
+
+ if (is_fe_q)
+ {
+ // case 1a: FE_Q
+ if (vector_describes_relative_displacement)
+ result[id.second][id.first] +=
+ vectors_ghosted[cell_tria->level()](dof_indices[i]);
+ else
+ result[id.second][id.first] =
+ vectors_ghosted[cell_tria->level()](dof_indices[i]);
+ }
+ else
+ {
+ // case 1b: FE_DGQ
+ if (vector_describes_relative_displacement)
+ result[lexicographic_to_hierarchic_numbering[id.second]]
+ [id.first] +=
+ vectors_ghosted[cell_tria->level()](dof_indices[i]);
+ else
+ result[lexicographic_to_hierarchic_numbering[id.second]]
+ [id.first] =
+ vectors_ghosted[cell_tria->level()](dof_indices[i]);
+ }
+ }
+ }
+ else
+ {
+ // case 2: general case; interpolation is needed
+ // note: the following code could be optimized for tensor-product
+ // elements via application of sum factorization as is done on
+ // MatrixFree/FEEvaluation
+ auto &fe_values = fe_values_all.get();
+
+ std::vector<types::global_dof_index> dof_indices(
+ fe.n_dofs_per_cell());
+ cell_dofs->get_mg_dof_indices(dof_indices);
+
+ std::vector<typename VectorType::value_type> dof_values(
+ fe.n_dofs_per_cell());
+
+ for (unsigned int i = 0; i < fe.n_dofs_per_cell(); ++i)
+ dof_values[i] = vectors_ghosted[cell_tria->level()](dof_indices[i]);
+
+ for (unsigned int c = 0; c < spacedim; ++c)
+ for (unsigned int i = 0; i < fe.n_dofs_per_cell(); ++i)
+ for (unsigned int q = 0; q < fe_values->n_quadrature_points; ++q)
+ if (vector_describes_relative_displacement == false && i == 0)
+ result[q][c] =
+ dof_values[i] * fe_values->shape_value_component(i, q, c);
+ else
+ result[q][c] +=
+ dof_values[i] * fe_values->shape_value_component(i, q, c);
+ }
+
+ return result;
+ });
}
template class MappingQCache<deal_II_dimension, deal_II_space_dimension>;
#endif
}
+
+for (deal_II_vec : REAL_NONBLOCK_VECTORS; deal_II_dimension : DIMENSIONS;
+ deal_II_space_dimension : SPACE_DIMENSIONS)
+ {
+#if deal_II_dimension <= deal_II_space_dimension
+ template void
+ MappingQCache<deal_II_dimension, deal_II_space_dimension>::initialize(
+ const Mapping<deal_II_dimension, deal_II_space_dimension> & mapping,
+ const DoFHandler<deal_II_dimension, deal_II_space_dimension> &dof_handler,
+ const deal_II_vec & vector,
+ const bool vector_describes_relative_displacement);
+
+ template void
+ MappingQCache<deal_II_dimension, deal_II_space_dimension>::initialize(
+ const Mapping<deal_II_dimension, deal_II_space_dimension> & mapping,
+ const DoFHandler<deal_II_dimension, deal_II_space_dimension> &dof_handler,
+ const MGLevelObject<deal_II_vec> & vector,
+ const bool vector_describes_relative_displacement);
+#endif
+ }
--- /dev/null
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2019 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 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 directory of deal.II.
+//
+// ---------------------------------------------------------------------
+
+// Test MappingQCache initialization with point lambda/Function
+
+#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_q_cache.h>
+#include <deal.II/fe/mapping_q_generic.h>
+
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/grid/tria.h>
+
+#include <deal.II/multigrid/mg_transfer_matrix_free.h>
+
+#include <deal.II/numerics/data_out.h>
+#include <deal.II/numerics/vector_tools.h>
+
+#include "../tests.h"
+
+template <int dim>
+class Solution : public Function<dim>
+{
+public:
+ Solution(const bool is_displacement_function)
+ : Function<dim>(dim)
+ , is_displacement_function(is_displacement_function)
+ {}
+
+ double
+ value(const Point<dim> &point, const unsigned int compontent) const
+ {
+ return std::sin(point[compontent] * 0.5 * numbers::PI) -
+ (is_displacement_function ? point[compontent] : 0.0);
+ }
+
+private:
+ const bool is_displacement_function;
+};
+
+static int counter = 0;
+
+template <int dim, typename Fu>
+void
+do_test(const unsigned int degree,
+ const unsigned int mapping_degree,
+ const Fu & fu,
+ const bool is_displacement_function)
+{
+ parallel::distributed::Triangulation<dim> tria(
+ MPI_COMM_WORLD,
+ Triangulation<dim>::MeshSmoothing::none,
+ parallel::distributed::Triangulation<
+ dim>::Settings::construct_multigrid_hierarchy);
+ GridGenerator::subdivided_hyper_cube(tria, 4);
+ tria.refine_global(1);
+
+ FESystem<dim> fe(FE_Q<dim>(degree), dim);
+ DoFHandler<dim> dof_handler(tria);
+ dof_handler.distribute_dofs(fe);
+ dof_handler.distribute_mg_dofs();
+
+ IndexSet locally_relevant_dofs;
+ DoFTools::extract_locally_relevant_dofs(dof_handler, locally_relevant_dofs);
+ LinearAlgebra::distributed::Vector<double> vector(
+ dof_handler.locally_owned_dofs(),
+ locally_relevant_dofs,
+ dof_handler.get_communicator());
+
+ VectorTools::interpolate(dof_handler, fu, vector);
+
+ {
+ MappingQGeneric<dim> mapping(mapping_degree);
+ MappingQCache<dim> mapping_cache(mapping_degree);
+ mapping_cache.initialize(mapping,
+ dof_handler,
+ vector,
+ is_displacement_function);
+
+ DataOut<dim> data_out;
+
+ DataOutBase::VtkFlags flags;
+ flags.write_higher_order_cells = true;
+ data_out.set_flags(flags);
+
+ data_out.attach_triangulation(tria);
+
+ data_out.build_patches(mapping_cache,
+ 2,
+ DataOut<dim>::CurvedCellRegion::curved_inner_cells);
+
+#if false
+ std::ofstream output("test." + std::to_string(counter++) + "." + std::to_string(Utilities::MPI::this_mpi_process (MPI_COMM_WORLD)) + ".vtk");
+ data_out.write_vtk(output);
+#else
+ data_out.write_vtk(deallog.get_file_stream());
+#endif
+ }
+
+ {
+ MGLevelObject<LinearAlgebra::distributed::Vector<double>> vectors(
+ 0, tria.n_global_levels() - 1);
+ MGTransferMatrixFree<dim, double> transfer;
+ transfer.build(dof_handler);
+ transfer.interpolate_to_mg(dof_handler, vectors, vector);
+
+ MappingQGeneric<dim> mapping(mapping_degree);
+ MappingQCache<dim> mapping_cache(mapping_degree);
+ mapping_cache.initialize(mapping,
+ dof_handler,
+ vectors,
+ is_displacement_function);
+
+ const unsigned int rank = Utilities::MPI::this_mpi_process(MPI_COMM_WORLD);
+
+ for (unsigned int lvl = 0; lvl < tria.n_global_levels(); ++lvl)
+ {
+ DataOut<dim> data_out;
+
+ DataOutBase::VtkFlags flags;
+ flags.write_higher_order_cells = true;
+ data_out.set_flags(flags);
+
+ data_out.attach_triangulation(tria);
+
+ data_out.set_cell_selection(
+ [&](const typename Triangulation<dim>::cell_iterator &cell) {
+ return (cell->level_subdomain_id() == rank) &&
+ (static_cast<unsigned int>(cell->level()) == lvl);
+ });
+ data_out.build_patches(mapping_cache,
+ 2,
+ DataOut<dim>::curved_inner_cells);
+
+#if true
+ data_out.write_vtu_with_pvtu_record(
+ "./", "mg_solution", lvl, MPI_COMM_WORLD, 1, 1);
+#else
+ data_out.write_vtk(deallog.get_file_stream());
+#endif
+ }
+ }
+}
+
+
+int
+main(int argc, char *argv[])
+{
+ Utilities::MPI::MPI_InitFinalize mpi_initialization(argc, argv, 1);
+ MPILogInitAll log;
+
+ do_test<2>(3, 3, Solution<2>(true), true);
+ do_test<2>(3, 3, Solution<2>(false), false);
+
+ do_test<2>(3, 4, Solution<2>(true), true);
+ do_test<2>(3, 4, Solution<2>(false), false);
+}
--- /dev/null
+
+# vtk DataFile Version 3.0
+#This file was generated
+ASCII
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--- /dev/null
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2019 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 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 directory of deal.II.
+//
+// ---------------------------------------------------------------------
+
+// Test VectorTools::get_position_vector() with Mapping as argument.
+
+#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_cache.h>
+#include <deal.II/fe/mapping_q_generic.h>
+
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/grid/tria.h>
+
+#include <deal.II/numerics/data_out.h>
+#include <deal.II/numerics/vector_tools.h>
+
+#include "../tests.h"
+
+template <int dim>
+void
+test(const bool vector_describes_relative_displacement,
+ const unsigned int fe_degree,
+ const unsigned int fe_degree_mapping)
+{
+ // surface mesh
+ const unsigned int spacedim = dim + 1;
+ const unsigned int n_refinements = 1;
+
+ Triangulation<dim, spacedim> tria;
+ GridGenerator::hyper_sphere(tria, Point<spacedim>(), 0.5);
+ tria.refine_global(n_refinements);
+
+ FE_Q<dim, spacedim> fe(fe_degree);
+ DoFHandler<dim, spacedim> dof_handler(tria);
+ dof_handler.distribute_dofs(fe);
+
+ FESystem<dim, spacedim> fe_dim(fe, spacedim);
+ DoFHandler<dim, spacedim> dof_handler_dim(tria);
+ dof_handler_dim.distribute_dofs(fe_dim);
+
+ // set up base high-order mapping
+ Vector<double> euler_vector_base(dof_handler_dim.n_dofs());
+ VectorTools::get_position_vector(dof_handler_dim, euler_vector_base);
+ MappingFEField<dim, spacedim> mapping_base(dof_handler_dim,
+ euler_vector_base);
+
+ // clear manifold
+ tria.reset_all_manifolds();
+
+ auto euler_vector = euler_vector_base;
+
+ if (vector_describes_relative_displacement)
+ {
+ Vector<double> absolut_vector(dof_handler_dim.n_dofs());
+ VectorTools::get_position_vector(dof_handler_dim, absolut_vector);
+
+ euler_vector -= absolut_vector;
+ }
+
+ // output mesh with with MappingFEField based on a vector constructed
+ // with the triangulation without manifolds and the high-order base mapping
+ {
+ MappingQCache<dim, spacedim> mapping(fe_degree_mapping);
+ mapping.initialize(MappingQ1<dim, spacedim>(),
+ dof_handler_dim,
+ euler_vector,
+ vector_describes_relative_displacement);
+ DataOutBase::VtkFlags flags;
+
+ DataOut<dim, DoFHandler<dim, spacedim>> data_out;
+ data_out.set_flags(flags);
+ data_out.attach_dof_handler(dof_handler);
+
+ data_out.build_patches(
+ mapping,
+ fe_degree + 1,
+ DataOut<dim,
+ DoFHandler<dim, spacedim>>::CurvedCellRegion::curved_inner_cells);
+
+ static unsigned int counter = 0;
+
+#if false
+ std::ofstream output("test." + std::to_string(counter++) + ".vtk");
+ data_out.write_vtk(output);
+#else
+ data_out.write_vtk(deallog.get_file_stream());
+#endif
+ }
+}
+
+
+
+int
+main(int argc, char **argv)
+{
+ initlog();
+
+ test<1>(false, 4, 4);
+ test<1>(true, 4, 4);
+
+ test<1>(false, 4, 5);
+ test<1>(true, 4, 5);
+}
--- /dev/null
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projects / dealii.git / commitdiff