From fe077cedee8aebffe3f98f501ea88fd3fb724d7f Mon Sep 17 00:00:00 2001
From: labourasse <labourassee@gmail.com>
Date: Mon, 21 Dec 2020 08:41:50 +0100
Subject: [PATCH] Begining of the code for unsteady heat
---
src/language/algorithms/CMakeLists.txt | 2 +
src/language/algorithms/ParabolicHeat.cpp | 455 +++++++++++++
src/language/algorithms/ParabolicHeat.hpp | 31 +
src/language/modules/SchemeModule.cpp | 70 ++
src/scheme/ScalarDiamondScheme.hpp | 754 ++++++++++++++++++++++
5 files changed, 1312 insertions(+)
create mode 100644 src/language/algorithms/ParabolicHeat.cpp
create mode 100644 src/language/algorithms/ParabolicHeat.hpp
create mode 100644 src/scheme/ScalarDiamondScheme.hpp
diff --git a/src/language/algorithms/CMakeLists.txt b/src/language/algorithms/CMakeLists.txt
index 087b6828b..c1089d014 100644
--- a/src/language/algorithms/CMakeLists.txt
+++ b/src/language/algorithms/CMakeLists.txt
@@ -5,6 +5,8 @@ add_library(PugsLanguageAlgorithms
ElasticityDiamondAlgorithm.cpp
Heat5PointsAlgorithm.cpp
HeatDiamondAlgorithm.cpp
+ HeatDiamondAlgorithm2.cpp
+ ParabolicHeat.cpp
)
diff --git a/src/language/algorithms/ParabolicHeat.cpp b/src/language/algorithms/ParabolicHeat.cpp
new file mode 100644
index 000000000..a3813dd47
--- /dev/null
+++ b/src/language/algorithms/ParabolicHeat.cpp
@@ -0,0 +1,455 @@
+#include <algebra/CRSMatrix.hpp>
+#include <algebra/LeastSquareSolver.hpp>
+#include <algebra/LinearSolver.hpp>
+#include <algebra/LocalRectangularMatrix.hpp>
+#include <algebra/SparseMatrixDescriptor.hpp>
+#include <algebra/TinyVector.hpp>
+#include <algebra/Vector.hpp>
+#include <language/algorithms/ParabolicHeat.hpp>
+#include <language/utils/InterpolateItemValue.hpp>
+#include <mesh/Connectivity.hpp>
+#include <mesh/ConnectivityToDiamondDualConnectivityDataMapper.hpp>
+#include <mesh/DiamondDualConnectivityManager.hpp>
+#include <mesh/DiamondDualMeshManager.hpp>
+#include <mesh/Mesh.hpp>
+#include <mesh/MeshData.hpp>
+#include <mesh/MeshDataManager.hpp>
+#include <mesh/MeshNodeBoundary.hpp>
+#include <mesh/SubItemValuePerItem.hpp>
+#include <output/VTKWriter.hpp>
+#include <scheme/DirichletBoundaryConditionDescriptor.hpp>
+#include <scheme/FourierBoundaryConditionDescriptor.hpp>
+#include <scheme/NeumannBoundaryConditionDescriptor.hpp>
+#include <scheme/ScalarDiamondScheme.hpp>
+#include <scheme/SymmetryBoundaryConditionDescriptor.hpp>
+#include <utils/Timer.hpp>
+
+template <size_t Dimension>
+ParabolicHeatScheme<Dimension>::ParabolicHeatScheme(
+ std::shared_ptr<const IMesh> i_mesh,
+ const std::vector<std::shared_ptr<const IBoundaryConditionDescriptor>>& bc_descriptor_list,
+ const FunctionSymbolId& T_id,
+ const FunctionSymbolId& kappa_id,
+ const FunctionSymbolId& f_id,
+ const double& final_time,
+ const double& dt)
+{
+ using ConnectivityType = Connectivity<Dimension>;
+ using MeshType = Mesh<ConnectivityType>;
+ using MeshDataType = MeshData<Dimension>;
+
+ constexpr ItemType FaceType = [] {
+ if constexpr (Dimension > 1) {
+ return ItemType::face;
+ } else {
+ return ItemType::node;
+ }
+ }();
+ // HERE build CLs, time loop, main outputs
+ using BoundaryCondition = std::variant<DirichletBoundaryCondition, FourierBoundaryCondition, NeumannBoundaryCondition,
+ SymmetryBoundaryCondition>;
+
+ using BoundaryConditionList = std::vector<BoundaryCondition>;
+
+ BoundaryConditionList boundary_condition_list;
+
+ std::cout << "number of bc descr = " << bc_descriptor_list.size() << '\n';
+ std::shared_ptr mesh = std::dynamic_pointer_cast<const MeshType>(i_mesh);
+
+ for (const auto& bc_descriptor : bc_descriptor_list) {
+ bool is_valid_boundary_condition = true;
+
+ switch (bc_descriptor->type()) {
+ case IBoundaryConditionDescriptor::Type::symmetry: {
+ throw NotImplementedError("NIY");
+ break;
+ }
+ case IBoundaryConditionDescriptor::Type::dirichlet: {
+ const DirichletBoundaryConditionDescriptor& dirichlet_bc_descriptor =
+ dynamic_cast<const DirichletBoundaryConditionDescriptor&>(*bc_descriptor);
+ if constexpr (Dimension > 1) {
+ for (size_t i_ref_face_list = 0;
+ i_ref_face_list < mesh->connectivity().template numberOfRefItemList<FaceType>(); ++i_ref_face_list) {
+ const auto& ref_face_list = mesh->connectivity().template refItemList<FaceType>(i_ref_face_list);
+ const RefId& ref = ref_face_list.refId();
+ if (ref == dirichlet_bc_descriptor.boundaryDescriptor()) {
+ MeshNodeBoundary<Dimension> mesh_node_boundary{mesh, ref_face_list};
+
+ const FunctionSymbolId g_id = dirichlet_bc_descriptor.rhsSymbolId();
+ MeshDataType& mesh_data = MeshDataManager::instance().getMeshData(*mesh);
+
+ Array<const FaceId> face_list = ref_face_list.list();
+ Array<const double> value_list =
+ InterpolateItemValue<double(TinyVector<Dimension>)>::template interpolate<ItemType::face>(g_id,
+ mesh_data.xl(),
+ face_list);
+ boundary_condition_list.push_back(DirichletBoundaryCondition{face_list, value_list});
+ }
+ }
+ }
+ break;
+ }
+ case IBoundaryConditionDescriptor::Type::fourier: {
+ throw NotImplementedError("NIY");
+ break;
+ }
+ case IBoundaryConditionDescriptor::Type::neumann: {
+ const NeumannBoundaryConditionDescriptor& neumann_bc_descriptor =
+ dynamic_cast<const NeumannBoundaryConditionDescriptor&>(*bc_descriptor);
+
+ for (size_t i_ref_face_list = 0; i_ref_face_list < mesh->connectivity().template numberOfRefItemList<FaceType>();
+ ++i_ref_face_list) {
+ const auto& ref_face_list = mesh->connectivity().template refItemList<FaceType>(i_ref_face_list);
+ const RefId& ref = ref_face_list.refId();
+ if (ref == neumann_bc_descriptor.boundaryDescriptor()) {
+ const FunctionSymbolId g_id = neumann_bc_descriptor.rhsSymbolId();
+
+ if constexpr (Dimension > 1) {
+ MeshDataType& mesh_data = MeshDataManager::instance().getMeshData(*mesh);
+
+ Array<const FaceId> face_list = ref_face_list.list();
+ Array<const double> value_list =
+ InterpolateItemValue<double(TinyVector<Dimension>)>::template interpolate<ItemType::face>(g_id,
+ mesh_data.xl(),
+ face_list);
+ boundary_condition_list.push_back(NeumannBoundaryCondition{face_list, value_list});
+ }
+ }
+ }
+ break;
+ }
+ default: {
+ is_valid_boundary_condition = false;
+ }
+ }
+ if (not is_valid_boundary_condition) {
+ std::ostringstream error_msg;
+ error_msg << *bc_descriptor << " is an invalid boundary condition for heat equation";
+ throw NormalError(error_msg.str());
+ }
+ }
+
+ if constexpr (Dimension > 1) {
+ const CellValue<const size_t> cell_dof_number = [&] {
+ CellValue<size_t> compute_cell_dof_number{mesh->connectivity()};
+ parallel_for(
+ mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) { compute_cell_dof_number[cell_id] = cell_id; });
+ return compute_cell_dof_number;
+ }();
+ size_t number_of_dof = mesh->numberOfCells();
+
+ const FaceValue<const size_t> face_dof_number = [&] {
+ FaceValue<size_t> compute_face_dof_number{mesh->connectivity()};
+ compute_face_dof_number.fill(std::numeric_limits<size_t>::max());
+ for (const auto& boundary_condition : boundary_condition_list) {
+ std::visit(
+ [&](auto&& bc) {
+ using T = std::decay_t<decltype(bc)>;
+ if constexpr ((std::is_same_v<T, NeumannBoundaryCondition>) or
+ (std::is_same_v<T, FourierBoundaryCondition>) or
+ (std::is_same_v<T, SymmetryBoundaryCondition>) or
+ (std::is_same_v<T, DirichletBoundaryCondition>)) {
+ const auto& face_list = bc.faceList();
+
+ for (size_t i_face = 0; i_face < face_list.size(); ++i_face) {
+ const FaceId face_id = face_list[i_face];
+ if (compute_face_dof_number[face_id] != std::numeric_limits<size_t>::max()) {
+ std::ostringstream os;
+ os << "The face " << face_id << " is used at least twice for boundary conditions";
+ throw NormalError(os.str());
+ } else {
+ compute_face_dof_number[face_id] = number_of_dof++;
+ }
+ }
+ }
+ },
+ boundary_condition);
+ }
+
+ return compute_face_dof_number;
+ }();
+
+ const FaceValue<const bool> primal_face_is_neumann = [&] {
+ FaceValue<bool> face_is_neumann{mesh->connectivity()};
+ face_is_neumann.fill(false);
+ for (const auto& boundary_condition : boundary_condition_list) {
+ std::visit(
+ [&](auto&& bc) {
+ using T = std::decay_t<decltype(bc)>;
+ if constexpr ((std::is_same_v<T, NeumannBoundaryCondition>) or
+ (std::is_same_v<T, FourierBoundaryCondition>) or
+ (std::is_same_v<T, SymmetryBoundaryCondition>)) {
+ const auto& face_list = bc.faceList();
+
+ for (size_t i_face = 0; i_face < face_list.size(); ++i_face) {
+ const FaceId face_id = face_list[i_face];
+ face_is_neumann[face_id] = true;
+ }
+ }
+ },
+ boundary_condition);
+ }
+
+ return face_is_neumann;
+ }();
+
+ const auto& primal_face_to_node_matrix = mesh->connectivity().faceToNodeMatrix();
+ const auto& face_to_cell_matrix = mesh->connectivity().faceToCellMatrix();
+ NodeValue<bool> primal_node_is_on_boundary(mesh->connectivity());
+ if (parallel::size() > 1) {
+ throw NotImplementedError("Calculation of node_is_on_boundary is incorrect");
+ }
+
+ primal_node_is_on_boundary.fill(false);
+ for (FaceId face_id = 0; face_id < mesh->numberOfFaces(); ++face_id) {
+ if (face_to_cell_matrix[face_id].size() == 1) {
+ for (size_t i_node = 0; i_node < primal_face_to_node_matrix[face_id].size(); ++i_node) {
+ NodeId node_id = primal_face_to_node_matrix[face_id][i_node];
+ primal_node_is_on_boundary[node_id] = true;
+ }
+ }
+ }
+
+ FaceValue<bool> primal_face_is_on_boundary(mesh->connectivity());
+ if (parallel::size() > 1) {
+ throw NotImplementedError("Calculation of face_is_on_boundary is incorrect");
+ }
+
+ primal_face_is_on_boundary.fill(false);
+ for (FaceId face_id = 0; face_id < mesh->numberOfFaces(); ++face_id) {
+ if (face_to_cell_matrix[face_id].size() == 1) {
+ primal_face_is_on_boundary[face_id] = true;
+ }
+ }
+
+ FaceValue<bool> primal_face_is_dirichlet(mesh->connectivity());
+ if (parallel::size() > 1) {
+ throw NotImplementedError("Calculation of face_is_neumann is incorrect");
+ }
+
+ primal_face_is_dirichlet.fill(false);
+ for (FaceId face_id = 0; face_id < mesh->numberOfFaces(); ++face_id) {
+ primal_face_is_dirichlet[face_id] = (primal_face_is_on_boundary[face_id] && (!primal_face_is_neumann[face_id]));
+ }
+ MeshDataType& mesh_data = MeshDataManager::instance().getMeshData(*mesh);
+
+ CellValue<double> Tj =
+ InterpolateItemValue<double(TinyVector<Dimension>)>::template interpolate<ItemType::cell>(T_id, mesh_data.xj());
+ CellValue<double> Temperature{mesh->connectivity()};
+ Temperature.fill(1);
+ FaceValue<double> Tl =
+ InterpolateItemValue<double(TinyVector<Dimension>)>::template interpolate<ItemType::face>(T_id, mesh_data.xl());
+ FaceValue<double> Temperature_face =
+ InterpolateItemValue<double(TinyVector<Dimension>)>::template interpolate<ItemType::face>(T_id, mesh_data.xl());
+ NodeValue<double> Tr(mesh->connectivity());
+ {
+ VTKWriter vtk_writer("T_" + std::to_string(Dimension), 0.01);
+
+ vtk_writer.write(mesh,
+ {NamedItemValue{"Tr", Tr}, NamedItemValue{"temperature", Tj},
+ NamedItemValue{"coords", mesh->xr()}, NamedItemValue{"xj", mesh_data.xj()},
+ NamedItemValue{"cell_owner", mesh->connectivity().cellOwner()},
+ NamedItemValue{"node_owner", mesh->connectivity().nodeOwner()}},
+ 0, true); // forces last output
+ }
+ ScalarDiamondScheme<Dimension>(i_mesh, bc_descriptor_list, kappa_id, f_id, Temperature, Temperature_face);
+ {
+ Vector<double> error{mesh->numberOfCells()};
+ CellValue<double> cell_error{mesh->connectivity()};
+ Vector<double> face_error{mesh->numberOfFaces()};
+ double error_max = 0.;
+ size_t cell_max = 0;
+ const CellValue<const double> primal_Vj = mesh_data.Vj();
+ const FaceValue<const double> mes_l = [&] {
+ if constexpr (Dimension == 1) {
+ FaceValue<double> compute_mes_l{mesh->connectivity()};
+ compute_mes_l.fill(1);
+ return compute_mes_l;
+ } else {
+ return mesh_data.ll();
+ }
+ }();
+
+ parallel_for(
+ mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
+ error[cell_id] = (Temperature[cell_id] - Tj[cell_id]) * sqrt(primal_Vj[cell_id]);
+ cell_error[cell_id] = (Temperature[cell_id] - Tj[cell_id]);
+ });
+ parallel_for(
+ mesh->numberOfFaces(), PUGS_LAMBDA(FaceId face_id) {
+ if (primal_face_is_on_boundary[face_id]) {
+ face_error[face_id] = (Temperature_face[face_id] - Tl[face_id]) * sqrt(mes_l[face_id]);
+ } else {
+ face_error[face_id] = 0;
+ }
+ });
+ for (CellId cell_id = 0; cell_id < mesh->numberOfCells(); cell_id++) {
+ if (error_max < std::abs(cell_error[cell_id])) {
+ error_max = std::abs(cell_error[cell_id]);
+ cell_max = cell_id;
+ }
+ }
+
+ std::cout << " ||Error||_max (cell)= " << error_max << " on cell " << cell_max << "\n";
+ std::cout << "||Error||_2 (cell)= " << std::sqrt((error, error)) << "\n";
+ std::cout << "||Error||_2 (face)= " << std::sqrt((face_error, face_error)) << "\n";
+ std::cout << "||Error||_2 (total)= " << std::sqrt((error, error)) + std::sqrt((face_error, face_error)) << "\n";
+
+ {
+ VTKWriter vtk_writer("Temperature_" + std::to_string(Dimension), 0.01);
+
+ vtk_writer.write(mesh,
+ {NamedItemValue{"T", Temperature}, NamedItemValue{"Vj", primal_Vj},
+ NamedItemValue{"Texact", Tj}, NamedItemValue{"error", cell_error}},
+ 0,
+ true); // forces last output
+ }
+ }
+ } else {
+ throw NotImplementedError("not done in 1d");
+ }
+}
+
+template <size_t Dimension>
+class ParabolicHeatScheme<Dimension>::DirichletBoundaryCondition
+{
+ private:
+ const Array<const double> m_value_list;
+ const Array<const FaceId> m_face_list;
+
+ public:
+ const Array<const FaceId>&
+ faceList() const
+ {
+ return m_face_list;
+ }
+
+ const Array<const double>&
+ valueList() const
+ {
+ return m_value_list;
+ }
+
+ DirichletBoundaryCondition(const Array<const FaceId>& face_list, const Array<const double>& value_list)
+ : m_value_list{value_list}, m_face_list{face_list}
+ {
+ Assert(m_value_list.size() == m_face_list.size());
+ }
+
+ ~DirichletBoundaryCondition() = default;
+};
+
+template <size_t Dimension>
+class ParabolicHeatScheme<Dimension>::NeumannBoundaryCondition
+{
+ private:
+ const Array<const double> m_value_list;
+ const Array<const FaceId> m_face_list;
+
+ public:
+ const Array<const FaceId>&
+ faceList() const
+ {
+ return m_face_list;
+ }
+
+ const Array<const double>&
+ valueList() const
+ {
+ return m_value_list;
+ }
+
+ NeumannBoundaryCondition(const Array<const FaceId>& face_list, const Array<const double>& value_list)
+ : m_value_list{value_list}, m_face_list{face_list}
+ {
+ Assert(m_value_list.size() == m_face_list.size());
+ }
+
+ ~NeumannBoundaryCondition() = default;
+};
+
+template <size_t Dimension>
+class ParabolicHeatScheme<Dimension>::FourierBoundaryCondition
+{
+ private:
+ const Array<const double> m_coef_list;
+ const Array<const double> m_value_list;
+ const Array<const FaceId> m_face_list;
+
+ public:
+ const Array<const FaceId>&
+ faceList() const
+ {
+ return m_face_list;
+ }
+
+ const Array<const double>&
+ valueList() const
+ {
+ return m_value_list;
+ }
+
+ const Array<const double>&
+ coefList() const
+ {
+ return m_coef_list;
+ }
+
+ public:
+ FourierBoundaryCondition(const Array<const FaceId>& face_list,
+ const Array<const double>& coef_list,
+ const Array<const double>& value_list)
+ : m_coef_list{coef_list}, m_value_list{value_list}, m_face_list{face_list}
+ {
+ Assert(m_coef_list.size() == m_face_list.size());
+ Assert(m_value_list.size() == m_face_list.size());
+ }
+
+ ~FourierBoundaryCondition() = default;
+};
+
+template <size_t Dimension>
+class ParabolicHeatScheme<Dimension>::SymmetryBoundaryCondition
+{
+ private:
+ const Array<const FaceId> m_face_list;
+
+ public:
+ const Array<const FaceId>&
+ faceList() const
+ {
+ return m_face_list;
+ }
+
+ public:
+ SymmetryBoundaryCondition(const Array<const FaceId>& face_list) : m_face_list{face_list} {}
+
+ ~SymmetryBoundaryCondition() = default;
+};
+
+template ParabolicHeatScheme<1>::ParabolicHeatScheme(
+ std::shared_ptr<const IMesh>,
+ const std::vector<std::shared_ptr<const IBoundaryConditionDescriptor>>&,
+ const FunctionSymbolId&,
+ const FunctionSymbolId&,
+ const FunctionSymbolId&,
+ const double&,
+ const double&);
+
+template ParabolicHeatScheme<2>::ParabolicHeatScheme(
+ std::shared_ptr<const IMesh>,
+ const std::vector<std::shared_ptr<const IBoundaryConditionDescriptor>>&,
+ const FunctionSymbolId&,
+ const FunctionSymbolId&,
+ const FunctionSymbolId&,
+ const double&,
+ const double&);
+
+template ParabolicHeatScheme<3>::ParabolicHeatScheme(
+ std::shared_ptr<const IMesh>,
+ const std::vector<std::shared_ptr<const IBoundaryConditionDescriptor>>&,
+ const FunctionSymbolId&,
+ const FunctionSymbolId&,
+ const FunctionSymbolId&,
+ const double&,
+ const double&);
diff --git a/src/language/algorithms/ParabolicHeat.hpp b/src/language/algorithms/ParabolicHeat.hpp
new file mode 100644
index 000000000..92df71a53
--- /dev/null
+++ b/src/language/algorithms/ParabolicHeat.hpp
@@ -0,0 +1,31 @@
+#ifndef PARABOLIC_HEAT_HPP
+#define PARABOLIC_HEAT_HPP
+
+#include <language/utils/FunctionSymbolId.hpp>
+#include <mesh/IMesh.hpp>
+#include <scheme/IBoundaryConditionDescriptor.hpp>
+
+#include <memory>
+#include <variant>
+#include <vector>
+
+template <size_t Dimension>
+class ParabolicHeatScheme
+{
+ private:
+ class DirichletBoundaryCondition;
+ class FourierBoundaryCondition;
+ class NeumannBoundaryCondition;
+ class SymmetryBoundaryCondition;
+
+ public:
+ ParabolicHeatScheme(std::shared_ptr<const IMesh> i_mesh,
+ const std::vector<std::shared_ptr<const IBoundaryConditionDescriptor>>& bc_descriptor_list,
+ const FunctionSymbolId& T_id,
+ const FunctionSymbolId& kappa_id,
+ const FunctionSymbolId& f_id,
+ const double& final_time,
+ const double& dt);
+};
+
+#endif // HEAT_DIAMOND_ALGORITHM_HPP
diff --git a/src/language/modules/SchemeModule.cpp b/src/language/modules/SchemeModule.cpp
index 61c90914a..ef8474bf3 100644
--- a/src/language/modules/SchemeModule.cpp
+++ b/src/language/modules/SchemeModule.cpp
@@ -4,6 +4,8 @@
#include <language/algorithms/ElasticityDiamondAlgorithm.hpp>
#include <language/algorithms/Heat5PointsAlgorithm.hpp>
#include <language/algorithms/HeatDiamondAlgorithm.hpp>
+#include <language/algorithms/HeatDiamondAlgorithm2.hpp>
+#include <language/algorithms/ParabolicHeat.hpp>
#include <language/utils/BuiltinFunctionEmbedder.hpp>
#include <language/utils/TypeDescriptor.hpp>
#include <mesh/Mesh.hpp>
@@ -260,6 +262,74 @@ SchemeModule::SchemeModule()
));
+ this->_addBuiltinFunction("parabolicheat",
+ std::make_shared<BuiltinFunctionEmbedder<
+ void(std::shared_ptr<const IMesh>,
+ const std::vector<std::shared_ptr<const IBoundaryConditionDescriptor>>&,
+ const FunctionSymbolId&, const FunctionSymbolId&, const FunctionSymbolId&,
+ const double&, const double&)>>(
+
+ [](std::shared_ptr<const IMesh> p_mesh,
+ const std::vector<std::shared_ptr<const IBoundaryConditionDescriptor>>&
+ bc_descriptor_list,
+ const FunctionSymbolId& T_id, const FunctionSymbolId& kappa_id,
+ const FunctionSymbolId& f_id, const double& final_time, const double& dt) -> void {
+ switch (p_mesh->dimension()) {
+ case 1: {
+ ParabolicHeatScheme<1>{p_mesh, bc_descriptor_list, T_id, kappa_id,
+ f_id, final_time, dt};
+ break;
+ }
+ case 2: {
+ ParabolicHeatScheme<2>{p_mesh, bc_descriptor_list, T_id, kappa_id,
+ f_id, final_time, dt};
+ break;
+ }
+ case 3: {
+ ParabolicHeatScheme<3>{p_mesh, bc_descriptor_list, T_id, kappa_id,
+ f_id, final_time, dt};
+ break;
+ }
+ default: {
+ throw UnexpectedError("invalid mesh dimension");
+ }
+ }
+ }
+
+ ));
+
+ this->_addBuiltinFunction("heat2",
+ std::make_shared<BuiltinFunctionEmbedder<
+ void(std::shared_ptr<const IMesh>,
+ const std::vector<std::shared_ptr<const IBoundaryConditionDescriptor>>&,
+ const FunctionSymbolId&, const FunctionSymbolId&, const FunctionSymbolId&)>>(
+
+ [](std::shared_ptr<const IMesh> p_mesh,
+ const std::vector<std::shared_ptr<const IBoundaryConditionDescriptor>>&
+ bc_descriptor_list,
+ const FunctionSymbolId& T_id, const FunctionSymbolId& kappa_id,
+ const FunctionSymbolId& f_id) -> void {
+ switch (p_mesh->dimension()) {
+ case 1: {
+ HeatDiamondScheme2<1>{p_mesh, bc_descriptor_list, T_id, kappa_id, f_id};
+ break;
+ }
+ case 2: {
+ HeatDiamondScheme2<2>{p_mesh, bc_descriptor_list, T_id, kappa_id, f_id};
+ break;
+ }
+ case 3: {
+ HeatDiamondScheme2<3>{p_mesh, bc_descriptor_list, T_id, kappa_id, f_id};
+ break;
+ }
+ default: {
+ throw UnexpectedError("invalid mesh dimension");
+ }
+ }
+ }
+
+ ));
+
this->_addBuiltinFunction("elasticity",
std::make_shared<BuiltinFunctionEmbedder<
void(std::shared_ptr<const IMesh>,
diff --git a/src/scheme/ScalarDiamondScheme.hpp b/src/scheme/ScalarDiamondScheme.hpp
new file mode 100644
index 000000000..704b4c21e
--- /dev/null
+++ b/src/scheme/ScalarDiamondScheme.hpp
@@ -0,0 +1,754 @@
+#include <algebra/CRSMatrix.hpp>
+#include <algebra/LeastSquareSolver.hpp>
+#include <algebra/LinearSolver.hpp>
+#include <algebra/LocalRectangularMatrix.hpp>
+#include <algebra/SparseMatrixDescriptor.hpp>
+#include <algebra/TinyVector.hpp>
+#include <algebra/Vector.hpp>
+#include <language/utils/InterpolateItemValue.hpp>
+#include <mesh/Connectivity.hpp>
+#include <mesh/ConnectivityToDiamondDualConnectivityDataMapper.hpp>
+#include <mesh/DiamondDualConnectivityManager.hpp>
+#include <mesh/DiamondDualMeshManager.hpp>
+#include <mesh/Mesh.hpp>
+#include <mesh/MeshData.hpp>
+#include <mesh/MeshDataManager.hpp>
+#include <mesh/MeshNodeBoundary.hpp>
+#include <mesh/SubItemValuePerItem.hpp>
+#include <output/VTKWriter.hpp>
+#include <scheme/DirichletBoundaryConditionDescriptor.hpp>
+#include <scheme/FourierBoundaryConditionDescriptor.hpp>
+#include <scheme/NeumannBoundaryConditionDescriptor.hpp>
+#include <scheme/SymmetryBoundaryConditionDescriptor.hpp>
+#include <utils/Timer.hpp>
+
+template <size_t Dimension>
+class ScalarDiamondScheme
+{
+ private:
+ class DirichletBoundaryCondition
+ {
+ private:
+ const Array<const double> m_value_list;
+ const Array<const FaceId> m_face_list;
+
+ public:
+ const Array<const FaceId>&
+ faceList() const
+ {
+ return m_face_list;
+ }
+
+ const Array<const double>&
+ valueList() const
+ {
+ return m_value_list;
+ }
+
+ DirichletBoundaryCondition(const Array<const FaceId>& face_list, const Array<const double>& value_list)
+ : m_value_list{value_list}, m_face_list{face_list}
+ {
+ Assert(m_value_list.size() == m_face_list.size());
+ }
+
+ ~DirichletBoundaryCondition() = default;
+ };
+
+ class NeumannBoundaryCondition
+ {
+ private:
+ const Array<const double> m_value_list;
+ const Array<const FaceId> m_face_list;
+
+ public:
+ const Array<const FaceId>&
+ faceList() const
+ {
+ return m_face_list;
+ }
+
+ const Array<const double>&
+ valueList() const
+ {
+ return m_value_list;
+ }
+
+ NeumannBoundaryCondition(const Array<const FaceId>& face_list, const Array<const double>& value_list)
+ : m_value_list{value_list}, m_face_list{face_list}
+ {
+ Assert(m_value_list.size() == m_face_list.size());
+ }
+
+ ~NeumannBoundaryCondition() = default;
+ };
+
+ class FourierBoundaryCondition
+ {
+ private:
+ const Array<const double> m_coef_list;
+ const Array<const double> m_value_list;
+ const Array<const FaceId> m_face_list;
+
+ public:
+ const Array<const FaceId>&
+ faceList() const
+ {
+ return m_face_list;
+ }
+
+ const Array<const double>&
+ valueList() const
+ {
+ return m_value_list;
+ }
+
+ const Array<const double>&
+ coefList() const
+ {
+ return m_coef_list;
+ }
+
+ public:
+ FourierBoundaryCondition(const Array<const FaceId>& face_list,
+ const Array<const double>& coef_list,
+ const Array<const double>& value_list)
+ : m_coef_list{coef_list}, m_value_list{value_list}, m_face_list{face_list}
+ {
+ Assert(m_coef_list.size() == m_face_list.size());
+ Assert(m_value_list.size() == m_face_list.size());
+ }
+
+ ~FourierBoundaryCondition() = default;
+ };
+
+ class SymmetryBoundaryCondition
+ {
+ private:
+ const Array<const FaceId> m_face_list;
+
+ public:
+ const Array<const FaceId>&
+ faceList() const
+ {
+ return m_face_list;
+ }
+
+ public:
+ SymmetryBoundaryCondition(const Array<const FaceId>& face_list) : m_face_list{face_list} {}
+
+ ~SymmetryBoundaryCondition() = default;
+ };
+
+ // class DirichletBoundaryCondition;
+ // class FourierBoundaryCondition;
+ // class NeumannBoundaryCondition;
+ // class SymmetryBoundaryCondition;
+
+ public:
+ ScalarDiamondScheme(std::shared_ptr<const IMesh> i_mesh,
+ const std::vector<std::shared_ptr<const IBoundaryConditionDescriptor>>& bc_descriptor_list,
+ const FunctionSymbolId& kappa_id,
+ const FunctionSymbolId& f_id,
+ CellValue<double>& Temperature,
+ FaceValue<double>& Temperature_face)
+ {
+ using ConnectivityType = Connectivity<Dimension>;
+ using MeshType = Mesh<ConnectivityType>;
+ using MeshDataType = MeshData<Dimension>;
+
+ constexpr ItemType FaceType = [] {
+ if constexpr (Dimension > 1) {
+ return ItemType::face;
+ } else {
+ return ItemType::node;
+ }
+ }();
+
+ using BoundaryCondition = std::variant<DirichletBoundaryCondition, FourierBoundaryCondition,
+ NeumannBoundaryCondition, SymmetryBoundaryCondition>;
+
+ using BoundaryConditionList = std::vector<BoundaryCondition>;
+
+ BoundaryConditionList boundary_condition_list;
+
+ std::cout << "number of bc descr = " << bc_descriptor_list.size() << '\n';
+ std::shared_ptr mesh = std::dynamic_pointer_cast<const MeshType>(i_mesh);
+
+ for (const auto& bc_descriptor : bc_descriptor_list) {
+ bool is_valid_boundary_condition = true;
+
+ switch (bc_descriptor->type()) {
+ case IBoundaryConditionDescriptor::Type::symmetry: {
+ throw NotImplementedError("NIY");
+ break;
+ }
+ case IBoundaryConditionDescriptor::Type::dirichlet: {
+ const DirichletBoundaryConditionDescriptor& dirichlet_bc_descriptor =
+ dynamic_cast<const DirichletBoundaryConditionDescriptor&>(*bc_descriptor);
+ if constexpr (Dimension > 1) {
+ for (size_t i_ref_face_list = 0;
+ i_ref_face_list < mesh->connectivity().template numberOfRefItemList<FaceType>(); ++i_ref_face_list) {
+ const auto& ref_face_list = mesh->connectivity().template refItemList<FaceType>(i_ref_face_list);
+ const RefId& ref = ref_face_list.refId();
+ if (ref == dirichlet_bc_descriptor.boundaryDescriptor()) {
+ MeshNodeBoundary<Dimension> mesh_node_boundary{mesh, ref_face_list};
+
+ const FunctionSymbolId g_id = dirichlet_bc_descriptor.rhsSymbolId();
+ MeshDataType& mesh_data = MeshDataManager::instance().getMeshData(*mesh);
+
+ Array<const FaceId> face_list = ref_face_list.list();
+ Array<const double> value_list = InterpolateItemValue<double(
+ TinyVector<Dimension>)>::template interpolate<ItemType::face>(g_id, mesh_data.xl(), face_list);
+ boundary_condition_list.push_back(DirichletBoundaryCondition{face_list, value_list});
+ }
+ }
+ }
+ break;
+ }
+ case IBoundaryConditionDescriptor::Type::fourier: {
+ throw NotImplementedError("NIY");
+ break;
+ }
+ case IBoundaryConditionDescriptor::Type::neumann: {
+ const NeumannBoundaryConditionDescriptor& neumann_bc_descriptor =
+ dynamic_cast<const NeumannBoundaryConditionDescriptor&>(*bc_descriptor);
+
+ for (size_t i_ref_face_list = 0;
+ i_ref_face_list < mesh->connectivity().template numberOfRefItemList<FaceType>(); ++i_ref_face_list) {
+ const auto& ref_face_list = mesh->connectivity().template refItemList<FaceType>(i_ref_face_list);
+ const RefId& ref = ref_face_list.refId();
+ if (ref == neumann_bc_descriptor.boundaryDescriptor()) {
+ const FunctionSymbolId g_id = neumann_bc_descriptor.rhsSymbolId();
+
+ if constexpr (Dimension > 1) {
+ MeshDataType& mesh_data = MeshDataManager::instance().getMeshData(*mesh);
+
+ Array<const FaceId> face_list = ref_face_list.list();
+ Array<const double> value_list = InterpolateItemValue<double(
+ TinyVector<Dimension>)>::template interpolate<ItemType::face>(g_id, mesh_data.xl(), face_list);
+ boundary_condition_list.push_back(NeumannBoundaryCondition{face_list, value_list});
+ }
+ }
+ }
+ break;
+ }
+ default: {
+ is_valid_boundary_condition = false;
+ }
+ }
+ if (not is_valid_boundary_condition) {
+ std::ostringstream error_msg;
+ error_msg << *bc_descriptor << " is an invalid boundary condition for heat equation";
+ throw NormalError(error_msg.str());
+ }
+ }
+
+ if constexpr (Dimension > 1) {
+ const CellValue<const size_t> cell_dof_number = [&] {
+ CellValue<size_t> compute_cell_dof_number{mesh->connectivity()};
+ parallel_for(
+ mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) { compute_cell_dof_number[cell_id] = cell_id; });
+ return compute_cell_dof_number;
+ }();
+ size_t number_of_dof = mesh->numberOfCells();
+
+ const FaceValue<const size_t> face_dof_number = [&] {
+ FaceValue<size_t> compute_face_dof_number{mesh->connectivity()};
+ compute_face_dof_number.fill(std::numeric_limits<size_t>::max());
+ for (const auto& boundary_condition : boundary_condition_list) {
+ std::visit(
+ [&](auto&& bc) {
+ using T = std::decay_t<decltype(bc)>;
+ if constexpr ((std::is_same_v<T, NeumannBoundaryCondition>) or
+ (std::is_same_v<T, FourierBoundaryCondition>) or
+ (std::is_same_v<T, SymmetryBoundaryCondition>) or
+ (std::is_same_v<T, DirichletBoundaryCondition>)) {
+ const auto& face_list = bc.faceList();
+
+ for (size_t i_face = 0; i_face < face_list.size(); ++i_face) {
+ const FaceId face_id = face_list[i_face];
+ if (compute_face_dof_number[face_id] != std::numeric_limits<size_t>::max()) {
+ std::ostringstream os;
+ os << "The face " << face_id << " is used at least twice for boundary conditions";
+ throw NormalError(os.str());
+ } else {
+ compute_face_dof_number[face_id] = number_of_dof++;
+ }
+ }
+ }
+ },
+ boundary_condition);
+ }
+
+ return compute_face_dof_number;
+ }();
+
+ const FaceValue<const bool> primal_face_is_neumann = [&] {
+ FaceValue<bool> face_is_neumann{mesh->connectivity()};
+ face_is_neumann.fill(false);
+ for (const auto& boundary_condition : boundary_condition_list) {
+ std::visit(
+ [&](auto&& bc) {
+ using T = std::decay_t<decltype(bc)>;
+ if constexpr ((std::is_same_v<T, NeumannBoundaryCondition>) or
+ (std::is_same_v<T, FourierBoundaryCondition>) or
+ (std::is_same_v<T, SymmetryBoundaryCondition>)) {
+ const auto& face_list = bc.faceList();
+
+ for (size_t i_face = 0; i_face < face_list.size(); ++i_face) {
+ const FaceId face_id = face_list[i_face];
+ face_is_neumann[face_id] = true;
+ }
+ }
+ },
+ boundary_condition);
+ }
+
+ return face_is_neumann;
+ }();
+
+ const auto& primal_face_to_node_matrix = mesh->connectivity().faceToNodeMatrix();
+ const auto& face_to_cell_matrix = mesh->connectivity().faceToCellMatrix();
+ NodeValue<bool> primal_node_is_on_boundary(mesh->connectivity());
+ if (parallel::size() > 1) {
+ throw NotImplementedError("Calculation of node_is_on_boundary is incorrect");
+ }
+
+ primal_node_is_on_boundary.fill(false);
+ for (FaceId face_id = 0; face_id < mesh->numberOfFaces(); ++face_id) {
+ if (face_to_cell_matrix[face_id].size() == 1) {
+ for (size_t i_node = 0; i_node < primal_face_to_node_matrix[face_id].size(); ++i_node) {
+ NodeId node_id = primal_face_to_node_matrix[face_id][i_node];
+ primal_node_is_on_boundary[node_id] = true;
+ }
+ }
+ }
+
+ FaceValue<bool> primal_face_is_on_boundary(mesh->connectivity());
+ if (parallel::size() > 1) {
+ throw NotImplementedError("Calculation of face_is_on_boundary is incorrect");
+ }
+
+ primal_face_is_on_boundary.fill(false);
+ for (FaceId face_id = 0; face_id < mesh->numberOfFaces(); ++face_id) {
+ if (face_to_cell_matrix[face_id].size() == 1) {
+ primal_face_is_on_boundary[face_id] = true;
+ }
+ }
+
+ FaceValue<bool> primal_face_is_dirichlet(mesh->connectivity());
+ if (parallel::size() > 1) {
+ throw NotImplementedError("Calculation of face_is_neumann is incorrect");
+ }
+
+ primal_face_is_dirichlet.fill(false);
+ for (FaceId face_id = 0; face_id < mesh->numberOfFaces(); ++face_id) {
+ primal_face_is_dirichlet[face_id] = (primal_face_is_on_boundary[face_id] && (!primal_face_is_neumann[face_id]));
+ }
+
+ MeshDataType& mesh_data = MeshDataManager::instance().getMeshData(*mesh);
+
+ const NodeValue<const TinyVector<Dimension>>& xr = mesh->xr();
+
+ const FaceValue<const TinyVector<Dimension>>& xl = mesh_data.xl();
+ const CellValue<const TinyVector<Dimension>>& xj = mesh_data.xj();
+ const auto& node_to_cell_matrix = mesh->connectivity().nodeToCellMatrix();
+ const auto& node_to_face_matrix = mesh->connectivity().nodeToFaceMatrix();
+ CellValuePerNode<double> w_rj{mesh->connectivity()};
+ FaceValuePerNode<double> w_rl{mesh->connectivity()};
+
+ for (size_t i = 0; i < w_rl.numberOfValues(); ++i) {
+ w_rl[i] = std::numeric_limits<double>::signaling_NaN();
+ }
+
+ for (NodeId i_node = 0; i_node < mesh->numberOfNodes(); ++i_node) {
+ Vector<double> b{Dimension + 1};
+ b[0] = 1;
+ for (size_t i = 1; i < Dimension + 1; i++) {
+ b[i] = xr[i_node][i - 1];
+ }
+ const auto& node_to_cell = node_to_cell_matrix[i_node];
+
+ if (not primal_node_is_on_boundary[i_node]) {
+ LocalRectangularMatrix<double> A{Dimension + 1, node_to_cell.size()};
+ for (size_t j = 0; j < node_to_cell.size(); j++) {
+ A(0, j) = 1;
+ }
+ for (size_t i = 1; i < Dimension + 1; i++) {
+ for (size_t j = 0; j < node_to_cell.size(); j++) {
+ const CellId J = node_to_cell[j];
+ A(i, j) = xj[J][i - 1];
+ }
+ }
+ Vector<double> x{node_to_cell.size()};
+ x = 0;
+
+ LeastSquareSolver ls_solver;
+ ls_solver.solveLocalSystem(A, x, b);
+
+ for (size_t j = 0; j < node_to_cell.size(); j++) {
+ w_rj(i_node, j) = x[j];
+ }
+ } else {
+ int nb_face_used = 0;
+ for (size_t i_face = 0; i_face < node_to_face_matrix[i_node].size(); ++i_face) {
+ FaceId face_id = node_to_face_matrix[i_node][i_face];
+ if (primal_face_is_on_boundary[face_id]) {
+ nb_face_used++;
+ }
+ }
+ LocalRectangularMatrix<double> A{Dimension + 1, node_to_cell.size() + nb_face_used};
+ for (size_t j = 0; j < node_to_cell.size() + nb_face_used; j++) {
+ A(0, j) = 1;
+ }
+ for (size_t i = 1; i < Dimension + 1; i++) {
+ for (size_t j = 0; j < node_to_cell.size(); j++) {
+ const CellId J = node_to_cell[j];
+ A(i, j) = xj[J][i - 1];
+ }
+ }
+ for (size_t i = 1; i < Dimension + 1; i++) {
+ int cpt_face = 0;
+ for (size_t i_face = 0; i_face < node_to_face_matrix[i_node].size(); ++i_face) {
+ FaceId face_id = node_to_face_matrix[i_node][i_face];
+ if (primal_face_is_on_boundary[face_id]) {
+ A(i, node_to_cell.size() + cpt_face) = xl[face_id][i - 1];
+ cpt_face++;
+ }
+ }
+ }
+
+ Vector<double> x{node_to_cell.size() + nb_face_used};
+ x = 0;
+
+ LeastSquareSolver ls_solver;
+ ls_solver.solveLocalSystem(A, x, b);
+
+ for (size_t j = 0; j < node_to_cell.size(); j++) {
+ w_rj(i_node, j) = x[j];
+ }
+ int cpt_face = node_to_cell.size();
+ for (size_t i_face = 0; i_face < node_to_face_matrix[i_node].size(); ++i_face) {
+ FaceId face_id = node_to_face_matrix[i_node][i_face];
+ if (primal_face_is_on_boundary[face_id]) {
+ w_rl(i_node, i_face) = x[cpt_face++];
+ }
+ }
+ }
+ }
+
+ {
+ std::shared_ptr diamond_mesh = DiamondDualMeshManager::instance().getDiamondDualMesh(mesh);
+
+ MeshDataType& diamond_mesh_data = MeshDataManager::instance().getMeshData(*diamond_mesh);
+
+ std::shared_ptr mapper =
+ DiamondDualConnectivityManager::instance().getConnectivityToDiamondDualConnectivityDataMapper(
+ mesh->connectivity());
+
+ CellValue<double> kappaj =
+ InterpolateItemValue<double(TinyVector<Dimension>)>::template interpolate<ItemType::cell>(kappa_id,
+ mesh_data.xj());
+
+ CellValue<double> dual_kappaj =
+ InterpolateItemValue<double(TinyVector<Dimension>)>::template interpolate<ItemType::cell>(kappa_id,
+ diamond_mesh_data
+ .xj());
+
+ VTKWriter vtk_writer("D_" + std::to_string(Dimension), 0.01);
+
+ vtk_writer.write(diamond_mesh,
+ {NamedItemValue{"kappaj", dual_kappaj}, NamedItemValue{"coords", diamond_mesh->xr()},
+ NamedItemValue{"Vj", diamond_mesh_data.Vj()}, NamedItemValue{"xj", diamond_mesh_data.xj()}},
+ 0, true); // forces last output
+
+ const CellValue<const double> dual_Vj = diamond_mesh_data.Vj();
+
+ const FaceValue<const double> mes_l = [&] {
+ if constexpr (Dimension == 1) {
+ FaceValue<double> compute_mes_l{mesh->connectivity()};
+ compute_mes_l.fill(1);
+ return compute_mes_l;
+ } else {
+ return mesh_data.ll();
+ }
+ }();
+
+ const CellValue<const double> dual_mes_l_j = [=] {
+ CellValue<double> compute_mes_j{diamond_mesh->connectivity()};
+ mapper->toDualCell(mes_l, compute_mes_j);
+
+ return compute_mes_j;
+ }();
+
+ FaceValue<const CellId> face_dual_cell_id = [=]() {
+ FaceValue<CellId> computed_face_dual_cell_id{mesh->connectivity()};
+ CellValue<CellId> dual_cell_id{diamond_mesh->connectivity()};
+ parallel_for(
+ diamond_mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) { dual_cell_id[cell_id] = cell_id; });
+
+ mapper->fromDualCell(dual_cell_id, computed_face_dual_cell_id);
+
+ return computed_face_dual_cell_id;
+ }();
+
+ NodeValue<const NodeId> dual_node_primal_node_id = [=]() {
+ CellValue<NodeId> cell_ignored_id{mesh->connectivity()};
+ cell_ignored_id.fill(NodeId{std::numeric_limits<unsigned int>::max()});
+
+ NodeValue<NodeId> node_primal_id{mesh->connectivity()};
+
+ parallel_for(
+ mesh->numberOfNodes(), PUGS_LAMBDA(NodeId node_id) { node_primal_id[node_id] = node_id; });
+
+ NodeValue<NodeId> computed_dual_node_primal_node_id{diamond_mesh->connectivity()};
+
+ mapper->toDualNode(node_primal_id, cell_ignored_id, computed_dual_node_primal_node_id);
+
+ return computed_dual_node_primal_node_id;
+ }();
+
+ CellValue<NodeId> primal_cell_dual_node_id = [=]() {
+ CellValue<NodeId> cell_id{mesh->connectivity()};
+ NodeValue<NodeId> node_ignored_id{mesh->connectivity()};
+ node_ignored_id.fill(NodeId{std::numeric_limits<unsigned int>::max()});
+
+ NodeValue<NodeId> dual_node_id{diamond_mesh->connectivity()};
+
+ parallel_for(
+ diamond_mesh->numberOfNodes(), PUGS_LAMBDA(NodeId node_id) { dual_node_id[node_id] = node_id; });
+
+ CellValue<NodeId> computed_primal_cell_dual_node_id{mesh->connectivity()};
+
+ mapper->fromDualNode(dual_node_id, node_ignored_id, cell_id);
+
+ return cell_id;
+ }();
+ Timer my_timer;
+ const auto& dual_Cjr = diamond_mesh_data.Cjr();
+ FaceValue<TinyVector<Dimension>> dualClj = [&] {
+ FaceValue<TinyVector<Dimension>> computedClj{mesh->connectivity()};
+ const auto& dual_node_to_cell_matrix = diamond_mesh->connectivity().nodeToCellMatrix();
+ const auto& dual_cell_to_node_matrix = diamond_mesh->connectivity().cellToNodeMatrix();
+ parallel_for(
+ mesh->numberOfFaces(), PUGS_LAMBDA(FaceId face_id) {
+ const auto& primal_face_to_cell = face_to_cell_matrix[face_id];
+ for (size_t i = 0; i < primal_face_to_cell.size(); i++) {
+ CellId cell_id = primal_face_to_cell[i];
+ const NodeId dual_node_id = primal_cell_dual_node_id[cell_id];
+ for (size_t i_dual_cell = 0; i_dual_cell < dual_node_to_cell_matrix[dual_node_id].size();
+ i_dual_cell++) {
+ const CellId dual_cell_id = dual_node_to_cell_matrix[dual_node_id][i_dual_cell];
+ if (face_dual_cell_id[face_id] == dual_cell_id) {
+ for (size_t i_dual_node = 0; i_dual_node < dual_cell_to_node_matrix[dual_cell_id].size();
+ i_dual_node++) {
+ const NodeId final_dual_node_id = dual_cell_to_node_matrix[dual_cell_id][i_dual_node];
+ if (final_dual_node_id == dual_node_id) {
+ computedClj[face_id] = dual_Cjr(dual_cell_id, i_dual_node);
+ }
+ }
+ }
+ }
+ }
+ });
+ return computedClj;
+ }();
+
+ FaceValue<TinyVector<Dimension>> nlj = [&] {
+ FaceValue<TinyVector<Dimension>> computedNlj{mesh->connectivity()};
+ parallel_for(
+ mesh->numberOfFaces(),
+ PUGS_LAMBDA(FaceId face_id) { computedNlj[face_id] = 1. / l2Norm(dualClj[face_id]) * dualClj[face_id]; });
+ return computedNlj;
+ }();
+
+ FaceValue<const double> alpha_l = [&] {
+ CellValue<double> alpha_j{diamond_mesh->connectivity()};
+
+ parallel_for(
+ diamond_mesh->numberOfCells(), PUGS_LAMBDA(CellId diamond_cell_id) {
+ alpha_j[diamond_cell_id] = dual_kappaj[diamond_cell_id] / dual_Vj[diamond_cell_id];
+ });
+
+ FaceValue<double> computed_alpha_l{mesh->connectivity()};
+ mapper->fromDualCell(alpha_j, computed_alpha_l);
+ VTKWriter vtk_writer("DD_" + std::to_string(Dimension), 0.01);
+
+ vtk_writer.write(diamond_mesh,
+ {NamedItemValue{"alphaj", alpha_j}, NamedItemValue{"xj", diamond_mesh_data.xj()},
+ NamedItemValue{"Vl", diamond_mesh_data.Vj()}, NamedItemValue{"|l|", dual_mes_l_j}},
+ 0,
+ true); // forces last output
+
+ return computed_alpha_l;
+ }();
+
+ SparseMatrixDescriptor S{number_of_dof};
+ for (FaceId face_id = 0; face_id < mesh->numberOfFaces(); ++face_id) {
+ const auto& primal_face_to_cell = face_to_cell_matrix[face_id];
+ // const double beta_l = 1. / Dimension * alpha_l[face_id] * mes_l[face_id];
+ const double beta_l = l2Norm(dualClj[face_id]) * alpha_l[face_id] * mes_l[face_id];
+ for (size_t i_cell = 0; i_cell < primal_face_to_cell.size(); ++i_cell) {
+ const CellId cell_id1 = primal_face_to_cell[i_cell];
+ for (size_t j_cell = 0; j_cell < primal_face_to_cell.size(); ++j_cell) {
+ const CellId cell_id2 = primal_face_to_cell[j_cell];
+ if (i_cell == j_cell) {
+ S(cell_dof_number[cell_id1], cell_dof_number[cell_id2]) += beta_l;
+ if (primal_face_is_neumann[face_id]) {
+ S(face_dof_number[face_id], cell_dof_number[cell_id2]) -= beta_l;
+ }
+ } else {
+ S(cell_dof_number[cell_id1], cell_dof_number[cell_id2]) -= beta_l;
+ }
+ }
+ }
+ }
+
+ const auto& dual_cell_to_node_matrix = diamond_mesh->connectivity().cellToNodeMatrix();
+
+ const auto& primal_node_to_cell_matrix = mesh->connectivity().nodeToCellMatrix();
+ for (FaceId face_id = 0; face_id < mesh->numberOfFaces(); ++face_id) {
+ const double alpha_face_id = mes_l[face_id] * alpha_l[face_id];
+
+ for (size_t i_face_cell = 0; i_face_cell < face_to_cell_matrix[face_id].size(); ++i_face_cell) {
+ CellId i_id = face_to_cell_matrix[face_id][i_face_cell];
+ const bool is_face_reversed_for_cell_i = ((dualClj[face_id], xl[face_id] - xj[i_id]) < 0);
+
+ for (size_t i_node = 0; i_node < primal_face_to_node_matrix[face_id].size(); ++i_node) {
+ NodeId node_id = primal_face_to_node_matrix[face_id][i_node];
+
+ const TinyVector<Dimension> nil = [&] {
+ if (is_face_reversed_for_cell_i) {
+ return -nlj[face_id];
+ } else {
+ return nlj[face_id];
+ }
+ }();
+
+ CellId dual_cell_id = face_dual_cell_id[face_id];
+
+ for (size_t i_dual_node = 0; i_dual_node < dual_cell_to_node_matrix[dual_cell_id].size(); ++i_dual_node) {
+ const NodeId dual_node_id = dual_cell_to_node_matrix[dual_cell_id][i_dual_node];
+ if (dual_node_primal_node_id[dual_node_id] == node_id) {
+ const TinyVector<Dimension> Clr = dual_Cjr(dual_cell_id, i_dual_node);
+
+ const double a_ir = alpha_face_id * (nil, Clr);
+
+ for (size_t j_cell = 0; j_cell < primal_node_to_cell_matrix[node_id].size(); ++j_cell) {
+ CellId j_id = primal_node_to_cell_matrix[node_id][j_cell];
+ S(cell_dof_number[i_id], cell_dof_number[j_id]) -= w_rj(node_id, j_cell) * a_ir;
+ if (primal_face_is_neumann[face_id]) {
+ S(face_dof_number[face_id], cell_dof_number[j_id]) += w_rj(node_id, j_cell) * a_ir;
+ }
+ }
+ if (primal_node_is_on_boundary[node_id]) {
+ for (size_t l_face = 0; l_face < node_to_face_matrix[node_id].size(); ++l_face) {
+ FaceId l_id = node_to_face_matrix[node_id][l_face];
+ if (primal_face_is_on_boundary[l_id]) {
+ S(cell_dof_number[i_id], face_dof_number[l_id]) -= w_rl(node_id, l_face) * a_ir;
+ if (primal_face_is_neumann[face_id]) {
+ S(face_dof_number[face_id], face_dof_number[l_id]) += w_rl(node_id, l_face) * a_ir;
+ }
+ }
+ }
+ }
+ }
+ }
+ }
+ }
+ }
+ for (FaceId face_id = 0; face_id < mesh->numberOfFaces(); ++face_id) {
+ if (primal_face_is_dirichlet[face_id]) {
+ S(face_dof_number[face_id], face_dof_number[face_id]) += 1;
+ }
+ }
+
+ CellValue<double> fj =
+ InterpolateItemValue<double(TinyVector<Dimension>)>::template interpolate<ItemType::cell>(f_id,
+ mesh_data.xj());
+
+ const CellValue<const double> primal_Vj = mesh_data.Vj();
+ CRSMatrix A{S};
+ Vector<double> b{number_of_dof};
+
+ for (CellId cell_id = 0; cell_id < mesh->numberOfCells(); ++cell_id) {
+ b[cell_dof_number[cell_id]] = fj[cell_id] * primal_Vj[cell_id];
+ }
+ // Dirichlet on b^L_D
+ {
+ for (const auto& boundary_condition : boundary_condition_list) {
+ std::visit(
+ [&](auto&& bc) {
+ using T = std::decay_t<decltype(bc)>;
+ if constexpr (std::is_same_v<T, DirichletBoundaryCondition>) {
+ const auto& face_list = bc.faceList();
+ const auto& value_list = bc.valueList();
+ for (size_t i_face = 0; i_face < face_list.size(); ++i_face) {
+ const FaceId face_id = face_list[i_face];
+ b[face_dof_number[face_id]] += value_list[i_face]; // sign
+ }
+ }
+ },
+ boundary_condition);
+ }
+ }
+ // EL b^L
+ for (const auto& boundary_condition : boundary_condition_list) {
+ std::visit(
+ [&](auto&& bc) {
+ using T = std::decay_t<decltype(bc)>;
+ if constexpr ((std::is_same_v<T, NeumannBoundaryCondition>) or
+ (std::is_same_v<T, FourierBoundaryCondition>)) {
+ const auto& face_list = bc.faceList();
+ const auto& value_list = bc.valueList();
+ for (size_t i_face = 0; i_face < face_list.size(); ++i_face) {
+ FaceId face_id = face_list[i_face];
+ b[face_dof_number[face_id]] += mes_l[face_id] * value_list[i_face]; // sign
+ }
+ }
+ },
+ boundary_condition);
+ }
+
+ Vector<double> T{number_of_dof};
+ T = 1;
+
+ LinearSolver solver;
+ solver.solveLocalSystem(A, T, b);
+
+ parallel_for(
+ mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) { Temperature[cell_id] = T[cell_dof_number[cell_id]]; });
+ parallel_for(
+ mesh->numberOfFaces(), PUGS_LAMBDA(FaceId face_id) {
+ if (primal_face_is_neumann[face_id]) {
+ Temperature_face[face_id] = T[face_dof_number[face_id]];
+ }
+ });
+ }
+ }
+ }
+};
+
+template ScalarDiamondScheme<1>::ScalarDiamondScheme(
+ std::shared_ptr<const IMesh>,
+ const std::vector<std::shared_ptr<const IBoundaryConditionDescriptor>>&,
+ const FunctionSymbolId&,
+ const FunctionSymbolId&,
+ CellValue<double>&,
+ FaceValue<double>&);
+
+template ScalarDiamondScheme<2>::ScalarDiamondScheme(
+ std::shared_ptr<const IMesh>,
+ const std::vector<std::shared_ptr<const IBoundaryConditionDescriptor>>&,
+ const FunctionSymbolId&,
+ const FunctionSymbolId&,
+ CellValue<double>&,
+ FaceValue<double>&);
+
+template ScalarDiamondScheme<3>::ScalarDiamondScheme(
+ std::shared_ptr<const IMesh>,
+ const std::vector<std::shared_ptr<const IBoundaryConditionDescriptor>>&,
+ const FunctionSymbolId&,
+ const FunctionSymbolId&,
+ CellValue<double>&,
+ FaceValue<double>&);
--
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