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Commit f22b8382 authored by Emmanuel Labourasse's avatar Emmanuel Labourasse
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Hyperelastic Lagrangian solver (Eucclhyd or Glace-type).

First commit.
parent 40c91db6
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1 merge request!163Hyperelastic Lagrangian solver (Eucclhyd or Glace-type).
#include <scheme/HyperelasticSolver.hpp>
#include <language/utils/InterpolateItemValue.hpp>
#include <mesh/ItemValueUtils.hpp>
#include <mesh/ItemValueVariant.hpp>
#include <mesh/MeshFaceBoundary.hpp>
#include <mesh/MeshFlatNodeBoundary.hpp>
#include <mesh/MeshNodeBoundary.hpp>
#include <mesh/SubItemValuePerItemVariant.hpp>
#include <scheme/DirichletBoundaryConditionDescriptor.hpp>
#include <scheme/DiscreteFunctionP0.hpp>
#include <scheme/DiscreteFunctionUtils.hpp>
#include <scheme/ExternalBoundaryConditionDescriptor.hpp>
#include <scheme/FixedBoundaryConditionDescriptor.hpp>
#include <scheme/IBoundaryConditionDescriptor.hpp>
#include <scheme/IDiscreteFunction.hpp>
#include <scheme/IDiscreteFunctionDescriptor.hpp>
#include <scheme/SymmetryBoundaryConditionDescriptor.hpp>
#include <utils/Socket.hpp>
#include <variant>
#include <vector>
template <size_t Dimension>
double
hyperelastic_dt(const DiscreteFunctionP0<Dimension, double>& c)
{
const Mesh<Connectivity<Dimension>>& mesh = dynamic_cast<const Mesh<Connectivity<Dimension>>&>(*c.mesh());
const auto Vj = MeshDataManager::instance().getMeshData(mesh).Vj();
const auto Sj = MeshDataManager::instance().getMeshData(mesh).sumOverRLjr();
CellValue<double> local_dt{mesh.connectivity()};
parallel_for(
mesh.numberOfCells(), PUGS_LAMBDA(CellId j) { local_dt[j] = 2 * Vj[j] / (Sj[j] * c[j]); });
return min(local_dt);
}
double
hyperelastic_dt(const std::shared_ptr<const IDiscreteFunction>& c)
{
if ((c->descriptor().type() != DiscreteFunctionType::P0) or (c->dataType() != ASTNodeDataType::double_t)) {
throw NormalError("invalid discrete function type");
}
std::shared_ptr mesh = c->mesh();
switch (mesh->dimension()) {
case 1: {
return hyperelastic_dt(dynamic_cast<const DiscreteFunctionP0<1, double>&>(*c));
}
case 2: {
return hyperelastic_dt(dynamic_cast<const DiscreteFunctionP0<2, double>&>(*c));
}
case 3: {
return hyperelastic_dt(dynamic_cast<const DiscreteFunctionP0<3, double>&>(*c));
}
default: {
throw UnexpectedError("invalid mesh dimension");
}
}
}
template <size_t Dimension>
class HyperelasticSolverHandler::HyperelasticSolver final : public HyperelasticSolverHandler::IHyperelasticSolver
{
private:
using Rdxd = TinyMatrix<Dimension>;
using Rd = TinyVector<Dimension>;
using MeshType = Mesh<Connectivity<Dimension>>;
using MeshDataType = MeshData<Dimension>;
using DiscreteScalarFunction = DiscreteFunctionP0<Dimension, double>;
using DiscreteVectorFunction = DiscreteFunctionP0<Dimension, Rd>;
using DiscreteTensorFunction = DiscreteFunctionP0<Dimension, Rdxd>;
class FixedBoundaryCondition;
class PressureBoundaryCondition;
class SymmetryBoundaryCondition;
class VelocityBoundaryCondition;
using BoundaryCondition = std::
variant<FixedBoundaryCondition, PressureBoundaryCondition, SymmetryBoundaryCondition, VelocityBoundaryCondition>;
using BoundaryConditionList = std::vector<BoundaryCondition>;
NodeValuePerCell<const Rdxd>
_computeGlaceAjr(const MeshType& mesh, const DiscreteScalarFunction& rhoaL, const DiscreteScalarFunction& rhoaT) const
{
MeshDataType& mesh_data = MeshDataManager::instance().getMeshData(mesh);
const NodeValuePerCell<const Rd> Cjr = mesh_data.Cjr();
const NodeValuePerCell<const Rd> njr = mesh_data.njr();
NodeValuePerCell<Rdxd> Ajr{mesh.connectivity()};
const Rdxd I = identity;
parallel_for(
mesh.numberOfCells(), PUGS_LAMBDA(CellId j) {
const size_t& nb_nodes = Ajr.numberOfSubValues(j);
const double& rhoaL_j = rhoaL[j];
const double& rhoaT_j = rhoaT[j];
for (size_t r = 0; r < nb_nodes; ++r) {
const Rdxd& M = tensorProduct(Cjr(j, r), njr(j, r));
Ajr(j, r) = rhoaL_j * M + rhoaT_j * (I - M);
}
});
return Ajr;
}
NodeValuePerCell<const Rdxd>
_computeEucclhydAjr(const MeshType& mesh,
const DiscreteScalarFunction& rhoaL,
const DiscreteScalarFunction& rhoaT) const
{
MeshDataType& mesh_data = MeshDataManager::instance().getMeshData(mesh);
const NodeValuePerFace<const Rd> Nlr = mesh_data.Nlr();
const NodeValuePerFace<const Rd> nlr = mesh_data.nlr();
const auto& face_to_node_matrix = mesh.connectivity().faceToNodeMatrix();
const auto& cell_to_node_matrix = mesh.connectivity().cellToNodeMatrix();
const auto& cell_to_face_matrix = mesh.connectivity().cellToFaceMatrix();
NodeValuePerCell<Rdxd> Ajr{mesh.connectivity()};
parallel_for(
Ajr.numberOfValues(), PUGS_LAMBDA(size_t jr) { Ajr[jr] = zero; });
const Rdxd I = identity;
parallel_for(
mesh.numberOfCells(), PUGS_LAMBDA(CellId j) {
const auto& cell_nodes = cell_to_node_matrix[j];
const auto& cell_faces = cell_to_face_matrix[j];
const double& rho_aL = rhoaL[j];
const double& rho_aT = rhoaT[j];
for (size_t L = 0; L < cell_faces.size(); ++L) {
const FaceId& l = cell_faces[L];
const auto& face_nodes = face_to_node_matrix[l];
auto local_node_number_in_cell = [&](NodeId node_number) {
for (size_t i_node = 0; i_node < cell_nodes.size(); ++i_node) {
if (node_number == cell_nodes[i_node]) {
return i_node;
}
}
return std::numeric_limits<size_t>::max();
};
for (size_t rl = 0; rl < face_nodes.size(); ++rl) {
const size_t R = local_node_number_in_cell(face_nodes[rl]);
const Rdxd& M = tensorProduct(Nlr(l, rl), nlr(l, rl));
Ajr(j, R) += rho_aL * M + rho_aT * (I - M);
}
}
});
return Ajr;
}
NodeValuePerCell<const Rdxd>
_computeAjr(const SolverType& solver_type,
const MeshType& mesh,
const DiscreteScalarFunction& rhoaL,
const DiscreteScalarFunction& rhoaT) const
{
if constexpr (Dimension == 1) {
return _computeGlaceAjr(mesh, rhoaL, rhoaT);
} else {
switch (solver_type) {
case SolverType::Glace: {
return _computeGlaceAjr(mesh, rhoaL, rhoaT);
}
case SolverType::Eucclhyd: {
return _computeEucclhydAjr(mesh, rhoaL, rhoaT);
}
default: {
throw UnexpectedError("invalid solver type");
}
}
}
}
NodeValue<Rdxd>
_computeAr(const MeshType& mesh, const NodeValuePerCell<const Rdxd>& Ajr) const
{
const auto& node_to_cell_matrix = mesh.connectivity().nodeToCellMatrix();
const auto& node_local_numbers_in_their_cells = mesh.connectivity().nodeLocalNumbersInTheirCells();
NodeValue<Rdxd> Ar{mesh.connectivity()};
parallel_for(
mesh.numberOfNodes(), PUGS_LAMBDA(NodeId r) {
Rdxd sum = zero;
const auto& node_to_cell = node_to_cell_matrix[r];
const auto& node_local_number_in_its_cells = node_local_numbers_in_their_cells.itemArray(r);
for (size_t j = 0; j < node_to_cell.size(); ++j) {
const CellId J = node_to_cell[j];
const unsigned int R = node_local_number_in_its_cells[j];
sum += Ajr(J, R);
}
Ar[r] = sum;
});
return Ar;
}
NodeValue<Rd>
_computeBr(const Mesh<Connectivity<Dimension>>& mesh,
const NodeValuePerCell<const Rdxd>& Ajr,
const DiscreteVectorFunction& u,
const DiscreteTensorFunction& sigma) const
{
MeshDataType& mesh_data = MeshDataManager::instance().getMeshData(mesh);
const NodeValuePerCell<const Rd>& Cjr = mesh_data.Cjr();
const auto& node_to_cell_matrix = mesh.connectivity().nodeToCellMatrix();
const auto& node_local_numbers_in_their_cells = mesh.connectivity().nodeLocalNumbersInTheirCells();
NodeValue<Rd> b{mesh.connectivity()};
parallel_for(
mesh.numberOfNodes(), PUGS_LAMBDA(NodeId r) {
const auto& node_to_cell = node_to_cell_matrix[r];
const auto& node_local_number_in_its_cells = node_local_numbers_in_their_cells.itemArray(r);
Rd br = zero;
for (size_t j = 0; j < node_to_cell.size(); ++j) {
const CellId J = node_to_cell[j];
const unsigned int R = node_local_number_in_its_cells[j];
br += Ajr(J, R) * u[J] + sigma[J] * Cjr(J, R);
}
b[r] = br;
});
return b;
}
BoundaryConditionList
_getBCList(const MeshType& mesh,
const std::vector<std::shared_ptr<const IBoundaryConditionDescriptor>>& bc_descriptor_list) const
{
BoundaryConditionList bc_list;
for (const auto& bc_descriptor : bc_descriptor_list) {
bool is_valid_boundary_condition = true;
switch (bc_descriptor->type()) {
case IBoundaryConditionDescriptor::Type::symmetry: {
bc_list.emplace_back(
SymmetryBoundaryCondition(getMeshFlatNodeBoundary(mesh, bc_descriptor->boundaryDescriptor())));
break;
}
case IBoundaryConditionDescriptor::Type::fixed: {
bc_list.emplace_back(FixedBoundaryCondition(getMeshNodeBoundary(mesh, bc_descriptor->boundaryDescriptor())));
break;
}
case IBoundaryConditionDescriptor::Type::dirichlet: {
const DirichletBoundaryConditionDescriptor& dirichlet_bc_descriptor =
dynamic_cast<const DirichletBoundaryConditionDescriptor&>(*bc_descriptor);
if (dirichlet_bc_descriptor.name() == "velocity") {
MeshNodeBoundary<Dimension> mesh_node_boundary =
getMeshNodeBoundary(mesh, dirichlet_bc_descriptor.boundaryDescriptor());
Array<const Rd> value_list =
InterpolateItemValue<Rd(Rd)>::template interpolate<ItemType::node>(dirichlet_bc_descriptor.rhsSymbolId(),
mesh.xr(),
mesh_node_boundary.nodeList());
bc_list.emplace_back(VelocityBoundaryCondition{mesh_node_boundary, value_list});
} else if (dirichlet_bc_descriptor.name() == "pressure") {
const FunctionSymbolId pressure_id = dirichlet_bc_descriptor.rhsSymbolId();
if constexpr (Dimension == 1) {
MeshNodeBoundary<Dimension> mesh_node_boundary =
getMeshNodeBoundary(mesh, bc_descriptor->boundaryDescriptor());
Array<const double> node_values =
InterpolateItemValue<double(Rd)>::template interpolate<ItemType::node>(pressure_id, mesh.xr(),
mesh_node_boundary.nodeList());
bc_list.emplace_back(PressureBoundaryCondition{mesh_node_boundary, node_values});
} else {
MeshFaceBoundary<Dimension> mesh_face_boundary =
getMeshFaceBoundary(mesh, bc_descriptor->boundaryDescriptor());
MeshDataType& mesh_data = MeshDataManager::instance().getMeshData(mesh);
Array<const double> face_values =
InterpolateItemValue<double(Rd)>::template interpolate<ItemType::face>(pressure_id, mesh_data.xl(),
mesh_face_boundary.faceList());
bc_list.emplace_back(PressureBoundaryCondition{mesh_face_boundary, face_values});
}
} else {
is_valid_boundary_condition = false;
}
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 hyperelastic solver";
throw NormalError(error_msg.str());
}
}
return bc_list;
}
void _applyPressureBC(const BoundaryConditionList& bc_list, const MeshType& mesh, NodeValue<Rd>& br) const;
void _applySymmetryBC(const BoundaryConditionList& bc_list, NodeValue<Rdxd>& Ar, NodeValue<Rd>& br) const;
void _applyVelocityBC(const BoundaryConditionList& bc_list, NodeValue<Rdxd>& Ar, NodeValue<Rd>& br) const;
void
_applyBoundaryConditions(const BoundaryConditionList& bc_list,
const MeshType& mesh,
NodeValue<Rdxd>& Ar,
NodeValue<Rd>& br) const
{
this->_applyPressureBC(bc_list, mesh, br);
this->_applySymmetryBC(bc_list, Ar, br);
this->_applyVelocityBC(bc_list, Ar, br);
}
NodeValue<const Rd>
_computeUr(const MeshType& mesh, const NodeValue<Rdxd>& Ar, const NodeValue<Rd>& br) const
{
NodeValue<Rd> u{mesh.connectivity()};
parallel_for(
mesh.numberOfNodes(), PUGS_LAMBDA(NodeId r) { u[r] = inverse(Ar[r]) * br[r]; });
return u;
}
NodeValuePerCell<Rd>
_computeFjr(const MeshType& mesh,
const NodeValuePerCell<const Rdxd>& Ajr,
const NodeValue<const Rd>& ur,
const DiscreteVectorFunction& u,
const DiscreteTensorFunction& sigma) const
{
MeshDataType& mesh_data = MeshDataManager::instance().getMeshData(mesh);
const NodeValuePerCell<const Rd> Cjr = mesh_data.Cjr();
const auto& cell_to_node_matrix = mesh.connectivity().cellToNodeMatrix();
NodeValuePerCell<Rd> F{mesh.connectivity()};
parallel_for(
mesh.numberOfCells(), PUGS_LAMBDA(CellId j) {
const auto& cell_nodes = cell_to_node_matrix[j];
for (size_t r = 0; r < cell_nodes.size(); ++r) {
F(j, r) = Ajr(j, r) * (u[j] - ur[cell_nodes[r]]) + sigma[j] * Cjr(j, r);
}
});
return F;
}
public:
std::tuple<const std::shared_ptr<const ItemValueVariant>, const std::shared_ptr<const SubItemValuePerItemVariant>>
compute_fluxes(const SolverType& solver_type,
const std::shared_ptr<const IDiscreteFunction>& i_rho,
const std::shared_ptr<const IDiscreteFunction>& i_aL,
const std::shared_ptr<const IDiscreteFunction>& i_aT,
const std::shared_ptr<const IDiscreteFunction>& i_u,
const std::shared_ptr<const IDiscreteFunction>& i_sigma,
const std::vector<std::shared_ptr<const IBoundaryConditionDescriptor>>& bc_descriptor_list) const
{
std::shared_ptr i_mesh = getCommonMesh({i_rho, i_aL, i_aT, i_u, i_sigma});
if (not i_mesh) {
throw NormalError("discrete functions are not defined on the same mesh");
}
if (not checkDiscretizationType({i_rho, i_aL, i_u, i_sigma}, DiscreteFunctionType::P0)) {
throw NormalError("hyperelastic solver expects P0 functions");
}
const MeshType& mesh = dynamic_cast<const MeshType&>(*i_mesh);
const DiscreteScalarFunction& rho = dynamic_cast<const DiscreteScalarFunction&>(*i_rho);
const DiscreteScalarFunction& aL = dynamic_cast<const DiscreteScalarFunction&>(*i_aL);
const DiscreteScalarFunction& aT = dynamic_cast<const DiscreteScalarFunction&>(*i_aT);
const DiscreteVectorFunction& u = dynamic_cast<const DiscreteVectorFunction&>(*i_u);
const DiscreteTensorFunction& sigma = dynamic_cast<const DiscreteTensorFunction&>(*i_sigma);
NodeValuePerCell<const Rdxd> Ajr = this->_computeAjr(solver_type, mesh, rho * aL, rho * aT);
NodeValue<Rdxd> Ar = this->_computeAr(mesh, Ajr);
NodeValue<Rd> br = this->_computeBr(mesh, Ajr, u, sigma);
const BoundaryConditionList bc_list = this->_getBCList(mesh, bc_descriptor_list);
this->_applyBoundaryConditions(bc_list, mesh, Ar, br);
synchronize(Ar);
synchronize(br);
NodeValue<const Rd> ur = this->_computeUr(mesh, Ar, br);
NodeValuePerCell<const Rd> Fjr = this->_computeFjr(mesh, Ajr, ur, u, sigma);
return std::make_tuple(std::make_shared<const ItemValueVariant>(ur),
std::make_shared<const SubItemValuePerItemVariant>(Fjr));
}
std::tuple<std::shared_ptr<const IMesh>,
std::shared_ptr<const DiscreteFunctionP0<Dimension, double>>,
std::shared_ptr<const DiscreteFunctionP0<Dimension, Rd>>,
std::shared_ptr<const DiscreteFunctionP0<Dimension, double>>,
std::shared_ptr<const DiscreteFunctionP0<Dimension, Rdxd>>>
apply_fluxes(const double& dt,
const MeshType& mesh,
const DiscreteFunctionP0<Dimension, double>& rho,
const DiscreteFunctionP0<Dimension, Rd>& u,
const DiscreteFunctionP0<Dimension, double>& E,
const DiscreteFunctionP0<Dimension, Rdxd>& CG,
const NodeValue<const Rd>& ur,
const NodeValuePerCell<const Rd>& Fjr) const
{
const auto& cell_to_node_matrix = mesh.connectivity().cellToNodeMatrix();
if ((mesh.shared_connectivity() != ur.connectivity_ptr()) or
(mesh.shared_connectivity() != Fjr.connectivity_ptr())) {
throw NormalError("fluxes are not defined on the same connectivity than the mesh");
}
NodeValue<Rd> new_xr = copy(mesh.xr());
parallel_for(
mesh.numberOfNodes(), PUGS_LAMBDA(NodeId r) { new_xr[r] += dt * ur[r]; });
std::shared_ptr<const MeshType> new_mesh = std::make_shared<MeshType>(mesh.shared_connectivity(), new_xr);
CellValue<const double> Vj = MeshDataManager::instance().getMeshData(mesh).Vj();
const NodeValuePerCell<const Rd> Cjr = MeshDataManager::instance().getMeshData(mesh).Cjr();
CellValue<double> new_rho = copy(rho.cellValues());
CellValue<Rd> new_u = copy(u.cellValues());
CellValue<double> new_E = copy(E.cellValues());
CellValue<Rdxd> new_CG = copy(CG.cellValues());
parallel_for(
mesh.numberOfCells(), PUGS_LAMBDA(CellId j) {
const auto& cell_nodes = cell_to_node_matrix[j];
Rd momentum_fluxes = zero;
double energy_fluxes = 0;
Rdxd cauchy_green_fluxes = zero;
for (size_t R = 0; R < cell_nodes.size(); ++R) {
const NodeId r = cell_nodes[R];
const Rdxd gradv = tensorProduct(ur[r], Cjr(j, R));
momentum_fluxes += Fjr(j, R);
energy_fluxes += dot(Fjr(j, R), ur[r]);
cauchy_green_fluxes += gradv * CG[j] + CG[j] * transpose(gradv);
}
const double dt_over_Mj = dt / (rho[j] * Vj[j]);
new_u[j] += dt_over_Mj * momentum_fluxes;
new_E[j] += dt_over_Mj * energy_fluxes;
new_CG[j] += dt_over_Mj * cauchy_green_fluxes;
});
CellValue<const double> new_Vj = MeshDataManager::instance().getMeshData(*new_mesh).Vj();
parallel_for(
mesh.numberOfCells(), PUGS_LAMBDA(CellId j) { new_rho[j] *= Vj[j] / new_Vj[j]; });
return {new_mesh, std::make_shared<DiscreteScalarFunction>(new_mesh, new_rho),
std::make_shared<DiscreteVectorFunction>(new_mesh, new_u),
std::make_shared<DiscreteScalarFunction>(new_mesh, new_E),
std::make_shared<DiscreteTensorFunction>(new_mesh, new_CG)};
}
std::tuple<std::shared_ptr<const IMesh>,
std::shared_ptr<const IDiscreteFunction>,
std::shared_ptr<const IDiscreteFunction>,
std::shared_ptr<const IDiscreteFunction>,
std::shared_ptr<const IDiscreteFunction>>
apply_fluxes(const double& dt,
const std::shared_ptr<const IDiscreteFunction>& rho,
const std::shared_ptr<const IDiscreteFunction>& u,
const std::shared_ptr<const IDiscreteFunction>& E,
const std::shared_ptr<const IDiscreteFunction>& CG,
const std::shared_ptr<const ItemValueVariant>& ur,
const std::shared_ptr<const SubItemValuePerItemVariant>& Fjr) const
{
std::shared_ptr i_mesh = getCommonMesh({rho, u, E});
if (not i_mesh) {
throw NormalError("discrete functions are not defined on the same mesh");
}
if (not checkDiscretizationType({rho, u, E}, DiscreteFunctionType::P0)) {
throw NormalError("hyperelastic solver expects P0 functions");
}
return this->apply_fluxes(dt, //
dynamic_cast<const MeshType&>(*i_mesh), //
dynamic_cast<const DiscreteScalarFunction&>(*rho), //
dynamic_cast<const DiscreteVectorFunction&>(*u), //
dynamic_cast<const DiscreteScalarFunction&>(*E), //
dynamic_cast<const DiscreteTensorFunction&>(*CG), //
ur->get<NodeValue<const Rd>>(), //
Fjr->get<NodeValuePerCell<const Rd>>());
}
std::tuple<std::shared_ptr<const IMesh>,
std::shared_ptr<const IDiscreteFunction>,
std::shared_ptr<const IDiscreteFunction>,
std::shared_ptr<const IDiscreteFunction>,
std::shared_ptr<const IDiscreteFunction>>
apply(const SolverType& solver_type,
const double& dt,
const std::shared_ptr<const IDiscreteFunction>& rho,
const std::shared_ptr<const IDiscreteFunction>& u,
const std::shared_ptr<const IDiscreteFunction>& E,
const std::shared_ptr<const IDiscreteFunction>& CG,
const std::shared_ptr<const IDiscreteFunction>& aL,
const std::shared_ptr<const IDiscreteFunction>& aT,
const std::shared_ptr<const IDiscreteFunction>& sigma,
const std::vector<std::shared_ptr<const IBoundaryConditionDescriptor>>& bc_descriptor_list) const
{
auto [ur, Fjr] = compute_fluxes(solver_type, rho, aL, aT, u, sigma, bc_descriptor_list);
return apply_fluxes(dt, rho, u, E, CG, ur, Fjr);
}
HyperelasticSolver() = default;
HyperelasticSolver(HyperelasticSolver&&) = default;
~HyperelasticSolver() = default;
};
template <size_t Dimension>
void
HyperelasticSolverHandler::HyperelasticSolver<Dimension>::_applyPressureBC(const BoundaryConditionList& bc_list,
const MeshType& mesh,
NodeValue<Rd>& br) const
{
for (const auto& boundary_condition : bc_list) {
std::visit(
[&](auto&& bc) {
using T = std::decay_t<decltype(bc)>;
if constexpr (std::is_same_v<PressureBoundaryCondition, T>) {
MeshData<Dimension>& mesh_data = MeshDataManager::instance().getMeshData(mesh);
if constexpr (Dimension == 1) {
const NodeValuePerCell<const Rd> Cjr = mesh_data.Cjr();
const auto& node_to_cell_matrix = mesh.connectivity().nodeToCellMatrix();
const auto& node_local_numbers_in_their_cells = mesh.connectivity().nodeLocalNumbersInTheirCells();
const auto& node_list = bc.nodeList();
const auto& value_list = bc.valueList();
parallel_for(
node_list.size(), PUGS_LAMBDA(size_t i_node) {
const NodeId node_id = node_list[i_node];
const auto& node_cell_list = node_to_cell_matrix[node_id];
Assert(node_cell_list.size() == 1);
CellId node_cell_id = node_cell_list[0];
size_t node_local_number_in_cell = node_local_numbers_in_their_cells(node_id, 0);
br[node_id] -= value_list[i_node] * Cjr(node_cell_id, node_local_number_in_cell);
});
} else {
const NodeValuePerFace<const Rd> Nlr = mesh_data.Nlr();
const auto& face_to_cell_matrix = mesh.connectivity().faceToCellMatrix();
const auto& face_to_node_matrix = mesh.connectivity().faceToNodeMatrix();
const auto& face_local_numbers_in_their_cells = mesh.connectivity().faceLocalNumbersInTheirCells();
const auto& face_cell_is_reversed = mesh.connectivity().cellFaceIsReversed();
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];
const auto& face_cell_list = face_to_cell_matrix[face_id];
Assert(face_cell_list.size() == 1);
CellId face_cell_id = face_cell_list[0];
size_t face_local_number_in_cell = face_local_numbers_in_their_cells(face_id, 0);
const double sign = face_cell_is_reversed(face_cell_id, face_local_number_in_cell) ? -1 : 1;
const auto& face_nodes = face_to_node_matrix[face_id];
for (size_t i_node = 0; i_node < face_nodes.size(); ++i_node) {
NodeId node_id = face_nodes[i_node];
br[node_id] -= sign * value_list[i_face] * Nlr(face_id, i_node);
}
}
}
}
},
boundary_condition);
}
}
template <size_t Dimension>
void
HyperelasticSolverHandler::HyperelasticSolver<Dimension>::_applySymmetryBC(const BoundaryConditionList& bc_list,
NodeValue<Rdxd>& Ar,
NodeValue<Rd>& br) const
{
for (const auto& boundary_condition : bc_list) {
std::visit(
[&](auto&& bc) {
using T = std::decay_t<decltype(bc)>;
if constexpr (std::is_same_v<SymmetryBoundaryCondition, T>) {
const Rd& n = bc.outgoingNormal();
const Rdxd I = identity;
const Rdxd nxn = tensorProduct(n, n);
const Rdxd P = I - nxn;
const Array<const NodeId>& node_list = bc.nodeList();
parallel_for(
bc.numberOfNodes(), PUGS_LAMBDA(int r_number) {
const NodeId r = node_list[r_number];
Ar[r] = P * Ar[r] * P + nxn;
br[r] = P * br[r];
});
}
},
boundary_condition);
}
}
template <size_t Dimension>
void
HyperelasticSolverHandler::HyperelasticSolver<Dimension>::_applyVelocityBC(const BoundaryConditionList& bc_list,
NodeValue<Rdxd>& Ar,
NodeValue<Rd>& br) const
{
for (const auto& boundary_condition : bc_list) {
std::visit(
[&](auto&& bc) {
using T = std::decay_t<decltype(bc)>;
if constexpr (std::is_same_v<VelocityBoundaryCondition, T>) {
const auto& node_list = bc.nodeList();
const auto& value_list = bc.valueList();
parallel_for(
node_list.size(), PUGS_LAMBDA(size_t i_node) {
NodeId node_id = node_list[i_node];
const auto& value = value_list[i_node];
Ar[node_id] = identity;
br[node_id] = value;
});
} else if constexpr (std::is_same_v<FixedBoundaryCondition, T>) {
const auto& node_list = bc.nodeList();
parallel_for(
node_list.size(), PUGS_LAMBDA(size_t i_node) {
NodeId node_id = node_list[i_node];
Ar[node_id] = identity;
br[node_id] = zero;
});
}
},
boundary_condition);
}
}
template <size_t Dimension>
class HyperelasticSolverHandler::HyperelasticSolver<Dimension>::FixedBoundaryCondition
{
private:
const MeshNodeBoundary<Dimension> m_mesh_node_boundary;
public:
const Array<const NodeId>&
nodeList() const
{
return m_mesh_node_boundary.nodeList();
}
FixedBoundaryCondition(const MeshNodeBoundary<Dimension> mesh_node_boundary)
: m_mesh_node_boundary{mesh_node_boundary}
{}
~FixedBoundaryCondition() = default;
};
template <size_t Dimension>
class HyperelasticSolverHandler::HyperelasticSolver<Dimension>::PressureBoundaryCondition
{
private:
const MeshFaceBoundary<Dimension> m_mesh_face_boundary;
const Array<const double> m_value_list;
public:
const Array<const FaceId>&
faceList() const
{
return m_mesh_face_boundary.faceList();
}
const Array<const double>&
valueList() const
{
return m_value_list;
}
PressureBoundaryCondition(const MeshFaceBoundary<Dimension>& mesh_face_boundary,
const Array<const double>& value_list)
: m_mesh_face_boundary{mesh_face_boundary}, m_value_list{value_list}
{}
~PressureBoundaryCondition() = default;
};
template <>
class HyperelasticSolverHandler::HyperelasticSolver<1>::PressureBoundaryCondition
{
private:
const MeshNodeBoundary<1> m_mesh_node_boundary;
const Array<const double> m_value_list;
public:
const Array<const NodeId>&
nodeList() const
{
return m_mesh_node_boundary.nodeList();
}
const Array<const double>&
valueList() const
{
return m_value_list;
}
PressureBoundaryCondition(const MeshNodeBoundary<1>& mesh_node_boundary, const Array<const double>& value_list)
: m_mesh_node_boundary{mesh_node_boundary}, m_value_list{value_list}
{}
~PressureBoundaryCondition() = default;
};
template <size_t Dimension>
class HyperelasticSolverHandler::HyperelasticSolver<Dimension>::VelocityBoundaryCondition
{
private:
const MeshNodeBoundary<Dimension> m_mesh_node_boundary;
const Array<const TinyVector<Dimension>> m_value_list;
public:
const Array<const NodeId>&
nodeList() const
{
return m_mesh_node_boundary.nodeList();
}
const Array<const TinyVector<Dimension>>&
valueList() const
{
return m_value_list;
}
VelocityBoundaryCondition(const MeshNodeBoundary<Dimension>& mesh_node_boundary,
const Array<const TinyVector<Dimension>>& value_list)
: m_mesh_node_boundary{mesh_node_boundary}, m_value_list{value_list}
{}
~VelocityBoundaryCondition() = default;
};
template <size_t Dimension>
class HyperelasticSolverHandler::HyperelasticSolver<Dimension>::SymmetryBoundaryCondition
{
public:
using Rd = TinyVector<Dimension, double>;
private:
const MeshFlatNodeBoundary<Dimension> m_mesh_flat_node_boundary;
public:
const Rd&
outgoingNormal() const
{
return m_mesh_flat_node_boundary.outgoingNormal();
}
size_t
numberOfNodes() const
{
return m_mesh_flat_node_boundary.nodeList().size();
}
const Array<const NodeId>&
nodeList() const
{
return m_mesh_flat_node_boundary.nodeList();
}
SymmetryBoundaryCondition(const MeshFlatNodeBoundary<Dimension>& mesh_flat_node_boundary)
: m_mesh_flat_node_boundary(mesh_flat_node_boundary)
{
;
}
~SymmetryBoundaryCondition() = default;
};
HyperelasticSolverHandler::HyperelasticSolverHandler(const std::shared_ptr<const IMesh>& i_mesh)
{
if (not i_mesh) {
throw NormalError("discrete functions are not defined on the same mesh");
}
switch (i_mesh->dimension()) {
case 1: {
m_hyperelastic_solver = std::make_unique<HyperelasticSolver<1>>();
break;
}
case 2: {
m_hyperelastic_solver = std::make_unique<HyperelasticSolver<2>>();
break;
}
case 3: {
m_hyperelastic_solver = std::make_unique<HyperelasticSolver<3>>();
break;
}
default: {
throw UnexpectedError("invalid mesh dimension");
}
}
}
#ifndef HYPERELASTIC_SOLVER_HPP
#define HYPERELASTIC_SOLVER_HPP
#include <memory>
#include <tuple>
#include <vector>
class IDiscreteFunction;
class IBoundaryConditionDescriptor;
class IMesh;
class ItemValueVariant;
class SubItemValuePerItemVariant;
double hyperelastic_dt(const std::shared_ptr<const IDiscreteFunction>& c);
class HyperelasticSolverHandler
{
public:
enum class SolverType
{
Glace,
Eucclhyd
};
private:
struct IHyperelasticSolver
{
virtual std::tuple<const std::shared_ptr<const ItemValueVariant>,
const std::shared_ptr<const SubItemValuePerItemVariant>>
compute_fluxes(
const SolverType& solver_type,
const std::shared_ptr<const IDiscreteFunction>& rho,
const std::shared_ptr<const IDiscreteFunction>& aL,
const std::shared_ptr<const IDiscreteFunction>& aT,
const std::shared_ptr<const IDiscreteFunction>& u,
const std::shared_ptr<const IDiscreteFunction>& sigma,
const std::vector<std::shared_ptr<const IBoundaryConditionDescriptor>>& bc_descriptor_list) const = 0;
virtual std::tuple<std::shared_ptr<const IMesh>,
std::shared_ptr<const IDiscreteFunction>,
std::shared_ptr<const IDiscreteFunction>,
std::shared_ptr<const IDiscreteFunction>,
std::shared_ptr<const IDiscreteFunction>>
apply_fluxes(const double& dt,
const std::shared_ptr<const IDiscreteFunction>& rho,
const std::shared_ptr<const IDiscreteFunction>& u,
const std::shared_ptr<const IDiscreteFunction>& E,
const std::shared_ptr<const IDiscreteFunction>& CG,
const std::shared_ptr<const ItemValueVariant>& ur,
const std::shared_ptr<const SubItemValuePerItemVariant>& Fjr) const = 0;
virtual std::tuple<std::shared_ptr<const IMesh>,
std::shared_ptr<const IDiscreteFunction>,
std::shared_ptr<const IDiscreteFunction>,
std::shared_ptr<const IDiscreteFunction>,
std::shared_ptr<const IDiscreteFunction>>
apply(const SolverType& solver_type,
const double& dt,
const std::shared_ptr<const IDiscreteFunction>& rho,
const std::shared_ptr<const IDiscreteFunction>& u,
const std::shared_ptr<const IDiscreteFunction>& E,
const std::shared_ptr<const IDiscreteFunction>& CG,
const std::shared_ptr<const IDiscreteFunction>& aL,
const std::shared_ptr<const IDiscreteFunction>& aT,
const std::shared_ptr<const IDiscreteFunction>& p,
const std::vector<std::shared_ptr<const IBoundaryConditionDescriptor>>& bc_descriptor_list) const = 0;
IHyperelasticSolver() = default;
IHyperelasticSolver(IHyperelasticSolver&&) = default;
IHyperelasticSolver& operator=(IHyperelasticSolver&&) = default;
virtual ~IHyperelasticSolver() = default;
};
template <size_t Dimension>
class HyperelasticSolver;
std::unique_ptr<IHyperelasticSolver> m_hyperelastic_solver;
public:
const IHyperelasticSolver&
solver() const
{
return *m_hyperelastic_solver;
}
HyperelasticSolverHandler(const std::shared_ptr<const IMesh>& mesh);
};
#endif // HYPERELASTIC_SOLVER_HPP
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