ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim > Class Template Reference

Detailed Description

template<typename ShapeFunction, int GlobalDim>
class ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >

Definition at line 49 of file HeatConductionFEM.h.

#include <HeatConductionFEM.h>

Inheritance diagram for ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >:

Collaboration diagram for ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >:

Public Member Functions
	LocalAssemblerData (MeshLib::Element const &element, std::size_t const local_matrix_size, NumLib::GenericIntegrationMethod const &integration_method, bool is_axially_symmetric, HeatConductionProcessData const &process_data)
void	assemble (double const t, double const dt, std::vector< double > const &local_x, std::vector< double > const &, std::vector< double > &local_M_data, std::vector< double > &local_K_data, std::vector< double > &) override
void	assembleWithJacobian (double const t, double const dt, std::vector< double > const &local_x, std::vector< double > const &local_x_prev, std::vector< double > &local_rhs_data, std::vector< double > &local_Jac_data) override
Eigen::Map< const Eigen::RowVectorXd >	getShapeMatrix (const unsigned integration_point) const override
	Provides the shape matrix at the given integration point.
std::vector< double > const &	getIntPtHeatFlux (const double t, std::vector< GlobalVector * > const &x, std::vector< NumLib::LocalToGlobalIndexMap const * > const &dof_table, std::vector< double > &cache) const override
Public Member Functions inherited from ProcessLib::LocalAssemblerInterface
virtual	~LocalAssemblerInterface ()=default
virtual void	setInitialConditions (std::size_t const mesh_item_id, std::vector< NumLib::LocalToGlobalIndexMap const * > const &dof_tables, std::vector< GlobalVector * > const &x, double const t, int const process_id)
virtual void	initialize (std::size_t const mesh_item_id, NumLib::LocalToGlobalIndexMap const &dof_table)
virtual void	preAssemble (double const, double const, std::vector< double > const &)
virtual void	assembleForStaggeredScheme (double const t, double const dt, Eigen::VectorXd const &local_x, Eigen::VectorXd const &local_x_prev, int const process_id, std::vector< double > &local_M_data, std::vector< double > &local_K_data, std::vector< double > &local_b_data)
virtual void	assembleWithJacobianForStaggeredScheme (double const t, double const dt, Eigen::VectorXd const &local_x, Eigen::VectorXd const &local_x_prev, int const process_id, std::vector< double > &local_b_data, std::vector< double > &local_Jac_data)
virtual void	computeSecondaryVariable (std::size_t const mesh_item_id, std::vector< NumLib::LocalToGlobalIndexMap const * > const &dof_tables, double const t, double const dt, std::vector< GlobalVector * > const &x, GlobalVector const &x_prev, int const process_id)
virtual void	preTimestep (std::size_t const mesh_item_id, NumLib::LocalToGlobalIndexMap const &dof_table, GlobalVector const &x, double const t, double const delta_t)
virtual void	postTimestep (std::size_t const mesh_item_id, std::vector< NumLib::LocalToGlobalIndexMap const * > const &dof_tables, std::vector< GlobalVector * > const &x, std::vector< GlobalVector * > const &x_prev, double const t, double const dt, int const process_id)
void	postNonLinearSolver (std::size_t const mesh_item_id, std::vector< NumLib::LocalToGlobalIndexMap const * > const &dof_tables, std::vector< GlobalVector * > const &x, std::vector< GlobalVector * > const &x_prev, double const t, double const dt, int const process_id)
virtual Eigen::Vector3d	getFlux (MathLib::Point3d const &, double const, std::vector< double > const &) const
virtual Eigen::Vector3d	getFlux (MathLib::Point3d const &, double const, std::vector< std::vector< double > > const &) const
	Fits to staggered scheme.
virtual std::optional< VectorSegment >	getVectorDeformationSegment () const
Public Member Functions inherited from NumLib::ExtrapolatableElement
virtual	~ExtrapolatableElement ()=default

Private Types
using	ShapeMatricesType = ShapeMatrixPolicyType<ShapeFunction, GlobalDim>
using	ShapeMatrices = typename ShapeMatricesType::ShapeMatrices
using	LocalAssemblerTraits
using	NodalMatrixType = typename LocalAssemblerTraits::LocalMatrix
using	NodalVectorType = typename LocalAssemblerTraits::LocalVector
using	GlobalDimVectorType = typename ShapeMatricesType::GlobalDimVectorType

Private Attributes
MeshLib::Element const &	_element
HeatConductionProcessData const &	_process_data
NumLib::GenericIntegrationMethod const &	_integration_method
std::vector< ShapeMatrices, Eigen::aligned_allocator< ShapeMatrices > >	_shape_matrices

Member Typedef Documentation

GlobalDimVectorType

template<typename ShapeFunction , int GlobalDim>

using ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::GlobalDimVectorType = typename ShapeMatricesType::GlobalDimVectorType

private

Definition at line 59 of file HeatConductionFEM.h.

LocalAssemblerTraits

template<typename ShapeFunction , int GlobalDim>

using ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::LocalAssemblerTraits

private

Initial value:

 ProcessLib::LocalAssemblerTraits<
        ShapeMatricesType, ShapeFunction::NPOINTS, NUM_NODAL_DOF, GlobalDim>

Definition at line 54 of file HeatConductionFEM.h.

NodalMatrixType

template<typename ShapeFunction , int GlobalDim>

using ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::NodalMatrixType = typename LocalAssemblerTraits::LocalMatrix

private

Definition at line 57 of file HeatConductionFEM.h.

NodalVectorType

template<typename ShapeFunction , int GlobalDim>

using ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::NodalVectorType = typename LocalAssemblerTraits::LocalVector

private

Definition at line 58 of file HeatConductionFEM.h.

ShapeMatrices

template<typename ShapeFunction , int GlobalDim>

using ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::ShapeMatrices = typename ShapeMatricesType::ShapeMatrices

private

Definition at line 52 of file HeatConductionFEM.h.

ShapeMatricesType

template<typename ShapeFunction , int GlobalDim>

using ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::ShapeMatricesType = ShapeMatrixPolicyType<ShapeFunction, GlobalDim>

private

Definition at line 51 of file HeatConductionFEM.h.

Constructor & Destructor Documentation

LocalAssemblerData()

template<typename ShapeFunction , int GlobalDim>

ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::LocalAssemblerData ( MeshLib::Element const & element, std::size_t const local_matrix_size, NumLib::GenericIntegrationMethod const & integration_method, bool is_axially_symmetric, HeatConductionProcessData const & process_data )

inline

The thermal_conductivity factor is directly integrated into the local element matrix.

Definition at line 64 of file HeatConductionFEM.h.

        : _element(element),
          _process_data(process_data),
          _integration_method(integration_method),
          _shape_matrices(
              NumLib::initShapeMatrices<ShapeFunction, ShapeMatricesType,
                                        GlobalDim>(
                  element, is_axially_symmetric, _integration_method))
    {
        // This assertion is valid only if all nodal d.o.f. use the same shape
        // matrices.
        assert(local_matrix_size == ShapeFunction::NPOINTS * NUM_NODAL_DOF);
        (void)local_matrix_size;
    }

References ProcessLib::HeatConduction::NUM_NODAL_DOF.

Member Function Documentation

assemble()

template<typename ShapeFunction , int GlobalDim>

void ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::assemble ( double const t, double const dt, std::vector< double > const & local_x, std::vector< double > const & , std::vector< double > & local_M_data, std::vector< double > & local_K_data, std::vector< double > &  )

inlineoverridevirtual

Reimplemented from ProcessLib::LocalAssemblerInterface.

Definition at line 84 of file HeatConductionFEM.h.

    {
        auto const local_matrix_size = local_x.size();
        // This assertion is valid only if all nodal d.o.f. use the same shape
        // matrices.
        assert(local_matrix_size == ShapeFunction::NPOINTS * NUM_NODAL_DOF);
 
        auto local_M = MathLib::createZeroedMatrix<NodalMatrixType>(
            local_M_data, local_matrix_size, local_matrix_size);
        auto local_K = MathLib::createZeroedMatrix<NodalMatrixType>(
            local_K_data, local_matrix_size, local_matrix_size);
 
        unsigned const n_integration_points =
            _integration_method.getNumberOfPoints();
 
        auto const& medium =
            *_process_data.media_map.getMedium(_element.getID());
        MaterialPropertyLib::VariableArray vars;
 
        for (unsigned ip = 0; ip < n_integration_points; ip++)
        {
            auto const& sm = _shape_matrices[ip];
            ParameterLib::SpatialPosition const pos{
                std::nullopt, _element.getID(),
                MathLib::Point3d(
                    NumLib::interpolateCoordinates<ShapeFunction,
                                                   ShapeMatricesType>(_element,
                                                                      sm.N))};
 
            auto const& wp = _integration_method.getWeightedPoint(ip);
 
            // get the local temperature and put it in the variable array for
            // access in MPL
            double T_int_pt = 0.0;
            NumLib::shapeFunctionInterpolate(local_x, sm.N, T_int_pt);
            vars.temperature = T_int_pt;
 
            auto const k = MaterialPropertyLib::formEigenTensor<GlobalDim>(
                medium
                    .property(
                        MaterialPropertyLib::PropertyType::thermal_conductivity)
                    .value(vars, pos, t, dt));
            auto const specific_heat_capacity =
                medium
                    .property(MaterialPropertyLib::PropertyType::
                                  specific_heat_capacity)
                    .template value<double>(vars, pos, t, dt);
            auto const density =
                medium.property(MaterialPropertyLib::PropertyType::density)
                    .template value<double>(vars, pos, t, dt);
 
            local_K.noalias() += sm.dNdx.transpose() * k * sm.dNdx * sm.detJ *
                                 wp.getWeight() * sm.integralMeasure;
            local_M.noalias() += sm.N.transpose() * density *
                                 specific_heat_capacity * sm.N * sm.detJ *
                                 wp.getWeight() * sm.integralMeasure;
        }
        if (_process_data.mass_lumping)
        {
            local_M = local_M.colwise().sum().eval().asDiagonal();
        }
    }

References ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::_element, ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::_integration_method, ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::_process_data, ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::_shape_matrices, MathLib::createZeroedMatrix(), MaterialPropertyLib::density, MaterialPropertyLib::formEigenTensor(), MeshLib::Element::getID(), MaterialPropertyLib::MaterialSpatialDistributionMap::getMedium(), NumLib::GenericIntegrationMethod::getNumberOfPoints(), NumLib::GenericIntegrationMethod::getWeightedPoint(), NumLib::interpolateCoordinates(), ProcessLib::HeatConduction::HeatConductionProcessData::mass_lumping, ProcessLib::HeatConduction::HeatConductionProcessData::media_map, ProcessLib::HeatConduction::NUM_NODAL_DOF, NumLib::detail::shapeFunctionInterpolate(), MaterialPropertyLib::VariableArray::temperature, and MaterialPropertyLib::thermal_conductivity.

assembleWithJacobian()

template<typename ShapeFunction , int GlobalDim>

void ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::assembleWithJacobian ( double const t, double const dt, std::vector< double > const & local_x, std::vector< double > const & local_x_prev, std::vector< double > & local_rhs_data, std::vector< double > & local_Jac_data )

inlineoverridevirtual

Reimplemented from ProcessLib::LocalAssemblerInterface.

Definition at line 152 of file HeatConductionFEM.h.

    {
        auto const local_matrix_size = local_x.size();
        // This assertion is valid only if all nodal d.o.f. use the same shape
        // matrices.
        assert(local_matrix_size == ShapeFunction::NPOINTS * NUM_NODAL_DOF);
 
        auto x = Eigen::Map<NodalVectorType const>(local_x.data(),
                                                   local_matrix_size);
 
        auto x_prev = Eigen::Map<NodalVectorType const>(local_x_prev.data(),
                                                        local_matrix_size);
 
        auto local_Jac = MathLib::createZeroedMatrix<NodalMatrixType>(
            local_Jac_data, local_matrix_size, local_matrix_size);
        auto local_rhs = MathLib::createZeroedVector<NodalVectorType>(
            local_rhs_data, local_matrix_size);
 
        NodalMatrixType laplace =
            NodalMatrixType::Zero(local_matrix_size, local_matrix_size);
        NodalMatrixType storage =
            NodalMatrixType::Zero(local_matrix_size, local_matrix_size);
 
        unsigned const n_integration_points =
            _integration_method.getNumberOfPoints();
 
        ParameterLib::SpatialPosition pos;
        pos.setElementID(_element.getID());
 
        auto const& medium =
            *_process_data.media_map.getMedium(_element.getID());
        MaterialPropertyLib::VariableArray vars;
 
        for (unsigned ip = 0; ip < n_integration_points; ip++)
        {
            auto const& sm = _shape_matrices[ip];
            double const w =
                _integration_method.getWeightedPoint(ip).getWeight() * sm.detJ *
                sm.integralMeasure;
 
            // get the local temperature and put it in the variable array for
            // access in MPL
            double T_int_pt = 0.0;
            NumLib::shapeFunctionInterpolate(local_x, sm.N, T_int_pt);
            vars.temperature = T_int_pt;
 
            auto const k = MaterialPropertyLib::formEigenTensor<GlobalDim>(
                medium
                    .property(
                        MaterialPropertyLib::PropertyType::thermal_conductivity)
                    .value(vars, pos, t, dt));
            auto const specific_heat_capacity =
                medium
                    .property(MaterialPropertyLib::PropertyType::
                                  specific_heat_capacity)
                    .template value<double>(vars, pos, t, dt);
            auto const density =
                medium.property(MaterialPropertyLib::PropertyType::density)
                    .template value<double>(vars, pos, t, dt);
 
            laplace.noalias() += sm.dNdx.transpose() * k * sm.dNdx * w;
            storage.noalias() +=
                sm.N.transpose() * density * specific_heat_capacity * sm.N * w;
        }
        if (_process_data.mass_lumping)
        {
            storage = storage.colwise().sum().eval().asDiagonal();
        }
 
        local_Jac.noalias() += laplace + storage / dt;
        local_rhs.noalias() -= laplace * x + storage * (x - x_prev) / dt;
    }

References ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::_element, ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::_integration_method, ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::_process_data, ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::_shape_matrices, MathLib::createZeroedMatrix(), MathLib::createZeroedVector(), MaterialPropertyLib::density, MaterialPropertyLib::formEigenTensor(), MeshLib::Element::getID(), MaterialPropertyLib::MaterialSpatialDistributionMap::getMedium(), NumLib::GenericIntegrationMethod::getNumberOfPoints(), MathLib::WeightedPoint::getWeight(), NumLib::GenericIntegrationMethod::getWeightedPoint(), ProcessLib::HeatConduction::HeatConductionProcessData::mass_lumping, ProcessLib::HeatConduction::HeatConductionProcessData::media_map, ProcessLib::HeatConduction::NUM_NODAL_DOF, ParameterLib::SpatialPosition::setElementID(), NumLib::detail::shapeFunctionInterpolate(), MaterialPropertyLib::VariableArray::temperature, and MaterialPropertyLib::thermal_conductivity.

getIntPtHeatFlux()

template<typename ShapeFunction , int GlobalDim>

std::vector< double > const & ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::getIntPtHeatFlux ( const double t, std::vector< GlobalVector * > const & x, std::vector< NumLib::LocalToGlobalIndexMap const * > const & dof_table, std::vector< double > & cache ) const

inlineoverridevirtual

Implements ProcessLib::HeatConduction::HeatConductionLocalAssemblerInterface.

Definition at line 238 of file HeatConductionFEM.h.

    {
        int const process_id = 0;  // monolithic case.
        auto const indices =
            NumLib::getIndices(_element.getID(), *dof_table[process_id]);
        assert(!indices.empty());
        auto const& local_x = x[process_id]->get(indices);
 
        auto const T_nodal_values = Eigen::Map<const NodalVectorType>(
            local_x.data(), ShapeFunction::NPOINTS);
 
        unsigned const n_integration_points =
            _integration_method.getNumberOfPoints();
 
        ParameterLib::SpatialPosition pos;
        pos.setElementID(_element.getID());
 
        auto const& medium =
            *_process_data.media_map.getMedium(_element.getID());
        MaterialPropertyLib::VariableArray vars;
 
        double const dt = std::numeric_limits<double>::quiet_NaN();
        cache.clear();
        auto cache_mat = MathLib::createZeroedMatrix<
            Eigen::Matrix<double, GlobalDim, Eigen::Dynamic, Eigen::RowMajor>>(
            cache, GlobalDim, n_integration_points);
 
        for (unsigned ip = 0; ip < n_integration_points; ip++)
        {
            auto const& sm = _shape_matrices[ip];
            // get the local temperature and put it in the variable array for
            // access in MPL
            vars.temperature = sm.N.dot(T_nodal_values);
 
            auto const k = MaterialPropertyLib::formEigenTensor<GlobalDim>(
                medium
                    .property(
                        MaterialPropertyLib::PropertyType::thermal_conductivity)
                    .value(vars, pos, t, dt));
 
            // heat flux only computed for output.
            cache_mat.col(ip).noalias() = -k * sm.dNdx * T_nodal_values;
        }
 
        return cache;
    }

References ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::_element, ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::_integration_method, ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::_process_data, ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::_shape_matrices, MathLib::createZeroedMatrix(), MaterialPropertyLib::formEigenTensor(), MeshLib::Element::getID(), NumLib::getIndices(), MaterialPropertyLib::MaterialSpatialDistributionMap::getMedium(), NumLib::GenericIntegrationMethod::getNumberOfPoints(), ProcessLib::HeatConduction::HeatConductionProcessData::media_map, ParameterLib::SpatialPosition::setElementID(), MaterialPropertyLib::VariableArray::temperature, and MaterialPropertyLib::thermal_conductivity.

getShapeMatrix()

template<typename ShapeFunction , int GlobalDim>

Eigen::Map< const Eigen::RowVectorXd > ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::getShapeMatrix ( const unsigned integration_point ) const

inlineoverridevirtual

Provides the shape matrix at the given integration point.

Implements NumLib::ExtrapolatableElement.

Definition at line 229 of file HeatConductionFEM.h.

    {
        auto const& N = _shape_matrices[integration_point].N;
 
        // assumes N is stored contiguously in memory
        return Eigen::Map<const Eigen::RowVectorXd>(N.data(), N.size());
    }

References ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::_shape_matrices.

Member Data Documentation

_element

template<typename ShapeFunction , int GlobalDim>

MeshLib::Element const& ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::_element

private

Definition at line 290 of file HeatConductionFEM.h.

Referenced by ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::assemble(), ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::assembleWithJacobian(), and ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::getIntPtHeatFlux().

_integration_method

template<typename ShapeFunction , int GlobalDim>

NumLib::GenericIntegrationMethod const& ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::_integration_method

private

Definition at line 293 of file HeatConductionFEM.h.

Referenced by ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::assemble(), ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::assembleWithJacobian(), and ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::getIntPtHeatFlux().

_process_data

template<typename ShapeFunction , int GlobalDim>

HeatConductionProcessData const& ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::_process_data

private

Definition at line 291 of file HeatConductionFEM.h.

Referenced by ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::assemble(), ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::assembleWithJacobian(), and ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::getIntPtHeatFlux().

_shape_matrices

template<typename ShapeFunction , int GlobalDim>

std::vector<ShapeMatrices, Eigen::aligned_allocator<ShapeMatrices> > ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::_shape_matrices

private

Definition at line 295 of file HeatConductionFEM.h.

Referenced by ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::assemble(), ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::assembleWithJacobian(), ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::getIntPtHeatFlux(), and ProcessLib::HeatConduction::LocalAssemblerData< ShapeFunction, GlobalDim >::getShapeMatrix().

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The documentation for this class was generated from the following file:

• ProcessLib/HeatConduction/HeatConductionFEM.h