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

Detailed Description

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

Definition at line 50 of file SteadyStateDiffusionFEM.h.

#include <SteadyStateDiffusionFEM.h>

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

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

Public Member Functions
	LocalAssemblerData (MeshLib::Element const &element, std::size_t const, NumLib::GenericIntegrationMethod const &integration_method, bool const is_axially_symmetric, SteadyStateDiffusionData const &process_data)
void	assemble (double const t, double const dt, std::vector< double > const &local_x, std::vector< double > const &, std::vector< double > &, std::vector< double > &local_K_data, std::vector< double > &) override
Eigen::Vector3d	getFlux (MathLib::Point3d const &p_local_coords, double const t, std::vector< double > const &local_x) const 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 &	getIntPtDarcyVelocity (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	assembleWithJacobian (double const t, double const dt, std::vector< double > const &local_x, std::vector< double > const &local_x_prev, std::vector< double > &local_M_data, std::vector< double > &local_K_data, std::vector< double > &local_b_data, std::vector< double > &local_Jac_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_M_data, std::vector< double > &local_K_data, 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< std::vector< double > > const &) const
	Fits to staggered scheme.
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
SteadyStateDiffusionData 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::SteadyStateDiffusion::LocalAssemblerData< ShapeFunction, GlobalDim >::GlobalDimVectorType = typename ShapeMatricesType::GlobalDimVectorType

private

Definition at line 60 of file SteadyStateDiffusionFEM.h.

LocalAssemblerTraits

template<typename ShapeFunction , int GlobalDim>

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

private

Initial value:

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

Definition at line 55 of file SteadyStateDiffusionFEM.h.

NodalMatrixType

template<typename ShapeFunction , int GlobalDim>

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

private

Definition at line 58 of file SteadyStateDiffusionFEM.h.

NodalVectorType

template<typename ShapeFunction , int GlobalDim>

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

private

Definition at line 59 of file SteadyStateDiffusionFEM.h.

ShapeMatrices

template<typename ShapeFunction , int GlobalDim>

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

private

Definition at line 53 of file SteadyStateDiffusionFEM.h.

ShapeMatricesType

template<typename ShapeFunction , int GlobalDim>

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

private

Definition at line 52 of file SteadyStateDiffusionFEM.h.

Constructor & Destructor Documentation

LocalAssemblerData()

template<typename ShapeFunction , int GlobalDim>

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

inline

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

Definition at line 65 of file SteadyStateDiffusionFEM.h.

        : _element(element),
          _process_data(process_data),
          _integration_method(integration_method),
          _shape_matrices(
              NumLib::initShapeMatrices<ShapeFunction, ShapeMatricesType,
                                        GlobalDim>(
                  element, is_axially_symmetric, _integration_method))
    {
    }

Member Function Documentation

assemble()

template<typename ShapeFunction , int GlobalDim>

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

inlineoverridevirtual

Reimplemented from ProcessLib::LocalAssemblerInterface.

Definition at line 81 of file SteadyStateDiffusionFEM.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_K = MathLib::createZeroedMatrix<NodalMatrixType>(
            local_K_data, 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;
        vars.temperature =
            medium
                .property(
                    MaterialPropertyLib::PropertyType::reference_temperature)
                .template value<double>(vars, pos, t, dt);
 
        for (unsigned ip = 0; ip < n_integration_points; ip++)
        {
            pos.setIntegrationPoint(ip);
            auto const& sm = _shape_matrices[ip];
            auto const& wp = _integration_method.getWeightedPoint(ip);
 
            double p_int_pt = 0.0;
            NumLib::shapeFunctionInterpolate(local_x, sm.N, p_int_pt);
            vars.liquid_phase_pressure = p_int_pt;
            auto const k = MaterialPropertyLib::formEigenTensor<GlobalDim>(
                medium.property(MaterialPropertyLib::PropertyType::diffusion)
                    .value(vars, pos, t, dt));
 
            local_K.noalias() += sm.dNdx.transpose() * k * sm.dNdx * sm.detJ *
                                 sm.integralMeasure * wp.getWeight();
        }
    }

References ProcessLib::SteadyStateDiffusion::LocalAssemblerData< ShapeFunction, GlobalDim >::_element, ProcessLib::SteadyStateDiffusion::LocalAssemblerData< ShapeFunction, GlobalDim >::_integration_method, ProcessLib::SteadyStateDiffusion::LocalAssemblerData< ShapeFunction, GlobalDim >::_process_data, ProcessLib::SteadyStateDiffusion::LocalAssemblerData< ShapeFunction, GlobalDim >::_shape_matrices, MaterialPropertyLib::diffusion, MeshLib::Element::getID(), MaterialPropertyLib::MaterialSpatialDistributionMap::getMedium(), NumLib::GenericIntegrationMethod::getNumberOfPoints(), NumLib::GenericIntegrationMethod::getWeightedPoint(), MaterialPropertyLib::VariableArray::liquid_phase_pressure, ProcessLib::SteadyStateDiffusion::SteadyStateDiffusionData::media_map, ProcessLib::SteadyStateDiffusion::NUM_NODAL_DOF, MaterialPropertyLib::reference_temperature, ParameterLib::SpatialPosition::setElementID(), ParameterLib::SpatialPosition::setIntegrationPoint(), NumLib::detail::shapeFunctionInterpolate(), and MaterialPropertyLib::VariableArray::temperature.

getFlux()

template<typename ShapeFunction , int GlobalDim>

Eigen::Vector3d ProcessLib::SteadyStateDiffusion::LocalAssemblerData< ShapeFunction, GlobalDim >::getFlux ( MathLib::Point3d const & p_local_coords, double const t, std::vector< double > const & local_x ) const

inlineoverridevirtual

Computes the flux in the point p_local_coords that is given in local coordinates using the values from local_x.

Reimplemented from ProcessLib::LocalAssemblerInterface.

Definition at line 131 of file SteadyStateDiffusionFEM.h.

    {
        // TODO (tf) Temporary value not used by current material models. Need
        // extension of getFlux interface
        double const dt = std::numeric_limits<double>::quiet_NaN();
 
        // Eval shape matrices at given point
        // Note: Axial symmetry is set to false here, because we only need dNdx
        // here, which is not affected by axial symmetry.
        auto const shape_matrices =
            NumLib::computeShapeMatrices<ShapeFunction, ShapeMatricesType,
                                         GlobalDim>(
                _element, false /*is_axially_symmetric*/,
                std::array{p_local_coords})[0];
 
        // fetch hydraulic conductivity
        ParameterLib::SpatialPosition pos;
        pos.setElementID(_element.getID());
        auto const& medium =
            *_process_data.media_map.getMedium(_element.getID());
 
        MaterialPropertyLib::VariableArray vars;
        vars.temperature =
            medium
                .property(
                    MaterialPropertyLib::PropertyType::reference_temperature)
                .template value<double>(vars, pos, t, dt);
        double pressure = 0.0;
        NumLib::shapeFunctionInterpolate(local_x, shape_matrices.N, pressure);
        vars.liquid_phase_pressure = pressure;
 
        auto const k = MaterialPropertyLib::formEigenTensor<GlobalDim>(
            medium.property(MaterialPropertyLib::PropertyType::diffusion)
                .value(vars, pos, t, dt));
 
        Eigen::Vector3d flux(0.0, 0.0, 0.0);
        flux.head<GlobalDim>() =
            -k * shape_matrices.dNdx *
            Eigen::Map<const NodalVectorType>(local_x.data(), local_x.size());
 
        return flux;
    }

References ProcessLib::SteadyStateDiffusion::LocalAssemblerData< ShapeFunction, GlobalDim >::_element, ProcessLib::SteadyStateDiffusion::LocalAssemblerData< ShapeFunction, GlobalDim >::_process_data, NumLib::computeShapeMatrices(), MaterialPropertyLib::diffusion, MeshLib::Element::getID(), MaterialPropertyLib::MaterialSpatialDistributionMap::getMedium(), MaterialPropertyLib::VariableArray::liquid_phase_pressure, ProcessLib::SteadyStateDiffusion::SteadyStateDiffusionData::media_map, MaterialPropertyLib::reference_temperature, ParameterLib::SpatialPosition::setElementID(), NumLib::detail::shapeFunctionInterpolate(), and MaterialPropertyLib::VariableArray::temperature.

getIntPtDarcyVelocity()

template<typename ShapeFunction , int GlobalDim>

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

inlineoverridevirtual

Implements ProcessLib::SteadyStateDiffusion::SteadyStateDiffusionLocalAssemblerInterface.

Definition at line 185 of file SteadyStateDiffusionFEM.h.

    {
        // TODO (tf) Temporary value not used by current material models. Need
        // extension of secondary variable interface.
        double const dt = std::numeric_limits<double>::quiet_NaN();
 
        auto const n_integration_points =
            _integration_method.getNumberOfPoints();
 
        int const process_id = 0;  // monolithic scheme
        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 local_x_vec =
            MathLib::toVector<Eigen::Matrix<double, ShapeFunction::NPOINTS, 1>>(
                local_x, ShapeFunction::NPOINTS);
 
        cache.clear();
        auto cache_mat = MathLib::createZeroedMatrix<
            Eigen::Matrix<double, GlobalDim, Eigen::Dynamic, Eigen::RowMajor>>(
            cache, GlobalDim, n_integration_points);
 
        ParameterLib::SpatialPosition pos;
        pos.setElementID(_element.getID());
 
        auto const& medium =
            *_process_data.media_map.getMedium(_element.getID());
 
        MaterialPropertyLib::VariableArray vars;
        vars.temperature =
            medium
                .property(
                    MaterialPropertyLib::PropertyType::reference_temperature)
                .template value<double>(vars, pos, t, dt);
        double pressure = 0.0;
        for (unsigned i = 0; i < n_integration_points; ++i)
        {
            pos.setIntegrationPoint(i);
            NumLib::shapeFunctionInterpolate(local_x, _shape_matrices[i].N,
                                             pressure);
            vars.liquid_phase_pressure = pressure;
 
            auto const k = MaterialPropertyLib::formEigenTensor<GlobalDim>(
                medium.property(MaterialPropertyLib::PropertyType::diffusion)
                    .value(vars, pos, t, dt));
            // dimensions: (d x 1) = (d x n) * (n x 1)
            cache_mat.col(i).noalias() =
                -k * _shape_matrices[i].dNdx * local_x_vec;
        }
 
        return cache;
    }

References ProcessLib::SteadyStateDiffusion::LocalAssemblerData< ShapeFunction, GlobalDim >::_element, ProcessLib::SteadyStateDiffusion::LocalAssemblerData< ShapeFunction, GlobalDim >::_integration_method, ProcessLib::SteadyStateDiffusion::LocalAssemblerData< ShapeFunction, GlobalDim >::_process_data, ProcessLib::SteadyStateDiffusion::LocalAssemblerData< ShapeFunction, GlobalDim >::_shape_matrices, MathLib::createZeroedMatrix(), MaterialPropertyLib::diffusion, MeshLib::Element::getID(), NumLib::getIndices(), MaterialPropertyLib::MaterialSpatialDistributionMap::getMedium(), NumLib::GenericIntegrationMethod::getNumberOfPoints(), MaterialPropertyLib::VariableArray::liquid_phase_pressure, ProcessLib::SteadyStateDiffusion::SteadyStateDiffusionData::media_map, MaterialPropertyLib::reference_temperature, ParameterLib::SpatialPosition::setElementID(), NumLib::detail::shapeFunctionInterpolate(), and MaterialPropertyLib::VariableArray::temperature.

getShapeMatrix()

template<typename ShapeFunction , int GlobalDim>

Eigen::Map< const Eigen::RowVectorXd > ProcessLib::SteadyStateDiffusion::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 176 of file SteadyStateDiffusionFEM.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::SteadyStateDiffusion::LocalAssemblerData< ShapeFunction, GlobalDim >::_shape_matrices.

Member Data Documentation

_element

template<typename ShapeFunction , int GlobalDim>

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

private

Definition at line 244 of file SteadyStateDiffusionFEM.h.

Referenced by ProcessLib::SteadyStateDiffusion::LocalAssemblerData< ShapeFunction, GlobalDim >::assemble(), ProcessLib::SteadyStateDiffusion::LocalAssemblerData< ShapeFunction, GlobalDim >::getFlux(), and ProcessLib::SteadyStateDiffusion::LocalAssemblerData< ShapeFunction, GlobalDim >::getIntPtDarcyVelocity().

_integration_method

template<typename ShapeFunction , int GlobalDim>

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

private

Definition at line 247 of file SteadyStateDiffusionFEM.h.

Referenced by ProcessLib::SteadyStateDiffusion::LocalAssemblerData< ShapeFunction, GlobalDim >::assemble(), and ProcessLib::SteadyStateDiffusion::LocalAssemblerData< ShapeFunction, GlobalDim >::getIntPtDarcyVelocity().

_process_data

template<typename ShapeFunction , int GlobalDim>

SteadyStateDiffusionData const& ProcessLib::SteadyStateDiffusion::LocalAssemblerData< ShapeFunction, GlobalDim >::_process_data

private

Definition at line 245 of file SteadyStateDiffusionFEM.h.

Referenced by ProcessLib::SteadyStateDiffusion::LocalAssemblerData< ShapeFunction, GlobalDim >::assemble(), ProcessLib::SteadyStateDiffusion::LocalAssemblerData< ShapeFunction, GlobalDim >::getFlux(), and ProcessLib::SteadyStateDiffusion::LocalAssemblerData< ShapeFunction, GlobalDim >::getIntPtDarcyVelocity().

_shape_matrices

template<typename ShapeFunction , int GlobalDim>

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

private

Definition at line 249 of file SteadyStateDiffusionFEM.h.

Referenced by ProcessLib::SteadyStateDiffusion::LocalAssemblerData< ShapeFunction, GlobalDim >::assemble(), ProcessLib::SteadyStateDiffusion::LocalAssemblerData< ShapeFunction, GlobalDim >::getIntPtDarcyVelocity(), and ProcessLib::SteadyStateDiffusion::LocalAssemblerData< ShapeFunction, GlobalDim >::getShapeMatrix().

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

• ProcessLib/SteadyStateDiffusion/SteadyStateDiffusionFEM.h