VariableDependentNeumannBoundaryConditionLocalAssembler.h

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#pragma once
 
#include "GenericNaturalBoundaryConditionLocalAssembler.h"
#include "MeshLib/PropertyVector.h"
#include "NumLib/DOF/DOFTableUtil.h"
#include "NumLib/Function/Interpolation.h"
#include "ParameterLib/MeshNodeParameter.h"
 
namespace ProcessLib
{
struct VariableDependentNeumannBoundaryConditionData
{
    ParameterLib::Parameter<double> const& constant;
    ParameterLib::Parameter<double> const& coefficient_current_variable;
    ParameterLib::Parameter<double> const& coefficient_other_variable;
    ParameterLib::Parameter<double> const& coefficient_mixed_variables;
    // Used for mapping boundary nodes to bulk nodes.
    std::unique_ptr<NumLib::LocalToGlobalIndexMap>
        dof_table_boundary_other_variable;
};
 
template <typename ShapeFunction, int GlobalDim>
class VariableDependentNeumannBoundaryConditionLocalAssembler final
    : public GenericNaturalBoundaryConditionLocalAssembler<ShapeFunction,
                                                           GlobalDim>
{
    using Base =
        GenericNaturalBoundaryConditionLocalAssembler<ShapeFunction, GlobalDim>;
    using NodalVectorType = typename Base::NodalVectorType;
    using NodalMatrixType = typename Base::NodalMatrixType;
 
public:
    VariableDependentNeumannBoundaryConditionLocalAssembler(
        MeshLib::Element const& e,
        std::size_t const local_matrix_size,
        NumLib::GenericIntegrationMethod const& integration_method,
        bool const is_axially_symmetric,
        VariableDependentNeumannBoundaryConditionData const& data)
        : Base(e, is_axially_symmetric, integration_method),
          _data(data),
          _local_matrix_size(local_matrix_size)
    {
    }
 
    void assemble(std::size_t const mesh_item_id,
                  NumLib::LocalToGlobalIndexMap const& dof_table_boundary,
                  double const t, std::vector<GlobalVector*> const& x,
                  int const process_id, GlobalMatrix& /*K*/, GlobalVector& b,
                  GlobalMatrix* /*Jac*/) override
    {
        NodalVectorType _local_rhs(_local_matrix_size);
        _local_rhs.setZero();
        // Get element nodes for the interpolation from nodes to
        // integration point.
        NodalVectorType const constant_node_values =
            _data.constant.getNodalValuesOnElement(Base::_element, t)
                .template topRows<ShapeFunction::MeshElement::n_all_nodes>();
        NodalVectorType const coefficient_current_variable_node_values =
            _data.coefficient_current_variable
                .getNodalValuesOnElement(Base::_element, t)
                .template topRows<ShapeFunction::MeshElement::n_all_nodes>();
        NodalVectorType const coefficient_other_variable_node_values =
            _data.coefficient_other_variable
                .getNodalValuesOnElement(Base::_element, t)
                .template topRows<ShapeFunction::MeshElement::n_all_nodes>();
        NodalVectorType const coefficient_mixed_variables_node_values =
            _data.coefficient_mixed_variables
                .getNodalValuesOnElement(Base::_element, t)
                .template topRows<ShapeFunction::MeshElement::n_all_nodes>();
        unsigned const n_integration_points =
            Base::_integration_method.getNumberOfPoints();
 
        auto const indices_current_variable =
            NumLib::getIndices(mesh_item_id, dof_table_boundary);
        auto const indices_other_variable = NumLib::getIndices(
            mesh_item_id, *_data.dof_table_boundary_other_variable);
        std::vector<double> const local_current_variable =
            x[process_id]->get(indices_current_variable);
        std::vector<double> const local_other_variable =
            x[process_id]->get(indices_other_variable);
 
        for (unsigned ip = 0; ip < n_integration_points; ip++)
        {
            auto const& n_and_weight = Base::_ns_and_weights[ip];
            auto const& N = n_and_weight.N;
            auto const& w = n_and_weight.weight;
 
            double current_variable_int_pt = 0.0;
            double other_variable_int_pt = 0.0;
 
            NumLib::shapeFunctionInterpolate(local_current_variable, N,
                                             current_variable_int_pt);
            NumLib::shapeFunctionInterpolate(local_other_variable, N,
                                             other_variable_int_pt);
            NodalVectorType const neumann_node_values =
                constant_node_values +
                coefficient_current_variable_node_values *
                    current_variable_int_pt +
                coefficient_other_variable_node_values * other_variable_int_pt +
                coefficient_mixed_variables_node_values *
                    current_variable_int_pt * other_variable_int_pt;
            _local_rhs.noalias() += N * neumann_node_values.dot(N) * w;
        }
 
        b.add(indices_current_variable, _local_rhs);
    }
 
private:
    VariableDependentNeumannBoundaryConditionData const& _data;
    std::size_t const _local_matrix_size;
};
 
}  // namespace ProcessLib