TwoPhaseFlowWithPrhoLocalAssembler.h

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#pragma once
 
#include <vector>
 
#include "MaterialLib/PhysicalConstant.h"
#include "MathLib/LinAlg/Eigen/EigenMapTools.h"
#include "NumLib/Extrapolation/ExtrapolatableElement.h"
#include "NumLib/Fem/FiniteElement/TemplateIsoparametric.h"
#include "NumLib/Fem/InitShapeMatrices.h"
#include "NumLib/Fem/Integration/GenericIntegrationMethod.h"
#include "NumLib/Fem/ShapeMatrixPolicy.h"
#include "ParameterLib/Parameter.h"
#include "ProcessLib/LocalAssemblerInterface.h"
#include "ProcessLib/LocalAssemblerTraits.h"
#include "TwoPhaseFlowWithPrhoProcessData.h"
 
namespace ProcessLib
{
namespace TwoPhaseFlowWithPrho
{
template <typename NodalMatrixType>
struct IntegrationPointData final
{
    explicit IntegrationPointData(
        TwoPhaseFlowWithPrhoMaterialProperties& material_property_)
        : mat_property(material_property_),
          sw(1.0),
          rho_m(0.0),
          dsw_dpg(0.0),
          dsw_drho(0.0),
          drhom_dpg(0.0),
          drhom_drho(0.0)
    {
    }
    TwoPhaseFlowWithPrhoMaterialProperties& mat_property;
    double sw;
    double rho_m;
    double dsw_dpg;
    double dsw_drho;
    double drhom_dpg;
    double drhom_drho;
    double pressure_nonwetting;
 
    double integration_weight;
    NodalMatrixType massOperator;
    NodalMatrixType diffusionOperator;
 
    EIGEN_MAKE_ALIGNED_OPERATOR_NEW;
};
const unsigned NUM_NODAL_DOF = 2;
 
class TwoPhaseFlowWithPrhoLocalAssemblerInterface
    : public ProcessLib::LocalAssemblerInterface,
      public NumLib::ExtrapolatableElement
{
public:
    virtual std::vector<double> const& getIntPtSaturation(
        const double t,
        std::vector<GlobalVector*> const& x,
        std::vector<NumLib::LocalToGlobalIndexMap const*> const& dof_table,
        std::vector<double>& cache) const = 0;
 
    virtual std::vector<double> const& getIntPtNonWettingPressure(
        const double t,
        std::vector<GlobalVector*> const& x,
        std::vector<NumLib::LocalToGlobalIndexMap const*> const& dof_table,
        std::vector<double>& cache) const = 0;
};
 
template <typename ShapeFunction, int GlobalDim>
class TwoPhaseFlowWithPrhoLocalAssembler
    : public TwoPhaseFlowWithPrhoLocalAssemblerInterface
{
    using ShapeMatricesType = ShapeMatrixPolicyType<ShapeFunction, GlobalDim>;
    using ShapeMatrices = typename ShapeMatricesType::ShapeMatrices;
 
    using LocalAssemblerTraits = ProcessLib::LocalAssemblerTraits<
        ShapeMatricesType, ShapeFunction::NPOINTS, NUM_NODAL_DOF, GlobalDim>;
 
    using NodalMatrixType = typename ShapeMatricesType::NodalMatrixType;
    using NodalVectorType = typename ShapeMatricesType::NodalVectorType;
    using GlobalDimMatrixType = typename ShapeMatricesType::GlobalDimMatrixType;
    using GlobalDimVectorType = typename ShapeMatricesType::GlobalDimVectorType;
    using LocalMatrixType = typename LocalAssemblerTraits::LocalMatrix;
    using LocalVectorType = typename LocalAssemblerTraits::LocalVector;
 
public:
    TwoPhaseFlowWithPrhoLocalAssembler(
        MeshLib::Element const& element,
        std::size_t const /*local_matrix_size*/,
        NumLib::GenericIntegrationMethod const& integration_method,
        bool const is_axially_symmetric,
        TwoPhaseFlowWithPrhoProcessData const& process_data)
        : _element(element),
          _integration_method(integration_method),
          _shape_matrices(
              NumLib::initShapeMatrices<ShapeFunction, ShapeMatricesType,
                                        GlobalDim>(
                  element, is_axially_symmetric, _integration_method)),
          _process_data(process_data),
          _saturation(
              std::vector<double>(_integration_method.getNumberOfPoints())),
          _pressure_nonwetting(
              std::vector<double>(_integration_method.getNumberOfPoints()))
    {
        unsigned const n_integration_points =
            _integration_method.getNumberOfPoints();
        _ip_data.reserve(n_integration_points);
        for (unsigned ip = 0; ip < n_integration_points; ip++)
        {
            _ip_data.emplace_back(*_process_data._material);
            auto const& sm = _shape_matrices[ip];
            _ip_data[ip].integration_weight =
                sm.integralMeasure * sm.detJ *
                _integration_method.getWeightedPoint(ip).getWeight();
            _ip_data[ip].massOperator.setZero(ShapeFunction::NPOINTS,
                                              ShapeFunction::NPOINTS);
            _ip_data[ip].diffusionOperator.setZero(ShapeFunction::NPOINTS,
                                                   ShapeFunction::NPOINTS);
            _ip_data[ip].massOperator.noalias() =
                sm.N.transpose() * sm.N * _ip_data[ip].integration_weight;
            _ip_data[ip].diffusionOperator.noalias() =
                sm.dNdx.transpose() * sm.dNdx * _ip_data[ip].integration_weight;
        }
    }
 
    void assemble(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) override;
 
    Eigen::Map<const Eigen::RowVectorXd> getShapeMatrix(
        const unsigned integration_point) const override
    {
        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());
    }
 
    std::vector<double> const& getIntPtSaturation(
        const double /*t*/,
        std::vector<GlobalVector*> const& /*x*/,
        std::vector<NumLib::LocalToGlobalIndexMap const*> const& /*dof_table*/,
        std::vector<double>& /*cache*/) const override
    {
        assert(!_saturation.empty());
        return _saturation;
    }
 
    std::vector<double> const& getIntPtNonWettingPressure(
        const double /*t*/,
        std::vector<GlobalVector*> const& /*x*/,
        std::vector<NumLib::LocalToGlobalIndexMap const*> const& /*dof_table*/,
        std::vector<double>& /*cache*/) const override
    {
        assert(!_pressure_nonwetting.empty());
        return _pressure_nonwetting;
    }
 
private:
    MeshLib::Element const& _element;
 
    NumLib::GenericIntegrationMethod const& _integration_method;
    std::vector<ShapeMatrices, Eigen::aligned_allocator<ShapeMatrices>>
        _shape_matrices;
 
    TwoPhaseFlowWithPrhoProcessData const& _process_data;
    std::vector<IntegrationPointData<NodalMatrixType>,
                Eigen::aligned_allocator<IntegrationPointData<NodalMatrixType>>>
        _ip_data;
 
    std::vector<double> _saturation;  
    std::vector<double> _pressure_nonwetting;
    static const int nonwet_pressure_coeff_index = 0;
    static const int cap_pressure_coeff_index = 1;
 
    static const int nonwet_pressure_matrix_index = 0;
    static const int cap_pressure_matrix_index = ShapeFunction::NPOINTS;
 
    static const int nonwet_pressure_size = ShapeFunction::NPOINTS;
    static const int cap_pressure_size = ShapeFunction::NPOINTS;
};
 
}  // namespace TwoPhaseFlowWithPrho
}  // namespace ProcessLib
 
#include "TwoPhaseFlowWithPrhoLocalAssembler-impl.h"