discretization/box/fluxvariablescache.hh

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#ifndef DUMUX_DISCRETIZATION_BOX_FLUXVARIABLES_CACHE_HH
#define DUMUX_DISCRETIZATION_BOX_FLUXVARIABLES_CACHE_HH
 
#include <dune/common/fvector.hh>
#include <dune/localfunctions/lagrange/pqkfactory.hh>
 
namespace Dumux {
 
template< class Scalar, class GridGeometry >
class BoxFluxVariablesCache
{
    using GridView = typename GridGeometry::GridView;
    using Element = typename GridView::template Codim<0>::Entity;
    using GlobalPosition = typename Element::Geometry::GlobalCoordinate;
 
    using FVElementGeometry = typename GridGeometry::LocalView;
    using SubControlVolumeFace = typename GridGeometry::SubControlVolumeFace;
 
    static const int dim = GridView::dimension;
    static const int dimWorld = GridView::dimensionworld;
 
    using CoordScalar = typename GridView::ctype;
    using FeCache = Dune::PQkLocalFiniteElementCache<CoordScalar, Scalar, dim, 1>;
    using FeLocalBasis = typename FeCache::FiniteElementType::Traits::LocalBasisType;
    using ShapeJacobian = typename FeLocalBasis::Traits::JacobianType;
    using ShapeValue = typename Dune::FieldVector<Scalar, 1>;
    using JacobianInverseTransposed = typename Element::Geometry::JacobianInverseTransposed;
 
public:
 
    template< class Problem, class ElementVolumeVariables >
    void update(const Problem& problem,
                const Element& element,
                const FVElementGeometry& fvGeometry,
                const ElementVolumeVariables& elemVolVars,
                const SubControlVolumeFace& scvf)
    {
        update(problem, element, fvGeometry, elemVolVars, scvf.ipGlobal());
    }
 
    template< class Problem, class ElementVolumeVariables >
    void update(const Problem& problem,
                const Element& element,
                const FVElementGeometry& fvGeometry,
                const ElementVolumeVariables& elemVolVars,
                const GlobalPosition& globalPos)
    {
        const auto geometry = element.geometry();
        const auto& localBasis = fvGeometry.feLocalBasis();
 
        // evaluate shape functions and gradients at the integration point
        ipGlobal_ = globalPos;
        const auto ipLocal = geometry.local(ipGlobal_);
        jacInvT_ = geometry.jacobianInverseTransposed(ipLocal);
        localBasis.evaluateJacobian(ipLocal, shapeJacobian_);
        localBasis.evaluateFunction(ipLocal, shapeValues_); // shape values for rho
 
        // compute the gradN at for every scv/dof
        gradN_.resize(fvGeometry.numScv());
        for (const auto& scv: scvs(fvGeometry))
            jacInvT_.mv(shapeJacobian_[scv.localDofIndex()][0], gradN_[scv.indexInElement()]);
    }
 
    const GlobalPosition& ipGlobal() const { return ipGlobal_; }
    const std::vector<ShapeJacobian>& shapeJacobian() const { return shapeJacobian_; }
    const std::vector<ShapeValue>& shapeValues() const { return shapeValues_; }
    const JacobianInverseTransposed& jacInvT() const { return jacInvT_; }
    const GlobalPosition& gradN(unsigned int scvIdxInElement) const { return gradN_[scvIdxInElement]; }
 
private:
    GlobalPosition ipGlobal_;
    std::vector<GlobalPosition> gradN_;
    std::vector<ShapeJacobian> shapeJacobian_;
    std::vector<ShapeValue> shapeValues_;
    JacobianInverseTransposed jacInvT_;
};
 
} // end namespace Dumux
 
#endif