boxlocalresidual.hh

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#ifndef DUMUX_BOX_LOCAL_RESIDUAL_HH
#define DUMUX_BOX_LOCAL_RESIDUAL_HH
 
#include <dune/geometry/type.hh>
#include <dune/istl/matrix.hh>
 
#include <dumux/common/properties.hh>
#include <dumux/assembly/fvlocalresidual.hh>
#include <dumux/discretization/extrusion.hh>
 
namespace Dumux {
 
template<class TypeTag>
class BoxLocalResidual : public FVLocalResidual<TypeTag>
{
    using ParentType = FVLocalResidual<TypeTag>;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using Problem = GetPropType<TypeTag, Properties::Problem>;
    using GridView = typename GetPropType<TypeTag, Properties::GridGeometry>::GridView;
    using Element = typename GridView::template Codim<0>::Entity;
    using ElementBoundaryTypes = GetPropType<TypeTag, Properties::ElementBoundaryTypes>;
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using FVElementGeometry = typename GridGeometry::LocalView;
    using Extrusion = Extrusion_t<GridGeometry>;
    using ElementVolumeVariables = typename GetPropType<TypeTag, Properties::GridVolumeVariables>::LocalView;
    using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace;
    using ElementFluxVariablesCache = typename GetPropType<TypeTag, Properties::GridFluxVariablesCache>::LocalView;
    using NumEqVector = GetPropType<TypeTag, Properties::NumEqVector>;
 
public:
    using ElementResidualVector = typename ParentType::ElementResidualVector;
    using ParentType::ParentType;
 
    void evalFlux(ElementResidualVector& residual,
                  const Problem& problem,
                  const Element& element,
                  const FVElementGeometry& fvGeometry,
                  const ElementVolumeVariables& elemVolVars,
                  const ElementBoundaryTypes& elemBcTypes,
                  const ElementFluxVariablesCache& elemFluxVarsCache,
                  const SubControlVolumeFace& scvf) const
    {
        const auto flux = evalFlux(problem, element, fvGeometry, elemVolVars, elemBcTypes, elemFluxVarsCache, scvf);
        if (!scvf.boundary())
        {
            const auto& insideScv = fvGeometry.scv(scvf.insideScvIdx());
            const auto& outsideScv = fvGeometry.scv(scvf.outsideScvIdx());
            residual[insideScv.localDofIndex()] += flux;
            residual[outsideScv.localDofIndex()] -= flux;
        }
        else
        {
            const auto& insideScv = fvGeometry.scv(scvf.insideScvIdx());
            residual[insideScv.localDofIndex()] += flux;
        }
    }
 
    NumEqVector evalFlux(const Problem& problem,
                         const Element& element,
                         const FVElementGeometry& fvGeometry,
                         const ElementVolumeVariables& elemVolVars,
                         const ElementBoundaryTypes& elemBcTypes,
                         const ElementFluxVariablesCache& elemFluxVarsCache,
                         const SubControlVolumeFace& scvf) const
    {
        NumEqVector flux(0.0);
 
        // inner faces
        if (!scvf.boundary())
        {
            flux += this->asImp().computeFlux(problem, element, fvGeometry, elemVolVars, scvf, elemFluxVarsCache);
        }
 
        // boundary faces
        else
        {
            const auto& scv = fvGeometry.scv(scvf.insideScvIdx());
            const auto& bcTypes = elemBcTypes[scv.localDofIndex()];
 
            // Treat Neumann and Robin ("solution dependent Neumann") boundary conditions.
            // For Dirichlet there is no addition to the residual here but they
            // are enforced strongly by replacing the residual entry afterwards.
            if (bcTypes.hasNeumann())
            {
                auto neumannFluxes = problem.neumann(element, fvGeometry, elemVolVars, elemFluxVarsCache, scvf);
 
                // multiply neumann fluxes with the area and the extrusion factor
                neumannFluxes *= Extrusion::area(scvf)*elemVolVars[scv].extrusionFactor();
 
                // only add fluxes to equations for which Neumann is set
                for (int eqIdx = 0; eqIdx < NumEqVector::dimension; ++eqIdx)
                    if (bcTypes.isNeumann(eqIdx))
                        flux[eqIdx] += neumannFluxes[eqIdx];
            }
        }
 
        return flux;
    }
};
 
} // end namespace Dumux
 
#endif