cctpfa/fourierslawnonequilibrium.hh

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#ifndef DUMUX_DISCRETIZATION_CC_TPFA_FOURIERS_LAW_NONEQUILIBRIUM_HH
#define DUMUX_DISCRETIZATION_CC_TPFA_FOURIERS_LAW_NONEQUILIBRIUM_HH
 
#include <dumux/common/properties.hh>
#include <dumux/discretization/method.hh>
#include <dumux/discretization/extrusion.hh>
#include <dumux/discretization/cellcentered/tpfa/computetransmissibility.hh>
#include <dumux/flux/fluxvariablescaching.hh>
 
namespace Dumux {
 
// forward declaration
template<class TypeTag, DiscretizationMethod discMethod>
class FouriersLawNonEquilibriumImplementation;
 
template <class TypeTag>
class FouriersLawNonEquilibriumImplementation<TypeTag, DiscretizationMethod::cctpfa>
{
    using Implementation = FouriersLawNonEquilibriumImplementation<TypeTag, DiscretizationMethod::cctpfa>;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using Problem = GetPropType<TypeTag, Properties::Problem>;
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using FVElementGeometry = typename GridGeometry::LocalView;
    using SubControlVolumeFace = typename GridGeometry::SubControlVolumeFace;
    using Extrusion = Extrusion_t<GridGeometry>;
    using GridView = typename GridGeometry::GridView;
    using ElementVolumeVariables = typename GetPropType<TypeTag, Properties::GridVolumeVariables>::LocalView;
    using Element = typename GridView::template Codim<0>::Entity;
    using ElementFluxVarsCache = typename GetPropType<TypeTag, Properties::GridFluxVariablesCache>::LocalView;
 
    static constexpr int dim = GridView::dimension;
    static constexpr int dimWorld = GridView::dimensionworld;
 
    using ModelTraits = GetPropType<TypeTag, Properties::ModelTraits>;
 
    static constexpr auto numEnergyEqSolid = getPropValue<TypeTag, Properties::NumEnergyEqSolid>();
    static constexpr auto numEnergyEqFluid = getPropValue<TypeTag, Properties::NumEnergyEqFluid>();
    static constexpr auto numEnergyEq = numEnergyEqSolid + numEnergyEqFluid;
    static constexpr auto sPhaseIdx = ModelTraits::numFluidPhases();
 
public:
    static const DiscretizationMethod discMethod = DiscretizationMethod::cctpfa;
 
    using Cache = FluxVariablesCaching::EmptyHeatConductionCache;
 
    static Scalar flux(const Problem& problem,
                       const Element& element,
                       const FVElementGeometry& fvGeometry,
                       const ElementVolumeVariables& elemVolVars,
                       const SubControlVolumeFace& scvf,
                       const int phaseIdx,
                       const ElementFluxVarsCache& elemFluxVarsCache)
    {
        Scalar tInside = 0.0;
        Scalar tOutside = 0.0;
        // get the inside/outside temperatures
        if (phaseIdx < numEnergyEqFluid)
        {
            tInside += elemVolVars[scvf.insideScvIdx()].temperatureFluid(phaseIdx);
            tOutside += elemVolVars[scvf.outsideScvIdx()].temperatureFluid(phaseIdx);
        }
        else //temp solid
        {
            tInside += elemVolVars[scvf.insideScvIdx()].temperatureSolid();
            tOutside += elemVolVars[scvf.outsideScvIdx()].temperatureSolid();
        }
 
        Scalar tij = calculateTransmissibility(problem, element, fvGeometry, elemVolVars, scvf, phaseIdx);
        return tij*(tInside - tOutside);
    }
 
    static Scalar calculateTransmissibility(const Problem& problem,
                                            const Element& element,
                                            const FVElementGeometry& fvGeometry,
                                            const ElementVolumeVariables& elemVolVars,
                                            const SubControlVolumeFace& scvf,
                                            const int phaseIdx)
    {
        const auto insideScvIdx = scvf.insideScvIdx();
        const auto& insideScv = fvGeometry.scv(insideScvIdx);
        const auto& insideVolVars = elemVolVars[insideScvIdx];
        const auto computeLambda = [&](const auto& v){
            if constexpr (numEnergyEq == 1)
                return v.effectiveThermalConductivity();
            else if constexpr (numEnergyEqFluid == 1)
                return (phaseIdx != sPhaseIdx)
                        ? v.effectiveFluidThermalConductivity()
                        : v.effectiveSolidThermalConductivity();
            else
                return v.effectivePhaseThermalConductivity(phaseIdx);
        };
 
        const auto insideLambda = computeLambda(insideVolVars);
        const Scalar ti = computeTpfaTransmissibility(scvf, insideScv, insideLambda, insideVolVars.extrusionFactor());
 
        // for the boundary (dirichlet) or at branching points we only need ti
        if (scvf.boundary() || scvf.numOutsideScvs() > 1)
            return Extrusion::area(scvf)*ti;
        else // otherwise we compute a tpfa harmonic mean
        {
            const auto outsideScvIdx = scvf.outsideScvIdx();
            const auto& outsideScv = fvGeometry.scv(outsideScvIdx);
            const auto& outsideVolVars = elemVolVars[outsideScvIdx];
            const auto outsideLambda = computeLambda(outsideVolVars);
 
            Scalar tj;
            if (dim == dimWorld)
                // assume the normal vector from outside is anti parallel so we save flipping a vector
                tj = -1.0*computeTpfaTransmissibility(scvf, outsideScv, outsideLambda, outsideVolVars.extrusionFactor());
            else
                tj = computeTpfaTransmissibility(fvGeometry.flipScvf(scvf.index()), outsideScv, outsideLambda, outsideVolVars.extrusionFactor());
 
            // check for division by zero!
            if (ti*tj <= 0.0)
                return 0.0;
            else
                return Extrusion::area(scvf)*(ti * tj)/(ti + tj);
        }
    }
};
 
} // end namespace Dumux
 
#endif