flux/staggered/freeflow/fourierslaw.hh

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#ifndef DUMUX_DISCRETIZATION_STAGGERED_FOURIERS_LAW_HH
#define DUMUX_DISCRETIZATION_STAGGERED_FOURIERS_LAW_HH
 
#include <dumux/common/properties.hh>
#include <dumux/common/math.hh>
 
#include <dumux/discretization/method.hh>
#include <dumux/discretization/extrusion.hh>
#include <dumux/flux/fluxvariablescaching.hh>
 
namespace Dumux {
 
// forward declaration
template<class TypeTag, class DiscretizationMethod>
class FouriersLawImplementation;
 
template <class TypeTag>
class FouriersLawImplementation<TypeTag, DiscretizationMethods::Staggered>
{
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
    using FVElementGeometry = typename GridGeometry::LocalView;
    using SubControlVolumeFace = typename GridGeometry::SubControlVolumeFace;
    using Extrusion = Extrusion_t<GridGeometry>;
    using ElementVolumeVariables = typename GetPropType<TypeTag, Properties::GridVolumeVariables>::LocalView;
    using Element = typename GridGeometry::GridView::template Codim<0>::Entity;
    using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
 
public:
    using DiscretizationMethod = DiscretizationMethods::Staggered;
    // state the discretization method this implementation belongs to
    static constexpr DiscretizationMethod discMethod{};
 
    using Cache = FluxVariablesCaching::EmptyDiffusionCache;
 
    template<class Problem>
    static Scalar flux(const Problem& problem,
                       const Element& element,
                       const FVElementGeometry& fvGeometry,
                       const ElementVolumeVariables& elemVolVars,
                       const SubControlVolumeFace &scvf)
    {
        Scalar flux(0.0);
 
        // conductive energy flux is zero for outflow boundary conditions
        if (scvf.boundary() && problem.boundaryTypes(element, scvf).isOutflow(Indices::energyEqIdx))
            return flux;
 
        const auto& insideScv = fvGeometry.scv(scvf.insideScvIdx());
        const auto& insideVolVars = elemVolVars[scvf.insideScvIdx()];
        const auto& outsideVolVars = elemVolVars[scvf.outsideScvIdx()];
 
        const Scalar insideTemperature = insideVolVars.temperature();
        const Scalar outsideTemperature = outsideVolVars.temperature();
 
        const Scalar insideLambda = insideVolVars.effectiveThermalConductivity() * insideVolVars.extrusionFactor();
        const Scalar insideDistance = (insideScv.dofPosition() - scvf.ipGlobal()).two_norm();
 
        if (scvf.boundary())
        {
            flux = insideLambda * (insideTemperature - outsideTemperature) / insideDistance;
        }
        else
        {
            const auto& outsideScv = fvGeometry.scv(scvf.outsideScvIdx());
            const Scalar outsideLambda = outsideVolVars.effectiveThermalConductivity() * outsideVolVars.extrusionFactor();
            const Scalar outsideDistance = (outsideScv.dofPosition() - scvf.ipGlobal()).two_norm();
            const Scalar avgLambda = harmonicMean(insideLambda, outsideLambda, insideDistance, outsideDistance);
 
            flux = avgLambda * (insideTemperature - outsideTemperature) / (insideDistance + outsideDistance);
        }
 
        flux *= Extrusion::area(fvGeometry, scvf);
        return flux;
    }
};
 
} // end namespace Dumux
 
#endif