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/deprecated.hh>
#include <dumux/common/properties.hh>
#include <dumux/discretization/method.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 FVElementGeometry = typename GetPropType<TypeTag, Properties::GridGeometry>::LocalView;
    using SubControlVolume = typename FVElementGeometry::SubControlVolume;
    using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace;
    using GridView = GetPropType<TypeTag, Properties::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 ThermalConductivityModel = GetPropType<TypeTag, Properties::ThermalConductivityModel>;
    using ModelTraits = GetPropType<TypeTag, Properties::ModelTraits>;
 
    static constexpr auto numEnergyEqFluid = getPropValue<TypeTag, Properties::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)
    {
        Scalar tij;
 
        const auto insideScvIdx = scvf.insideScvIdx();
        const auto& insideScv = fvGeometry.scv(insideScvIdx);
        const auto& insideVolVars = elemVolVars[insideScvIdx];
        Scalar insideLambda = 0.0;
        Scalar outsideLambda = 0.0;
 
        // effective diffusion tensors
        if (phaseIdx != sPhaseIdx)
        {
            //when number of energyEq for the fluid are smaller than numPhases that means that we need an effecitve law
           if (numEnergyEqFluid < ModelTraits::numFluidPhases())
            {
                insideLambda += Deprecated::template effectiveThermalConductivity<ThermalConductivityModel>(
                                  insideVolVars, problem.spatialParams(), element, fvGeometry, insideScv);
            }
            else //numEnergyEqFluid >1
            {
                insideLambda += insideVolVars.fluidThermalConductivity(phaseIdx)*insideVolVars.saturation(phaseIdx)*insideVolVars.porosity();
            }
        }
        //solid phase
        else
        {
            insideLambda += insideVolVars.solidThermalConductivity()*(1.0-insideVolVars.porosity());
        }
 
        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)
        {
            tij = scvf.area()*ti;
        }
        // otherwise we compute a tpfa harmonic mean
        else
        {
            const auto outsideScvIdx = scvf.outsideScvIdx();
            const auto& outsideScv = fvGeometry.scv(outsideScvIdx);
            const auto& outsideVolVars = elemVolVars[outsideScvIdx];
 
       // effective diffusion tensors
        if (phaseIdx != sPhaseIdx)
        {
            //when number of energyEq for the fluid are smaller than numPhases that means that we need an effecitve law
           if (numEnergyEqFluid < ModelTraits::numFluidPhases())
            {
                outsideLambda += Deprecated::template effectiveThermalConductivity<ThermalConductivityModel>(
                                   outsideVolVars, problem.spatialParams(), element, fvGeometry, outsideScv);
            }
            else
            {
                outsideLambda += outsideVolVars.fluidThermalConductivity(phaseIdx)*outsideVolVars.saturation(phaseIdx)*outsideVolVars.porosity();
            }
        }
        //solid phase
        else
        {
            outsideLambda +=outsideVolVars.solidThermalConductivity()*(1.0-outsideVolVars.porosity());
        }
            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)
                tij = 0;
            else
                tij = scvf.area()*(ti * tj)/(ti + tj);
        }
        return tij;
    }
};
 
} // end namespace Dumux
 
#endif