box/fourierslawnonequilibrium.hh

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#ifndef DUMUX_DISCRETIZATION_BOX_FOURIERS_LAW_NONEQUILIBRIUM_HH
#define DUMUX_DISCRETIZATION_BOX_FOURIERS_LAW_NONEQUILIBRIUM_HH
 
#include <dune/common/float_cmp.hh>
 
#include <dumux/common/math.hh>
#include <dumux/common/properties.hh>
#include <dumux/common/deprecated.hh>
 
#include <dumux/discretization/method.hh>
 
 
namespace Dumux {
 
// forward declaration
template <class TypeTag, DiscretizationMethod discMethod>
class FouriersLawNonEquilibriumImplementation;

template <class TypeTag>
class FouriersLawNonEquilibriumImplementation<TypeTag, DiscretizationMethod::box>
{
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using Problem = GetPropType<TypeTag, Properties::Problem>;
    using FVElementGeometry = typename GetPropType<TypeTag, Properties::GridGeometry>::LocalView;
    using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace;
    using ElementVolumeVariables = typename GetPropType<TypeTag, Properties::GridVolumeVariables>::LocalView;
    using ElementFluxVariablesCache = typename GetPropType<TypeTag, Properties::GridFluxVariablesCache>::LocalView;
    using GridView = GetPropType<TypeTag, Properties::GridView>;
    using ThermalConductivityModel = GetPropType<TypeTag, Properties::ThermalConductivityModel>;
    using ModelTraits = GetPropType<TypeTag, Properties::ModelTraits>;
    using Element = typename GridView::template Codim<0>::Entity;
 
    static constexpr auto numEnergyEqFluid = getPropValue<TypeTag, Properties::NumEnergyEqFluid>();
    static constexpr auto sPhaseIdx = ModelTraits::numFluidPhases();
 
public:
    static Scalar flux(const Problem& problem,
                       const Element& element,
                       const FVElementGeometry& fvGeometry,
                       const ElementVolumeVariables& elemVolVars,
                       const SubControlVolumeFace& scvf,
                       const int phaseIdx,
                       const ElementFluxVariablesCache& elemFluxVarsCache)
    {
        // get inside and outside diffusion tensors and calculate the harmonic mean
        const auto& insideScv = fvGeometry.scv(scvf.insideScvIdx());
        const auto& outsideScv = fvGeometry.scv(scvf.outsideScvIdx());
        const auto& insideVolVars = elemVolVars[insideScv];
        const auto& outsideVolVars = elemVolVars[outsideScv];
        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);
                outsideLambda += Deprecated::template effectiveThermalConductivity<ThermalConductivityModel>(
                                   outsideVolVars, problem.spatialParams(), element, fvGeometry, outsideScv);
            }
            else
            {
                insideLambda += insideVolVars.fluidThermalConductivity(phaseIdx)*insideVolVars.saturation(phaseIdx)*insideVolVars.porosity();
                outsideLambda += outsideVolVars.fluidThermalConductivity(phaseIdx)*outsideVolVars.saturation(phaseIdx)*outsideVolVars.porosity();
            }
        }
        //solid phase
        else
        {
            insideLambda += insideVolVars.solidThermalConductivity()*(1.0-insideVolVars.porosity());
            outsideLambda += outsideVolVars.solidThermalConductivity()*(1.0-outsideVolVars.porosity());
        }
 
        // scale by extrusion factor
        insideLambda *= insideVolVars.extrusionFactor();
        outsideLambda *= outsideVolVars.extrusionFactor();
 
        // the resulting averaged diffusion tensor
        const auto lambda = problem.spatialParams().harmonicMean(insideLambda, outsideLambda, scvf.unitOuterNormal());
 
        // evaluate gradTemp at integration point
        const auto& fluxVarsCache = elemFluxVarsCache[scvf];
 
        Dune::FieldVector<Scalar, GridView::dimensionworld> gradTemp(0.0);
        for (auto&& scv : scvs(fvGeometry))
        {
            // compute the temperature gradient with the shape functions
            if (phaseIdx < numEnergyEqFluid)
                gradTemp.axpy(elemVolVars[scv].temperatureFluid(phaseIdx), fluxVarsCache.gradN(scv.indexInElement()));
            else
               gradTemp.axpy(elemVolVars[scv].temperatureSolid(), fluxVarsCache.gradN(scv.indexInElement()));
        }
 
        // comute the heat conduction flux
        return -1.0*vtmv(scvf.unitOuterNormal(), lambda, gradTemp)*scvf.area();
    }
};
 
} // end namespace Dumux
 
#endif