thermalconductivitysimplefluidlumping.hh

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#ifndef DUMUX_MATERIAL_THERMALCONDUCTIVITY_SIMPLE_FLUID_LUMPING_HH
#define DUMUX_MATERIAL_THERMALCONDUCTIVITY_SIMPLE_FLUID_LUMPING_HH
 
#include <assert.h>
#include <algorithm>
 
namespace Dumux {

template<class Scalar>
class ThermalConductivitySimpleFluidLumping
{
public:
    template<class VolumeVariables>
    static Scalar effectiveThermalConductivity(const VolumeVariables& volVars)
    {
        using FluidSystem = typename VolumeVariables::FluidSystem;
        const Scalar sw = volVars.saturation(FluidSystem::phase0Idx);
        const Scalar lambdaW = volVars.fluidThermalConductivity(FluidSystem::phase0Idx);
        const Scalar lambdaN = volVars.fluidThermalConductivity(FluidSystem::phase1Idx);
        const Scalar lambdaSolid = volVars.solidThermalConductivity();
        const Scalar porosity = volVars.porosity();
 
        return effectiveThermalConductivity_(sw, lambdaW, lambdaN, lambdaSolid, porosity);
    }
 
private:
    static Scalar effectiveThermalConductivity_(const Scalar sw,
                                                const Scalar lambdaW,
                                                const Scalar lambdaN,
                                                const Scalar lambdaSolid,
                                                const Scalar porosity)
    {
        // Franz Lindner / Shi & Wang 2011
        using std::max;
        const Scalar satW = max<Scalar>(0.0, sw);
        return porosity * ( (1. - satW) * lambdaN + satW * lambdaW ) + (1.0 - porosity) * lambdaSolid ; ; // arithmetic
    }
};
} // end namespace Dumux
#endif