shallowwaterflux.hh

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#ifndef DUMUX_FLUX_SHALLOW_WATER_FLUX_HH
#define DUMUX_FLUX_SHALLOW_WATER_FLUX_HH
 
#include <dumux/flux/fluxvariablescaching.hh>
#include <dumux/flux/shallowwater/riemannproblem.hh>
 
namespace Dumux {

template<class NumEqVector>
class ShallowWaterFlux
{
 
public:
 
    using Cache = FluxVariablesCaching::EmptyAdvectionCache;
    using CacheFiller = FluxVariablesCaching::EmptyCacheFiller;

    template<class Problem, class FVElementGeometry, class ElementVolumeVariables>
    static NumEqVector flux(const Problem& problem,
                            const typename FVElementGeometry::GridGeometry::GridView::template Codim<0>::Entity& element,
                            const FVElementGeometry& fvGeometry,
                            const ElementVolumeVariables& elemVolVars,
                            const typename FVElementGeometry::SubControlVolumeFace& scvf)
    {
 
        //Get the inside and outside volume variables
        const auto& insideVolVars = elemVolVars[scvf.insideScvIdx()];
        const auto& outsideVolVars = elemVolVars[scvf.outsideScvIdx()];
        const auto& nxy = scvf.unitOuterNormal();
        const auto gravity = problem.spatialParams().gravity(scvf.center());
 
        auto riemannFlux = ShallowWater::riemannProblem(insideVolVars.waterDepth(),
                                                        outsideVolVars.waterDepth(),
                                                        insideVolVars.velocity(0),
                                                        outsideVolVars.velocity(0),
                                                        insideVolVars.velocity(1),
                                                        outsideVolVars.velocity(1),
                                                        insideVolVars.bedSurface(),
                                                        outsideVolVars.bedSurface(),
                                                        gravity,
                                                        nxy);
 
        NumEqVector localFlux(0.0);
        localFlux[0] = riemannFlux[0] * scvf.area();
        localFlux[1] = riemannFlux[1] * scvf.area();
        localFlux[2] = riemannFlux[2] * scvf.area();
 
        return localFlux;
    }
};
 
} // end namespace Dumux
 
#endif