viscousnoslip.hh

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// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
// vi: set et ts=4 sw=4 sts=4:
//
// SPDX-FileCopyrightInfo: Copyright © DuMux Project contributors, see AUTHORS.md in root folder
// SPDX-License-Identifier: GPL-3.0-or-later
//
#ifndef DUMUX_MATERIAL_FLUIDMATRIX_FRICTIONLAW_VISCOUS_NOSLIP_HH
#define DUMUX_MATERIAL_FLUIDMATRIX_FRICTIONLAW_VISCOUS_NOSLIP_HH
 
#include <algorithm>
#include <cmath>
#include <dune/common/math.hh>
 
#include <dumux/material/fluidmatrixinteractions/frictionlaws/frictionlaw.hh>
 
namespace Dumux {
 
template <typename VolumeVariables>
class FrictionLawViscousNoSlip : public FrictionLaw<VolumeVariables>
{
    using Scalar = typename VolumeVariables::PrimaryVariables::value_type;
public:
    Dune::FieldVector<Scalar, 2> bottomShearStress(const VolumeVariables& volVars) const final
    {
        // assume a parabolic velocity profile with no-slip BC on the bottom
        // and zero stress condition on the free surface
        // note that the velocity corresponds to the height-averaged velocity
        Dune::FieldVector<Scalar, 2> shearStress(0.0);
        shearStress[0] = volVars.viscosity()*volVars.velocity(0) * 3.0 / volVars.waterDepth();
        shearStress[1] = volVars.viscosity()*volVars.velocity(1) * 3.0 / volVars.waterDepth();
        return shearStress;
    }
};
 
} // end namespace Dumux
 
#endif