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|---|---|---|---|
| 1 | // -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- | ||
| 2 | // vi: set et ts=4 sw=4 sts=4: | ||
| 3 | // | ||
| 4 | // SPDX-FileCopyrightText: Copyright © DuMux Project contributors, see AUTHORS.md in root folder | ||
| 5 | // SPDX-License-Identifier: GPL-3.0-or-later | ||
| 6 | // | ||
| 7 | /*! | ||
| 8 | * \file | ||
| 9 | * \ingroup FrictionLaws | ||
| 10 | * \brief Implementation of a viscous no-slip bottom friction law | ||
| 11 | */ | ||
| 12 | |||
| 13 | #ifndef DUMUX_MATERIAL_FLUIDMATRIX_FRICTIONLAW_VISCOUS_NOSLIP_HH | ||
| 14 | #define DUMUX_MATERIAL_FLUIDMATRIX_FRICTIONLAW_VISCOUS_NOSLIP_HH | ||
| 15 | |||
| 16 | #include <algorithm> | ||
| 17 | #include <cmath> | ||
| 18 | #include <dune/common/math.hh> | ||
| 19 | |||
| 20 | #include <dumux/material/fluidmatrixinteractions/frictionlaws/frictionlaw.hh> | ||
| 21 | |||
| 22 | namespace Dumux { | ||
| 23 | /*! | ||
| 24 | * \addtogroup FrictionLaws | ||
| 25 | * \copydetails Dumux::FrictionLawViscousNoSlip | ||
| 26 | */ | ||
| 27 | |||
| 28 | /*! | ||
| 29 | * \ingroup FrictionLaws | ||
| 30 | * \brief Implementation of a viscous no-slip bottom friction law | ||
| 31 | * | ||
| 32 | * ### Viscous No-Slip | ||
| 33 | * | ||
| 34 | * This friction law assumes thin film flow with a parabolic velocity profile in depth | ||
| 35 | * (for the depth-averaged shallow water equations). The velocity profile | ||
| 36 | * and associated bottom shear stress can be derived from plane Poiseuille flow | ||
| 37 | * with a free surface boundary condition on top and a no-slip boundary condition | ||
| 38 | * on the bottom. | ||
| 39 | */ | ||
| 40 | |||
| 41 | template <typename VolumeVariables> | ||
| 42 |
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1 | class FrictionLawViscousNoSlip : public FrictionLaw<VolumeVariables> |
| 43 | { | ||
| 44 | using Scalar = typename VolumeVariables::PrimaryVariables::value_type; | ||
| 45 | public: | ||
| 46 | /*! | ||
| 47 | * \brief Compute the bottom shear stress. | ||
| 48 | * | ||
| 49 | * Compute the bottom shear stress due to bottom friction. | ||
| 50 | * The bottom shear stress is a projection of the shear stress tensor onto the bottom plane. | ||
| 51 | * It can therefore be represented by a (tangent) vector with two entries. | ||
| 52 | * | ||
| 53 | * \return shear stress in N/m^2. First entry is the x-component, the second the y-component. | ||
| 54 | */ | ||
| 55 | 320 | Dune::FieldVector<Scalar, 2> bottomShearStress(const VolumeVariables& volVars) const final | |
| 56 | { | ||
| 57 | // assume a parabolic velocity profile with no-slip BC on the bottom | ||
| 58 | // and zero stress condition on the free surface | ||
| 59 | // note that the velocity corresponds to the height-averaged velocity | ||
| 60 | 320 | Dune::FieldVector<Scalar, 2> shearStress(0.0); | |
| 61 | 320 | shearStress[0] = volVars.viscosity()*volVars.velocity(0) * 3.0 / volVars.waterDepth(); | |
| 62 | 320 | shearStress[1] = volVars.viscosity()*volVars.velocity(1) * 3.0 / volVars.waterDepth(); | |
| 63 | 320 | return shearStress; | |
| 64 | } | ||
| 65 | }; | ||
| 66 | |||
| 67 | } // end namespace Dumux | ||
| 68 | |||
| 69 | #endif | ||
| 70 |