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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-FileCopyrightInfo: 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 Fluidmatrixinteractions | ||
| 10 | * \copydoc Dumux::FrictionLawNikuradse | ||
| 11 | */ | ||
| 12 | #ifndef DUMUX_MATERIAL_FLUIDMATRIX_FRICTIONLAW_NIKURADSE_HH | ||
| 13 | #define DUMUX_MATERIAL_FLUIDMATRIX_FRICTIONLAW_NIKURADSE_HH | ||
| 14 | |||
| 15 | #include <algorithm> | ||
| 16 | #include <cmath> | ||
| 17 | #include <dune/common/math.hh> | ||
| 18 | #include "frictionlaw.hh" | ||
| 19 | |||
| 20 | namespace Dumux { | ||
| 21 | /*! | ||
| 22 | * \ingroup Fluidmatrixinteractions | ||
| 23 | * \brief Implementation of the friction law after Nikuradse. | ||
| 24 | * | ||
| 25 | * The LET mobility model is used to limit the friction for small water | ||
| 26 | * depths if a roughness height > 0.0 is provided (default roughnessHeight = 0.0). | ||
| 27 | */ | ||
| 28 | |||
| 29 | template <typename VolumeVariables> | ||
| 30 | class FrictionLawNikuradse : public FrictionLaw<VolumeVariables> | ||
| 31 | { | ||
| 32 | using Scalar = typename VolumeVariables::PrimaryVariables::value_type; | ||
| 33 | public: | ||
| 34 | /*! | ||
| 35 | * \brief Constructor | ||
| 36 | * | ||
| 37 | * \param ks Equivalent sand roughness (in m) | ||
| 38 | * \param roughnessHeight roughness height (in m) default = 0.0 | ||
| 39 | */ | ||
| 40 | 1 | FrictionLawNikuradse(const Scalar ks, const Scalar roughnessHeight=0.0) | |
| 41 |
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1 | : ks_(ks), roughnessHeight_(roughnessHeight) {} |
| 42 | |||
| 43 | /*! | ||
| 44 | * \brief Compute the bottom shear stress. | ||
| 45 | * | ||
| 46 | * \param volVars Volume variables | ||
| 47 | * | ||
| 48 | * Compute the bottom shear stress due to bottom friction. | ||
| 49 | * The bottom shear stress is a projection of the shear stress tensor onto the river bed. | ||
| 50 | * It can therefore be represented by a (tangent) vector with two entries. | ||
| 51 | * | ||
| 52 | * \return shear stress in N/m^2. First entry is the x-component, the second the y-component. | ||
| 53 | */ | ||
| 54 | 1070877 | Dune::FieldVector<Scalar, 2> bottomShearStress(const VolumeVariables& volVars) const final | |
| 55 | { | ||
| 56 | using Dune::power; | ||
| 57 | using std::log; | ||
| 58 | using std::hypot; | ||
| 59 | |||
| 60 | 1070877 | Dune::FieldVector<Scalar, 2> shearStress(0.0); | |
| 61 | |||
| 62 |
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2141754 | const Scalar artificialWaterDepth = this->limitRoughH(roughnessHeight_, volVars.waterDepth()); |
| 63 | 1070877 | const Scalar karmanConstant = 0.41; // Karman's constant is dimensionless | |
| 64 | 2141754 | const Scalar dimensionlessFactor = power(karmanConstant, 2)/power(log((12*(volVars.waterDepth() + artificialWaterDepth))/ks_), 2); | |
| 65 | 3212631 | const Scalar uv = hypot(volVars.velocity(0),volVars.velocity(1)); | |
| 66 | |||
| 67 | 4283508 | shearStress[0] = dimensionlessFactor * volVars.velocity(0) * uv * volVars.density(); | |
| 68 | 4283508 | shearStress[1] = dimensionlessFactor * volVars.velocity(1) * uv * volVars.density(); | |
| 69 | |||
| 70 | 1070877 | return shearStress; | |
| 71 | } | ||
| 72 | |||
| 73 | private: | ||
| 74 | Scalar ks_; | ||
| 75 | Scalar roughnessHeight_; | ||
| 76 | }; | ||
| 77 | |||
| 78 | } // end namespace Dumux | ||
| 79 | |||
| 80 | #endif | ||
| 81 |