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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 ShallowWaterTests | ||
| 10 | * \brief A test for the Shallow water model in a rough channel with limited | ||
| 11 | * Nikuradse friction. | ||
| 12 | */ | ||
| 13 | #ifndef DUMUX_ROUGH_CHANNEL_TEST_PROBLEM_HH | ||
| 14 | #define DUMUX_ROUGH_CHANNEL_TEST_PROBLEM_HH | ||
| 15 | |||
| 16 | #include <dumux/common/boundarytypes.hh> | ||
| 17 | #include <dumux/common/parameters.hh> | ||
| 18 | #include <dumux/common/properties.hh> | ||
| 19 | #include <dumux/common/numeqvector.hh> | ||
| 20 | |||
| 21 | #include <dumux/freeflow/shallowwater/problem.hh> | ||
| 22 | #include <dumux/freeflow/shallowwater/boundaryfluxes.hh> | ||
| 23 | |||
| 24 | namespace Dumux { | ||
| 25 | |||
| 26 | /*! | ||
| 27 | * \ingroup ShallowWaterTests | ||
| 28 | * \brief A simple flow in a rough channel with friction law after Nikuradse with | ||
| 29 | * limiting. | ||
| 30 | * | ||
| 31 | * This is a synthetic test to check if the limiting of friction laws works. | ||
| 32 | * Therefore a parameter RoughnessHeight is used to ensure that the maximum | ||
| 33 | * calculated shear stress of the friction law is limited. An artificial water | ||
| 34 | * depth is added to the actual water depth if the water depth is smaller than | ||
| 35 | * two times the RoughnessHeight to limit the shear stress. | ||
| 36 | * | ||
| 37 | * At the left border a discharge boundary condition is applied and at the right | ||
| 38 | * border a water depth boundary condition. All other boundaries are set to | ||
| 39 | * no-flow. | ||
| 40 | * | ||
| 41 | * This problem uses the \ref ShallowWaterModel | ||
| 42 | */ | ||
| 43 | template <class TypeTag> | ||
| 44 | class RoughChannelProblem : public ShallowWaterProblem<TypeTag> | ||
| 45 | { | ||
| 46 | using ParentType = ShallowWaterProblem<TypeTag>; | ||
| 47 | |||
| 48 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 49 | using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>; | ||
| 50 | using NumEqVector = Dumux::NumEqVector<PrimaryVariables>; | ||
| 51 | using BoundaryTypes = Dumux::BoundaryTypes<GetPropType<TypeTag, Properties::ModelTraits>::numEq()>; | ||
| 52 | using NeumannFluxes = NumEqVector; | ||
| 53 | using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices; | ||
| 54 | |||
| 55 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
| 56 | using GridView = typename GridGeometry::GridView; | ||
| 57 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 58 | using GlobalPosition = typename Element::Geometry::GlobalCoordinate; | ||
| 59 | using FVElementGeometry = typename GridGeometry::LocalView; | ||
| 60 | using SubControlVolume = typename FVElementGeometry::SubControlVolume; | ||
| 61 | using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace; | ||
| 62 | |||
| 63 | using GridVariables = GetPropType<TypeTag, Properties::GridVariables>; | ||
| 64 | using ElementFluxVariablesCache = typename GridVariables::GridFluxVariablesCache::LocalView; | ||
| 65 | using ElementVolumeVariables = typename GridVariables::GridVolumeVariables::LocalView; | ||
| 66 | |||
| 67 | public: | ||
| 68 | 1 | RoughChannelProblem(std::shared_ptr<const GridGeometry> gridGeometry) | |
| 69 |
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3 | : ParentType(gridGeometry) |
| 70 | { | ||
| 71 |
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1 | name_ = getParam<std::string>("Problem.Name"); |
| 72 |
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1 | bedSlope_ = getParam<Scalar>("Problem.BedSlope"); |
| 73 |
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1 | discharge_ = getParam<Scalar>("Problem.Discharge"); |
| 74 |
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1 | hBoundary_ = getParam<Scalar>("Problem.WaterDepthOutflow"); |
| 75 | 1 | } | |
| 76 | |||
| 77 | /*! | ||
| 78 | * \brief The problem name | ||
| 79 | * | ||
| 80 | * This is used as a prefix for files generated by the simulation. | ||
| 81 | */ | ||
| 82 | const std::string& name() const | ||
| 83 | { | ||
| 84 |
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1 | return name_; |
| 85 | } | ||
| 86 | |||
| 87 | /*! | ||
| 88 | * \brief Evaluate the source term for all balance equations within a given | ||
| 89 | * sub-control-volume. | ||
| 90 | * | ||
| 91 | * This is the method for the case where the source term is | ||
| 92 | * potentially solution dependent and requires some quantities that | ||
| 93 | * are specific to the fully-implicit method. | ||
| 94 | * | ||
| 95 | * \param element The finite element | ||
| 96 | * \param fvGeometry The finite-volume geometry | ||
| 97 | * \param elemVolVars All volume variables for the element | ||
| 98 | * \param scv The sub control volume | ||
| 99 | * | ||
| 100 | * For this method, the values parameter stores the conserved quantity rate | ||
| 101 | * generated or annihilate per volume unit. Positive values mean | ||
| 102 | * that the conserved quantity is created, negative ones mean that it vanishes. | ||
| 103 | * E.g. for the mass balance that would be a mass rate in \f$ [ kg / (m^3 \cdot s)] \f$. | ||
| 104 | */ | ||
| 105 | 1070877 | NumEqVector source(const Element& element, | |
| 106 | const FVElementGeometry& fvGeometry, | ||
| 107 | const ElementVolumeVariables& elemVolVars, | ||
| 108 | const SubControlVolume &scv) const | ||
| 109 | { | ||
| 110 | |||
| 111 | 1070877 | NumEqVector source (0.0); | |
| 112 | 1070877 | source += bottomFrictionSource(element, fvGeometry, elemVolVars, scv); | |
| 113 | 1070877 | return source; | |
| 114 | } | ||
| 115 | |||
| 116 | /*! | ||
| 117 | * \brief Compute the source term due to bottom friction | ||
| 118 | */ | ||
| 119 | 1070877 | NumEqVector bottomFrictionSource(const Element& element, | |
| 120 | const FVElementGeometry& fvGeometry, | ||
| 121 | const ElementVolumeVariables& elemVolVars, | ||
| 122 | const SubControlVolume &scv) const | ||
| 123 | { | ||
| 124 | 1070877 | NumEqVector bottomFrictionSource(0.0); | |
| 125 | |||
| 126 | 1070877 | const auto& volVars = elemVolVars[scv]; | |
| 127 | 1070877 | Dune::FieldVector<Scalar, 2> bottomShearStress = | |
| 128 | 3212631 | this->spatialParams().frictionLaw(element, scv).bottomShearStress(volVars); | |
| 129 | |||
| 130 | 2141754 | bottomFrictionSource[0] = 0.0; | |
| 131 | 4283508 | bottomFrictionSource[1] = -bottomShearStress[0] / volVars.density(); | |
| 132 | 4283508 | bottomFrictionSource[2] = -bottomShearStress[1] / volVars.density(); | |
| 133 | |||
| 134 | 1070877 | return bottomFrictionSource; | |
| 135 | } | ||
| 136 | |||
| 137 | /*! | ||
| 138 | * \brief Specifies which kind of boundary condition should be | ||
| 139 | * used for which equation on a given boundary segment. | ||
| 140 | * | ||
| 141 | * \param globalPos The position for which the boundary type is set | ||
| 142 | */ | ||
| 143 | ✗ | BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const | |
| 144 | { | ||
| 145 | 544701 | BoundaryTypes bcTypes; | |
| 146 |
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544701 | bcTypes.setAllNeumann(); |
| 147 | ✗ | return bcTypes; | |
| 148 | } | ||
| 149 | |||
| 150 | /*! | ||
| 151 | * \brief Specifies the Neumann boundary | ||
| 152 | * | ||
| 153 | * We need the Riemann invariants to compute the values depending of the boundary type. | ||
| 154 | * Since we use a weak imposition we do not have a Dirichlet value. We impose fluxes | ||
| 155 | * based on q, h, etc. computed with the Riemann invariants | ||
| 156 | */ | ||
| 157 | 432591 | NeumannFluxes neumann(const Element& element, | |
| 158 | const FVElementGeometry& fvGeometry, | ||
| 159 | const ElementVolumeVariables& elemVolVars, | ||
| 160 | const ElementFluxVariablesCache& elemFluxVarsCache, | ||
| 161 | const SubControlVolumeFace& scvf) const | ||
| 162 | { | ||
| 163 | 432591 | NeumannFluxes values(0.0); | |
| 164 | |||
| 165 | 865182 | const auto& insideScv = fvGeometry.scv(scvf.insideScvIdx()); | |
| 166 | 432591 | const auto& insideVolVars = elemVolVars[insideScv]; | |
| 167 | 432591 | const auto& nxy = scvf.unitOuterNormal(); | |
| 168 | 865182 | const auto gravity = this->spatialParams().gravity(scvf.center()); | |
| 169 | 432591 | const auto boundaryStateVariables = [&]() -> std::array<Scalar, 3> | |
| 170 | { | ||
| 171 | // impose discharge at the left side | ||
| 172 |
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2162955 | if (scvf.center()[0] < this->gridGeometry().bBoxMin()[0] + eps_) |
| 173 | { | ||
| 174 | 2106 | return ShallowWater::fixedDischargeBoundary(discharge_, | |
| 175 | 4212 | insideVolVars.waterDepth(), insideVolVars.velocity(0), insideVolVars.velocity(1), | |
| 176 | 2106 | gravity, nxy | |
| 177 | 2106 | ); | |
| 178 | } | ||
| 179 | |||
| 180 | // impose water depth at the right side | ||
| 181 |
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2582910 | else if (scvf.center()[0] > this->gridGeometry().bBoxMax()[0] - eps_) |
| 182 | { | ||
| 183 | 8640 | return ShallowWater::fixedWaterDepthBoundary(hBoundary_, | |
| 184 | insideVolVars.waterDepth(), insideVolVars.velocity(0), insideVolVars.velocity(1), | ||
| 185 | gravity, nxy | ||
| 186 | 2160 | ); | |
| 187 | } | ||
| 188 | |||
| 189 | // no flow boundary | ||
| 190 | else | ||
| 191 | { | ||
| 192 | return {{ | ||
| 193 | insideVolVars.waterDepth(), | ||
| 194 | 856650 | -insideVolVars.velocity(0), | |
| 195 | 856650 | -insideVolVars.velocity(1) | |
| 196 | 1713300 | }}; | |
| 197 | } | ||
| 198 |
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865182 | }(); |
| 199 | |||
| 200 | 432591 | const auto riemannFlux = ShallowWater::riemannProblem( | |
| 201 | 865182 | insideVolVars.waterDepth(), boundaryStateVariables[0], | |
| 202 | 865182 | insideVolVars.velocity(0), boundaryStateVariables[1], | |
| 203 | 865182 | insideVolVars.velocity(1), boundaryStateVariables[2], | |
| 204 | insideVolVars.bedSurface(), insideVolVars.bedSurface(), | ||
| 205 | gravity, nxy | ||
| 206 | ); | ||
| 207 | |||
| 208 | 1297773 | values[Indices::massBalanceIdx] = riemannFlux[0]; | |
| 209 | 1297773 | values[Indices::velocityXIdx] = riemannFlux[1]; | |
| 210 | 1297773 | values[Indices::velocityYIdx] = riemannFlux[2]; | |
| 211 | |||
| 212 | 432591 | return values; | |
| 213 | } | ||
| 214 | |||
| 215 | /*! | ||
| 216 | * \brief Evaluate the initial values for a control volume | ||
| 217 | */ | ||
| 218 | ✗ | PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const | |
| 219 | { | ||
| 220 | 2500 | PrimaryVariables values(0.0); | |
| 221 | |||
| 222 | 5000 | values[0] = hBoundary_; | |
| 223 | 7500 | values[1] = abs(discharge_)/hBoundary_ *0.9; | |
| 224 | 5000 | values[2] = 0.0; | |
| 225 | |||
| 226 | ✗ | return values; | |
| 227 | }; | ||
| 228 | |||
| 229 | private: | ||
| 230 | Scalar hBoundary_; | ||
| 231 | Scalar bedSlope_; | ||
| 232 | Scalar discharge_; // discharge at the inflow boundary | ||
| 233 | static constexpr Scalar eps_ = 1.0e-6; | ||
| 234 | std::string name_; | ||
| 235 | }; | ||
| 236 | |||
| 237 | } // end namespace Dumux | ||
| 238 | |||
| 239 | #endif | ||
| 240 |