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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 OnePTests | ||
| 10 | * \brief The properties & problem setup for the convergence test | ||
| 11 | */ | ||
| 12 | #ifndef DUMUX_INCOMPRESSIBLE_ONEP_CONVERGENCETEST_PROBLEM_HH | ||
| 13 | #define DUMUX_INCOMPRESSIBLE_ONEP_CONVERGENCETEST_PROBLEM_HH | ||
| 14 | |||
| 15 | #include <cmath> | ||
| 16 | |||
| 17 | #include <dune/geometry/quadraturerules.hh> | ||
| 18 | |||
| 19 | #include <dumux/common/properties.hh> | ||
| 20 | #include <dumux/common/parameters.hh> | ||
| 21 | |||
| 22 | #include <dumux/common/boundarytypes.hh> | ||
| 23 | #include <dumux/common/numeqvector.hh> | ||
| 24 | #include <dumux/porousmediumflow/problem.hh> | ||
| 25 | |||
| 26 | namespace Dumux { | ||
| 27 | |||
| 28 | /*! | ||
| 29 | * \ingroup OnePTests | ||
| 30 | * \brief problem setup for the convergence test | ||
| 31 | */ | ||
| 32 | template <class TypeTag> | ||
| 33 | 16 | class OnePTestProblem : public PorousMediumFlowProblem<TypeTag> | |
| 34 | { | ||
| 35 | using ParentType = PorousMediumFlowProblem<TypeTag>; | ||
| 36 | |||
| 37 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 38 | using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>; | ||
| 39 | using NumEqVector = Dumux::NumEqVector<PrimaryVariables>; | ||
| 40 | using BoundaryTypes = Dumux::BoundaryTypes<GetPropType<TypeTag, Properties::ModelTraits>::numEq()>; | ||
| 41 | |||
| 42 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
| 43 | using FVElementGeometry = typename GridGeometry::LocalView; | ||
| 44 | using SubControlVolume = typename GridGeometry::SubControlVolume; | ||
| 45 | using GridView = typename GridGeometry::GridView; | ||
| 46 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 47 | using GlobalPosition = typename Element::Geometry::GlobalCoordinate; | ||
| 48 | |||
| 49 | public: | ||
| 50 | /*! | ||
| 51 | * \brief The constructor. | ||
| 52 | * \param gridGeometry The finite-volume grid geometry | ||
| 53 | */ | ||
| 54 | 16 | OnePTestProblem(std::shared_ptr<const GridGeometry> gridGeometry) | |
| 55 |
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48 | : ParentType(gridGeometry) |
| 56 | { | ||
| 57 |
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16 | periodLength_ = getParam<Scalar>("Problem.ExactSolPeriodLength"); |
| 58 |
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16 | sourceIntegrationOrder_ = getParam<Scalar>("Problem.SourceIntegrationOrder"); |
| 59 | 16 | } | |
| 60 | |||
| 61 | /*! | ||
| 62 | * \brief Specifies which kind of boundary condition should be | ||
| 63 | * used for which equation on a given boundary control volume. | ||
| 64 | * \param globalPos The position of the center of the finite volume | ||
| 65 | */ | ||
| 66 |
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5968 | BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const |
| 67 | { | ||
| 68 |
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5968 | BoundaryTypes values; |
| 69 | values.setAllDirichlet(); | ||
| 70 | return values; | ||
| 71 | } | ||
| 72 | |||
| 73 | /*! | ||
| 74 | * \brief Evaluates the boundary conditions for a Dirichlet control volume. | ||
| 75 | * \param globalPos The center of the finite volume for which it is to be set. | ||
| 76 | */ | ||
| 77 | 3568 | PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const | |
| 78 | { | ||
| 79 |
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3568 | return exact(globalPos, periodLength_); |
| 80 | } | ||
| 81 | |||
| 82 | /*! | ||
| 83 | * \brief Evaluates the source term within a sub-control volume. | ||
| 84 | * \param element The finite element | ||
| 85 | * \param fvGeometry The element finite-volume geometry | ||
| 86 | * \param elemVolVars The element volume variables | ||
| 87 | * \param scv The sub-control volume for which the source term is evaluated | ||
| 88 | */ | ||
| 89 | template <class ElementVolumeVariables> | ||
| 90 | 85000 | NumEqVector source(const Element &element, | |
| 91 | const FVElementGeometry &fvGeometry, | ||
| 92 | const ElementVolumeVariables &elemVolVars, | ||
| 93 | const SubControlVolume &scv) const | ||
| 94 | { | ||
| 95 |
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85000 | const auto &k = this->spatialParams().permeabilityAtPos(scv.center()); |
| 96 | |||
| 97 | using std::cos; | ||
| 98 | using std::sin; | ||
| 99 | |||
| 100 | 85000 | const auto eg = element.geometry(); | |
| 101 |
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85000 | const auto rule = Dune::QuadratureRules<Scalar, GridView::dimension>::rule(eg.type(), sourceIntegrationOrder_); |
| 102 | |||
| 103 | 85000 | Scalar source = 0.0; | |
| 104 |
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425000 | for (auto qp : rule) |
| 105 | { | ||
| 106 | 680000 | const auto p = eg.global(qp.position()); | |
| 107 | 340000 | const auto x = p[0]; | |
| 108 | 340000 | const auto y = p[1]; | |
| 109 | |||
| 110 | 340000 | const auto sineTerm = sin(periodLength_*x); | |
| 111 | 340000 | const auto cosTerm = cos(periodLength_*y); | |
| 112 | 340000 | const auto secondDeriv = -1.0*periodLength_*periodLength_*sineTerm*cosTerm; | |
| 113 | |||
| 114 | // derivative in x and y are identical | ||
| 115 | 680000 | source -= 2.0*k*secondDeriv*qp.weight()*eg.integrationElement(qp.position()); | |
| 116 | } | ||
| 117 | |||
| 118 | 85000 | source /= eg.volume(); | |
| 119 | 85000 | return NumEqVector(source); | |
| 120 | 85000 | } | |
| 121 | |||
| 122 | /*! | ||
| 123 | * \brief Returns the exact solution at a position. | ||
| 124 | * \param globalPos The center of the finite volume for which it is to be set. | ||
| 125 | */ | ||
| 126 | 224568 | static PrimaryVariables exact(const GlobalPosition& globalPos, const Scalar periodLength) | |
| 127 | { | ||
| 128 | 224568 | const auto x = globalPos[0]; | |
| 129 | 224568 | const auto y = globalPos[1]; | |
| 130 | |||
| 131 | using std::cos; | ||
| 132 | using std::sin; | ||
| 133 | |||
| 134 | 224568 | const auto u = sin(periodLength*x)*cos(periodLength*y); | |
| 135 | 224568 | return PrimaryVariables(u); | |
| 136 | } | ||
| 137 | |||
| 138 | private: | ||
| 139 | Scalar periodLength_; | ||
| 140 | Scalar sourceIntegrationOrder_; | ||
| 141 | }; | ||
| 142 | |||
| 143 | } // end namespace Dumux | ||
| 144 | |||
| 145 | #endif | ||
| 146 |