Line | Branch | Exec | Source |
---|---|---|---|
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 OnePTests | ||
10 | * \brief A test problem for the 1p model. A pipe system with circular cross-section | ||
11 | * and a branching point embedded in a three-dimensional world | ||
12 | */ | ||
13 | |||
14 | #ifndef DUMUX_ONEP_TUBES_TEST_PROBLEM_HH | ||
15 | #define DUMUX_ONEP_TUBES_TEST_PROBLEM_HH | ||
16 | |||
17 | #include <dune/geometry/quadraturerules.hh> | ||
18 | #include <dune/localfunctions/lagrange/lagrangelfecache.hh> | ||
19 | |||
20 | #include <dumux/common/properties.hh> | ||
21 | #include <dumux/common/parameters.hh> | ||
22 | #include <dumux/common/boundarytypes.hh> | ||
23 | #include <dumux/common/numeqvector.hh> | ||
24 | |||
25 | #include <dumux/discretization/elementsolution.hh> | ||
26 | #include <dumux/porousmediumflow/problem.hh> | ||
27 | |||
28 | namespace Dumux { | ||
29 | |||
30 | /*! | ||
31 | * \ingroup OnePTests | ||
32 | * \brief A test problem for the 1p model: A pipe system with circular cross-section | ||
33 | * and a branching point embedded in a three-dimensional world | ||
34 | */ | ||
35 | template <class TypeTag> | ||
36 | class TubesTestProblem : public PorousMediumFlowProblem<TypeTag> | ||
37 | { | ||
38 | using ParentType = PorousMediumFlowProblem<TypeTag>; | ||
39 | using GridView = typename GetPropType<TypeTag, Properties::GridGeometry>::GridView; | ||
40 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
41 | using ElementVolumeVariables = typename GetPropType<TypeTag, Properties::GridVolumeVariables>::LocalView; | ||
42 | |||
43 | // Grid and world dimension | ||
44 | static const int dim = GridView::dimension; | ||
45 | static const int dimWorld = GridView::dimensionworld; | ||
46 | |||
47 | using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices; | ||
48 | enum { | ||
49 | // indices of the primary variables | ||
50 | conti0EqIdx = Indices::conti0EqIdx, | ||
51 | pressureIdx = Indices::pressureIdx | ||
52 | }; | ||
53 | |||
54 | using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>; | ||
55 | using BoundaryTypes = Dumux::BoundaryTypes<GetPropType<TypeTag, Properties::ModelTraits>::numEq()>; | ||
56 | using NumEqVector = Dumux::NumEqVector<PrimaryVariables>; | ||
57 | using Element = typename GridView::template Codim<0>::Entity; | ||
58 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
59 | using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>; | ||
60 | using FVElementGeometry = typename GetPropType<TypeTag, Properties::GridGeometry>::LocalView; | ||
61 | using SubControlVolume = typename FVElementGeometry::SubControlVolume; | ||
62 | using GlobalPosition = typename Element::Geometry::GlobalCoordinate; | ||
63 | |||
64 | enum { isBox = GetPropType<TypeTag, Properties::GridGeometry>::discMethod == DiscretizationMethods::box }; | ||
65 | |||
66 | public: | ||
67 | 12 | TubesTestProblem(std::shared_ptr<const GridGeometry> gridGeometry) | |
68 |
8/22✓ Branch 1 taken 12 times.
✗ Branch 2 not taken.
✓ Branch 4 taken 12 times.
✗ Branch 5 not taken.
✓ Branch 8 taken 12 times.
✗ Branch 9 not taken.
✓ Branch 10 taken 12 times.
✗ Branch 11 not taken.
✗ Branch 12 not taken.
✓ Branch 13 taken 12 times.
✓ Branch 15 taken 12 times.
✗ Branch 16 not taken.
✓ Branch 18 taken 12 times.
✗ Branch 19 not taken.
✓ Branch 21 taken 12 times.
✗ Branch 22 not taken.
✗ Branch 23 not taken.
✗ Branch 24 not taken.
✗ Branch 25 not taken.
✗ Branch 26 not taken.
✗ Branch 30 not taken.
✗ Branch 31 not taken.
|
36 | : ParentType(gridGeometry) |
69 | { | ||
70 |
2/4✓ Branch 1 taken 12 times.
✗ Branch 2 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 12 times.
|
12 | name_ = getParam<std::string>("Problem.Name"); |
71 | |||
72 | //get hMax_ of the grid | ||
73 | 12 | hMax_ = 0.0; | |
74 |
5/6✓ Branch 3 taken 4032 times.
✓ Branch 4 taken 12 times.
✓ Branch 5 taken 4032 times.
✓ Branch 6 taken 12 times.
✓ Branch 8 taken 4032 times.
✗ Branch 9 not taken.
|
8100 | for (const auto& element : elements(gridGeometry->gridView())) |
75 |
5/6✓ Branch 1 taken 4032 times.
✗ Branch 2 not taken.
✓ Branch 3 taken 3528 times.
✓ Branch 4 taken 504 times.
✓ Branch 5 taken 3528 times.
✓ Branch 6 taken 504 times.
|
7560 | hMax_ = std::max(element.geometry().volume(), hMax_); |
76 | 12 | } | |
77 | |||
78 | /*! | ||
79 | * \name Problem parameters | ||
80 | */ | ||
81 | // \{ | ||
82 | |||
83 | /*! | ||
84 | * \brief The problem name. | ||
85 | * | ||
86 | * This is used as a prefix for files generated by the simulation. | ||
87 | */ | ||
88 | const std::string& name() const | ||
89 | { | ||
90 |
1/2✓ Branch 1 taken 12 times.
✗ Branch 2 not taken.
|
12 | return name_; |
91 | } | ||
92 | |||
93 | // \} | ||
94 | /*! | ||
95 | * \name Boundary conditions | ||
96 | */ | ||
97 | // \{ | ||
98 | |||
99 | /*! | ||
100 | * \brief Specifies which kind of boundary condition should be | ||
101 | * used for which equation on a given boundary control volume. | ||
102 | * | ||
103 | * \param globalPos The position of the center of the finite volume | ||
104 | */ | ||
105 | ✗ | BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const | |
106 | { | ||
107 |
3/8✓ Branch 0 taken 85 times.
✗ Branch 1 not taken.
✗ Branch 2 not taken.
✗ Branch 3 not taken.
✓ Branch 4 taken 90 times.
✗ Branch 5 not taken.
✓ Branch 6 taken 180 times.
✗ Branch 7 not taken.
|
355 | BoundaryTypes bcTypes; |
108 |
3/8✓ Branch 0 taken 85 times.
✗ Branch 1 not taken.
✗ Branch 2 not taken.
✗ Branch 3 not taken.
✓ Branch 4 taken 90 times.
✗ Branch 5 not taken.
✓ Branch 6 taken 180 times.
✗ Branch 7 not taken.
|
355 | bcTypes.setAllDirichlet(); |
109 | ✗ | return bcTypes; | |
110 | } | ||
111 | |||
112 | /*! | ||
113 | * \brief Evaluates the boundary conditions for a Dirichlet control volume. | ||
114 | * | ||
115 | * \param globalPos The center of the finite volume which ought to be set. | ||
116 | * | ||
117 | * For this method, the \a values parameter stores primary variables. | ||
118 | */ | ||
119 | ✗ | PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const | |
120 | { | ||
121 | 175 | return PrimaryVariables(0.0); | |
122 | } | ||
123 | |||
124 | // \} | ||
125 | |||
126 | /*! | ||
127 | * \name Volume terms | ||
128 | */ | ||
129 | // \{ | ||
130 | |||
131 | /*! | ||
132 | * \brief Evaluates the source term for all phases within a given | ||
133 | * sub-control volume. | ||
134 | * | ||
135 | * This is the method for the case where the source term is | ||
136 | * potentially solution dependent and requires some quantities that | ||
137 | * are specific to the fully-implicit method. | ||
138 | * | ||
139 | * \param element The finite element | ||
140 | * \param fvGeometry The finite-volume geometry | ||
141 | * \param elemVolVars All volume variables for the element | ||
142 | * \param scv The sub-control volume | ||
143 | * | ||
144 | * For this method, the \a values parameter stores the conserved quantity rate | ||
145 | * generated or annihilated per volume unit. Positive values mean | ||
146 | * that the conserved quantity is created, negative ones mean that it vanishes. | ||
147 | * E.g. for the mass balance that would be a mass rate in \f$ [ kg / (m^3 \cdot s)] \f$. | ||
148 | */ | ||
149 | 45312 | NumEqVector source(const Element &element, | |
150 | const FVElementGeometry& fvGeometry, | ||
151 | const ElementVolumeVariables& elemVolVars, | ||
152 | const SubControlVolume &scv) const | ||
153 | { | ||
154 |
2/2✓ Branch 0 taken 4152 times.
✓ Branch 1 taken 29064 times.
|
45312 | NumEqVector source(0.0); |
155 | |||
156 |
2/2✓ Branch 0 taken 4152 times.
✓ Branch 1 taken 29064 times.
|
45312 | const auto& globalPos = scv.center(); |
157 |
2/2✓ Branch 0 taken 4152 times.
✓ Branch 1 taken 29064 times.
|
45312 | const auto& volVars = elemVolVars[scv]; |
158 |
4/4✓ Branch 0 taken 5664 times.
✓ Branch 1 taken 39648 times.
✓ Branch 2 taken 5664 times.
✓ Branch 3 taken 39648 times.
|
90624 | const auto K = this->spatialParams().permeability(element, scv, EmptyElementSolution{}); |
159 | |||
160 | using std::sin; | ||
161 |
4/4✓ Branch 0 taken 5664 times.
✓ Branch 1 taken 39648 times.
✓ Branch 2 taken 5664 times.
✓ Branch 3 taken 39648 times.
|
90624 | if (globalPos[2] > 0.5 - eps_) |
162 | 11328 | source[conti0EqIdx] = K/volVars.viscosity()*volVars.density() | |
163 | 11328 | *4.0*4.0*M_PI*M_PI*sin(4.0*M_PI*globalPos[2]); | |
164 | else | ||
165 | // the "/3.0" stems from the coordinate transformations on the lower branches | ||
166 | 79296 | source[conti0EqIdx] = K/volVars.viscosity()*volVars.density() | |
167 | 79296 | *4.0*4.0*M_PI*M_PI*sin(4.0*M_PI*globalPos[2])/3.0; | |
168 | |||
169 | 45312 | return source; | |
170 | } | ||
171 | |||
172 | /*! | ||
173 | * \brief Evaluates the initial value for a control volume. | ||
174 | * | ||
175 | * For this method, the \a priVars parameter stores primary | ||
176 | * variables. | ||
177 | */ | ||
178 | ✗ | PrimaryVariables initialAtPos(const GlobalPosition& globalPos) const | |
179 | { | ||
180 | 4038 | return PrimaryVariables(0.0); | |
181 | } | ||
182 | |||
183 | // \} | ||
184 | |||
185 | 12 | void outputL2Norm(const SolutionVector solution) const | |
186 | { | ||
187 | // calculate the discrete L2-Norm | ||
188 | 12 | Scalar lTwoNorm = 0.0; | |
189 | |||
190 | // get the Gaussian quadrature rule for intervals | ||
191 | 12 | const auto& quad = Dune::QuadratureRules<Scalar, dim>::rule(Dune::GeometryTypes::line, 1); | |
192 | |||
193 | 12 | const auto& gg = this->gridGeometry(); | |
194 |
4/4✓ Branch 2 taken 4032 times.
✓ Branch 3 taken 12 times.
✓ Branch 4 taken 4032 times.
✓ Branch 5 taken 12 times.
|
4056 | for (const auto& element : elements(gg.gridView())) |
195 | { | ||
196 | 8064 | const auto eIdx = gg.elementMapper().index(element); | |
197 | 4032 | const auto geometry = element.geometry(); | |
198 |
4/4✓ Branch 0 taken 4032 times.
✓ Branch 1 taken 4032 times.
✓ Branch 2 taken 4032 times.
✓ Branch 3 taken 4032 times.
|
20160 | for(auto&& qp : quad) |
199 | { | ||
200 | 8064 | const auto globalPos = geometry.global(qp.position()); | |
201 | 8064 | const Scalar pe = exactPressure_(globalPos); | |
202 | 4032 | const Scalar integrationElement = geometry.integrationElement(qp.position()); | |
203 | 4032 | Scalar p = 0.0; | |
204 | if (!isBox) | ||
205 | 2016 | p = solution[eIdx][pressureIdx]; | |
206 | else | ||
207 | { | ||
208 | // do interpolation with ansatz functions | ||
209 |
1/2✓ Branch 1 taken 2016 times.
✗ Branch 2 not taken.
|
4032 | std::vector<Dune::FieldVector<Scalar, 1> > shapeValues; |
210 |
1/4✓ Branch 2 taken 2016 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✗ Branch 5 not taken.
|
2016 | const auto& localFiniteElement = feCache_.get(geometry.type()); |
211 |
2/4✓ Branch 1 taken 2016 times.
✗ Branch 2 not taken.
✓ Branch 4 taken 2016 times.
✗ Branch 5 not taken.
|
4032 | localFiniteElement.localBasis().evaluateFunction(qp.position(), shapeValues); |
212 |
4/4✓ Branch 0 taken 4032 times.
✓ Branch 1 taken 2016 times.
✓ Branch 2 taken 4032 times.
✓ Branch 3 taken 2016 times.
|
10080 | for (unsigned int i = 0; i < shapeValues.size(); ++i) |
213 |
2/4✓ Branch 1 taken 4032 times.
✗ Branch 2 not taken.
✓ Branch 4 taken 4032 times.
✗ Branch 5 not taken.
|
8064 | p += shapeValues[i]*solution[gg.dofMapper().subIndex(element, i, dim)][pressureIdx]; |
214 | } | ||
215 | 4032 | lTwoNorm += (p - pe)*(p - pe)*qp.weight()*integrationElement; | |
216 | } | ||
217 | } | ||
218 | 12 | lTwoNorm = std::sqrt(lTwoNorm); | |
219 | |||
220 | // write the norm into a log file | ||
221 | 24 | std::ofstream logFile; | |
222 |
3/8✓ Branch 1 taken 12 times.
✗ Branch 2 not taken.
✓ Branch 4 taken 12 times.
✗ Branch 5 not taken.
✓ Branch 6 taken 12 times.
✗ Branch 7 not taken.
✗ Branch 8 not taken.
✗ Branch 9 not taken.
|
12 | logFile.open(this->name() + ".log", std::ios::app); |
223 |
3/6✓ Branch 2 taken 12 times.
✗ Branch 3 not taken.
✓ Branch 6 taken 12 times.
✗ Branch 7 not taken.
✓ Branch 9 taken 12 times.
✗ Branch 10 not taken.
|
36 | logFile << "[ConvergenceTest] L2-norm(pressure) = " << lTwoNorm << " hMax = " << hMax_ << std::endl; |
224 |
1/2✓ Branch 1 taken 12 times.
✗ Branch 2 not taken.
|
12 | logFile.close(); |
225 | 12 | } | |
226 | |||
227 | private: | ||
228 | |||
229 | ✗ | Scalar exactPressure_(const GlobalPosition& globalPos) const | |
230 | { | ||
231 | using std::sin; | ||
232 | 8064 | return sin(4.0*M_PI*globalPos[2]); | |
233 | } | ||
234 | |||
235 | static constexpr Scalar eps_ = 1e-8; | ||
236 | std::string name_; | ||
237 | |||
238 | Scalar hMax_; | ||
239 | |||
240 | typename Dune::LagrangeLocalFiniteElementCache<Scalar, Scalar, dim, 1> feCache_; | ||
241 | }; | ||
242 | |||
243 | } // end namespace Dumux | ||
244 | |||
245 | #endif | ||
246 |