From 2315ad3965ae914cdfb5b41e7b1a3d704d1e0d7b Mon Sep 17 00:00:00 2001 From: Timo Koch <timo.koch@iws.uni-stuttgart.de> Date: Sat, 13 Jun 2020 17:11:00 +0200 Subject: [PATCH] [test] Add test for 2p rotation-symmetric toroid policy unstr. grid --- .../2p/implicit/CMakeLists.txt | 1 + .../implicit/rotationsymmetry/CMakeLists.txt | 11 + .../2p/implicit/rotationsymmetry/dome.geo | 8 + .../2p/implicit/rotationsymmetry/dome.msh | 1264 +++++++++++++++++ .../2p/implicit/rotationsymmetry/main.cc | 155 ++ .../2p/implicit/rotationsymmetry/params.input | 14 + .../2p/implicit/rotationsymmetry/problem.hh | 86 ++ .../implicit/rotationsymmetry/properties.hh | 99 ++ .../2p/implicit/rotationsymmetry/solution.png | Bin 0 -> 87867 bytes .../rotationsymmetry/spatialparams.hh | 77 + ...est_2p_rotationsymmetry_dome-reference.vtu | 883 ++++++++++++ 11 files changed, 2598 insertions(+) create mode 100644 test/porousmediumflow/2p/implicit/rotationsymmetry/CMakeLists.txt create mode 100644 test/porousmediumflow/2p/implicit/rotationsymmetry/dome.geo create mode 100644 test/porousmediumflow/2p/implicit/rotationsymmetry/dome.msh create mode 100644 test/porousmediumflow/2p/implicit/rotationsymmetry/main.cc create mode 100644 test/porousmediumflow/2p/implicit/rotationsymmetry/params.input create mode 100644 test/porousmediumflow/2p/implicit/rotationsymmetry/problem.hh create mode 100644 test/porousmediumflow/2p/implicit/rotationsymmetry/properties.hh create mode 100644 test/porousmediumflow/2p/implicit/rotationsymmetry/solution.png create mode 100644 test/porousmediumflow/2p/implicit/rotationsymmetry/spatialparams.hh create mode 100644 test/references/test_2p_rotationsymmetry_dome-reference.vtu diff --git a/test/porousmediumflow/2p/implicit/CMakeLists.txt b/test/porousmediumflow/2p/implicit/CMakeLists.txt index 069135d12e..8b02698b0c 100644 --- a/test/porousmediumflow/2p/implicit/CMakeLists.txt +++ b/test/porousmediumflow/2p/implicit/CMakeLists.txt @@ -4,3 +4,4 @@ add_subdirectory(cornerpoint) add_subdirectory(fracture) add_subdirectory(incompressible) add_subdirectory(nonisothermal) +add_subdirectory(rotationsymmetry) diff --git a/test/porousmediumflow/2p/implicit/rotationsymmetry/CMakeLists.txt b/test/porousmediumflow/2p/implicit/rotationsymmetry/CMakeLists.txt new file mode 100644 index 0000000000..8dd8521ce3 --- /dev/null +++ b/test/porousmediumflow/2p/implicit/rotationsymmetry/CMakeLists.txt @@ -0,0 +1,11 @@ +dune_symlink_to_source_files(FILES "params.input" "dome.msh") + +dumux_add_test(NAME test_2p_rotationsymmetry_dome + SOURCES main.cc + LABELS porousmediumflow 2p + CMAKE_GUARD dune-alugrid_FOUND + COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py + CMD_ARGS --script fuzzy + --files ${CMAKE_SOURCE_DIR}/test/references/test_2p_rotationsymmetry_dome-reference.vtu + ${CMAKE_CURRENT_BINARY_DIR}/test_2p_rotationsymmetry_dome-00002.vtu + --command "${CMAKE_CURRENT_BINARY_DIR}/test_2p_rotationsymmetry_dome -TimeLoop.TEnd 1e6") diff --git a/test/porousmediumflow/2p/implicit/rotationsymmetry/dome.geo b/test/porousmediumflow/2p/implicit/rotationsymmetry/dome.geo new file mode 100644 index 0000000000..00a21b18bb --- /dev/null +++ b/test/porousmediumflow/2p/implicit/rotationsymmetry/dome.geo @@ -0,0 +1,8 @@ +Point(1) = {0, 0, 0, 1.0}; +Point(2) = {0, 100, 0, 1.0}; +Point(3) = {100, 0, 0, 1.0}; +Circle(1) = {2, 1, 3}; +Line(2) = {2, 1}; +Line(3) = {1, 3}; +Curve Loop(1) = {2, 3, -1}; +Plane Surface(1) = {1}; diff --git a/test/porousmediumflow/2p/implicit/rotationsymmetry/dome.msh b/test/porousmediumflow/2p/implicit/rotationsymmetry/dome.msh new file mode 100644 index 0000000000..c689d06a4f --- /dev/null +++ b/test/porousmediumflow/2p/implicit/rotationsymmetry/dome.msh @@ -0,0 +1,1264 @@ +$MeshFormat +2.2 0 8 +$EndMeshFormat +$Nodes +418 +1 0 0 0 +2 0 100 0 +3 100 0 0 +4 4.906767442902359 99.87954562001808 0 +5 9.801714051886403 99.51847266535522 0 +6 14.67304747598722 98.91765099196111 0 +7 19.50903224507124 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76 391 416 +837 2 2 0 1 385 278 411 +$EndElements diff --git a/test/porousmediumflow/2p/implicit/rotationsymmetry/main.cc b/test/porousmediumflow/2p/implicit/rotationsymmetry/main.cc new file mode 100644 index 0000000000..f088097842 --- /dev/null +++ b/test/porousmediumflow/2p/implicit/rotationsymmetry/main.cc @@ -0,0 +1,155 @@ +// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- +// vi: set et ts=4 sw=4 sts=4: +/***************************************************************************** + * See the file COPYING for full copying permissions. * + * * + * This program is free software: you can redistribute it and/or modify * + * it under the terms of the GNU General Public License as published by * + * the Free Software Foundation, either version 3 of the License, or * + * (at your option) any later version. * + * * + * This program is distributed in the hope that it will be useful, * + * but WITHOUT ANY WARRANTY; without even the implied warranty of * + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * + * GNU General Public License for more details. * + * * + * You should have received a copy of the GNU General Public License * + * along with this program. If not, see <http://www.gnu.org/licenses/>. * + *****************************************************************************/ + +#include <config.h> + +#include <iostream> +#include <dune/common/parallel/mpihelper.hh> + +#include <dumux/common/properties.hh> +#include <dumux/common/parameters.hh> + +#include <dumux/linear/seqsolverbackend.hh> +#include <dumux/linear/linearsolvertraits.hh> +#include <dumux/nonlinear/newtonsolver.hh> +#include <dumux/assembly/fvassembler.hh> + +#include <dumux/io/vtkoutputmodule.hh> +#include <dumux/io/grid/gridmanager_alu.hh> + +#include "properties.hh" + +int main(int argc, char** argv) try +{ + using namespace Dumux; + + // initialize MPI, finalize is done automatically on exit + const auto& mpiHelper = Dune::MPIHelper::instance(argc, argv); + + // parse command line arguments and input file + Parameters::init(argc, argv); + + // the type tag (see properties.hh) + using TypeTag = Properties::TTag::TwoPRotationalSymmetryDome; + + // try to create a grid (from the given grid file or the input file) + GridManager<GetPropType<TypeTag, Properties::Grid>> gridManager; + gridManager.init(); + + // we compute on the leaf grid view + const auto& leafGridView = gridManager.grid().leafGridView(); + + // create the grid geometry + using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; + auto gridGeometry = std::make_shared<GridGeometry>(leafGridView); + gridGeometry->update(); + + // the problem (initial and boundary conditions) + using Problem = GetPropType<TypeTag, Properties::Problem>; + auto problem = std::make_shared<Problem>(gridGeometry); + + // the solution vector + using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>; + SolutionVector x; + problem->applyInitialSolution(x); + auto xOld = x; + + // the grid variables + using GridVariables = GetPropType<TypeTag, Properties::GridVariables>; + auto gridVariables = std::make_shared<GridVariables>(problem, gridGeometry); + gridVariables->init(x); + + // use non-conforming output for the test with interface solver + VtkOutputModule<GridVariables, SolutionVector> vtkWriter(*gridVariables, x, problem->name()); + GetPropType<TypeTag, Properties::IOFields>::initOutputModule(vtkWriter); // Add model specific output fields + vtkWriter.write(0.0); + + // get some time loop parameters + using Scalar = GetPropType<TypeTag, Properties::Scalar>; + const auto tEnd = getParam<Scalar>("TimeLoop.TEnd"); + const auto maxDt = getParam<Scalar>("TimeLoop.MaxTimeStepSize"); + const auto dt = getParam<Scalar>("TimeLoop.DtInitial"); + + // instantiate time loop + auto timeLoop = std::make_shared<TimeLoop<Scalar>>(0.0, dt, tEnd); + timeLoop->setMaxTimeStepSize(maxDt); + + // the assembler with time loop for instationary problem + using Assembler = FVAssembler<TypeTag, DiffMethod::numeric>; + auto assembler = std::make_shared<Assembler>(problem, gridGeometry, gridVariables, timeLoop, xOld); + + // the linear solver + using LinearSolver = ILU0RestartedGMResBackend; + auto linearSolver = std::make_shared<LinearSolver>(); + + // the non-linear solver + using NewtonSolver = Dumux::NewtonSolver<Assembler, LinearSolver>; + NewtonSolver nonLinearSolver(assembler, linearSolver); + + // time loop + const int outputInterval = getParam<int>("Vtk.OutputInterval"); + timeLoop->start(); do + { + // solve the non-linear system with time step control + nonLinearSolver.solve(x, *timeLoop); + + // make the new solution the old solution + xOld = x; + gridVariables->advanceTimeStep(); + + // advance to the time loop to the next step + timeLoop->advanceTimeStep(); + + // write vtk output every timeStepInterval time step + if (timeLoop->timeStepIndex() % outputInterval == 0) + vtkWriter.write(timeLoop->time()); + + // report statistics of this time step + timeLoop->reportTimeStep(); + + // set new dt as suggested by the Newton solver + timeLoop->setTimeStepSize(nonLinearSolver.suggestTimeStepSize(timeLoop->timeStepSize())); + + } while (!timeLoop->finished()); + + // output some Newton statistics + nonLinearSolver.report(); + + timeLoop->finalize(leafGridView.comm()); + + //////////////////////////////////////////////////////////// + // finalize, print dumux message to say goodbye + //////////////////////////////////////////////////////////// + + // print dumux end message + if (mpiHelper.rank() == 0) + Parameters::print(); + + return 0; +} // end main +catch (const Dumux::ParameterException &e) +{ + std::cerr << std::endl << e << " ---> Abort!" << std::endl; + return 1; +} +catch (const Dune::Exception &e) +{ + std::cerr << "Dune reported error: " << e << " ---> Abort!" << std::endl; + return 2; +} diff --git a/test/porousmediumflow/2p/implicit/rotationsymmetry/params.input b/test/porousmediumflow/2p/implicit/rotationsymmetry/params.input new file mode 100644 index 0000000000..efe4baef16 --- /dev/null +++ b/test/porousmediumflow/2p/implicit/rotationsymmetry/params.input @@ -0,0 +1,14 @@ +[TimeLoop] +DtInitial = 1e2 # [s] +TEnd = 1e7 # [s] +MaxTimeStepSize = 1e4 + +[Grid] +File = dome.msh + +[Problem] +Name = test_2p_rotationsymmetry_dome +EnableGravity = true + +[Vtk] +OutputInterval = 50 diff --git a/test/porousmediumflow/2p/implicit/rotationsymmetry/problem.hh b/test/porousmediumflow/2p/implicit/rotationsymmetry/problem.hh new file mode 100644 index 0000000000..d742db3f70 --- /dev/null +++ b/test/porousmediumflow/2p/implicit/rotationsymmetry/problem.hh @@ -0,0 +1,86 @@ +// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- +// vi: set et ts=4 sw=4 sts=4: +/***************************************************************************** + * See the file COPYING for full copying permissions. * + * * + * This program is free software: you can redistribute it and/or modify * + * it under the terms of the GNU General Public License as published by * + * the Free Software Foundation, either version 3 of the License, or * + * (at your option) any later version. * + * * + * This program is distributed in the hope that it will be useful, * + * but WITHOUT ANY WARRANTY; without even the implied warranty of * + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * + * GNU General Public License for more details. * + * * + * You should have received a copy of the GNU General Public License * + * along with this program. If not, see <http://www.gnu.org/licenses/>. * + *****************************************************************************/ + +#ifndef DUMUX_TEST_TWOP_ROTATIONALSYMMETRY_PROBLEM_HH +#define DUMUX_TEST_TWOP_ROTATIONALSYMMETRY_PROBLEM_HH + +#include <dumux/common/properties.hh> +#include <dumux/common/boundarytypes.hh> +#include <dumux/porousmediumflow/problem.hh> + +namespace Dumux { + +/*! + * \brief A rotational symmetric 2p problem: water and air separate in a density-driven process in a dome shaped domain + */ +template<class TypeTag> +class TwoPRotationalSymmetryProblem : public PorousMediumFlowProblem<TypeTag> +{ + using ParentType = PorousMediumFlowProblem<TypeTag>; + using GridView = typename GetPropType<TypeTag, Properties::GridGeometry>::GridView; + using Element = typename GridView::template Codim<0>::Entity; + using Scalar = GetPropType<TypeTag, Properties::Scalar>; + using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>; + using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; + using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>; + using BoundaryTypes = Dumux::BoundaryTypes<PrimaryVariables::size()>; + using GlobalPosition = typename Element::Geometry::GlobalCoordinate; + +public: + TwoPRotationalSymmetryProblem(std::shared_ptr<const GridGeometry> gridGeometry) + : ParentType(gridGeometry) + { + FluidSystem::init(/*tempMin=*/293.0, /*tempMax=*/294.0, /*numTemp=*/2, + /*pMin=*/1.0e4, /*pMax=*/1.0e6, /*numP=*/200); + } + + /*! + * \brief The boundary types at position globalPos + */ + BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const + { + BoundaryTypes values; + values.setAllNeumann(); + return values; + } + + /*! + * \brief The initial values at position globalPos + */ + PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const + { + PrimaryVariables values; + const Scalar depth = this->gridGeometry().bBoxMax()[1] - globalPos[1]; + // hydrostatic pressure + values[0] = 1e5 - 1000*this->spatialParams().gravity(globalPos)[1]*depth; + // start with saturation 0.5 -> density driven demixing + values[1] = 0.5; + return values; + } + + /*! + * \brief The temperature \f$\mathrm{[K]}\f$ in the domain + */ + Scalar temperature() const + { return 293.15; } +}; + +} // end namespace Dumux + +#endif diff --git a/test/porousmediumflow/2p/implicit/rotationsymmetry/properties.hh b/test/porousmediumflow/2p/implicit/rotationsymmetry/properties.hh new file mode 100644 index 0000000000..f6eb95b78e --- /dev/null +++ b/test/porousmediumflow/2p/implicit/rotationsymmetry/properties.hh @@ -0,0 +1,99 @@ +// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- +// vi: set et ts=4 sw=4 sts=4: +/***************************************************************************** + * See the file COPYING for full copying permissions. * + * * + * This program is free software: you can redistribute it and/or modify * + * it under the terms of the GNU General Public License as published by * + * the Free Software Foundation, either version 3 of the License, or * + * (at your option) any later version. * + * * + * This program is distributed in the hope that it will be useful, * + * but WITHOUT ANY WARRANTY; without even the implied warranty of * + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * + * GNU General Public License for more details. * + * * + * You should have received a copy of the GNU General Public License * + * along with this program. If not, see <http://www.gnu.org/licenses/>. * + *****************************************************************************/ + +#ifndef DUMUX_TEST_TWOP_ROTATIONALSYMMETRY_PROPERTIES_HH +#define DUMUX_TEST_TWOP_ROTATIONALSYMMETRY_PROPERTIES_HH + +#include <dune/alugrid/grid.hh> + +#include <dumux/common/properties.hh> + +#include <dumux/discretization/box.hh> +#include <dumux/discretization/rotationsymmetricgridgeometrytraits.hh> + +#include <dumux/porousmediumflow/2p/model.hh> + +#include <dumux/material/components/tabulatedcomponent.hh> +#include <dumux/material/components/h2o.hh> +#include <dumux/material/components/air.hh> +#include <dumux/material/fluidsystems/1pliquid.hh> +#include <dumux/material/fluidsystems/1pgas.hh> +#include <dumux/material/fluidsystems/2pimmiscible.hh> + +#include "problem.hh" +#include "spatialparams.hh" + +namespace Dumux::Properties { + +namespace TTag { +struct TwoPRotationalSymmetryDome +{ using InheritsFrom = std::tuple<TwoP, BoxModel>; }; +} // end namespace TTag + +// Set the grid type +template<class TypeTag> +struct Grid<TypeTag, TTag::TwoPRotationalSymmetryDome> +{ using type = Dune::ALUGrid<2, 2, Dune::simplex, Dune::conforming>; }; + +// Set the problem type +template<class TypeTag> +struct Problem<TypeTag, TTag::TwoPRotationalSymmetryDome> +{ using type = TwoPRotationalSymmetryProblem<TypeTag>; }; + +// Set the fluid system +template<class TypeTag> +struct FluidSystem<TypeTag, TTag::TwoPRotationalSymmetryDome> +{ + using Scalar = GetPropType<TypeTag, Properties::Scalar>; + using WettingPhase = FluidSystems::OnePLiquid<Scalar, Components::TabulatedComponent<Components::H2O<Scalar>, false>>; + using NonwettingPhase = FluidSystems::OnePGas<Scalar, Components::TabulatedComponent<Components::Air<Scalar>, false>>; + using type = FluidSystems::TwoPImmiscible<Scalar, WettingPhase, NonwettingPhase>; +}; + +// Set the spatial parameters +template<class TypeTag> +struct SpatialParams<TypeTag, TTag::TwoPRotationalSymmetryDome> +{ + using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; + using Scalar = GetPropType<TypeTag, Properties::Scalar>; + using type = TwoPRotationalSymmetrySpatialParams<GridGeometry, Scalar>; +}; + +// Set the rotational symmetric grid geometry +template<class TypeTag> +struct GridGeometry<TypeTag, TTag::TwoPRotationalSymmetryDome> +{ + static constexpr bool enableCache = getPropValue<TypeTag, Properties::EnableGridGeometryCache>(); + using GridView = typename GetPropType<TypeTag, Properties::Grid>::LeafGridView; + using Scalar = GetPropType<TypeTag, Properties::Scalar>; + using Traits = RotationSymmetricGridGeometryTraits<BoxDefaultGridGeometryTraits<GridView>, RotationPolicy::toroid>; + using type = BoxFVGridGeometry<Scalar, GridView, enableCache, Traits>; +}; + +// Caching options +template<class TypeTag> +struct EnableGridVolumeVariablesCache<TypeTag, TTag::TwoPRotationalSymmetryDome> { static constexpr bool value = true; }; +template<class TypeTag> +struct EnableGridFluxVariablesCache<TypeTag, TTag::TwoPRotationalSymmetryDome> { static constexpr bool value = true; }; +template<class TypeTag> +struct EnableGridGeometryCache<TypeTag, TTag::TwoPRotationalSymmetryDome> { static constexpr bool value = true; }; + +} // end namespace Dumux::Properties + +#endif diff --git a/test/porousmediumflow/2p/implicit/rotationsymmetry/solution.png b/test/porousmediumflow/2p/implicit/rotationsymmetry/solution.png new file mode 100644 index 0000000000000000000000000000000000000000..979feb3239a6cc08f15da2b4f13ef24917fba960 GIT binary patch literal 87867 zcmdqJ19zlfusz(dZ5tCC6Wg|J+qP}n*2K0awryvUN%CfXcisQ}4sZABwN5|XtE;+B z)!w_#Io%QRvSM)1*w6p~08T<&SP=jKg#rM8QXzrAucX+>oB#l@gcd?V@)kx$0DyQz zN*aW^(m1;RNh&ERX)`~iqM%(M>e+9rVo5aXVA6PbL2*bbS7U|#mVCqh$m+<|W#F+w zVsz^${Tl>j<z$xzeW4>6WPY{Ym+hCCm+9^=9;f3e&Xbv(8+bq^qjdr$jtU5&SUP<y z9Gt$aw5&lQJ_x8eFgOFmv30EQApr^sP(JL=*N+=pek)3~E8`yD>#w@PnIj1f03l=i z!Y^c5_`^ZKZY^#C2LV8kelbgS7DIr1fHI&I6C83)dISsFHO(P2kmQi<t|1^^2}r)M 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useful, * + * but WITHOUT ANY WARRANTY; without even the implied warranty of * + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * + * GNU General Public License for more details. * + * * + * You should have received a copy of the GNU General Public License * + * along with this program. If not, see <http://www.gnu.org/licenses/>. * + *****************************************************************************/ +/*! + * \file + * \brief The spatial params 2p rotational symmetry test + */ +#ifndef DUMUX_TEST_TWOP_ROTATIONALSYMMETRY_SPATIAL_PARAMS_HH +#define DUMUX_TEST_TWOP_ROTATIONALSYMMETRY_SPATIAL_PARAMS_HH + +#include <dumux/material/spatialparams/fv.hh> +#include <dumux/material/fluidmatrixinteractions/2p/regularizedbrookscorey.hh> +#include <dumux/material/fluidmatrixinteractions/2p/efftoabslaw.hh> + +namespace Dumux { + +template<class GridGeometry, class Scalar> +class TwoPRotationalSymmetrySpatialParams +: public FVSpatialParams<GridGeometry, Scalar, TwoPRotationalSymmetrySpatialParams<GridGeometry, Scalar>> +{ + using ThisType = TwoPRotationalSymmetrySpatialParams<GridGeometry, Scalar>; + using ParentType = FVSpatialParams<GridGeometry, Scalar, ThisType>; + + using Element = typename GridGeometry::GridView::template Codim<0>::Entity; + using GlobalPosition = typename Element::Geometry::GlobalCoordinate; +public: + using MaterialLaw = EffToAbsLaw<RegularizedBrooksCorey<Scalar>>; + using MaterialLawParams = typename MaterialLaw::Params; + using PermeabilityType = Scalar; + + TwoPRotationalSymmetrySpatialParams(std::shared_ptr<const GridGeometry> gridGeometry) + : ParentType(gridGeometry) + { + // residual saturations + materialLawParams_.setSwr(0.0); + materialLawParams_.setSnr(0.0); + + // parameters for the material law + materialLawParams_.setPe(0.0); + materialLawParams_.setLambda(2.0); + } + + PermeabilityType permeabilityAtPos(const GlobalPosition& globalPos) const + { return 1e-11; } + + Scalar porosityAtPos(const GlobalPosition& globalPos) const + { return 0.4; } + + const MaterialLawParams& materialLawParamsAtPos(const GlobalPosition& globalPos) const + { return materialLawParams_; } + + template<class FluidSystem> + int wettingPhaseAtPos(const GlobalPosition& globalPos) const + { return FluidSystem::phase0Idx; } + +private: + MaterialLawParams materialLawParams_; +}; + +} // end namespace Dumux + +#endif diff --git a/test/references/test_2p_rotationsymmetry_dome-reference.vtu b/test/references/test_2p_rotationsymmetry_dome-reference.vtu new file mode 100644 index 0000000000..5d87141da8 --- /dev/null +++ b/test/references/test_2p_rotationsymmetry_dome-reference.vtu @@ -0,0 +1,883 @@ +<?xml version="1.0"?> +<VTKFile type="UnstructuredGrid" version="0.1" byte_order="LittleEndian"> + <UnstructuredGrid> + <Piece NumberOfCells="762" NumberOfPoints="418"> + <PointData Scalars="S_liq"> + <DataArray type="Float32" Name="S_liq" NumberOfComponents="1" format="ascii"> + 0.993144 0.987879 0.98962 0.993821 0.989028 0.993496 0.985678 0.985262 0.984165 0.981629 0.978844 0.960212 + 0.981236 0.957571 0.981299 0.957596 0.977927 0.983448 0.985641 0.988836 0.988749 0.993395 0.99338 0.988808 + 0.985671 0.985662 0.988954 0.993467 0.993959 0.99285 0.989443 0.985667 0.987453 0.983843 0.983292 0.981525 + 0.976423 0.948351 0.977192 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