From 0164b03584e7721f8c3ddf000af71947052d9dcc Mon Sep 17 00:00:00 2001
From: Timo Koch <timo.koch@iws.uni-stuttgart.de>
Date: Mon, 19 Dec 2022 20:16:57 +0100
Subject: [PATCH] [test][ff][donea] Add test with stabilized Box-Box scheme
---
.../navierstokes/donea/CMakeLists.txt | 18 +
test/freeflow/navierstokes/donea/problem.hh | 84 +
.../freeflow/navierstokes/donea/properties.hh | 24 +-
..._stokes_donea_box_stabilized-reference.vtu | 4080 +++++++++++++++++
4 files changed, 4203 insertions(+), 3 deletions(-)
create mode 100644 test/references/test_ff_stokes_donea_box_stabilized-reference.vtu
diff --git a/test/freeflow/navierstokes/donea/CMakeLists.txt b/test/freeflow/navierstokes/donea/CMakeLists.txt
index 4a52e84ef3..b404712503 100644
--- a/test/freeflow/navierstokes/donea/CMakeLists.txt
+++ b/test/freeflow/navierstokes/donea/CMakeLists.txt
@@ -70,6 +70,23 @@ dumux_add_test(NAME test_ff_stokes_donea
--command "${CMAKE_CURRENT_BINARY_DIR}/test_ff_stokes_donea params.input
-Problem.Name test_ff_stokes_donea -Problem.UseNeumann false")
+dumux_add_test(NAME test_ff_stokes_donea_box_stabilized
+ LABELS freeflow navierstokes
+ SOURCES main.cc
+ CMAKE_GUARD "( dune-alugrid_FOUND AND HAVE_UMFPACK )"
+ COMPILE_DEFINITIONS ENABLECACHING=1
+ COMPILE_DEFINITIONS MOMENTUM_DISCRETIZATION_MODEL=BoxModel
+ COMPILE_DEFINITIONS NAVIER_STOKES_MOMENTUM_MODEL=NavierStokesMomentumCVFE
+ COMPILE_DEFINITIONS MASS_DISCRETIZATION_MODEL=BoxModel
+ COMPILE_DEFINITIONS ALUGRID_CELL_TYPE=simplex
+ COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+ CMD_ARGS --script fuzzy
+ --files ${CMAKE_SOURCE_DIR}/test/references/test_ff_stokes_donea_box_stabilized-reference.vtu
+ ${CMAKE_CURRENT_BINARY_DIR}/test_ff_stokes_donea_box_stabilized-00001.vtu
+ --command "${CMAKE_CURRENT_BINARY_DIR}/test_ff_stokes_donea_box_stabilized params.input
+ -Problem.Name test_ff_stokes_donea_box_stabilized -Problem.UseNeumann true
+ -Problem.AddBoxStabilization true")
+
dumux_add_test(NAME test_ff_stokes_donea_donut
LABELS freeflow navierstokes
TARGET test_ff_stokes_donea
@@ -146,6 +163,7 @@ dumux_add_test(NAME test_ff_stokes_donea_momentum_diamond_simplex_parallel
--command "${MPIEXEC} -np 4 ${CMAKE_CURRENT_BINARY_DIR}/test_ff_stokes_donea_momentum_diamond_simplex params.input
-Problem.Name donea_momentum_simplex -Problem.UseNeumann true -FreeFlow.EnableUnsymmetrizedVelocityGradient true")
+# tests with pq1bubble
dumux_add_test(NAME test_ff_stokes_donea_momentum_pq1bubble_quad
SOURCES main_momentum.cc
LABELS freeflow navierstokes donea
diff --git a/test/freeflow/navierstokes/donea/problem.hh b/test/freeflow/navierstokes/donea/problem.hh
index bb25d9ca75..ea2412e68a 100644
--- a/test/freeflow/navierstokes/donea/problem.hh
+++ b/test/freeflow/navierstokes/donea/problem.hh
@@ -25,10 +25,13 @@
#define DUMUX_DONEA_TEST_PROBLEM_HH
#include <dune/common/fmatrix.hh>
+#include <dumux/common/math.hh>
+#include <dumux/geometry/diameter.hh>
#include <dumux/common/properties.hh>
#include <dumux/common/parameters.hh>
#include <dumux/freeflow/navierstokes/mass/1p/advectiveflux.hh>
+#include <dumux/freeflow/navierstokes/mass/1p/localresidual.hh>
namespace Dumux {
@@ -71,6 +74,8 @@ public:
: ParentType(gridGeometry, couplingManager)
{
useNeumann_ = getParam<bool>("Problem.UseNeumann", false);
+ addBoxStabilization_ = getParam<bool>("Problem.AddBoxStabilization", false);
+ boxStabilizationParameter_ = getParam<Scalar>("Problem.StabilizationParameter", 0.1);
mu_ = getParam<Scalar>("Component.LiquidKinematicViscosity", 1.0);
}
@@ -78,6 +83,8 @@ public:
: ParentType(gridGeometry)
{
useNeumann_ = getParam<bool>("Problem.UseNeumann", false);
+ addBoxStabilization_ = getParam<bool>("Problem.AddBoxStabilization", false);
+ boxStabilizationParameter_ = getParam<Scalar>("Problem.StabilizationParameter", 0.1);
mu_ = getParam<Scalar>("Component.LiquidKinematicViscosity", 1.0);
}
@@ -189,11 +196,31 @@ public:
{
const auto insideDensity = elemVolVars[scvf.insideScvIdx()].density();
values[Indices::conti0EqIdx] = this->faceVelocity(element, fvGeometry, scvf) * insideDensity * scvf.unitOuterNormal();
+ if (addBoxStabilization_)
+ values[Indices::conti0EqIdx] += stabilizationFlux_(element, fvGeometry, elemVolVars, elemFluxVarsCache, scvf);
}
return values;
}
+ template<class ElementVolumeVariables, class ElementFluxVariablesCache>
+ Sources auxiliaryFlux(const Element& element,
+ const FVElementGeometry& fvGeometry,
+ const ElementVolumeVariables& elemVolVars,
+ const ElementFluxVariablesCache& elemFluxVarsCache,
+ const SubControlVolumeFace& scvf) const
+ {
+ // flux stabilization for the unstable Box-Box (P1-P1-CVFE) discretization scheme
+ Sources flux(0.0);
+ if (addBoxStabilization_)
+ {
+ flux += stabilizationFlux_(element, fvGeometry, elemVolVars, elemFluxVarsCache, scvf);
+ using Extrusion = Extrusion_t<typename FVElementGeometry::GridGeometry>;
+ flux *= Extrusion::area(fvGeometry, scvf);
+ }
+ return flux;
+ }
+
/*!
* \brief Return the analytical solution of the problem at a given position
*
@@ -284,6 +311,54 @@ public:
{ return DirichletValues(analyticalSolution(scv.dofPosition())[Indices::pressureIdx]); }
private:
+ template<class ElementVolumeVariables, class ElementFluxVariablesCache>
+ Sources stabilizationFlux_(const Element& element,
+ const FVElementGeometry& fvGeometry,
+ const ElementVolumeVariables& elemVolVars,
+ const ElementFluxVariablesCache& elemFluxVarsCache,
+ const SubControlVolumeFace& scvf) const
+ {
+ Sources flux(0.0);
+
+ if constexpr (!ParentType::isMomentumProblem() && GridGeometry::discMethod == DiscretizationMethods::box)
+ {
+ if (addBoxStabilization_)
+ {
+ // add -rho*C*h^2/mu*(grad P - f) as stabilization, see for instance
+ // Quarteroni & Ruiz-Baier (2011) https://doi.org/10.1007/s00211-011-0373-4
+ // (note that most stabilization terms vanish due to the use of linear basis functions)
+ const auto gradP = [&]
+ {
+ if (scvf.boundary())
+ {
+ const auto& globalPos = scvf.ipGlobal();
+ return Dune::FieldVector<Scalar, dimWorld>({
+ dxP_(globalPos[0], globalPos[1]),
+ dyP_(globalPos[0], globalPos[1])
+ });
+ }
+ else
+ {
+ const auto& fluxVarCache = elemFluxVarsCache[scvf];
+ Dune::FieldVector<Scalar, dimWorld> gradP(0.0);
+ for (const auto& scv : scvs(fvGeometry))
+ gradP.axpy(elemVolVars[scv].pressure(0), fluxVarCache.gradN(scv.indexInElement()));
+ return gradP;
+ }
+ }();
+
+ const auto rho = densityAtPos(scvf.ipGlobal());
+ const auto mu = effectiveViscosityAtPos(scvf.ipGlobal());
+ const auto h = diameter(element.geometry());
+
+ const auto f = this->sourceAtPos(scvf.ipGlobal());
+ flux[0] = -1.0*vtmv(scvf.unitOuterNormal(), boxStabilizationParameter_*h*h*rho/mu, gradP - f);
+ }
+ }
+
+ return flux;
+ }
+
Scalar p_(Scalar x) const
{ return x*(1.0-x); }
@@ -339,9 +414,18 @@ private:
{ return -f2_(y)*dddf2_(x); }
bool useNeumann_;
+ bool addBoxStabilization_;
+ Scalar boxStabilizationParameter_;
Scalar mu_;
};
+// enable auxiliary flux evaluation in the mass local residual
+// this is used to implement the stabilization for the Box-Box discretization method
+template <class TypeTag, class BaseProblem>
+struct ImplementsAuxiliaryFluxNavierStokesMassOneP<DoneaTestProblem<TypeTag, BaseProblem>>
+: public std::true_type
+{};
+
} // end namespace Dumux
#endif
diff --git a/test/freeflow/navierstokes/donea/properties.hh b/test/freeflow/navierstokes/donea/properties.hh
index e2c90a4fc2..06818d87e5 100644
--- a/test/freeflow/navierstokes/donea/properties.hh
+++ b/test/freeflow/navierstokes/donea/properties.hh
@@ -28,6 +28,22 @@
#define ENABLECACHING 0
#endif
+#ifndef NAVIER_STOKES_MOMENTUM_MODEL
+#define NAVIER_STOKES_MOMENTUM_MODEL NavierStokesMomentum
+#endif
+
+#ifndef MOMENTUM_DISCRETIZATION_MODEL
+#define MOMENTUM_DISCRETIZATION_MODEL FaceCenteredStaggeredModel
+#endif
+
+#ifndef MASS_DISCRETIZATION_MODEL
+#define MASS_DISCRETIZATION_MODEL CCTpfaModel
+#endif
+
+#ifndef ALUGRID_CELL_TYPE
+#define ALUGRID_CELL_TYPE cube
+#endif
+
#if HAVE_DUNE_ALUGRID
#include <dune/alugrid/grid.hh>
#else
@@ -36,8 +52,10 @@
#include <dumux/discretization/fcstaggered.hh>
#include <dumux/discretization/cctpfa.hh>
+#include <dumux/discretization/box.hh>
#include <dumux/freeflow/navierstokes/momentum/model.hh>
+#include <dumux/freeflow/navierstokes/momentum/cvfe/model.hh>
#include <dumux/freeflow/navierstokes/mass/1p/model.hh>
#include <dumux/freeflow/navierstokes/momentum/problem.hh>
#include <dumux/freeflow/navierstokes/mass/problem.hh>
@@ -53,8 +71,8 @@ namespace Dumux::Properties {
// Create new type tags
namespace TTag {
struct DoneaTest {};
-struct DoneaTestMomentum { using InheritsFrom = std::tuple<DoneaTest, NavierStokesMomentum, FaceCenteredStaggeredModel>; };
-struct DoneaTestMass { using InheritsFrom = std::tuple<DoneaTest, NavierStokesMassOneP, CCTpfaModel>; };
+struct DoneaTestMomentum { using InheritsFrom = std::tuple<DoneaTest, NAVIER_STOKES_MOMENTUM_MODEL, MOMENTUM_DISCRETIZATION_MODEL>; };
+struct DoneaTestMass { using InheritsFrom = std::tuple<DoneaTest, NavierStokesMassOneP, MASS_DISCRETIZATION_MODEL>; };
} // end namespace TTag
template<class TypeTag>
@@ -75,7 +93,7 @@ struct FluidSystem<TypeTag, TTag::DoneaTest>
template<class TypeTag>
struct Grid<TypeTag, TTag::DoneaTest>
#if HAVE_DUNE_ALUGRID
-{ using type = Dune::ALUGrid<2, 2, Dune::cube, Dune::nonconforming>; };
+{ using type = Dune::ALUGrid<2, 2, Dune::ALUGRID_CELL_TYPE, Dune::nonconforming>; };
#else
{ using type = Dune::YaspGrid<2>; };
#endif
diff --git a/test/references/test_ff_stokes_donea_box_stabilized-reference.vtu b/test/references/test_ff_stokes_donea_box_stabilized-reference.vtu
new file mode 100644
index 0000000000..8f8369d5b0
--- /dev/null
+++ b/test/references/test_ff_stokes_donea_box_stabilized-reference.vtu
@@ -0,0 +1,4080 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="0.1" byte_order="LittleEndian">
+ <UnstructuredGrid>
+ <Piece NumberOfCells="3200" NumberOfPoints="1681">
+ <PointData Scalars="p">
+ <DataArray type="Float32" Name="p" NumberOfComponents="1" format="ascii">
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GitLab