diff --git a/dumux/discretization/staggered/freeflow/fickslaw.hh b/dumux/discretization/staggered/freeflow/fickslaw.hh
index f56fde0bd6e2a068ef0e220105513e0b7d6df13f..105badc410ecfe6fb8ebbc520cbd0761ad36cc15 100644
--- a/dumux/discretization/staggered/freeflow/fickslaw.hh
+++ b/dumux/discretization/staggered/freeflow/fickslaw.hh
@@ -25,7 +25,7 @@
#define DUMUX_DISCRETIZATION_STAGGERED_FICKS_LAW_HH
#include <numeric>
-#include <dune/common/float_cmp.hh>
+#include <dune/common/fvector.hh>
#include <dumux/common/properties.hh>
#include <dumux/common/parameters.hh>
@@ -48,30 +48,20 @@ template <class TypeTag>
class FicksLawImplementation<TypeTag, DiscretizationMethod::staggered >
{
using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
- using Problem = typename GET_PROP_TYPE(TypeTag, Problem);
using FVGridGeometry = typename GET_PROP_TYPE(TypeTag, FVGridGeometry);
using FVElementGeometry = typename FVGridGeometry::LocalView;
using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace;
using GridView = typename FVGridGeometry::GridView;
using Element = typename GridView::template Codim<0>::Entity;
using ElementVolumeVariables = typename GET_PROP_TYPE(TypeTag, GridVolumeVariables)::LocalView;
- using CellCenterPrimaryVariables = typename GET_PROP_TYPE(TypeTag, CellCenterPrimaryVariables);
- using Indices = typename GET_PROP_TYPE(TypeTag, ModelTraits)::Indices;
- using FluidSystem = typename GET_PROP_TYPE(TypeTag, FluidSystem);
-
- static constexpr int dim = GridView::dimension;
- static constexpr int dimWorld = GridView::dimensionworld;
-
using ModelTraits = typename GET_PROP_TYPE(TypeTag, ModelTraits);
+ using Indices = typename ModelTraits::Indices;
+ using FluidSystem = typename GET_PROP_TYPE(TypeTag, FluidSystem);
static constexpr int numComponents = ModelTraits::numComponents();
- static constexpr bool useMoles = GET_PROP_VALUE(TypeTag, UseMoles);
+ using NumEqVector = Dune::FieldVector<Scalar, numComponents>;
- static_assert(ModelTraits::numPhases() == 1, "Only one phase allowed supported!");
-
- enum {
- conti0EqIdx = Indices::conti0EqIdx
- };
+ static_assert(ModelTraits::numPhases() == 1, "Only one phase supported!");
public:
// state the discretization method this implementation belongs to
@@ -81,90 +71,68 @@ public:
//! We don't cache anything for this law
using Cache = FluxVariablesCaching::EmptyDiffusionCache;
- static CellCenterPrimaryVariables flux(const Problem& problem,
- const Element& element,
- const FVElementGeometry& fvGeometry,
- const ElementVolumeVariables& elemVolVars,
- const SubControlVolumeFace &scvf)
+ template<class Problem>
+ static NumEqVector flux(const Problem& problem,
+ const Element& element,
+ const FVElementGeometry& fvGeometry,
+ const ElementVolumeVariables& elemVolVars,
+ const SubControlVolumeFace &scvf)
{
- CellCenterPrimaryVariables flux(0.0);
+ NumEqVector flux(0.0);
+
+ // There is no diffusion over outflow boundaries (grad x == 0).
+ // We assume that if an outflow BC is set for the first transported component, this
+ // also holds for all other components.
+ if (scvf.boundary() && problem.boundaryTypes(element, scvf).isOutflow(Indices::conti0EqIdx + 1))
+ return flux;
+ const auto& insideScv = fvGeometry.scv(scvf.insideScvIdx());
const auto& insideVolVars = elemVolVars[scvf.insideScvIdx()];
const auto& outsideVolVars = elemVolVars[scvf.outsideScvIdx()];
+ const Scalar insideDistance = (insideScv.dofPosition() - scvf.ipGlobal()).two_norm();
const Scalar insideMolarDensity = insideVolVars.molarDensity();
- for(int compIdx = 0; compIdx < numComponents; ++compIdx)
+ for (int compIdx = 0; compIdx < numComponents; ++compIdx)
{
- if(compIdx == FluidSystem::getMainComponent(0))
+ if (compIdx == FluidSystem::getMainComponent(0))
continue;
- // get equation index
- const auto eqIdx = conti0EqIdx + compIdx;
+ const Scalar insideMoleFraction = insideVolVars.moleFraction(compIdx);
+ const Scalar outsideMoleFraction = outsideVolVars.moleFraction(compIdx);
- if(scvf.boundary())
+ const Scalar insideD = insideVolVars.effectiveDiffusivity(0, compIdx) * insideVolVars.extrusionFactor();
+
+ if (scvf.boundary())
{
- const auto bcTypes = problem.boundaryTypes(element, scvf);
- if(bcTypes.isOutflow(eqIdx) || bcTypes.isSymmetry())
- return flux;
+ flux[compIdx] = insideMolarDensity * insideD
+ * (insideMoleFraction - outsideMoleFraction) / insideDistance;
}
+ else
+ {
+ const auto& outsideScv = fvGeometry.scv(scvf.outsideScvIdx());
+ const Scalar outsideD = outsideVolVars.effectiveDiffusivity(0, compIdx) * outsideVolVars.extrusionFactor();
+ const Scalar outsideDistance = (outsideScv.dofPosition() - scvf.ipGlobal()).two_norm();
+ const Scalar outsideMolarDensity = outsideVolVars.molarDensity();
- const Scalar tij = transmissibility_(fvGeometry, elemVolVars, scvf, compIdx);
- const Scalar insideMoleFraction = insideVolVars.moleFraction(compIdx);
+ const Scalar avgDensity = 0.5*(insideMolarDensity + outsideMolarDensity);
+ const Scalar avgD = harmonicMean(insideD, outsideD, insideDistance, outsideDistance);
- const Scalar outsideMolarDensity = scvf.boundary() ? insideVolVars.molarDensity() : outsideVolVars.molarDensity();
- const Scalar avgDensity = 0.5*(insideMolarDensity + outsideMolarDensity);
- const Scalar outsideMoleFraction = outsideVolVars.moleFraction(compIdx);
- flux[compIdx] = avgDensity * tij * (insideMoleFraction - outsideMoleFraction);
+ flux[compIdx] = avgDensity * avgD
+ * (insideMoleFraction - outsideMoleFraction) / (insideDistance + outsideDistance);
+ }
}
// Fick's law (for binary systems) states that the net flux of moles within the bulk phase has to be zero:
// If a given amount of molecules A travel into one direction, the same amount of molecules B have to
// go into the opposite direction.
const Scalar cumulativeFlux = std::accumulate(flux.begin(), flux.end(), 0.0);
- flux[FluidSystem::getMainComponent(0)] = - cumulativeFlux;
-
- return flux;
- }
-
- static Scalar transmissibility_(const FVElementGeometry& fvGeometry,
- const ElementVolumeVariables& elemVolVars,
- const SubControlVolumeFace& scvf,
- const int compIdx)
- {
- Scalar tij = 0.0;
- const auto& insideScv = fvGeometry.scv(scvf.insideScvIdx());
- const auto& insideVolVars = elemVolVars[scvf.insideScvIdx()];
-
- const Scalar insideDistance = (insideScv.dofPosition() - scvf.ipGlobal()).two_norm();
- const Scalar insideD = insideVolVars.effectiveDiffusivity(0, compIdx);
- const Scalar ti = calculateOmega_(insideDistance, insideD, insideVolVars.extrusionFactor());
+ flux[FluidSystem::getMainComponent(0)] = -cumulativeFlux;
- if(scvf.boundary())
- tij = scvf.area() * ti;
- else
- {
- const auto& outsideScv = fvGeometry.scv(scvf.outsideScvIdx());
- const auto& outsideVolVars = elemVolVars[scvf.outsideScvIdx()];
- const Scalar outsideDistance = (outsideScv.dofPosition() - scvf.ipGlobal()).two_norm();
- const Scalar outsideD = outsideVolVars.effectiveDiffusivity(0, compIdx);
- const Scalar tj = calculateOmega_(outsideDistance, outsideD, outsideVolVars.extrusionFactor());
-
- tij = scvf.area()*(ti * tj)/(ti + tj);
- }
- return tij;
- }
+ flux *= scvf.area();
- static Scalar calculateOmega_(const Scalar distance,
- const Scalar D,
- const Scalar extrusionFactor)
- {
- Scalar omega = D / distance;
- omega *= extrusionFactor;
-
- return omega;
+ return flux;
}
-
};
} // end namespace
diff --git a/dumux/discretization/staggered/freeflow/fourierslaw.hh b/dumux/discretization/staggered/freeflow/fourierslaw.hh
index bdc4512a0e893659c597e35533dd29f2cf46ccbc..17f569d9522b3e52190f3d3855198ea796f53854 100644
--- a/dumux/discretization/staggered/freeflow/fourierslaw.hh
+++ b/dumux/discretization/staggered/freeflow/fourierslaw.hh
@@ -44,13 +44,11 @@ template <class TypeTag>
class FouriersLawImplementation<TypeTag, DiscretizationMethod::staggered >
{
using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
- using Problem = typename GET_PROP_TYPE(TypeTag, Problem);
- using FVElementGeometry = typename GET_PROP_TYPE(TypeTag, FVGridGeometry)::LocalView;
- using SubControlVolume = typename FVElementGeometry::SubControlVolume;
+ using FVGridGeometry = typename GET_PROP_TYPE(TypeTag, FVGridGeometry);
+ using FVElementGeometry = typename FVGridGeometry::LocalView;
using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace;
- using GridView = typename GET_PROP_TYPE(TypeTag, GridView);
using ElementVolumeVariables = typename GET_PROP_TYPE(TypeTag, GridVolumeVariables)::LocalView;
- using Element = typename GridView::template Codim<0>::Entity;
+ using Element = typename FVGridGeometry::GridView::template Codim<0>::Entity;
using Indices = typename GET_PROP_TYPE(TypeTag, ModelTraits)::Indices;
enum { energyBalanceIdx = Indices::energyBalanceIdx };
@@ -64,6 +62,7 @@ public:
using Cache = FluxVariablesCaching::EmptyDiffusionCache;
//! calculate the diffusive energy fluxes
+ template<class Problem>
static Scalar flux(const Problem& problem,
const Element& element,
const FVElementGeometry& fvGeometry,
@@ -72,36 +71,34 @@ public:
{
Scalar flux(0.0);
- if(scvf.boundary())
- {
- const auto bcTypes = problem.boundaryTypes(element, scvf);
- if(bcTypes.isOutflow(Indices::energyBalanceIdx) || bcTypes.isSymmetry())
- return flux;
- }
+ // conductive energy flux is zero for outflow boundary conditions
+ if (scvf.boundary() && problem.boundaryTypes(element, scvf).isOutflow(Indices::energyBalanceIdx))
+ return flux;
const auto& insideScv = fvGeometry.scv(scvf.insideScvIdx());
- const auto& outsideScv = fvGeometry.scv(scvf.outsideScvIdx());
const auto& insideVolVars = elemVolVars[scvf.insideScvIdx()];
const auto& outsideVolVars = elemVolVars[scvf.outsideScvIdx()];
- // effective conductivity tensors
- auto insideLambda = insideVolVars.effectiveThermalConductivity();
- auto outsideLambda = outsideVolVars.effectiveThermalConductivity();
+ const Scalar insideTemperature = insideVolVars.temperature();
+ const Scalar outsideTemperature = outsideVolVars.temperature();
- // scale by extrusion factor
- insideLambda *= insideVolVars.extrusionFactor();
- outsideLambda *= outsideVolVars.extrusionFactor();
+ const Scalar insideLambda = insideVolVars.effectiveThermalConductivity() * insideVolVars.extrusionFactor();
+ const Scalar insideDistance = (insideScv.dofPosition() - scvf.ipGlobal()).two_norm();
- // the resulting averaged conductivity tensor
- const auto lambda = harmonicMean(insideLambda, outsideLambda);
-
- const Scalar insideTemp = insideVolVars.temperature();
- const Scalar outsideTemp = outsideVolVars.temperature();
+ if (scvf.boundary())
+ {
+ flux = insideLambda * (insideTemperature - outsideTemperature) / insideDistance;
+ }
+ else
+ {
+ const auto& outsideScv = fvGeometry.scv(scvf.outsideScvIdx());
+ const Scalar outsideLambda = outsideVolVars.effectiveThermalConductivity() * outsideVolVars.extrusionFactor();
+ const Scalar outsideDistance = (outsideScv.dofPosition() - scvf.ipGlobal()).two_norm();
+ const Scalar avgLambda = harmonicMean(insideLambda, outsideLambda, insideDistance, outsideDistance);
- const Scalar distance = scvf.boundary() ? (insideScv.dofPosition() - scvf.ipGlobal()).two_norm()
- : (outsideScv.dofPosition() - insideScv.dofPosition()).two_norm();
+ flux = avgLambda * (insideTemperature - outsideTemperature) / (insideDistance + outsideDistance);
+ }
- flux = lambda / distance * (insideTemp - outsideTemp);
flux *= scvf.area();
return flux;
}
diff --git a/dumux/discretization/staggered/freeflow/gridvolumevariables.hh b/dumux/discretization/staggered/freeflow/gridvolumevariables.hh
index 09d72d437a8eb7d8830a05660d7bf7e1bce654d8..2d0a37f1b7d55f8ccc7f651eab8408e4fca71222 100644
--- a/dumux/discretization/staggered/freeflow/gridvolumevariables.hh
+++ b/dumux/discretization/staggered/freeflow/gridvolumevariables.hh
@@ -25,6 +25,7 @@
#define DUMUX_DISCRETIZATION_STAGGERED_GRID_VOLUMEVARIABLES_HH
#include <dune/common/exceptions.hh>
+#include <dune/common/rangeutilities.hh>
//! make the local view function available whenever we use this class
#include <dumux/discretization/localview.hh>
@@ -105,6 +106,18 @@ struct StaggeredGridDefaultGridVolumeVariablesTraits
else if(bcTypes.isOutflow(eqIdx) || bcTypes.isSymmetry() || bcTypes.isNeumann(eqIdx))
boundaryPriVars[eqIdx] = sol[scvf.insideScvIdx()][eqIdx - offset];
}
+
+ // make sure that a potential outflow condition is set for all components
+ std::array<bool, VolumeVariables::numComponents() - 1> isComponentOutflow;
+ for(int compIdx = 1; compIdx < VolumeVariables::numComponents(); ++compIdx)
+ {
+ const auto eqIdx = VolumeVariables::Indices::conti0EqIdx + compIdx;
+ isComponentOutflow[compIdx -1] = bcTypes.isOutflow(eqIdx);
+ }
+
+ if(Dune::any_true(isComponentOutflow) && !Dune::all_true(isComponentOutflow))
+ DUNE_THROW(Dune::InvalidStateException, "Outflow condition must be set for all components!");
+
return boundaryPriVars;
}
};
diff --git a/dumux/freeflow/compositional/volumevariables.hh b/dumux/freeflow/compositional/volumevariables.hh
index 90d576626a2babacaf83bdc9cf3af359c16f1a7c..438367072435c25650af8424df7e2e6d990c25db 100644
--- a/dumux/freeflow/compositional/volumevariables.hh
+++ b/dumux/freeflow/compositional/volumevariables.hh
@@ -43,8 +43,6 @@ class FreeflowNCVolumeVariables : public FreeFlowVolumeVariables< Traits, Freefl
using Scalar = typename Traits::PrimaryVariables::value_type;
- static constexpr int numComponents = Traits::ModelTraits::numComponents();
-
static constexpr bool useMoles = Traits::ModelTraits::useMoles();
public:
@@ -77,9 +75,9 @@ public:
typename FluidSystem::ParameterCache paramCache;
paramCache.updateAll(fluidState_);
- for (unsigned int compIIdx = 0; compIIdx < numComponents; ++compIIdx)
+ for (unsigned int compIIdx = 0; compIIdx < ParentType::numComponents(); ++compIIdx)
{
- for (unsigned int compJIdx = 0; compJIdx < numComponents; ++compJIdx)
+ for (unsigned int compJIdx = 0; compJIdx < ParentType::numComponents(); ++compJIdx)
{
// binary diffusion coefficients
if(compIIdx != compJIdx)
@@ -115,7 +113,7 @@ public:
Scalar sumFracMinorComp = 0.0;
- for(int compIdx = 1; compIdx < numComponents; ++compIdx)
+ for(int compIdx = 1; compIdx < ParentType::numComponents(); ++compIdx)
{
// temporary add 1.0 to remove spurious differences in mole fractions
// which are below the numerical accuracy
@@ -280,7 +278,7 @@ public:
protected:
FluidState fluidState_;
- std::array<std::array<Scalar, numComponents>, numComponents> diffCoefficient_ = {};
+ std::array<std::array<Scalar, ParentType::numComponents()>, ParentType::numComponents()> diffCoefficient_ = {};
};
} // end namespace Dumux
diff --git a/dumux/freeflow/navierstokes/staggered/localresidual.hh b/dumux/freeflow/navierstokes/staggered/localresidual.hh
index 9b7e6fa865b3d116fe2563e2d361cd6d401b8342..485204b8d4ae494a32267c55c14e63be81e8b707 100644
--- a/dumux/freeflow/navierstokes/staggered/localresidual.hh
+++ b/dumux/freeflow/navierstokes/staggered/localresidual.hh
@@ -225,39 +225,47 @@ protected:
if (scvf.boundary())
{
const auto bcTypes = problem.boundaryTypes(element, scvf);
- const auto extrusionFactor = elemVolVars[scvf.insideScvIdx()].extrusionFactor();
- // treat Dirichlet and outflow BCs
- FluxVariables fluxVars;
- auto boundaryFlux = fluxVars.computeMassFlux(problem, element, fvGeometry, elemVolVars,
- elemFaceVars, scvf, elemFluxVarsCache[scvf]);
+ // no fluxes occur over symmetry boundaries
+ if (!bcTypes.isSymmetry())
+ {
+ const auto extrusionFactor = elemVolVars[scvf.insideScvIdx()].extrusionFactor();
- EnergyLocalResidual::heatFlux(boundaryFlux, problem, element, fvGeometry, elemVolVars, elemFaceVars, scvf);
+ // treat Dirichlet and outflow BCs
+ FluxVariables fluxVars;
+ auto boundaryFlux = fluxVars.computeMassFlux(problem, element, fvGeometry, elemVolVars,
+ elemFaceVars, scvf, elemFluxVarsCache[scvf]);
- // treat Neumann BCs, i.e. overwrite certain fluxes by user-specified values
- static constexpr auto numEqCellCenter = CellCenterResidual::dimension;
- if(bcTypes.hasNeumann())
- {
- for(int eqIdx = 0; eqIdx < numEqCellCenter; ++eqIdx)
+ EnergyLocalResidual::heatFlux(boundaryFlux, problem, element, fvGeometry, elemVolVars, elemFaceVars, scvf);
+
+ // treat Neumann BCs, i.e. overwrite certain fluxes by user-specified values
+ static constexpr auto numEqCellCenter = CellCenterResidual::dimension;
+ if(bcTypes.hasNeumann())
{
- if(bcTypes.isNeumann(eqIdx + cellCenterOffset))
+ for(int eqIdx = 0; eqIdx < numEqCellCenter; ++eqIdx)
{
- boundaryFlux[eqIdx] = problem.neumann(element, fvGeometry, elemVolVars, elemFaceVars, scvf)[eqIdx + cellCenterOffset]
- * extrusionFactor * scvf.area();
+ if(bcTypes.isNeumann(eqIdx + cellCenterOffset))
+ {
+ boundaryFlux[eqIdx] = problem.neumann(element, fvGeometry, elemVolVars, elemFaceVars, scvf)[eqIdx + cellCenterOffset]
+ * extrusionFactor * scvf.area();
+ }
}
}
- }
- for(int eqIdx = 0; eqIdx < numEqCellCenter; ++eqIdx)
- {
- // use a wall function
- if(problem.useWallFunction(element, scvf, eqIdx + cellCenterOffset))
+
+ // account for wall functions, if used
+ for(int eqIdx = 0; eqIdx < numEqCellCenter; ++eqIdx)
{
- boundaryFlux[eqIdx] = problem.wallFunction(element, fvGeometry, elemVolVars, elemFaceVars, scvf)[eqIdx]
- * extrusionFactor * scvf.area();
+ // use a wall function
+ if(problem.useWallFunction(element, scvf, eqIdx + cellCenterOffset))
+ {
+ boundaryFlux[eqIdx] = problem.wallFunction(element, fvGeometry, elemVolVars, elemFaceVars, scvf)[eqIdx]
+ * extrusionFactor * scvf.area();
+ }
}
- }
- residual += boundaryFlux;
+ // add the flux over the boundary scvf to the residual
+ residual += boundaryFlux;
+ }
// if specified, set a fixed value at the center of a cell at the boundary
const auto& scv = fvGeometry.scv(scvf.insideScvIdx());
diff --git a/dumux/freeflow/nonisothermal/localresidual.hh b/dumux/freeflow/nonisothermal/localresidual.hh
index e3032d77f3b52f21dadc82c3d642ff11a7c5a516..630c23d5de6ee0e5795dc450f27affb451c2db82 100644
--- a/dumux/freeflow/nonisothermal/localresidual.hh
+++ b/dumux/freeflow/nonisothermal/localresidual.hh
@@ -152,7 +152,7 @@ public:
ParentType::heatFlux(flux, problem, element, fvGeometry, elemVolVars, elemFaceVars, scvf);
static constexpr auto localEnergyBalanceIdx = NumEqVector::dimension - 1;
- NumEqVector diffusiveFlux = FluxVariables::MolecularDiffusionType::flux(problem, element, fvGeometry, elemVolVars, scvf);
+ auto diffusiveFlux = FluxVariables::MolecularDiffusionType::flux(problem, element, fvGeometry, elemVolVars, scvf);
for (int compIdx = 0; compIdx < FluxVariables::numComponents; ++compIdx)
{
const bool insideIsUpstream = scvf.directionSign() == sign(diffusiveFlux[compIdx]);
diff --git a/test/references/pipe_zeroeqni.vtu b/test/references/pipe_zeroeqni.vtu
index f59a68e3e632b3a5039fcc84b538edbbfaaaa6aa..8ff3df817dfcc22abd301d0fc5318bb3e603f0c3 100644
--- a/test/references/pipe_zeroeqni.vtu
+++ b/test/references/pipe_zeroeqni.vtu
@@ -28,13 +28,13 @@
100000 100000 100000 100000
</DataArray>
<DataArray type="Float32" Name="rhoMolar" NumberOfComponents="1" format="ascii">
- 41.9468 41.504 41.1585 40.9013 40.7179 40.591 40.5038 40.443 40.4193 40.4444 40.4348 40.4197
- 40.4079 40.398 40.3889 40.3802 42.394 42.2697 42.1299 41.9952 41.875 41.7708 41.6809 41.605
- 41.551 41.5474 41.5377 41.5226 41.503 41.4811 41.4584 41.4359 42.4671 42.4458 42.4118 42.3689
- 42.3213 42.2718 42.2222 42.1746 42.1362 42.0884 42.0434 42.0018 41.9631 41.927 41.8931 41.862
- 42.4759 42.474 42.4702 42.4644 42.457 42.4484 42.4389 42.4293 42.4209 42.4018 42.3804 42.3575
- 42.3337 42.3095 42.2851 42.2623 42.4765 42.4764 42.4762 42.4758 42.4752 42.4745 42.4737 42.4728
- 42.472 42.4704 42.4681 42.4652 42.4618 42.4578 42.4535 42.4495 42.4765 42.4765 42.4765 42.4765
+ 41.9454 41.5031 41.1628 40.9131 40.7369 40.6155 40.5315 40.4721 40.4467 40.4792 40.4744 40.462
+ 40.4512 40.4414 40.4318 40.4223 42.3918 42.2656 42.1222 41.983 41.8579 41.749 41.6548 41.5748
+ 41.5168 41.5087 41.4956 41.4778 41.4561 41.4324 41.4081 41.3841 42.467 42.4453 42.4106 42.3667
+ 42.3179 42.267 42.2157 42.1664 42.1265 42.0758 42.0277 41.9831 41.9416 41.9028 41.8665 41.8332
+ 42.4759 42.474 42.4701 42.4643 42.4569 42.4482 42.4387 42.429 42.4207 42.4009 42.3786 42.3546
+ 42.3296 42.3041 42.2784 42.2543 42.4765 42.4764 42.4762 42.4758 42.4752 42.4745 42.4737 42.4728
+ 42.472 42.4704 42.4682 42.4653 42.4619 42.4579 42.4535 42.4496 42.4765 42.4765 42.4765 42.4765
42.4765 42.4764 42.4764 42.4764 42.4763 42.4763 42.4762 42.4761 42.4759 42.4757 42.4755 42.4753
42.4765 42.4765 42.4765 42.4765 42.4765 42.4765 42.4765 42.4765 42.4765 42.4765 42.4765 42.4765
42.4765 42.4765 42.4765 42.4765 42.4765 42.4765 42.4765 42.4765 42.4765 42.4765 42.4765 42.4765
@@ -43,22 +43,22 @@
42.4765 42.4765 42.4765 42.4765 42.4765 42.4765 42.4765 42.4765 42.4765 42.4765 42.4765 42.4765
42.4765 42.4765 42.4765 42.4765 42.4765 42.4765 42.4765 42.4765 42.4765 42.4764 42.4764 42.4764
42.4763 42.4763 42.4762 42.4761 42.4759 42.4757 42.4755 42.4753 42.4765 42.4764 42.4762 42.4758
- 42.4752 42.4745 42.4737 42.4728 42.472 42.4704 42.4681 42.4652 42.4618 42.4578 42.4535 42.4495
- 42.4759 42.474 42.4702 42.4644 42.457 42.4484 42.4389 42.4293 42.4209 42.4018 42.3804 42.3575
- 42.3337 42.3095 42.2851 42.2623 42.4671 42.4458 42.4118 42.3689 42.3213 42.2718 42.2222 42.1746
- 42.1362 42.0884 42.0434 42.0018 41.9631 41.927 41.8931 41.862 42.394 42.2697 42.1299 41.9952
- 41.875 41.7708 41.6809 41.605 41.551 41.5474 41.5377 41.5226 41.503 41.4811 41.4584 41.4359
- 41.9468 41.504 41.1585 40.9013 40.7179 40.591 40.5038 40.443 40.4193 40.4444 40.4348 40.4197
- 40.4079 40.398 40.3889 40.3802
+ 42.4752 42.4745 42.4737 42.4728 42.472 42.4704 42.4682 42.4653 42.4619 42.4579 42.4535 42.4496
+ 42.4759 42.474 42.4701 42.4643 42.4569 42.4482 42.4387 42.429 42.4207 42.4009 42.3786 42.3546
+ 42.3296 42.3041 42.2784 42.2543 42.467 42.4453 42.4106 42.3667 42.3179 42.267 42.2157 42.1664
+ 42.1265 42.0758 42.0277 41.9831 41.9416 41.9028 41.8665 41.8332 42.3918 42.2656 42.1222 41.983
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diff --git a/test/references/test_flatplate_kepsilon2cni.vtu b/test/references/test_flatplate_kepsilon2cni.vtu
index c02c2215b43faec9e3bf3b55cc941806a53554eb..5d02e4bdac826c07ce3926264a8631354d121030 100644
--- a/test/references/test_flatplate_kepsilon2cni.vtu
+++ b/test/references/test_flatplate_kepsilon2cni.vtu
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diff --git a/test/references/test_flatplate_komega2cni.vtu b/test/references/test_flatplate_komega2cni.vtu
index ea8e908988347cbf58bb7b5e1773f6d151edf3e3..c8bfd3235709505a0a079917738cbcb3e0e419ee 100644
--- a/test/references/test_flatplate_komega2cni.vtu
+++ b/test/references/test_flatplate_komega2cni.vtu
@@ -23,118 +23,118 @@
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diff --git a/test/references/test_flatplate_lowrekepsilon2cni.vtu b/test/references/test_flatplate_lowrekepsilon2cni.vtu
index fda6e32a5efe1069dafac64f632809c614a53686..39bcb5919ec8dabd15b455afee1820e672fbf50b 100644
--- a/test/references/test_flatplate_lowrekepsilon2cni.vtu
+++ b/test/references/test_flatplate_lowrekepsilon2cni.vtu
@@ -23,118 +23,118 @@
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diff --git a/test/references/test_flatplate_oneeq2cni.vtu b/test/references/test_flatplate_oneeq2cni.vtu
index cbe32c9b4d02a84ea76f92011bd45093119fdfb4..e28d90c3ef5fd55e8167e230e538ee91ad2619db 100644
--- a/test/references/test_flatplate_oneeq2cni.vtu
+++ b/test/references/test_flatplate_oneeq2cni.vtu
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diff --git a/test/references/test_flatplate_zeroeq2cni.vtu b/test/references/test_flatplate_zeroeq2cni.vtu
index be2532eb39c712c95024cd8be96915cd7ee58608..a3920b3caa01054d6584d5cd5927bcd4f3bb611e 100644
--- a/test/references/test_flatplate_zeroeq2cni.vtu
+++ b/test/references/test_flatplate_zeroeq2cni.vtu
@@ -23,118 +23,118 @@
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