From 4bd282f2bcb3a28435fc80aaeec6fd398f07471a Mon Sep 17 00:00:00 2001
From: Thomas Fetzer <thomas.fetzer@iws.uni-stuttgart.de>
Date: Wed, 21 Mar 2018 14:07:05 +0100
Subject: [PATCH] [ransni] Implementation of non-isothermal RANS model with
 many changes

features
* tests for zeroeqni and zeroeq2cni
* split update() in "classical" update() and updateRANSProperties()
* do not use asImp_() but virtual inheritance
* cleanup
---
 .../freeflow/navierstokes/volumevariables.hh  |   2 +-
 dumux/freeflow/rans/model.hh                  |  46 +-
 dumux/freeflow/rans/volumevariables.hh        |  89 +--
 dumux/freeflow/rans/vtkoutputfields.hh        |   4 +
 dumux/freeflow/rans/zeroeq/model.hh           |  23 +-
 dumux/freeflow/rans/zeroeq/volumevariables.hh | 119 ++-
 dumux/freeflow/ransnc/model.hh                |  59 +-
 dumux/freeflow/ransnc/volumevariables.hh      |  25 +-
 test/freeflow/rans/CMakeLists.txt             |  16 +-
 test/freeflow/rans/pipelauferproblem.hh       |  62 +-
 test/freeflow/rans/test_pipe_zeroeqni.input   |  29 +
 test/freeflow/ransnc/CMakeLists.txt           |  12 +-
 test/freeflow/ransnc/channeltestproblem.hh    |  29 +-
 .../ransnc/test_channel_zeroeq2cni.input      |  29 +
 test/references/pipe_laufer_zeroeq.vtu        | 384 ++++-----
 test/references/pipe_zeroeqni.vtu             | 734 ++++++++++++++++++
 test/references/test_channel_zeroeq2cni.vtu   | 697 +++++++++++++++++
 17 files changed, 2017 insertions(+), 342 deletions(-)
 create mode 100644 test/freeflow/rans/test_pipe_zeroeqni.input
 create mode 100644 test/freeflow/ransnc/test_channel_zeroeq2cni.input
 create mode 100644 test/references/pipe_zeroeqni.vtu
 create mode 100644 test/references/test_channel_zeroeq2cni.vtu

diff --git a/dumux/freeflow/navierstokes/volumevariables.hh b/dumux/freeflow/navierstokes/volumevariables.hh
index 7a7cc8fd1f..d13997dba8 100644
--- a/dumux/freeflow/navierstokes/volumevariables.hh
+++ b/dumux/freeflow/navierstokes/volumevariables.hh
@@ -226,7 +226,7 @@ protected:
  */
 template <class TypeTag>
 class NavierStokesVolumeVariablesImplementation<TypeTag, true>
-: public NavierStokesVolumeVariablesImplementation<TypeTag, false>
+: virtual public NavierStokesVolumeVariablesImplementation<TypeTag, false>
 {
     using ParentType = NavierStokesVolumeVariablesImplementation<TypeTag, false>;
     using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
diff --git a/dumux/freeflow/rans/model.hh b/dumux/freeflow/rans/model.hh
index a95bbeddda..4d4d79d01d 100644
--- a/dumux/freeflow/rans/model.hh
+++ b/dumux/freeflow/rans/model.hh
@@ -41,7 +41,8 @@
 #include <dumux/discretization/methods.hh>
 #include <dumux/freeflow/properties.hh>
 #include <dumux/freeflow/navierstokes/model.hh>
-#include <dumux/freeflow/nonisothermal/model.hh>
+#include <dumux/freeflow/navierstokes/indices.hh>
+#include <dumux/freeflow/nonisothermal/indices.hh>
 #include <dumux/material/fluidstates/immiscible.hh>
 
 #include "volumevariables.hh"
@@ -79,6 +80,49 @@ private:
 public:
      using type = RANSVtkOutputFields<FVGridGeometry>;
 };
+
+//////////////////////////////////////////////////////////////////
+// Property values for non-isothermal Reynolds-averaged Navier-Stokes model
+//////////////////////////////////////////////////////////////////
+
+//! The type tag for the single-phase, isothermal Reynolds-Averaged Navier-Stokes model
+NEW_TYPE_TAG(RANSNI, INHERITS_FROM(RANS));
+
+//! The model traits of the non-isothermal model
+SET_PROP(RANSNI, ModelTraits)
+{
+private:
+    using GridView = typename GET_PROP_TYPE(TypeTag, FVGridGeometry)::GridView;
+    static constexpr int dim = GridView::dimension;
+    using IsothermalTraits = NavierStokesModelTraits<dim>;
+public:
+    using type = NavierStokesNIModelTraits<IsothermalTraits>;
+};
+
+//! The indices required by the non-isothermal single-phase model
+SET_PROP(RANSNI, Indices)
+{
+private:
+    static constexpr int numEq = GET_PROP_TYPE(TypeTag, ModelTraits)::numEq();
+    static constexpr int dim = GET_PROP_TYPE(TypeTag, GridView)::dimension;
+    using IsothermalIndices = NavierStokesIndices<dim, numEq>;
+public:
+    using type = NavierStokesNonIsothermalIndices<dim, numEq, IsothermalIndices>;
+};
+
+//! The specific non-isothermal vtk output fields
+// SET_PROP(RANSNI, VtkOutputFields)
+// {
+// private:
+//      using FVGridGeometry = typename GET_PROP_TYPE(TypeTag, FVGridGeometry);
+//      using IsothermalFields = NavierStokesVtkOutputFields<FVGridGeometry>;
+// public:
+//      using type = NavierStokesNonIsothermalVtkOutputFields<IsothermalFields>;
+// };
+
+//! Use Fourier's Law as default heat conduction type
+SET_TYPE_PROP(RANSNI, HeatConductionType, FouriersLaw<TypeTag>);
+
 // \}
 }
 
diff --git a/dumux/freeflow/rans/volumevariables.hh b/dumux/freeflow/rans/volumevariables.hh
index 4dedf42143..811cd9e84d 100644
--- a/dumux/freeflow/rans/volumevariables.hh
+++ b/dumux/freeflow/rans/volumevariables.hh
@@ -29,6 +29,7 @@
 #include <dune/common/fmatrix.hh>
 
 #include <dumux/common/properties.hh>
+#include <dumux/common/parameters.hh>
 #include <dumux/material/fluidstates/immiscible.hh>
 #include <dumux/freeflow/navierstokes/volumevariables.hh>
 
@@ -71,31 +72,26 @@ class RANSVolumeVariablesImplementation<TypeTag, false>
     using DimMatrix = Dune::FieldMatrix<Scalar, dimWorld, dimWorld>;
 
 public:
-
-    using FluidState = typename GET_PROP_TYPE(TypeTag, FluidState);
-
     /*!
-     * \brief Update all quantities for a given control volume
+     * \brief Update all turbulent quantities for a given control volume
      *
      * Wall related quantities are stored and the calculateEddyViscosity(...)
      * function of the turbulence model implementation is called.
      *
      * \param elemSol A vector containing all primary variables connected to the element
-     * \param problem The object specifying the problem which ought to
-     *                be simulated
+     * \param problem The object specifying the problem which ought to be simulated
      * \param element An element which contains part of the control volume
      * \param scv The sub-control volume
      */
     template<class ElementSolution>
-    void update(const ElementSolution &elemSol,
-                const Problem &problem,
-                const Element &element,
-                const SubControlVolume& scv)
+    void updateRANSProperties(const ElementSolution &elemSol,
+                              const Problem &problem,
+                              const Element &element,
+                              const SubControlVolume& scv)
     {
         using std::abs;
         using std::max;
         using std::sqrt;
-        ParentType::update(elemSol, problem, element, scv);
 
         // calculate characteristic properties of the turbulent flow
         elementID_ = problem.fvGridGeometry().elementMapper().index(element);
@@ -109,9 +105,10 @@ public:
         uStar_ = sqrt(problem.kinematicViscosity_[wallElementID_]
                       * abs(problem.velocityGradients_[wallElementID_][flowNormalAxis][wallNormalAxis]));
         uStar_ = max(uStar_, 1e-10); // zero values lead to numerical problems in some turbulence models
-        yPlus_ = wallDistance_ * uStar_ / asImp_().kinematicViscosity();
+        yPlus_ = wallDistance_ * uStar_ / kinematicViscosity();
         uPlus_ = velocity_[flowNormalAxis] / uStar_;
-    };
+        dynamicEddyViscosity_ = 0.0; // will be set by the specific RANS implementation
+    }
 
     /*!
      * \brief Return the element ID of the control volume.
@@ -166,9 +163,15 @@ public:
      *        control volume.
      */
     Scalar dynamicEddyViscosity() const
+    { return dynamicEddyViscosity_; }
+
+    /*!
+     * \brief Return the dynamic eddy viscosity \f$\mathrm{[Pa s]}\f$ of the flow within the
+     *        control volume.
+     */
+    void setDynamicEddyViscosity(Scalar value)
     {
-        DUNE_THROW(Dune::NotImplemented,
-                   "The dynamicEddyViscosity() has to specified by the RANS implementation.");
+        dynamicEddyViscosity_ = value;
     }
 
     /*!
@@ -176,30 +179,21 @@ public:
      *        control volume.
      */
     Scalar effectiveViscosity() const
-    { return asImp_().viscosity() + asImp_().dynamicEddyViscosity(); }
+    { return ParentType::viscosity() + dynamicEddyViscosity(); }
 
     /*!
      * \brief Return the kinematic viscosity \f$\mathrm{[m^2/s]}\f$ of the fluid within the
      *        control volume.
      */
     Scalar kinematicViscosity() const
-    { return asImp_().viscosity() / asImp_().density(); }
+    { return ParentType::viscosity() / ParentType::density(); }
 
     /*!
      * \brief Return the kinematic eddy viscosity \f$\mathrm{[Pa s]}\f$ of the flow within the
      *        control volume.
      */
     Scalar kinematicEddyViscosity() const
-    { return asImp_().dynamicEddyViscosity() / asImp_().density(); }
-
-private:
-    //! Returns the implementation of the problem (i.e. static polymorphism)
-    Implementation &asImp_()
-    { return *static_cast<Implementation *>(this); }
-
-    //! \copydoc asImp_()
-    const Implementation &asImp_() const
-    { return *static_cast<const Implementation *>(this); }
+    { return dynamicEddyViscosity() / ParentType::density(); }
 
 protected:
     DimVector velocity_;
@@ -220,49 +214,38 @@ protected:
  */
 template <class TypeTag>
 class RANSVolumeVariablesImplementation<TypeTag, true>
-: public NavierStokesVolumeVariablesImplementation<TypeTag, true>,
-  public RANSVolumeVariablesImplementation<TypeTag, false>
+: virtual public NavierStokesVolumeVariablesImplementation<TypeTag, true>,
+  virtual public RANSVolumeVariablesImplementation<TypeTag, false>
 {
     using ParentTypeNonIsothermal = NavierStokesVolumeVariablesImplementation<TypeTag, true>;
     using ParentTypeIsothermal = RANSVolumeVariablesImplementation<TypeTag, false>;
+    using Implementation = typename GET_PROP_TYPE(TypeTag, VolumeVariables);
     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 GridView = typename GET_PROP_TYPE(TypeTag, GridView);
     using Element = typename GridView::template Codim<0>::Entity;
-    using FluidSystem = typename GET_PROP_TYPE(TypeTag, FluidSystem);
-    using Indices = typename GET_PROP_TYPE(TypeTag, Indices);
-
-//     static const int temperatureIdx = Indices::temperatureIdx;
 
 public:
-
-    using FluidState = typename GET_PROP_TYPE(TypeTag, FluidState);
-
     /*!
-     * \brief Update all quantities for a given control volume
-     *
-     * \param elemSol A vector containing all primary variables connected to the element
-     * \param problem The object specifying the problem which ought to
-     *                be simulated
-     * \param element An element which contains part of the control volume
-     * \param scv The sub-control volume
+     * \brief Calculates the eddy thermal conductivity \f$\mathrm{[W/(m*K)]}\f$ based
+     *        on the kinematic eddy viscosity and the turbulent prandtl number
      */
-    template<class ElementSolution>
-    void update(const ElementSolution &elemSol,
-                const Problem &problem,
-                const Element &element,
-                const SubControlVolume &scv)
+    void calculateEddyThermalConductivity()
     {
-        ParentTypeIsothermal::update(elemSol, problem, element, scv);
-        ParentTypeNonIsothermal::update(elemSol, problem, element, scv);
-        // TODO: convert eddyViscosity to eddyThermalConductivity
+        static const auto turbulentPrandtlNumber
+            = getParamFromGroup<Scalar>(GET_PROP_VALUE(TypeTag, ModelParameterGroup),
+                                        "RANS.TurbulentPrandtlNumber", 1.0);
+        eddyThermalConductivity_ = ParentTypeIsothermal::kinematicEddyViscosity()
+                                   * ParentTypeIsothermal::density()
+                                   * ParentTypeNonIsothermal::heatCapacity()
+                                   / turbulentPrandtlNumber;
     }
 
     /*!
      * \brief Returns the eddy thermal conductivity \f$\mathrm{[W/(m*K)]}\f$
-     *        of the flow phase in the sub-control volume.
+     *        of the flow in the sub-control volume.
      */
     Scalar eddyThermalConductivity() const
     { return eddyThermalConductivity_; }
@@ -273,7 +256,7 @@ public:
      */
     Scalar effectiveThermalConductivity() const
     {
-        return FluidSystem::thermalConductivity(this->fluidState_)
+        return ParentTypeNonIsothermal::thermalConductivity()
                + eddyThermalConductivity();
     }
 
diff --git a/dumux/freeflow/rans/vtkoutputfields.hh b/dumux/freeflow/rans/vtkoutputfields.hh
index cda12ec657..6cdb928396 100644
--- a/dumux/freeflow/rans/vtkoutputfields.hh
+++ b/dumux/freeflow/rans/vtkoutputfields.hh
@@ -63,6 +63,10 @@ public:
         vtk.addVolumeVariable([](const auto& v){ return v.wallDistance(); }, "l_w");
         vtk.addVolumeVariable([](const auto& v){ return v.yPlus(); }, "y^+");
         vtk.addVolumeVariable([](const auto& v){ return v.uPlus(); }, "u^+");
+#if NONISOTHERMAL
+        vtk.addVolumeVariable( [](const auto& v){ return v.temperature(); }, "temperature");
+        vtk.addVolumeVariable( [](const auto& v){ return v.eddyThermalConductivity(); }, "lambda_t");
+#endif
     }
 };
 
diff --git a/dumux/freeflow/rans/zeroeq/model.hh b/dumux/freeflow/rans/zeroeq/model.hh
index 59691c2aa0..bd768c9021 100644
--- a/dumux/freeflow/rans/zeroeq/model.hh
+++ b/dumux/freeflow/rans/zeroeq/model.hh
@@ -41,27 +41,28 @@
 
 namespace Dumux
 {
+namespace Properties {
 
-// \{
 ///////////////////////////////////////////////////////////////////////////
-// properties for the single-phase Reynolds-Averaged Navier-Stokes 0-Eq. model
+// default property values for the isothermal RANS 0-Eq. model
 ///////////////////////////////////////////////////////////////////////////
-namespace Properties {
-
-//////////////////////////////////////////////////////////////////
-// Type tags
-//////////////////////////////////////////////////////////////////
 
 //! The type tag for the single-phase, isothermal Reynolds-Averaged Navier-Stokes 0-Eq. model
 NEW_TYPE_TAG(ZeroEq, INHERITS_FROM(RANS));
 
-///////////////////////////////////////////////////////////////////////////
-// default property values for the isothermal single phase model
-///////////////////////////////////////////////////////////////////////////
-
 //! The volume variables
 SET_TYPE_PROP(ZeroEq, VolumeVariables, ZeroEqVolumeVariables<TypeTag>);
 
+//////////////////////////////////////////////////////////////////
+// default property values for the non-isothermal RANS 0-Eq. model
+//////////////////////////////////////////////////////////////////
+
+//! The type tag for the single-phase, isothermal Reynolds-Averaged Navier-Stokes model
+NEW_TYPE_TAG(ZeroEqNI, INHERITS_FROM(RANSNI));
+
+//! The volume variables
+SET_TYPE_PROP(ZeroEqNI, VolumeVariables, ZeroEqVolumeVariables<TypeTag>);
+
 // \}
 }
 
diff --git a/dumux/freeflow/rans/zeroeq/volumevariables.hh b/dumux/freeflow/rans/zeroeq/volumevariables.hh
index 4a981e9020..77188147f3 100644
--- a/dumux/freeflow/rans/zeroeq/volumevariables.hh
+++ b/dumux/freeflow/rans/zeroeq/volumevariables.hh
@@ -53,7 +53,7 @@ using ZeroEqVolumeVariables = ZeroEqVolumeVariablesImplementation<TypeTag, GET_P
  */
 template <class TypeTag>
 class ZeroEqVolumeVariablesImplementation<TypeTag, false>
-: public RANSVolumeVariablesImplementation<TypeTag, false>
+: virtual public RANSVolumeVariablesImplementation<TypeTag, false>
 {
     using ParentType = RANSVolumeVariablesImplementation<TypeTag, false>;
     using Implementation = typename GET_PROP_TYPE(TypeTag, VolumeVariables);
@@ -85,25 +85,44 @@ public:
                 const SubControlVolume& scv)
     {
         ParentType::update(elemSol, problem, element, scv);
+        updateRANSProperties(elemSol, problem, element, scv);
+    }
+
+    /*!
+     * \brief Update all turbulent quantities for a given control volume
+     *
+     * Wall and roughness related quantities are stored. Eddy viscosity is set.
+     *
+     * \param elemSol A vector containing all primary variables connected to the element
+     * \param problem The object specifying the problem which ought to be simulated
+     * \param element An element which contains part of the control volume
+     * \param scv The sub-control volume
+     */
+    template<class ElementSolution>
+    void updateRANSProperties(const ElementSolution &elemSol,
+                              const Problem &problem,
+                              const Element &element,
+                              const SubControlVolume& scv)
+    {
+        ParentType::updateRANSProperties(elemSol, problem, element, scv);
         additionalRoughnessLength_ = problem.additionalRoughnessLength_[this->elementID()];
         yPlusRough_ = wallDistanceRough() * this->uStar() / this->kinematicViscosity();
-        dynamicEddyViscosity_ = calculateEddyViscosity(elemSol, problem, element, scv);
+        calculateEddyViscosity(elemSol, problem, element, scv);
     }
 
     /*!
      * \brief Calculate and set the dynamic eddy viscosity.
      *
      * \param elemSol A vector containing all primary variables connected to the element
-     * \param problem The object specifying the problem which ought to
-     *                be simulated
+     * \param problem The object specifying the problem which ought to be simulated
      * \param element An element which contains part of the control volume
      * \param scv The sub-control volume
      */
     template<class ElementSolution>
-    Scalar calculateEddyViscosity(const ElementSolution &elemSol,
-                                  const Problem &problem,
-                                  const Element &element,
-                                  const SubControlVolume& scv)
+    void calculateEddyViscosity(const ElementSolution &elemSol,
+                                const Problem &problem,
+                                const Element &element,
+                                const SubControlVolume& scv)
     {
         using std::abs;
         using std::exp;
@@ -114,7 +133,7 @@ public:
         unsigned int elementID = problem.fvGridGeometry().elementMapper().index(element);
         unsigned int flowNormalAxis = problem.flowNormalAxis_[elementID];
         unsigned int wallNormalAxis = problem.wallNormalAxis_[elementID];
-        Scalar velGrad = abs(asImp_().velocityGradients()[flowNormalAxis][wallNormalAxis]);
+        Scalar velGrad = abs(ParentType::velocityGradients()[flowNormalAxis][wallNormalAxis]);
 
         if (eddyViscosityModel == EddyViscosityModels::none)
         {
@@ -122,14 +141,14 @@ public:
         }
         else if (eddyViscosityModel == EddyViscosityModels::prandtl)
         {
-            Scalar mixingLength = problem.karmanConstant() * asImp_().wallDistanceRough();
+            Scalar mixingLength = problem.karmanConstant() * wallDistanceRough();
             kinematicEddyViscosity = mixingLength * mixingLength * velGrad;
         }
         else if (eddyViscosityModel == EddyViscosityModels::modifiedVanDriest)
         {
-            Scalar mixingLength = problem.karmanConstant() * asImp_().wallDistanceRough()
-                                  * (1.0 - exp(-asImp_().yPlusRough() / 26.0))
-                                  / sqrt(1.0 - exp(-0.26 * asImp_().yPlusRough()));
+            Scalar mixingLength = problem.karmanConstant() * wallDistanceRough()
+                                  * (1.0 - exp(-yPlusRough() / 26.0))
+                                  / sqrt(1.0 - exp(-0.26 * yPlusRough()));
             kinematicEddyViscosity = mixingLength * mixingLength * velGrad;
         }
         else if (eddyViscosityModel == EddyViscosityModels::baldwinLomax)
@@ -141,7 +160,7 @@ public:
             DUNE_THROW(Dune::NotImplemented,
                        "This eddy viscosity model is not implemented: " << eddyViscosityModel);
         }
-        return kinematicEddyViscosity * asImp_().density();
+        ParentType::setDynamicEddyViscosity(kinematicEddyViscosity * ParentType::density());
     }
 
     /*!
@@ -156,26 +175,9 @@ public:
     Scalar yPlusRough() const
     { return yPlusRough_; }
 
-    /*!
-     * \brief Return the dynamic eddy viscosity \f$\mathrm{[Pa s]}\f$ of the flow within the
-     *        control volume.
-     */
-    Scalar dynamicEddyViscosity() const
-    { return dynamicEddyViscosity_; }
-
-private:
-    //! Returns the implementation of the problem (i.e. static polymorphism)
-    Implementation &asImp_()
-    { return *static_cast<Implementation *>(this); }
-
-    //! \copydoc asImp_()
-    const Implementation &asImp_() const
-    { return *static_cast<const Implementation *>(this); }
-
 protected:
     Scalar additionalRoughnessLength_;
     Scalar yPlusRough_;
-    Scalar dynamicEddyViscosity_;
 };
 
 /*!
@@ -184,8 +186,59 @@ protected:
  */
 template <class TypeTag>
 class ZeroEqVolumeVariablesImplementation<TypeTag, true>
-: public RANSVolumeVariablesImplementation<TypeTag, true>
-{ };
+: virtual public ZeroEqVolumeVariablesImplementation<TypeTag, false>,
+  virtual public RANSVolumeVariablesImplementation<TypeTag, true>
+{
+    using ParentTypeNonIsothermal = RANSVolumeVariablesImplementation<TypeTag, true>;
+    using ParentTypeIsothermal = ZeroEqVolumeVariablesImplementation<TypeTag, false>;
+    using Implementation = typename GET_PROP_TYPE(TypeTag, VolumeVariables);
+    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 GridView = typename GET_PROP_TYPE(TypeTag, GridView);
+    using Element = typename GridView::template Codim<0>::Entity;
+
+public:
+    /*!
+     * \brief Update all quantities for a given control volume
+     *
+     * \param elemSol A vector containing all primary variables connected to the element
+     * \param problem The object specifying the problem which ought to
+     *                be simulated
+     * \param element An element which contains part of the control volume
+     * \param scv The sub-control volume
+     */
+    template<class ElementSolution>
+    void update(const ElementSolution &elemSol,
+                const Problem &problem,
+                const Element &element,
+                const SubControlVolume &scv)
+    {
+        ParentTypeNonIsothermal::update(elemSol, problem, element, scv);
+        updateRANSProperties(elemSol, problem, element, scv);
+    }
+
+    /*!
+     * \brief Update all turbulent quantities for a given control volume
+     *
+     * Wall and roughness related quantities are stored. Eddy viscosity is set.
+     *
+     * \param elemSol A vector containing all primary variables connected to the element
+     * \param problem The object specifying the problem which ought to be simulated
+     * \param element An element which contains part of the control volume
+     * \param scv The sub-control volume
+     */
+    template<class ElementSolution>
+    void updateRANSProperties(const ElementSolution &elemSol,
+                              const Problem &problem,
+                              const Element &element,
+                              const SubControlVolume& scv)
+    {
+        ParentTypeIsothermal::updateRANSProperties(elemSol, problem, element, scv);
+        ParentTypeNonIsothermal::calculateEddyThermalConductivity();
+    }
+};
 }
 
 #endif
diff --git a/dumux/freeflow/ransnc/model.hh b/dumux/freeflow/ransnc/model.hh
index fe801d4c5a..2e94e37707 100644
--- a/dumux/freeflow/ransnc/model.hh
+++ b/dumux/freeflow/ransnc/model.hh
@@ -22,7 +22,7 @@
  *
  * \brief A single-phase, multi-component isothermal Navier-Stokes model
  *
- * \copydoc RANSModel
+ * \copydoc Dumux::RANSModel
  *
  * The system is closed by a <B> component mass/mole balance equation </B> for each component \f$\kappa\f$:
  * \f[
@@ -69,14 +69,14 @@ namespace Dumux {
 
 /*!
  * \ingroup RANSModel
- * \brief Traits for the Reynolds-averaged Navier-Stokes multi-component model
+ * \brief Traits for the RANS multi-component model
  */
 template<int dim, int nComp>
 struct RANSNCModelTraits : NavierStokesNCModelTraits<dim, nComp>
 { };
 
 ///////////////////////////////////////////////////////////////////////////
-// properties for the single-phase, multi-component Reynolds-averaged Navier-Stokes model
+// properties for the single-phase, multi-component RANS model
 ///////////////////////////////////////////////////////////////////////////
 namespace Properties {
 
@@ -84,13 +84,10 @@ namespace Properties {
 // Type tags
 //////////////////////////////////////////////////////////////////
 
-//! The type tag for the single-phase, multi-component isothermal Reynolds-averaged Navier-Stokes model
+//! The type tags for the single-phase, multi-component isothermal RANS model
 NEW_TYPE_TAG(RANSNC, INHERITS_FROM(RANS, NavierStokesNC));
 NEW_TYPE_TAG(ZeroEqNC, INHERITS_FROM(ZeroEq, RANSNC));
 
-// //! The type tag for the single-phase, multi-component non-isothermal Reynolds-averaged Navier-Stokes model
-// NEW_TYPE_TAG(RANSNCNI, INHERITS_FROM(RANS, NavierStokesNC));
-
 ///////////////////////////////////////////////////////////////////////////
 // default property values
 ///////////////////////////////////////////////////////////////////////////
@@ -124,9 +121,55 @@ public:
 };
 
 //////////////////////////////////////////////////////////////////////////
-// Property values for non-isothermal multi-component Reynolds-averaged Navier-Stokes model
+// Property values for non-isothermal multi-component RANS model
 //////////////////////////////////////////////////////////////////////////
 
+//! The type tags for the single-phase, multi-component non-isothermal RANS models
+NEW_TYPE_TAG(RANSNCNI, INHERITS_FROM(RANSNI, NavierStokesNC));
+NEW_TYPE_TAG(ZeroEqNCNI, INHERITS_FROM(ZeroEqNI, RANSNCNI));
+
+//! The volume variables
+SET_TYPE_PROP(RANSNCNI, VolumeVariables, RANSNCVolumeVariables<TypeTag>);
+SET_TYPE_PROP(ZeroEqNCNI, SinglePhaseVolumeVariables, ZeroEqVolumeVariables<TypeTag>);
+
+//! The model traits of the non-isothermal model
+SET_PROP(RANSNCNI, ModelTraits)
+{
+private:
+    using GridView = typename GET_PROP_TYPE(TypeTag, FVGridGeometry)::GridView;
+    static constexpr int dim = GridView::dimension;
+    using FluidSystem = typename GET_PROP_TYPE(TypeTag, FluidSystem);
+    static constexpr int numComponents = FluidSystem::numComponents;
+    using IsothermalModelTraits = NavierStokesNCModelTraits<dim, numComponents>;
+public:
+    using type = NavierStokesNIModelTraits<IsothermalModelTraits>;
+};
+
+//! The indices
+SET_PROP(RANSNCNI, Indices)
+{
+private:
+    static constexpr int numEq = GET_PROP_TYPE(TypeTag, ModelTraits)::numEq();
+    static constexpr int dim = GET_PROP_TYPE(TypeTag, GridView)::dimension;
+    static constexpr int phaseIdx = GET_PROP_VALUE(TypeTag, PhaseIdx);
+    static constexpr int replaceCompEqIdx = GET_PROP_VALUE(TypeTag, ReplaceCompEqIdx);
+    using IsothermalIndices = NavierStokesNCIndices<dim, numEq, phaseIdx, replaceCompEqIdx>;
+public:
+    using type = NavierStokesNonIsothermalIndices<dim, numEq, IsothermalIndices>;
+};
+
+//! The specific vtk output fields
+SET_PROP(ZeroEqNCNI, VtkOutputFields)
+{
+private:
+    using FVGridGeometry = typename GET_PROP_TYPE(TypeTag, FVGridGeometry);
+    using FluidSystem = typename GET_PROP_TYPE(TypeTag, FluidSystem);
+    static constexpr int phaseIdx = GET_PROP_VALUE(TypeTag, PhaseIdx);
+    using SinglePhaseVtkOutputFields = RANSVtkOutputFields<FVGridGeometry>;
+public:
+    using type = RANSNCVtkOutputFields<FVGridGeometry, FluidSystem, phaseIdx, SinglePhaseVtkOutputFields>;
+};
+
 // //! The non-isothermal vtk output fields
 // SET_PROP(RANSNCNI, VtkOutputFields)
 // {
diff --git a/dumux/freeflow/ransnc/volumevariables.hh b/dumux/freeflow/ransnc/volumevariables.hh
index a823af3a9e..cd10d400cf 100644
--- a/dumux/freeflow/ransnc/volumevariables.hh
+++ b/dumux/freeflow/ransnc/volumevariables.hh
@@ -38,8 +38,8 @@ namespace Dumux {
  */
 template <class TypeTag>
 class RANSNCVolumeVariables
-      : public GET_PROP_TYPE(TypeTag, SinglePhaseVolumeVariables),
-        public NavierStokesNCVolumeVariables<TypeTag>
+    : virtual public GET_PROP_TYPE(TypeTag, SinglePhaseVolumeVariables),
+      virtual public NavierStokesNCVolumeVariables<TypeTag>
 {
     using ParentTypeSinglePhase = typename GET_PROP_TYPE(TypeTag, SinglePhaseVolumeVariables);
     using ParentTypeCompositional = NavierStokesNCVolumeVariables<TypeTag>;
@@ -54,7 +54,6 @@ class RANSNCVolumeVariables
     static constexpr auto phaseIdx = GET_PROP_VALUE(TypeTag, PhaseIdx);
 
 public:
-
     /*!
      * \brief Update all quantities for a given control volume
      *
@@ -70,12 +69,17 @@ public:
                 const Element &element,
                 const SubControlVolume& scv)
     {
-        this->extrusionFactor_ = problem.extrusionFactor(element, scv, elemSol);
-
-        // NOTE: the ParentTypeCompositional has to be called first
         ParentTypeCompositional::update(elemSol, problem, element, scv);
-        ParentTypeSinglePhase::update(elemSol, problem, element, scv);
+        ParentTypeSinglePhase::updateRANSProperties(elemSol, problem, element, scv);
+        calculateEddyDiffusivity();
+    }
 
+    /*!
+     * \brief Calculates the eddy diffusivity \f$\mathrm{[m^2/s]}\f$ based
+     *        on the kinematic eddy viscosity and the turbulent schmidt number
+     */
+    void calculateEddyDiffusivity()
+    {
         static const auto turbulentSchmidtNumber
             = getParamFromGroup<Scalar>(GET_PROP_VALUE(TypeTag, ModelParameterGroup),
                                         "RANS.TurbulentSchmidtNumber", 1.0);
@@ -103,13 +107,6 @@ public:
     }
 
 protected:
-
-    Implementation &asImp_()
-    { return *static_cast<Implementation*>(this); }
-
-    const Implementation &asImp_() const
-    { return *static_cast<const Implementation*>(this); }
-
     Scalar eddyDiffusivity_;
 };
 
diff --git a/test/freeflow/rans/CMakeLists.txt b/test/freeflow/rans/CMakeLists.txt
index a9e36ffdb4..54ea89190a 100644
--- a/test/freeflow/rans/CMakeLists.txt
+++ b/test/freeflow/rans/CMakeLists.txt
@@ -1,11 +1,21 @@
 add_input_file_links()
 dune_symlink_to_source_files(FILES laufer_re50000.csv laufer_re50000_u+y+.csv)
 
-dune_add_test(NAME test_pipe_laufer
+dune_add_test(NAME test_pipe_laufer_zeroeq
               SOURCES test_pipe_laufer.cc
               CMAKE_GUARD HAVE_UMFPACK
               COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
               CMD_ARGS  --script fuzzy
                         --files ${CMAKE_SOURCE_DIR}/test/references/pipe_laufer_zeroeq.vtu
-                                ${CMAKE_CURRENT_BINARY_DIR}/pipe_laufer_zeroeq_reference-00021.vtu
-                        --command "${CMAKE_CURRENT_BINARY_DIR}/test_pipe_laufer test_pipe_laufer_reference.input")
+                                ${CMAKE_CURRENT_BINARY_DIR}/pipe_laufer_zeroeq_reference-00020.vtu
+                        --command "${CMAKE_CURRENT_BINARY_DIR}/test_pipe_laufer_zeroeq test_pipe_laufer_reference.input")
+
+dune_add_test(NAME test_pipe_zeroeqni
+              SOURCES test_pipe_laufer.cc
+              CMAKE_GUARD HAVE_UMFPACK
+              COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+              CMD_ARGS       --script fuzzy
+                             --files ${CMAKE_SOURCE_DIR}/test/references/pipe_zeroeqni.vtu
+                                     ${CMAKE_CURRENT_BINARY_DIR}/pipe_zeroeqni-00034.vtu
+                             --command "${CMAKE_CURRENT_BINARY_DIR}/test_pipe_zeroeqni test_pipe_zeroeqni.input")
+target_compile_definitions(test_pipe_zeroeqni PUBLIC "NONISOTHERMAL=1")
diff --git a/test/freeflow/rans/pipelauferproblem.hh b/test/freeflow/rans/pipelauferproblem.hh
index 72ddaee4ff..55da37fa23 100644
--- a/test/freeflow/rans/pipelauferproblem.hh
+++ b/test/freeflow/rans/pipelauferproblem.hh
@@ -41,7 +41,11 @@ class PipeLauferProblem;
 
 namespace Properties
 {
+#if NONISOTHERMAL
+NEW_TYPE_TAG(PipeLauferProblem, INHERITS_FROM(StaggeredFreeFlowModel, ZeroEqNI));
+#else
 NEW_TYPE_TAG(PipeLauferProblem, INHERITS_FROM(StaggeredFreeFlowModel, ZeroEq));
+#endif
 
 // the fluid system
 SET_PROP(PipeLauferProblem, FluidSystem)
@@ -82,6 +86,10 @@ class PipeLauferProblem : public ZeroEqProblem<TypeTag>
     using Indices = typename GET_PROP_TYPE(TypeTag, Indices);
     enum { dimWorld = GridView::dimensionworld };
     enum {
+#if NONISOTHERMAL
+        temperatureIdx = Indices::temperatureIdx,
+        energyBalanceIdx = Indices::energyBalanceIdx,
+#endif
         totalMassBalanceIdx = Indices::totalMassBalanceIdx,
         momentumBalanceIdx = Indices::momentumBalanceIdx,
         pressureIdx = Indices::pressureIdx,
@@ -105,6 +113,8 @@ public:
     : ParentType(fvGridGeometry), eps_(1e-6)
     {
         inletVelocity_ = getParam<Scalar>("Problem.InletVelocity");
+        inletTemperature_ = getParam<Scalar>("Problem.InletTemperature", 283.15);
+        wallTemperature_ = getParam<Scalar>("Problem.WallTemperature", 323.15);
         sandGrainRoughness_ = getParam<Scalar>("Problem.SandGrainRoughness", 0.0);
     }
 
@@ -115,9 +125,8 @@ public:
 
     bool isOnWall(const GlobalPosition &globalPos) const
     {
-        Scalar localEps_ = 1e-6; // cannot use the epsilon, because ParentType is initialized first
-        return globalPos[1] < this->fvGridGeometry().bBoxMin()[1] + localEps_
-              || globalPos[1] > this->fvGridGeometry().bBoxMax()[1] - localEps_;
+        return globalPos[1] < this->fvGridGeometry().bBoxMin()[1] + eps_
+               || globalPos[1] > this->fvGridGeometry().bBoxMax()[1] - eps_;
     }
 
     Scalar sandGrainRoughnessAtPos(const GlobalPosition &globalPos) const
@@ -131,12 +140,10 @@ public:
     }
 
    /*!
-     * \brief Return the temperature within the domain in [K].
-     *
-     * This problem assumes a temperature of 10 degrees Celsius.
+     * \brief Return the temperature [K] within the domain for the isothermal model.
      */
     Scalar temperature() const
-    { return 273.15 + 10; } // 10C
+    { return inletTemperature_; }
 
    /*!
      * \brief Return the sources within the domain.
@@ -165,6 +172,13 @@ public:
 
         // set Dirichlet values for the velocity everywhere
         values.setDirichlet(momentumBalanceIdx);
+#if NONISOTHERMAL
+        values.setDirichlet(energyBalanceIdx);
+        if (isOutlet(globalPos))
+        {
+            values.setOutflow(energyBalanceIdx);
+        }
+#endif
 
         // set a fixed pressure in one cell
         if (isOutlet(globalPos))
@@ -186,7 +200,18 @@ public:
      */
     PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const
     {
-        return initialAtPos(globalPos);
+        PrimaryVariables values(initialAtPos(globalPos));
+#if NONISOTHERMAL
+        if (time() > 10.0)
+        {
+            values[temperatureIdx] = inletTemperature_;
+            if (isOnWall(globalPos))
+            {
+                values[temperatureIdx] = wallTemperature_;
+            }
+        }
+#endif
+        return values;
     }
 
     // \}
@@ -205,9 +230,17 @@ public:
     {
         PrimaryVariables values(0.0);
         values[pressureIdx] = 1.0e+5;
-        if(!isOnWall(globalPos))
+        values[velocityXIdx] = inletVelocity_;
+#if NONISOTHERMAL
+        values[temperatureIdx] = inletTemperature_;
+        if (isOnWall(globalPos))
+        {
+            values[temperatureIdx] = wallTemperature_;
+        }
+#endif
+        if (isOnWall(globalPos))
         {
-            values[velocityXIdx] = inletVelocity_;
+            values[velocityXIdx] = 0.0;
         }
 
         return values;
@@ -217,8 +250,6 @@ public:
     void setTimeLoop(TimeLoopPtr timeLoop)
     {
         timeLoop_ = timeLoop;
-        if(inletVelocity_ > eps_)
-            timeLoop_->setCheckPoint({10.0, 50.0, 100.});
     }
 
     Scalar time() const
@@ -227,6 +258,11 @@ public:
     }
 
 private:
+    bool isInlet(const GlobalPosition& globalPos) const
+    {
+        return globalPos[0] < this->fvGridGeometry().bBoxMin()[0] + eps_;
+    }
+
     bool isOutlet(const GlobalPosition& globalPos) const
     {
         return globalPos[0] > this->fvGridGeometry().bBoxMax()[0] - eps_;
@@ -234,6 +270,8 @@ private:
 
     Scalar eps_;
     Scalar inletVelocity_;
+    Scalar inletTemperature_;
+    Scalar wallTemperature_;
     Scalar sandGrainRoughness_;
     TimeLoopPtr timeLoop_;
 };
diff --git a/test/freeflow/rans/test_pipe_zeroeqni.input b/test/freeflow/rans/test_pipe_zeroeqni.input
new file mode 100644
index 0000000000..ae12cd45de
--- /dev/null
+++ b/test/freeflow/rans/test_pipe_zeroeqni.input
@@ -0,0 +1,29 @@
+[TimeLoop]
+DtInitial = 10e-3 # [s]
+TEnd = 43200 # [s]
+
+[Grid]
+Verbosity = true
+Positions0 = 0.0 10.0
+Positions1 = 0.0 1.2345 2.469
+Cells0 = 16
+Cells1 = 8 8
+Grading1 = 1.5 -1.5
+
+[Problem]
+Name = pipe_zeroeqni
+InletVelocity = 0.25 # [m/s]
+InletTemperature = 283.15 # [K]
+WallTemperature = 303.15 # [K]
+EnableGravity = false
+
+[RANS]
+EddyViscosityModel = 3
+
+[Newton]
+MaxSteps = 10
+MaxRelativeShift = 1e-5
+
+[Vtk]
+AddVelocity = true
+WriteFaceData = false
diff --git a/test/freeflow/ransnc/CMakeLists.txt b/test/freeflow/ransnc/CMakeLists.txt
index a3fe1e7fa2..7d42f03be0 100644
--- a/test/freeflow/ransnc/CMakeLists.txt
+++ b/test/freeflow/ransnc/CMakeLists.txt
@@ -6,5 +6,15 @@ dune_add_test(NAME test_channel_zeroeq2c
               COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
               CMD_ARGS       --script fuzzy
                              --files ${CMAKE_SOURCE_DIR}/test/references/test_channel_zeroeq2c.vtu
-                                     ${CMAKE_CURRENT_BINARY_DIR}/test_channel_zeroeq2c-00033.vtu
+                                     ${CMAKE_CURRENT_BINARY_DIR}/test_channel_zeroeq2c-00031.vtu
                              --command "${CMAKE_CURRENT_BINARY_DIR}/test_channel_zeroeq2c test_channel_zeroeq2c.input")
+
+dune_add_test(NAME test_channel_zeroeq2cni
+              SOURCES test_channel_zeroeq.cc
+              CMAKE_GUARD HAVE_UMFPACK
+              COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+              CMD_ARGS       --script fuzzy
+                             --files ${CMAKE_SOURCE_DIR}/test/references/test_channel_zeroeq2cni.vtu
+                                     ${CMAKE_CURRENT_BINARY_DIR}/test_channel_zeroeq2cni-00018.vtu
+                             --command "${CMAKE_CURRENT_BINARY_DIR}/test_channel_zeroeq2cni test_channel_zeroeq2cni.input")
+target_compile_definitions(test_channel_zeroeq2cni PUBLIC "NONISOTHERMAL=1")
diff --git a/test/freeflow/ransnc/channeltestproblem.hh b/test/freeflow/ransnc/channeltestproblem.hh
index e4d99ae3f4..19511cca26 100644
--- a/test/freeflow/ransnc/channeltestproblem.hh
+++ b/test/freeflow/ransnc/channeltestproblem.hh
@@ -39,10 +39,10 @@ class ChannelNCTestProblem;
 namespace Properties
 {
 
-#if !NONISOTHERMAL
-NEW_TYPE_TAG(ChannelNCTestTypeTag, INHERITS_FROM(StaggeredFreeFlowModel, ZeroEqNC));
-#else
+#if NONISOTHERMAL
 NEW_TYPE_TAG(ChannelNCTestTypeTag, INHERITS_FROM(StaggeredFreeFlowModel, ZeroEqNCNI));
+#else
+NEW_TYPE_TAG(ChannelNCTestTypeTag, INHERITS_FROM(StaggeredFreeFlowModel, ZeroEqNC));
 #endif
 
 NEW_PROP_TAG(FluidSystem);
@@ -203,7 +203,7 @@ public:
             values.setOutflow(totalMassBalanceIdx);
             values.setOutflow(transportEqIdx);
 #if NONISOTHERMAL
-            values.setOutflow(energyBalanceIdx);
+            values.setDirichlet(energyBalanceIdx);
 #endif
         }
         else if (isSymmetry(globalPos))
@@ -223,18 +223,21 @@ public:
     {
         PrimaryVariables values = initialAtPos(globalPos);
 
-        if (isInlet(globalPos)
-            && globalPos[1] > 0.4 * this->fvGridGeometry().bBoxMax()[1]
-            && globalPos[1] < 0.6 * this->fvGridGeometry().bBoxMax()[1])
+        if (time() > 10.0)
         {
-            values[transportCompIdx] = 1e-3;
-        }
+            if (isInlet(globalPos)
+                && globalPos[1] > 0.4 * this->fvGridGeometry().bBoxMax()[1]
+                && globalPos[1] < 0.6 * this->fvGridGeometry().bBoxMax()[1])
+            {
+                values[transportCompIdx] = 1e-3;
+            }
 #if NONISOTHERMAL
-        if (isOnWall(globalPos))
-        {
-            values[temperatureIdx] += 30.;
-        }
+            if (isOnWall(globalPos))
+            {
+                values[temperatureIdx] += 30.;
+            }
 #endif
+        }
 
         return values;
     }
diff --git a/test/freeflow/ransnc/test_channel_zeroeq2cni.input b/test/freeflow/ransnc/test_channel_zeroeq2cni.input
new file mode 100644
index 0000000000..bc595e200f
--- /dev/null
+++ b/test/freeflow/ransnc/test_channel_zeroeq2cni.input
@@ -0,0 +1,29 @@
+[TimeLoop]
+DtInitial = 1 # [s]
+TEnd = 1000 # [s]
+
+[Grid]
+Verbosity = true
+Positions0 = 0.0 6.0
+Positions1 = 0.0 0.5
+Cells0 = 10
+Cells1 = 20
+Grading1 = 1.4
+
+[Problem]
+Name = test_channel_zeroeq2cni # name passed to the output routines
+InletVelocity = 0.1 # [m/s]
+EnableGravity = false
+
+[RANS]
+EddyViscosityModel = 3
+TurbulentSchmidtNumber = 0.7
+TurbulentPrandtlNumber = 0.85
+
+[Newton]
+MaxSteps = 10
+TargetSteps = 8
+MaxRelativeShift = 1e-5
+
+[Vtk]
+AddVelocity = true
diff --git a/test/references/pipe_laufer_zeroeq.vtu b/test/references/pipe_laufer_zeroeq.vtu
index 9041065898..4b0410c25e 100644
--- a/test/references/pipe_laufer_zeroeq.vtu
+++ b/test/references/pipe_laufer_zeroeq.vtu
@@ -244,202 +244,202 @@
           26.7045 26.7746 26.7969 26.7984
         </DataArray>
         <DataArray type="Float32" Name="dv_x/dx_" NumberOfComponents="3" format="ascii">
-          -0.95686 71.6647 0 -0.635157 154.597 0 -0.179922 154.087 0 -0.0464533 136.72 0
-          -0.0457548 130.434 0 -0.0280812 130.973 0 -0.00636892 133.701 0 -0.00527861 135.317 0
-          -0.0113137 135.334 0 -0.0112903 134.897 0 -0.0027612 134.615 0 0.0059661 134.935 0
-          0.00668688 135.215 0 0.00299378 135.202 0 0.00037709 135.139 0 -0.000371439 135.07 0
-          -0.385348 39.1814 0 -0.35116 89.551 0 -0.241522 96.1864 0 -0.127953 88.0195 0
-          -0.0655552 83.3731 0 -0.0168229 81.5524 0 0.00859883 80.0763 0 0.000348277 78.8884 0
-          -0.0127609 78.0526 0 -0.0137686 77.4415 0 -0.00262868 77.4585 0 0.00803264 78.1704 0
-          0.00760658 78.6185 0 0.00273242 78.6341 0 -7.92547e-05 78.5962 0 -0.00084692 78.5561 0
-          -0.123792 8.83074 0 -0.163751 25.9671 0 -0.192587 36.9134 0 -0.152414 39.2201 0
-          -0.0992347 38.3288 0 -0.0553436 36.1063 0 -0.0283987 32.6142 0 -0.0220144 29.9373 0
-          -0.0232791 28.6342 0 -0.0162027 27.9666 0 0.00326662 27.6889 0 0.0155584 27.53 0
-          0.0105211 27.3165 0 0.00280934 27.1246 0 -0.000268182 27.0035 0 -0.00103498 26.9377 0
-          0.0114385 1.87278 0 -0.0260362 7.41083 0 -0.0880861 14.4002 0 -0.111566 19.4353 0
-          -0.101605 21.9405 0 -0.0829837 22.5785 0 -0.0628222 21.7757 0 -0.0457291 20.7025 0
-          -0.0355761 20.0136 0 -0.024713 19.6207 0 -0.00768423 18.9506 0 0.00372169 17.7568 0
-          0.00291362 16.8062 0 -0.000891487 16.3555 0 -0.00224355 16.1127 0 -0.00237188 15.991 0
-          0.0557332 0.254612 0 0.0392977 1.39841 0 0.00230937 3.89971 0 -0.0301996 7.12168 0
-          -0.0482888 9.99591 0 -0.0580147 12.1292 0 -0.0588047 13.4232 0 -0.0505745 14.057 0
-          -0.0408131 14.3867 0 -0.0334319 14.5981 0 -0.0269454 14.4606 0 -0.0191991 13.8472 0
-          -0.0121905 13.2342 0 -0.00843178 12.8709 0 -0.00617655 12.6545 0 -0.00497851 12.5446 0
-          0.0633478 0.0174282 0 0.056677 0.145258 0 0.0417843 0.632041 0 0.0267666 1.63685 0
-          0.0120249 2.95342 0 -0.00521208 4.36494 0 -0.0190776 5.74016 0 -0.0238655 6.91287 0
-          -0.0232978 7.84874 0 -0.0230369 8.59144 0 -0.0247241 9.12835 0 -0.0241065 9.40803 0
-          -0.0192386 9.49903 0 -0.0140473 9.52962 0 -0.00964972 9.5519 0 -0.00736024 9.57169 0
-          0.0638551 -0.00186854 0 0.0588229 0.00272496 0 0.0496947 0.0475259 0 0.0435467 0.19288 0
-          0.038378 0.458353 0 0.0305152 0.867036 0 0.0221386 1.44807 0 0.0164115 2.11568 0
-          0.0125123 2.7794 0 0.00721903 3.40825 0 -0.00100371 3.99744 0 -0.00742319 4.52997 0
-          -0.0083278 4.9692 0 -0.00675228 5.31906 0 -0.00484026 5.60285 0 -0.00372104 5.78896 0
-          0.0637564 -0.00103646 0 0.0588739 -0.0019143 0 0.0502416 -0.000129744 0 0.0450384 0.00781458 0
-          0.0420084 0.0264059 0 0.038806 0.0723988 0 0.0364566 0.173897 0 0.0353462 0.327112 0
-          0.0341902 0.51074 0 0.0311362 0.712754 0 0.0251649 0.93622 0 0.0191133 1.17829 0
-          0.0158566 1.4083 0 0.0141348 1.60852 0 0.0112495 1.77987 0 0.00919434 1.89475 0
-          0.0637564 0.00103646 0 0.0588739 0.0019143 0 0.0502416 0.000129744 0 0.0450384 -0.00781458 0
-          0.0420084 -0.0264059 0 0.038806 -0.0723988 0 0.0364566 -0.173897 0 0.0353462 -0.327112 0
-          0.0341902 -0.51074 0 0.0311362 -0.712754 0 0.0251649 -0.93622 0 0.0191133 -1.17829 0
-          0.0158566 -1.4083 0 0.0141348 -1.60852 0 0.0112495 -1.77987 0 0.00919434 -1.89475 0
-          0.0638551 0.00186854 0 0.0588229 -0.00272496 0 0.0496947 -0.0475259 0 0.0435467 -0.19288 0
-          0.038378 -0.458353 0 0.0305152 -0.867036 0 0.0221386 -1.44807 0 0.0164115 -2.11568 0
-          0.0125123 -2.7794 0 0.00721903 -3.40825 0 -0.00100371 -3.99744 0 -0.00742319 -4.52997 0
-          -0.0083278 -4.9692 0 -0.00675228 -5.31906 0 -0.00484026 -5.60285 0 -0.00372104 -5.78896 0
-          0.0633478 -0.0174282 0 0.056677 -0.145258 0 0.0417843 -0.632041 0 0.0267666 -1.63685 0
-          0.0120249 -2.95342 0 -0.00521208 -4.36494 0 -0.0190776 -5.74016 0 -0.0238655 -6.91287 0
-          -0.0232978 -7.84874 0 -0.0230369 -8.59144 0 -0.0247241 -9.12835 0 -0.0241065 -9.40803 0
-          -0.0192386 -9.49903 0 -0.0140473 -9.52962 0 -0.00964972 -9.5519 0 -0.00736024 -9.57169 0
-          0.0557332 -0.254612 0 0.0392977 -1.39841 0 0.00230937 -3.89971 0 -0.0301996 -7.12168 0
-          -0.0482888 -9.99591 0 -0.0580147 -12.1292 0 -0.0588047 -13.4232 0 -0.0505745 -14.057 0
-          -0.0408131 -14.3867 0 -0.0334319 -14.5981 0 -0.0269454 -14.4606 0 -0.0191991 -13.8472 0
-          -0.0121905 -13.2342 0 -0.00843178 -12.8709 0 -0.00617655 -12.6545 0 -0.00497851 -12.5446 0
-          0.0114385 -1.87278 0 -0.0260362 -7.41083 0 -0.0880861 -14.4002 0 -0.111566 -19.4353 0
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diff --git a/test/references/pipe_zeroeqni.vtu b/test/references/pipe_zeroeqni.vtu
new file mode 100644
index 0000000000..cba5f476bd
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diff --git a/test/references/test_channel_zeroeq2cni.vtu b/test/references/test_channel_zeroeq2cni.vtu
new file mode 100644
index 0000000000..23a0eda55a
--- /dev/null
+++ b/test/references/test_channel_zeroeq2cni.vtu
@@ -0,0 +1,697 @@
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-- 
GitLab