diff --git a/dumux/discretization/cellcentered/tpfa/fvelementgeometry.hh b/dumux/discretization/cellcentered/tpfa/fvelementgeometry.hh
index 64d46973bef124dd676e489c6727cffcb92863f8..7d2981bfe771c7c58c808fb24d1e136b0dceeb74 100644
--- a/dumux/discretization/cellcentered/tpfa/fvelementgeometry.hh
+++ b/dumux/discretization/cellcentered/tpfa/fvelementgeometry.hh
@@ -258,6 +258,7 @@ public:
{
neighborScvs_.reserve(element.subEntities(1));
neighborScvfIndices_.reserve(element.subEntities(1));
+ neighborScvfs_.reserve(element.subEntities(1));
if (intersection.neighbor())
makeNeighborGeometries(intersection.outside());
}
@@ -320,6 +321,8 @@ public:
{
clear();
elementPtr_ = &element;
+ scvfs_.reserve(element.subEntities(1));
+ scvfIndices_.reserve(element.subEntities(1));
makeElementGeometries(element);
}
diff --git a/dumux/discretization/methods.hh b/dumux/discretization/methods.hh
index 81a8054d7a2bfd47044a7b79f2e32827454097e5..54b2cd04bb485b426954f7f866a3371b88fda218 100644
--- a/dumux/discretization/methods.hh
+++ b/dumux/discretization/methods.hh
@@ -26,9 +26,13 @@
namespace Dumux
{
+ //! The discretization methods
+ //! \note Use none if specifying a discretization method is required but
+ //! the class in question is not specific to a a discretization method
+ //! or the classification is non-applicable
enum class DiscretizationMethods : unsigned int
{
- Box, CCTpfa, CCMpfa
+ None, Box, CCTpfa, CCMpfa
};
} // end namespace Dumux
diff --git a/dumux/discretization/stationaryvelocityfield.hh b/dumux/discretization/stationaryvelocityfield.hh
new file mode 100644
index 0000000000000000000000000000000000000000..4b65581dba989325724710a8da36fda2268e5d57
--- /dev/null
+++ b/dumux/discretization/stationaryvelocityfield.hh
@@ -0,0 +1,75 @@
+// -*- 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 2 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/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \brief This file contains the data which is required to calculate
+ * volume and mass fluxes of fluid phases over a face of a finite volume.
+ * A stationary velocity field is given by the user for use in tracer models.
+ */
+#ifndef DUMUX_DISCRETIZATION_STATIONARY_VELOCITY_FIELD_HH
+#define DUMUX_DISCRETIZATION_STATIONARY_VELOCITY_FIELD_HH
+
+#include <dumux/discretization/fluxvariablescaching.hh>
+
+namespace Dumux
+{
+/*!
+ * \ingroup StationaryVelocityField
+ * \brief Evaluates a user given velocity field
+ */
+template <class TypeTag>
+class StationaryVelocityField
+{
+ using Problem = typename GET_PROP_TYPE(TypeTag, Problem);
+ using SubControlVolumeFace = typename GET_PROP_TYPE(TypeTag, SubControlVolumeFace);
+ using GridView = typename GET_PROP_TYPE(TypeTag, GridView);
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using FVElementGeometry = typename GET_PROP_TYPE(TypeTag, FVElementGeometry);
+ using ElementVolumeVariables = typename GET_PROP_TYPE(TypeTag, ElementVolumeVariables);
+ using ElementFluxVarsCache = typename GET_PROP_TYPE(TypeTag, ElementFluxVariablesCache);
+ using Element = typename GridView::template Codim<0>::Entity;
+
+public:
+ // state the discretization method this implementation belongs to
+ static const DiscretizationMethods myDiscretizationMethod = DiscretizationMethods::None;
+
+ //! state the type for the corresponding cache and its filler
+ //! We don't cache anything for this law
+ using Cache = FluxVariablesCaching::EmptyAdvectionCache;
+ using CacheFiller = FluxVariablesCaching::EmptyCacheFiller<TypeTag>;
+
+ static Scalar flux(const Problem& problem,
+ const Element& element,
+ const FVElementGeometry& fvGeometry,
+ const ElementVolumeVariables& elemVolVars,
+ const SubControlVolumeFace& scvf,
+ int phaseIdx,
+ const ElementFluxVarsCache& elemFluxVarsCache)
+ {
+ //! Obtain the velocity field from the user, specified in the spatial params
+ return problem.spatialParams().velocity(element, scvf)
+ * scvf.unitOuterNormal()
+ * scvf.area()
+ * elemVolVars[fvGeometry.scv(scvf.insideScvIdx())].extrusionFactor();
+ }
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/dumux/porousmediumflow/CMakeLists.txt b/dumux/porousmediumflow/CMakeLists.txt
index de81dec4ffd6e92f1655c5556218d8115d01c1ba..76eeae0efb74a908bf13f572a44bea7a332b2673 100644
--- a/dumux/porousmediumflow/CMakeLists.txt
+++ b/dumux/porousmediumflow/CMakeLists.txt
@@ -17,3 +17,4 @@ add_subdirectory("mpnc")
add_subdirectory("nonisothermal")
add_subdirectory("richards")
add_subdirectory("sequential")
+add_subdirectory("tracer")
diff --git a/dumux/porousmediumflow/tracer/CMakeLists.txt b/dumux/porousmediumflow/tracer/CMakeLists.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ba8341c614f1a2c797c95f5402f602025f1087b1
--- /dev/null
+++ b/dumux/porousmediumflow/tracer/CMakeLists.txt
@@ -0,0 +1 @@
+add_subdirectory("implicit")
diff --git a/dumux/porousmediumflow/tracer/implicit/CMakeLists.txt b/dumux/porousmediumflow/tracer/implicit/CMakeLists.txt
new file mode 100644
index 0000000000000000000000000000000000000000..44e4720c35a7d4c3be4590c21dd2eec4daa2b3d0
--- /dev/null
+++ b/dumux/porousmediumflow/tracer/implicit/CMakeLists.txt
@@ -0,0 +1,9 @@
+
+#install headers
+install(FILES
+indices.hh
+model.hh
+properties.hh
+propertydefaults.hh
+volumevariables.hh
+DESTINATION ${CMAKE_INSTALL_INCLUDEDIR}/dumux/porousmediumflow/1p2c/implicit)
diff --git a/dumux/porousmediumflow/tracer/implicit/indices.hh b/dumux/porousmediumflow/tracer/implicit/indices.hh
new file mode 100644
index 0000000000000000000000000000000000000000..0c0958e122f3b3054a16bcb4144ffb1eeb4d967a
--- /dev/null
+++ b/dumux/porousmediumflow/tracer/implicit/indices.hh
@@ -0,0 +1,50 @@
+// -*- 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 2 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/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \brief Defines the primary variable and equation indices used by tracer model
+ */
+
+#ifndef DUMUX_TRACER_INDICES_HH
+#define DUMUX_TRACER_INDICES_HH
+
+#include "properties.hh"
+
+namespace Dumux
+{
+// \{
+
+/*!
+ * \ingroup TracerModel
+ * \ingroup ImplicitIndices
+ * \brief The indices for the isothermal tracer model.
+ */
+template <class TypeTag, int PVOffset = 0>
+struct TracerIndices
+{
+ //! Component indices are just numbered by component index
+ //! primary variable indices are just numbered by component index
+ //! Equation indices
+ static const int transportEqIdx = PVOffset + 0; //!< transport equation index
+};
+
+// \}
+}
+
+#endif
diff --git a/dumux/porousmediumflow/tracer/implicit/localresidual.hh b/dumux/porousmediumflow/tracer/implicit/localresidual.hh
new file mode 100644
index 0000000000000000000000000000000000000000..9e42c8202fa97fa8f3e062fd361ecfcdebb31f60
--- /dev/null
+++ b/dumux/porousmediumflow/tracer/implicit/localresidual.hh
@@ -0,0 +1,159 @@
+// -*- 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 2 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/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Element-wise calculation of the local residual for problems
+ * using fully implicit tracer model.
+ */
+#ifndef DUMUX_TRACER_LOCAL_RESIDUAL_HH
+#define DUMUX_TRACER_LOCAL_RESIDUAL_HH
+
+namespace Dumux
+{
+
+/*!
+ * \ingroup Implicit
+ * \ingroup TracerLocalResidual
+ * \brief Element-wise calculation of the local residual for problems
+ * using fully implicit tracer model.
+ *
+ */
+template<class TypeTag>
+class TracerLocalResidual: public GET_PROP_TYPE(TypeTag, BaseLocalResidual)
+{
+ using ParentType = typename GET_PROP_TYPE(TypeTag, BaseLocalResidual);
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using SubControlVolume = typename GET_PROP_TYPE(TypeTag, SubControlVolume);
+ using SubControlVolumeFace = typename GET_PROP_TYPE(TypeTag, SubControlVolumeFace);
+ using PrimaryVariables = typename GET_PROP_TYPE(TypeTag, PrimaryVariables);
+ using FluxVariables = typename GET_PROP_TYPE(TypeTag, FluxVariables);
+ using ElementFluxVariablesCache = typename GET_PROP_TYPE(TypeTag, ElementFluxVariablesCache);
+ using Indices = typename GET_PROP_TYPE(TypeTag, Indices);
+ using BoundaryTypes = typename GET_PROP_TYPE(TypeTag, BoundaryTypes);
+ using FVElementGeometry = typename GET_PROP_TYPE(TypeTag, FVElementGeometry);
+ using GridView = typename GET_PROP_TYPE(TypeTag, GridView);
+ using Element = typename GridView::template Codim<0>::Entity;
+ using ElementVolumeVariables = typename GET_PROP_TYPE(TypeTag, ElementVolumeVariables);
+ using VolumeVariables = typename GET_PROP_TYPE(TypeTag, VolumeVariables);
+ using EnergyLocalResidual = typename GET_PROP_TYPE(TypeTag, EnergyLocalResidual);
+
+ static const int numComponents = GET_PROP_VALUE(TypeTag, NumComponents);
+
+public:
+
+ /*!
+ * \brief Evaluate the amount of all conservation quantities
+ * (e.g. phase mass) within a sub-control volume.
+ *
+ * The result should be averaged over the volume (e.g. phase mass
+ * inside a sub control volume divided by the volume)
+ *
+ * \param scv The sub control volume
+ * \param volVars The primary and secondary varaibles on the scv
+ * \param useMoles If mole or mass fractions are used
+ */
+ PrimaryVariables computeStorage(const SubControlVolume& scv,
+ const VolumeVariables& volVars,
+ bool useMoles = true) const
+ {
+ PrimaryVariables storage(0.0);
+
+ // formulation with mole balances
+ if (useMoles)
+ {
+ for (int compIdx = 0; compIdx < numComponents; ++compIdx)
+ storage[compIdx] += volVars.porosity()
+ * volVars.molarDensity(0)
+ * volVars.moleFraction(0, compIdx);
+ }
+ // formulation with mass balances
+ else
+ {
+ for (int compIdx = 0; compIdx < numComponents; ++compIdx)
+ storage[compIdx] += volVars.porosity()
+ * volVars.density(0)
+ * volVars.massFraction(0, compIdx);
+ }
+
+ return storage;
+ }
+
+ /*!
+ * \brief Evaluates the total flux of all conservation quantities
+ * over a face of a sub-control volume.
+ *
+ * \param element The element
+ * \param fvGeometry The finite volume geometry context
+ * \param elemVolVars The volume variables for all flux stencil elements
+ * \param scvf The sub control volume face
+ * \param elemFluxVarsCache The cache related to flux compuation
+ * \param useMoles If mole or mass fractions are used
+ */
+ PrimaryVariables computeFlux(const Element& element,
+ const FVElementGeometry& fvGeometry,
+ const ElementVolumeVariables& elemVolVars,
+ const SubControlVolumeFace& scvf,
+ const ElementFluxVariablesCache& elemFluxVarsCache,
+ bool useMoles = true)
+ {
+ FluxVariables fluxVars;
+ fluxVars.init(this->problem(), element, fvGeometry, elemVolVars, scvf, elemFluxVarsCache);
+
+ // get upwind weights into local scope
+ PrimaryVariables flux(0.0);
+
+ // formulation with mole balances
+ if (useMoles)
+ {
+ for (int compIdx = 0; compIdx < numComponents; ++compIdx)
+ {
+ // the physical quantities for which we perform upwinding
+ auto upwindTerm = [compIdx](const VolumeVariables& volVars)
+ { return volVars.molarDensity()*volVars.moleFraction(0, compIdx); };
+
+ // advective fluxes
+ flux[compIdx] += fluxVars.advectiveFlux(0, upwindTerm);
+ // diffusive fluxes
+ flux[compIdx] += fluxVars.molecularDiffusionFlux(0, compIdx);
+ }
+ }
+ // formulation with mass balances
+ else
+ {
+ for (int compIdx = 0; compIdx < numComponents; ++compIdx)
+ {
+ // the physical quantities for which we perform upwinding
+ auto upwindTerm = [compIdx](const VolumeVariables& volVars)
+ { return volVars.density()*volVars.massFraction(0, compIdx); };
+
+ // advective fluxes
+ flux[compIdx] += fluxVars.advectiveFlux(0, upwindTerm);
+ // diffusive fluxes
+ flux[compIdx] += fluxVars.molecularDiffusionFlux(0, compIdx);
+ }
+ }
+
+ return flux;
+ }
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/dumux/porousmediumflow/tracer/implicit/model.hh b/dumux/porousmediumflow/tracer/implicit/model.hh
new file mode 100644
index 0000000000000000000000000000000000000000..47c2b374fa789633a3cd35b92a078c8b477d7499
--- /dev/null
+++ b/dumux/porousmediumflow/tracer/implicit/model.hh
@@ -0,0 +1,98 @@
+// -*- 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 2 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/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Base class for all models which use the fully implicit tracer model.
+ * Adaption of the fully implicit scheme to the tracer transport model.
+ */
+
+#ifndef DUMUX_TRACER_MODEL_HH
+#define DUMUX_TRACER_MODEL_HH
+
+#include "properties.hh"
+
+namespace Dumux
+{
+
+/*!
+ * \ingroup TracerModel
+ * \brief Adaption of the fully implicit scheme to the tracer transport model.
+ *
+ * This model implements a transport of a tracer, where density and viscosity of the
+ * fluid phase in which the tracer gets transported are not affected by the tracer.
+ * The velocity field is a given spatial parameter.
+ * The model is mainly useful for fast computations on given or precomputed
+ * velocity fields and thus generally makes sense only in combination with an incompressible
+ * one-phase flow velocity field or analytically given / artificial fields. However, reactions
+ * between multiple tracer components can be implemented.
+ *
+ * The transport of the components \f$\kappa \in \{ a, b, c, ... \}\f$ is described by the following equation:
+ \f[
+ \phi \frac{ \partial \varrho X^\kappa}{\partial t}
+ - \text{div} \left\lbrace \varrho X^\kappa {\textbf v_f}
+ + \varrho D^\kappa_\text{pm} \frac{M^\kappa}{M_\alpha} \textbf{grad} x^\kappa \right\rbrace = q.
+ \f]
+ *
+ * All equations are discretized using a vertex-centered finite volume (box)
+ * or cell-centered finite volume scheme (TPFA or MPFA) as spatial
+ * and the implicit Euler method as time discretization.
+ * The model is able to use either mole or mass fractions. The property useMoles can be set to either true or false in the
+ * problem file. Make sure that the according units are used in the problem setup. useMoles is set to true by default.
+ *
+ * The primary variables the mole or mass fraction of dissolved components \f$x\f$.
+ * Note that the tracer model is always considered non-isothermal.
+ * The velocity output is fully compatible with the tracer model if you want to write the velocity field to vtk.
+ */
+
+template<class TypeTag >
+class TracerModel : public GET_PROP_TYPE(TypeTag, BaseModel)
+{
+ using ParentType = typename GET_PROP_TYPE(TypeTag, BaseModel);
+ using Problem = typename GET_PROP_TYPE(TypeTag, Problem);
+ using FluidSystem = typename GET_PROP_TYPE(TypeTag, FluidSystem);
+ using VolumeVariables = typename GET_PROP_TYPE(TypeTag, VolumeVariables);
+
+public:
+
+ /*!
+ * \brief Apply the initial conditions to the model.
+ *
+ * \param problem The object representing the problem which needs to
+ * be simulated.
+ */
+ void init(Problem& problem)
+ {
+ ParentType::init(problem);
+
+ // register standardized vtk output fields
+ auto& vtkOutputModule = problem.vtkOutputModule();
+ vtkOutputModule.addSecondaryVariable("x_" + std::string(FluidSystem::componentName(0)),
+ [](const VolumeVariables& v){ return v.moleFraction(0, 0); });
+ vtkOutputModule.addSecondaryVariable("X_" + std::string(FluidSystem::componentName(0)),
+ [](const VolumeVariables& v){ return v.massFraction(0, 0); });
+ vtkOutputModule.addSecondaryVariable("rho", [](const VolumeVariables& v){ return v.density(); });
+ }
+};
+
+} // end namespace Dumux
+
+#include "propertydefaults.hh"
+
+#endif
diff --git a/dumux/porousmediumflow/tracer/implicit/properties.hh b/dumux/porousmediumflow/tracer/implicit/properties.hh
new file mode 100644
index 0000000000000000000000000000000000000000..9bd1ae8f90a55b0cc71d97dfeb526b5bd50a6568
--- /dev/null
+++ b/dumux/porousmediumflow/tracer/implicit/properties.hh
@@ -0,0 +1,70 @@
+// -*- 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 2 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/>. *
+ *****************************************************************************/
+/*!
+ * \ingroup Properties
+ * \ingroup ImplicitProperties
+ * \ingroup TracerModel
+ * \file
+ *
+ * \brief Defines the properties required for the fully implicit tracer model.
+ */
+
+#ifndef DUMUX_TRACER_PROPERTIES_HH
+#define DUMUX_TRACER_PROPERTIES_HH
+
+
+#include <dumux/implicit/box/properties.hh>
+#include <dumux/implicit/cellcentered/tpfa/properties.hh>
+#include <dumux/porousmediumflow/nonisothermal/implicit/properties.hh>
+
+namespace Dumux
+{
+// \{
+namespace Properties
+{
+
+//////////////////////////////////////////////////////////////////
+// Type tags
+//////////////////////////////////////////////////////////////////
+
+//! The type tags for the fully implicit tracer model.
+NEW_TYPE_TAG(Tracer);
+NEW_TYPE_TAG(BoxTracer, INHERITS_FROM(BoxModel, Tracer));
+NEW_TYPE_TAG(CCTracer, INHERITS_FROM(CCTpfaModel, Tracer));
+
+//////////////////////////////////////////////////////////////////
+// Property tags
+//////////////////////////////////////////////////////////////////
+
+NEW_PROP_TAG(NumPhases); //!< Number of fluid phases in the system
+NEW_PROP_TAG(NumComponents); //!< Number of fluid components in the system
+NEW_PROP_TAG(Indices); //!< Enumerations for the model
+NEW_PROP_TAG(SpatialParams); //!< The type of the spatial parameters
+NEW_PROP_TAG(EffectiveDiffusivityModel); //!< The employed model for the computation of the effective diffusivity
+NEW_PROP_TAG(FluidSystem); //!< Type of the multi-component relations
+NEW_PROP_TAG(UseMoles); //!< Defines whether mole (true) or mass (false) fractions are used
+NEW_PROP_TAG(SpatialParamsForchCoeff); //!< Property for the forchheimer coefficient
+NEW_PROP_TAG(TauTortuosity); //!< Tortuosity value (tau) used in macroscopic diffusion
+NEW_PROP_TAG(ProblemEnableGravity); //!< gravity flag for compatibility
+
+}
+// \}
+}
+
+#endif
diff --git a/dumux/porousmediumflow/tracer/implicit/propertydefaults.hh b/dumux/porousmediumflow/tracer/implicit/propertydefaults.hh
new file mode 100644
index 0000000000000000000000000000000000000000..c2565dbeaae2ba38573a6f79a570c2752acea592
--- /dev/null
+++ b/dumux/porousmediumflow/tracer/implicit/propertydefaults.hh
@@ -0,0 +1,117 @@
+// -*- 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 2 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/>. *
+ *****************************************************************************/
+/*!
+ * \ingroup Properties
+ * \ingroup ImplicitProperties
+ * \ingroup TracerModel
+ * \file
+ *
+ * \brief Defines some default values for the properties of the fully implicit tracer model.
+ */
+
+#ifndef DUMUX_TRACER_PROPERTY_DEFAULTS_HH
+#define DUMUX_TRACER_PROPERTY_DEFAULTS_HH
+
+#include "properties.hh"
+#include "model.hh"
+#include "volumevariables.hh"
+#include "indices.hh"
+#include "localresidual.hh"
+
+#include <dumux/material/spatialparams/implicit1p.hh>
+#include <dumux/discretization/stationaryvelocityfield.hh>
+#include <dumux/material/fluidmatrixinteractions/diffusivityconstant.hh>
+
+namespace Dumux
+{
+// \{
+namespace Properties
+{
+//////////////////////////////////////////////////////////////////
+// Property values
+//////////////////////////////////////////////////////////////////
+SET_INT_PROP(Tracer, NumPhases, 1); //!< The number of phases
+
+SET_PROP(Tracer, NumEq) //!< set the number of equations
+{
+ using FluidSystem = typename GET_PROP_TYPE(TypeTag, FluidSystem);
+ static const int value = FluidSystem::numComponents;
+};
+
+SET_PROP(Tracer, NumComponents) //!< set the number of components
+{
+ using FluidSystem = typename GET_PROP_TYPE(TypeTag, FluidSystem);
+ static const int value = FluidSystem::numComponents;
+};
+
+SET_BOOL_PROP(Tracer, UseMoles, true); //!< Define that mole fractions are used in the balance equations
+
+//! Use the tracer local residual function for the tracer model
+SET_TYPE_PROP(Tracer, LocalResidual, TracerLocalResidual<TypeTag>);
+
+//! define the model
+SET_TYPE_PROP(Tracer, Model, TracerModel<TypeTag>);
+
+//! define the VolumeVariables
+SET_TYPE_PROP(Tracer, VolumeVariables, TracerVolumeVariables<TypeTag>);
+
+//! We use darcy's law as the default for the advective fluxes
+SET_TYPE_PROP(Tracer, AdvectionType, StationaryVelocityField<TypeTag>);
+
+//! set gravity flag for compatibility
+SET_BOOL_PROP(Tracer, ProblemEnableGravity, false);
+
+//! Set the indices used by the tracer model
+SET_TYPE_PROP(Tracer, Indices, TracerIndices<TypeTag>);
+//! The spatial parameters to be employed.
+//! Use ImplicitSpatialParamsOneP by default.
+SET_TYPE_PROP(Tracer, SpatialParams, ImplicitSpatialParamsOneP<TypeTag>);
+
+//! Use simple model with constant tortuosity as pm diffusivity model
+SET_PROP(Tracer, EffectiveDiffusivityModel)
+{
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using type = DiffusivityConstant<TypeTag>;
+};
+
+// physical processes to be considered by the isothermal model
+SET_BOOL_PROP(Tracer, EnableAdvection, true);
+SET_BOOL_PROP(Tracer, EnableMolecularDiffusion, true);
+SET_BOOL_PROP(Tracer, EnableEnergyBalance, false);
+
+//! default value for the forchheimer coefficient
+// Source: Ward, J.C. 1964 Turbulent flow in porous media. ASCE J. Hydraul. Div 90.
+// Actually the Forchheimer coefficient is also a function of the dimensions of the
+// porous medium. Taking it as a constant is only a first approximation
+// (Nield, Bejan, Convection in porous media, 2006, p. 10)
+SET_SCALAR_PROP(Tracer, SpatialParamsForchCoeff, 0.55);
+
+/*!
+ * \brief default value for tortuosity value (tau) used in macroscopic diffusion
+ *
+ * Value is 0.5 according to Carman 1937: <i>Fluid flow through granular beds</i>
+ * \cite carman1937
+ */
+SET_SCALAR_PROP(Tracer, TauTortuosity, 0.5);
+
+} // end namespace Properties
+// \}
+} // end namespace Dumux
+
+#endif
diff --git a/dumux/porousmediumflow/tracer/implicit/volumevariables.hh b/dumux/porousmediumflow/tracer/implicit/volumevariables.hh
new file mode 100644
index 0000000000000000000000000000000000000000..f4b9151c973bb85d3b0dfcd60d89ff4b84c6b725
--- /dev/null
+++ b/dumux/porousmediumflow/tracer/implicit/volumevariables.hh
@@ -0,0 +1,175 @@
+// -*- 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 2 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/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \brief Quantities required by the tracer model in a control volume
+ */
+#ifndef DUMUX_TRACER_VOLUME_VARIABLES_HH
+#define DUMUX_TRACER_VOLUME_VARIABLES_HH
+
+#include <dumux/discretization/volumevariables.hh>
+
+#include "properties.hh"
+
+namespace Dumux
+{
+
+/*!
+ * \ingroup TracerModel
+ * \ingroup ImplicitVolumeVariables
+ * \brief Contains the quantities which are constant within a
+ * finite volume for the tracer model.
+ */
+template <class TypeTag>
+class TracerVolumeVariables : public ImplicitVolumeVariables<TypeTag>
+{
+ using ParentType = ImplicitVolumeVariables<TypeTag>;
+
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using Problem = typename GET_PROP_TYPE(TypeTag, Problem);
+ using GridView = typename GET_PROP_TYPE(TypeTag, GridView);
+ using Implementation = typename GET_PROP_TYPE(TypeTag, VolumeVariables);
+ using SubControlVolume = typename GET_PROP_TYPE(TypeTag, SubControlVolume);
+ using PrimaryVariables = typename GET_PROP_TYPE(TypeTag, PrimaryVariables);
+ using ElementSolutionVector = typename GET_PROP_TYPE(TypeTag, ElementSolutionVector);
+ using SpatialParams = typename GET_PROP_TYPE(TypeTag, SpatialParams);
+ using FluidSystem = typename GET_PROP_TYPE(TypeTag, FluidSystem);
+ using Indices = typename GET_PROP_TYPE(TypeTag, Indices);
+
+ static const bool useMoles = GET_PROP_VALUE(TypeTag, UseMoles);
+ static const int dim = GridView::dimension;
+ static const int dimWorld = GridView::dimensionworld;
+ static const int numComponents = GET_PROP_VALUE(TypeTag, NumComponents);
+
+ using GlobalPosition = Dune::FieldVector<Scalar,dimWorld>;
+ using Element = typename GridView::template Codim<0>::Entity;
+
+public:
+
+ /*!
+ * \copydoc ImplicitVolumeVariables::update
+ */
+ void update(const ElementSolutionVector &elemSol,
+ const Problem &problem,
+ const Element &element,
+ const SubControlVolume &scv)
+ {
+ // update parent type sets primary variables
+ ParentType::update(elemSol, problem, element, scv);
+
+ porosity_ = problem.spatialParams().porosity(element, scv, elemSol);
+ dispersivity_ = problem.spatialParams().dispersivity(element, scv, elemSol);
+
+ // the spatial params special to the tracer model
+ fluidDensity_ = problem.spatialParams().fluidDensity(element, scv);
+ fluidMolarMass_ = problem.spatialParams().fluidMolarMass(element, scv);
+
+ for (int compIdx = 0; compIdx < numComponents; ++compIdx)
+ {
+ moleFraction_[compIdx] = this->priVars()[compIdx];
+ diffCoeff_[compIdx] =
+ FluidSystem::binaryDiffusionCoefficient(compIdx, problem, element, scv);
+ }
+ }
+
+ /*!
+ * \brief Return density \f$\mathrm{[kg/m^3]}\f$ the of the fluid phase.
+ *
+ * We always forward to the fluid state with the phaseIdx property (see class description).
+ */
+ Scalar density(int pIdx = 0) const
+ { return fluidDensity_; }
+
+ /*!
+ * \brief Return the saturation
+ *
+ * This method is here for compatibility reasons with other models. The saturation
+ * is always 1.0 in a one-phasic context.
+ */
+ Scalar saturation(int pIdx = 0) const
+ { return 1.0; }
+
+ /*!
+ * \brief Return the mobility
+ *
+ * This method is here for compatibility reasons with other models. The mobility is always 1
+ * for one-phasic models where the velocity field is given
+ */
+ Scalar mobility(int pIdx = 0) const
+ { return 1.0; }
+
+ /*!
+ * \brief Return molar density \f$\mathrm{[mol/m^3]}\f$ the of the fluid phase.
+ */
+ Scalar molarDensity(int pIdx = 0) const
+ { return fluidDensity_/fluidMolarMass_; }
+
+ /*!
+ * \brief Return mole fraction \f$\mathrm{[mol/mol]}\f$ of a component in the phase.
+ * \param compIdx The index of the component
+ */
+ Scalar moleFraction(int pIdx, int compIdx) const
+ { return moleFraction_[compIdx]; }
+
+ /*!
+ * \brief Return mass fraction \f$\mathrm{[kg/kg]}\f$ of a component in the phase.
+ * \param compIdx The index of the component
+ */
+ Scalar massFraction(int pIdx, int compIdx) const
+ { return moleFraction_[compIdx]*FluidSystem::molarMass(compIdx)/fluidMolarMass_; }
+
+ /*!
+ * \brief Return concentration \f$\mathrm{[mol/m^3]}\f$ of a component in the phase.
+ * \param compIdx The index of the component
+ */
+ Scalar molarity(int pIdx, int compIdx) const
+ { return moleFraction(pIdx, compIdx)*molarDensity(); }
+
+ /*!
+ * \brief Return the binary diffusion coefficient \f$\mathrm{[m^2/s]}\f$ in the fluid.
+ */
+ Scalar diffusionCoefficient(int pIdx, int compIdx) const
+ { return diffCoeff_[compIdx]; }
+
+ /*!
+ * \brief Returns the dispersivity of the fluid's streamlines.
+ */
+ const GlobalPosition &dispersivity() const
+ { return dispersivity_; }
+
+ /*!
+ * \brief Return the average porosity \f$\mathrm{[-]}\f$ within the control volume.
+ */
+ Scalar porosity() const
+ { return porosity_; }
+
+protected:
+ Scalar porosity_; //!< Effective porosity within the control volume
+ Scalar fluidDensity_, fluidMolarMass_;
+ GlobalPosition dispersivity_;
+ std::array<Scalar, numComponents> diffCoeff_;
+ std::array<Scalar, numComponents> moleFraction_;
+
+private:
+ const Problem* problem_;
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/test/porousmediumflow/CMakeLists.txt b/test/porousmediumflow/CMakeLists.txt
index 53b792a0788106bfcc0a516db26aedac9df0d4b7..8b6532dc0c4aac178b247a2f0566117cf352cc62 100644
--- a/test/porousmediumflow/CMakeLists.txt
+++ b/test/porousmediumflow/CMakeLists.txt
@@ -13,3 +13,4 @@ add_subdirectory("3pwateroil")
add_subdirectory("co2")
add_subdirectory("mpnc")
add_subdirectory("richards")
+add_subdirectory("tracer")
diff --git a/test/porousmediumflow/tracer/CMakeLists.txt b/test/porousmediumflow/tracer/CMakeLists.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ba8341c614f1a2c797c95f5402f602025f1087b1
--- /dev/null
+++ b/test/porousmediumflow/tracer/CMakeLists.txt
@@ -0,0 +1 @@
+add_subdirectory("implicit")
diff --git a/test/porousmediumflow/tracer/implicit/CMakeLists.txt b/test/porousmediumflow/tracer/implicit/CMakeLists.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6e5da54b2cf68d059ddf58186c23d7a2ef227e79
--- /dev/null
+++ b/test/porousmediumflow/tracer/implicit/CMakeLists.txt
@@ -0,0 +1,35 @@
+add_input_file_links()
+
+# tracer tests
+add_dumux_test(test_cctracer test_cctracer test_cctracer.cc
+ python ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+ --script fuzzy
+ --files ${CMAKE_SOURCE_DIR}/test/references/cctracer-reference.vtu
+ ${CMAKE_CURRENT_BINARY_DIR}/cctracer-00027.vtu
+ --command "${CMAKE_CURRENT_BINARY_DIR}/test_cctracer")
+
+add_dumux_test(test_ccmpfatracer test_ccmpfatracer test_ccmpfatracer.cc
+ python ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+ --script fuzzy
+ --files ${CMAKE_SOURCE_DIR}/test/references/ccmpfatracer-reference.vtu
+ ${CMAKE_CURRENT_BINARY_DIR}/ccmpfatracer-00027.vtu
+ --command "${CMAKE_CURRENT_BINARY_DIR}/test_ccmpfatracer")
+
+add_dumux_test(test_boxtracer test_boxtracer test_boxtracer.cc
+ python ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+ --script fuzzy
+ --files ${CMAKE_SOURCE_DIR}/test/references/boxtracer-reference.vtu
+ ${CMAKE_CURRENT_BINARY_DIR}/boxtracer-00027.vtu
+ --command "${CMAKE_CURRENT_BINARY_DIR}/test_boxtracer")
+
+#install sources
+install(FILES
+tracertestproblem.hh
+tracertestspatialparams.hh
+test_cctracer.cc
+test_cctracer.input
+test_ccmpfatracer.cc
+test_ccmpfatracer.input
+test_boxtracer.cc
+test_boxtracer.input
+DESTINATION ${CMAKE_INSTALL_INCLUDEDIR}/dumux/test/porousmediumflow/tracer/implicit)
diff --git a/test/porousmediumflow/tracer/implicit/test_boxtracer.cc b/test/porousmediumflow/tracer/implicit/test_boxtracer.cc
new file mode 100644
index 0000000000000000000000000000000000000000..81b429bb4b2be76e803587732453eba6b8ffc41b
--- /dev/null
+++ b/test/porousmediumflow/tracer/implicit/test_boxtracer.cc
@@ -0,0 +1,54 @@
+// -*- 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 2 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/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief test for the tracer model
+ */
+#include <config.h>
+#include "tracertestproblem.hh"
+#include <dumux/common/start.hh>
+
+/*!
+ * \brief Provides an interface for customizing error messages associated with
+ * reading in parameters.
+ *
+ * \param progName The name of the program, that was tried to be started.
+ * \param errorMsg The error message that was issued by the start function.
+ * Comprises the thing that went wrong and a general help message.
+ */
+void usage(const char *progName, const std::string &errorMsg)
+{
+ if (errorMsg.size() > 0) {
+ std::string errorMessageOut = "\nUsage: ";
+ errorMessageOut += progName;
+ errorMessageOut += " [options]\n";
+ errorMessageOut += errorMsg;
+ errorMessageOut += "\n\nThe list of mandatory options for this program is:\n"
+ "\t-TimeManager.TEnd End of the simulation [s] \n"
+ "\t-TimeManager.DtInitial Initial timestep size [s] \n";
+ std::cout << errorMessageOut
+ << "\n";
+ }
+}
+
+int main(int argc, char** argv)
+{
+ return Dumux::start<TTAG(TracerTestBoxProblem)>(argc, argv, usage);
+}
diff --git a/test/porousmediumflow/tracer/implicit/test_boxtracer.input b/test/porousmediumflow/tracer/implicit/test_boxtracer.input
new file mode 100644
index 0000000000000000000000000000000000000000..918e5e859a4dcb44d67a9b4870c2ffbb720289a9
--- /dev/null
+++ b/test/porousmediumflow/tracer/implicit/test_boxtracer.input
@@ -0,0 +1,13 @@
+[TimeManager]
+DtInitial = 1 # [s]
+TEnd = 1e6 # [s]
+
+[Grid]
+UpperRight = 1 1
+Cells = 50 50
+
+[Problem]
+Name = boxtracer # name passed to the output routines
+
+[Vtk]
+AddVelocity = true
diff --git a/test/porousmediumflow/tracer/implicit/test_ccmpfatracer.cc b/test/porousmediumflow/tracer/implicit/test_ccmpfatracer.cc
new file mode 100644
index 0000000000000000000000000000000000000000..7e5be4aadd811769149407729c9cf2b4492f99db
--- /dev/null
+++ b/test/porousmediumflow/tracer/implicit/test_ccmpfatracer.cc
@@ -0,0 +1,54 @@
+// -*- 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 2 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/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief test for the tracer model
+ */
+#include <config.h>
+#include "tracertestproblem.hh"
+#include <dumux/common/start.hh>
+
+/*!
+ * \brief Provides an interface for customizing error messages associated with
+ * reading in parameters.
+ *
+ * \param progName The name of the program, that was tried to be started.
+ * \param errorMsg The error message that was issued by the start function.
+ * Comprises the thing that went wrong and a general help message.
+ */
+void usage(const char *progName, const std::string &errorMsg)
+{
+ if (errorMsg.size() > 0) {
+ std::string errorMessageOut = "\nUsage: ";
+ errorMessageOut += progName;
+ errorMessageOut += " [options]\n";
+ errorMessageOut += errorMsg;
+ errorMessageOut += "\n\nThe list of mandatory options for this program is:\n"
+ "\t-TimeManager.TEnd End of the simulation [s] \n"
+ "\t-TimeManager.DtInitial Initial timestep size [s] \n";
+ std::cout << errorMessageOut
+ << "\n";
+ }
+}
+
+int main(int argc, char** argv)
+{
+ return Dumux::start<TTAG(TracerTestCCMpfaProblem)>(argc, argv, usage);
+}
diff --git a/test/porousmediumflow/tracer/implicit/test_ccmpfatracer.input b/test/porousmediumflow/tracer/implicit/test_ccmpfatracer.input
new file mode 100644
index 0000000000000000000000000000000000000000..7c980cae67c44fb2695f035f7f9165c12d317aa7
--- /dev/null
+++ b/test/porousmediumflow/tracer/implicit/test_ccmpfatracer.input
@@ -0,0 +1,13 @@
+[TimeManager]
+DtInitial = 1 # [s]
+TEnd = 1e6 # [s]
+
+[Grid]
+UpperRight = 1 1
+Cells = 50 50
+
+[Problem]
+Name = ccmpfatracer # name passed to the output routines
+
+[Vtk]
+AddVelocity = false
diff --git a/test/porousmediumflow/tracer/implicit/test_cctracer.cc b/test/porousmediumflow/tracer/implicit/test_cctracer.cc
new file mode 100644
index 0000000000000000000000000000000000000000..0d2ba6075da87b25e03ec40d32f0021b338a9d24
--- /dev/null
+++ b/test/porousmediumflow/tracer/implicit/test_cctracer.cc
@@ -0,0 +1,54 @@
+// -*- 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 2 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/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief test for the tracer model
+ */
+#include <config.h>
+#include "tracertestproblem.hh"
+#include <dumux/common/start.hh>
+
+/*!
+ * \brief Provides an interface for customizing error messages associated with
+ * reading in parameters.
+ *
+ * \param progName The name of the program, that was tried to be started.
+ * \param errorMsg The error message that was issued by the start function.
+ * Comprises the thing that went wrong and a general help message.
+ */
+void usage(const char *progName, const std::string &errorMsg)
+{
+ if (errorMsg.size() > 0) {
+ std::string errorMessageOut = "\nUsage: ";
+ errorMessageOut += progName;
+ errorMessageOut += " [options]\n";
+ errorMessageOut += errorMsg;
+ errorMessageOut += "\n\nThe list of mandatory options for this program is:\n"
+ "\t-TimeManager.TEnd End of the simulation [s] \n"
+ "\t-TimeManager.DtInitial Initial timestep size [s] \n";
+ std::cout << errorMessageOut
+ << "\n";
+ }
+}
+
+int main(int argc, char** argv)
+{
+ return Dumux::start<TTAG(TracerTestCCProblem)>(argc, argv, usage);
+}
diff --git a/test/porousmediumflow/tracer/implicit/test_cctracer.input b/test/porousmediumflow/tracer/implicit/test_cctracer.input
new file mode 100644
index 0000000000000000000000000000000000000000..81562dd195ef591292492826c31bd5c7982497c6
--- /dev/null
+++ b/test/porousmediumflow/tracer/implicit/test_cctracer.input
@@ -0,0 +1,13 @@
+[TimeManager]
+DtInitial = 1 # [s]
+TEnd = 1e6 # [s]
+
+[Grid]
+UpperRight = 1 1
+Cells = 50 50
+
+[Problem]
+Name = cctracer # name passed to the output routines
+
+[Vtk]
+AddVelocity = true
diff --git a/test/porousmediumflow/tracer/implicit/tracertestproblem.hh b/test/porousmediumflow/tracer/implicit/tracertestproblem.hh
new file mode 100644
index 0000000000000000000000000000000000000000..c8b048db1ddc787cf08d55262c7c362ca3d493cd
--- /dev/null
+++ b/test/porousmediumflow/tracer/implicit/tracertestproblem.hh
@@ -0,0 +1,222 @@
+// -*- 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 2 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/>. *
+ *****************************************************************************/
+/**
+ * \file
+ * \brief Definition of a problem, for the tracer problem:
+ * A rotating velocity field mixes a tracer band in a porous groundwater reservoir.
+ */
+#ifndef DUMUX_TRACER_TEST_PROBLEM_HH
+#define DUMUX_TRACER_TEST_PROBLEM_HH
+
+#include <dumux/implicit/box/properties.hh>
+#include <dumux/implicit/cellcentered/tpfa/properties.hh>
+#include <dumux/implicit/cellcentered/mpfa/properties.hh>
+#include <dumux/porousmediumflow/tracer/implicit/model.hh>
+#include <dumux/porousmediumflow/implicit/problem.hh>
+
+#include "tracertestspatialparams.hh"
+
+namespace Dumux
+{
+
+template <class TypeTag>
+class TracerTestProblem;
+
+namespace Properties
+{
+NEW_TYPE_TAG(TracerTestProblem, INHERITS_FROM(Tracer));
+NEW_TYPE_TAG(TracerTestCCProblem, INHERITS_FROM(CCTpfaModel, TracerTestProblem));
+NEW_TYPE_TAG(TracerTestCCMpfaProblem, INHERITS_FROM(CCMpfaModel, TracerTestProblem));
+NEW_TYPE_TAG(TracerTestBoxProblem, INHERITS_FROM(BoxModel, TracerTestProblem));
+
+// Set the grid type
+SET_TYPE_PROP(TracerTestProblem, Grid, Dune::YaspGrid<2>);
+
+// Set the problem property
+SET_TYPE_PROP(TracerTestProblem, Problem, TracerTestProblem<TypeTag>);
+
+// Set the spatial parameters
+SET_TYPE_PROP(TracerTestProblem, SpatialParams, TracerTestSpatialParams<TypeTag>);
+
+// Define whether mole(true) or mass (false) fractions are used
+SET_BOOL_PROP(TracerTestProblem, UseMoles, false);
+
+//! A simple fluid system with one tracer component
+template<class TypeTag>
+class TracerFluidSystem
+{
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using Problem = typename GET_PROP_TYPE(TypeTag, Problem);
+ using GridView = typename GET_PROP_TYPE(TypeTag, GridView);
+ using Element = typename GridView::template Codim<0>::Entity;
+ using SubControlVolume = typename GET_PROP_TYPE(TypeTag, SubControlVolume);
+public:
+ //! The number of components
+ static constexpr int numComponents = 1;
+
+ //! Human readable component name (index compIdx) (for vtk output)
+ static std::string componentName(int compIdx)
+ { return "tracer_" + std::to_string(compIdx); }
+
+ //! Human readable phase name (index phaseIdx) (for velocity vtk output)
+ static std::string phaseName(int phaseIdx = 0)
+ { return "Groundwater"; }
+
+ //! Molar mass in kg/mol of the component with index compIdx
+ static Scalar molarMass(unsigned int compIdx)
+ { return 0.300; }
+
+ //! binary diffusion coefficient
+ //! (might depend on spatial parameters like pressure / temperature)
+ static Scalar binaryDiffusionCoefficient(unsigned int compIdx,
+ const Problem& problem,
+ const Element& element,
+ const SubControlVolume& scv)
+ { return 1.0e-9; }
+};
+
+SET_TYPE_PROP(TracerTestProblem, FluidSystem, TracerFluidSystem<TypeTag>);
+
+} // end namespace Properties
+
+
+/*!
+ * \ingroup TracerModel
+ * \ingroup ImplicitTestProblems
+ *
+ * \brief Definition of a problem, for the tracer problem:
+ * A lens of contaminant tracer is diluted by diffusion and a base groundwater flow
+ *
+ * This problem uses the \ref TracerModel model.
+ *
+ * To run the simulation execute the following line in shell:
+ * <tt>./test_boxtracer -ParameterFile ./test_boxtracer.input</tt> or
+ * <tt>./test_cctracer -ParameterFile ./test_cctracer.input</tt>
+ */
+template <class TypeTag>
+class TracerTestProblem : public ImplicitPorousMediaProblem<TypeTag>
+{
+ using ParentType = ImplicitPorousMediaProblem<TypeTag>;
+
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using Indices = typename GET_PROP_TYPE(TypeTag, Indices);
+ using GridView = typename GET_PROP_TYPE(TypeTag, GridView);
+ using TimeManager = typename GET_PROP_TYPE(TypeTag, TimeManager);
+ using BoundaryTypes = typename GET_PROP_TYPE(TypeTag, BoundaryTypes);
+ using PrimaryVariables = typename GET_PROP_TYPE(TypeTag, PrimaryVariables);
+
+ //! property that defines whether mole or mass fractions are used
+ static const bool useMoles = GET_PROP_VALUE(TypeTag, UseMoles);
+
+ static const int dimWorld = GridView::dimensionworld;
+ using GlobalPosition = Dune::FieldVector<Scalar, dimWorld>;
+
+public:
+ TracerTestProblem(TimeManager &timeManager, const GridView &gridView)
+ : ParentType(timeManager, gridView)
+ {
+ name_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, std::string, Problem, Name);
+
+ // stating in the console whether mole or mass fractions are used
+ if(useMoles)
+ std::cout<<"problem uses mole fractions" << '\n';
+ else
+ std::cout<<"problem uses mass fractions" << '\n';
+ }
+
+ /*!
+ * \name Problem parameters
+ */
+ // \{
+
+ /*!
+ * \brief The problem name.
+ *
+ * This is used as a prefix for files generated by the simulation.
+ */
+ const std::string& name() const
+ {
+ return name_;
+ }
+
+ // \}
+
+ /*!
+ * \name Boundary conditions
+ */
+ // \{
+
+ /*!
+ * \brief Specifies which kind of boundary condition should be
+ * used for which equation on a given boundary segment.
+ *
+ * \param globalPos The position for which the bc type should be evaluated
+ */
+ BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const
+ {
+ BoundaryTypes values;
+ values.setAllNeumann();
+ return values;
+ }
+
+ /*!
+ * \brief Evaluate the boundary conditions for a Neumann
+ * boundary segment.
+ *
+ * For this method, the \a priVars parameter stores the mass flux
+ * in normal direction of each component. Negative values mean
+ * influx.
+ *
+ * The units must be according to either using mole or mass fractions. (mole/(m^2*s) or kg/(m^2*s))
+ */
+ PrimaryVariables neumannAtPos(const GlobalPosition& globalPos) const
+ { return PrimaryVariables(0.0); }
+
+ // \}
+
+ /*!
+ * \name Volume terms
+ */
+ // \{
+
+ /*!
+ * \brief Evaluate the initial value for a control volume.
+ *
+ * \param globalPos The position for which the initial condition should be evaluated
+ *
+ * For this method, the \a values parameter stores primary
+ * variables.
+ */
+ PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
+ {
+ PrimaryVariables initialValues(0.0);
+ if (globalPos[1] > 0.4 - eps_ && globalPos[1] < 0.6 + eps_)
+ initialValues = 1e-9;
+ return initialValues; }
+
+ // \}
+
+private:
+ static constexpr Scalar eps_ = 1e-6;
+ std::string name_;
+};
+
+} //end namespace Dumux
+
+#endif
diff --git a/test/porousmediumflow/tracer/implicit/tracertestspatialparams.hh b/test/porousmediumflow/tracer/implicit/tracertestspatialparams.hh
new file mode 100644
index 0000000000000000000000000000000000000000..af837457442106291921434d3efb6516c509e174
--- /dev/null
+++ b/test/porousmediumflow/tracer/implicit/tracertestspatialparams.hh
@@ -0,0 +1,109 @@
+// -*- 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 2 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/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Definition of the spatial parameters for the tracer problem
+ */
+#ifndef DUMUX_TRACER_TEST_SPATIAL_PARAMS_HH
+#define DUMUX_TRACER_TEST_SPATIAL_PARAMS_HH
+
+#include <dumux/material/spatialparams/implicit1p.hh>
+
+namespace Dumux
+{
+
+/*!
+ * \ingroup TracerModel
+ * \ingroup ImplicitTestProblems
+ *
+ * \brief Definition of the spatial parameters for the tracer problem
+ */
+template<class TypeTag>
+class TracerTestSpatialParams : public ImplicitSpatialParamsOneP<TypeTag>
+{
+ using ParentType = ImplicitSpatialParamsOneP<TypeTag>;
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using Problem = typename GET_PROP_TYPE(TypeTag, Problem);
+ using GridView = typename GET_PROP_TYPE(TypeTag, GridView);
+ using Element = typename GridView::template Codim<0>::Entity;
+ using SubControlVolume = typename GET_PROP_TYPE(TypeTag, SubControlVolume);
+ using SubControlVolumeFace = typename GET_PROP_TYPE(TypeTag, SubControlVolumeFace);
+ using ElementSolutionVector = typename GET_PROP_TYPE(TypeTag, ElementSolutionVector);
+
+ static const int dimWorld = GridView::dimensionworld;
+ using GlobalPosition = typename Dune::FieldVector<Scalar, dimWorld>;
+
+public:
+
+ TracerTestSpatialParams(const Problem& problem, const GridView &gridView)
+ : ParentType(problem, gridView) {}
+
+ /*!
+ * \brief Define the porosity \f$\mathrm{[-]}\f$.
+ *
+ * \param globalPos The global position
+ */
+ Scalar porosityAtPos(const GlobalPosition& globalPos) const
+ { return 0.2; }
+
+ /*!
+ * \brief Define the dispersivity.
+ *
+ * \param element The finite element
+ * \param scv The sub-control volume
+ * \param elemSol The solution for all dofs of the element
+ */
+ Scalar dispersivity(const Element &element,
+ const SubControlVolume& scv,
+ const ElementSolutionVector& elemSol) const
+ { return 0; }
+
+ //! Fluid properties that are spatial params in the tracer model
+ //! They can possible vary with space but are usually constants
+
+ //! fluid density
+ Scalar fluidDensity(const Element &element,
+ const SubControlVolume& scv) const
+ { return 1000; }
+
+ //! fluid molar mass
+ Scalar fluidMolarMass(const Element &element,
+ const SubControlVolume& scv) const
+ { return 18.0; }
+
+ //! velocity field
+ GlobalPosition velocity(const Element &element,
+ const SubControlVolumeFace& scvf) const
+ {
+ GlobalPosition vel(1e-5);
+ const auto globalPos = scvf.center();
+ const auto& x = globalPos[0];
+ const auto& y = globalPos[1];
+
+ vel[0] *= x*x * (1.0 - x)*(1.0 - x) * (2.0*y - 6.0*y*y + 4.0*y*y*y);
+ vel[1] *= -1.0*y*y * (1.0 - y)*(1.0 - y) * (2.0*x - 6.0*x*x + 4.0*x*x*x);
+
+ return vel;
+ }
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/test/references/boxtracer-reference.vtu b/test/references/boxtracer-reference.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..fe468d2ff6ef3f408ba81291d2c3d1af7fcc1c40
--- /dev/null
+++ b/test/references/boxtracer-reference.vtu
@@ -0,0 +1,3447 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="0.1" byte_order="LittleEndian">
+ <UnstructuredGrid>
+ <Piece NumberOfCells="2500" NumberOfPoints="2601">
+ <PointData Scalars="x_tracer_0" Vectors="velocity_Groundwater (m/s)">
+ <DataArray type="Float32" Name="x_tracer_0" NumberOfComponents="1" format="ascii">
+ 1.36486e-18 1.4369e-17 8.51038e-18 1.50772e-16 1.45446e-16 3.00315e-15 8.22027e-16 2.15692e-14 2.79026e-15 7.33043e-14 6.67034e-15 1.67186e-13
+ 1.26308e-14 3.01102e-13 2.0357e-14 4.64973e-13 2.91857e-14 6.44782e-13 3.82834e-14 8.2575e-13 4.68066e-14 9.94392e-13 5.40198e-14 1.13964e-12
+ 5.93684e-14 1.25333e-12 6.25124e-14 1.33027e-12 6.33306e-14 1.36809e-12 6.19017e-14 1.3669e-12 5.84716e-14 1.32899e-12 5.34113e-14 1.25838e-12
+ 4.71718e-14 1.16042e-12 4.0238e-14 1.04141e-12 3.30861e-14 9.08212e-13 2.61467e-14 7.6782e-13 1.97748e-14 6.27023e-13 1.42302e-14 4.92046e-13
+ 9.67282e-15 3.68242e-13 6.26072e-15 2.62132e-13 4.17043e-15 1.85568e-13 2.85474e-15 1.31664e-13 1.983e-15 9.35229e-14 1.38717e-15 6.64223e-14
+ 9.72553e-16 4.71038e-14 6.81153e-16 3.33019e-14 4.75315e-16 2.34303e-14 3.29656e-16 1.6371e-14 2.26656e-16 1.13315e-14 1.54042e-16 7.74695e-15
+ 1.03131e-16 5.21258e-15 6.77367e-17 3.43682e-15 4.34256e-17 2.20853e-15 2.70049e-17 1.37398e-15 1.61635e-17 8.20605e-16 9.22129e-18 4.65484e-16
+ 4.95296e-18 2.47341e-16 2.46582e-18 1.20916e-16 1.11534e-18 5.31031e-17 4.46752e-19 2.02924e-17 1.53324e-19 6.46131e-18 4.32063e-20 1.61563e-18
+ 9.46179e-21 2.92453e-19 1.51021e-21 3.44522e-20 3.16013e-22 4.64308e-21 6.95148e-17 1.68007e-15 4.60065e-14 2.8758e-13 8.47955e-13 1.73373e-12
+ 2.87362e-12 4.16511e-12 5.50426e-12 6.8004e-12 7.98152e-12 8.99469e-12 9.80437e-12 1.03898e-11 1.07428e-11 1.08648e-11 1.07659e-11 1.04625e-11
+ 9.97639e-12 9.33357e-12 8.56328e-12 7.69707e-12 6.76786e-12 5.80897e-12 4.85311e-12 3.94593e-12 3.18342e-12 2.55506e-12 2.03788e-12 1.6132e-12
+ 1.26571e-12 9.82756e-13 7.53795e-13 5.69993e-13 4.23889e-13 3.09147e-13 2.20353e-13 1.52862e-13 1.02675e-13 6.63437e-14 4.08994e-14 2.37996e-14
+ 1.28893e-14 6.37449e-15 2.80462e-15 1.05814e-15 3.24646e-16 7.48812e-17 1.15382e-17 1.00066e-18 8.13778e-20 4.17323e-16 1.21073e-14 3.47095e-13
+ 1.78781e-12 4.58606e-12 8.4759e-12 1.30178e-11 1.77886e-11 2.24495e-11 2.67563e-11 3.05465e-11 3.37215e-11 3.62294e-11 3.80524e-11 3.91958e-11
+ 3.96819e-11 3.95447e-11 3.8827e-11 3.75791e-11 3.58569e-11 3.3722e-11 3.12412e-11 2.84857e-11 2.55309e-11 2.24557e-11 1.93796e-11 1.6581e-11
+ 1.40805e-11 1.18567e-11 9.88998e-12 8.1622e-12 6.65609e-12 5.35502e-12 4.24277e-12 3.30339e-12 2.52107e-12 1.88013e-12 1.36499e-12 9.60224e-13
+ 6.50656e-13 4.21482e-13 2.58443e-13 1.48046e-13 7.78171e-14 3.65993e-14 1.4851e-14 4.92115e-15 1.22078e-15 1.95751e-16 1.55342e-17 7.78396e-19
+ 1.96563e-15 6.40224e-14 1.63627e-12 6.96408e-12 1.57355e-11 2.65407e-11 3.80241e-11 4.92037e-11 5.94641e-11 6.84658e-11 7.60541e-11 8.21889e-11
+ 8.68959e-11 9.02362e-11 9.22867e-11 9.31302e-11 9.28496e-11 9.15265e-11 8.92413e-11 8.60745e-11 8.21092e-11 7.74328e-11 7.21397e-11 6.63327e-11
+ 6.01245e-11 5.36988e-11 4.75158e-11 4.16706e-11 3.61895e-11 3.10952e-11 2.6406e-11 2.21351e-11 1.829e-11 1.48722e-11 1.18771e-11 9.29367e-12
+ 7.10498e-12 5.28822e-12 3.8153e-12 2.65357e-12 1.76664e-12 1.11553e-12 6.59926e-13 3.59666e-13 1.76373e-13 7.51861e-14 2.64381e-14 7.04599e-15
+ 1.22725e-15 1.04251e-16 4.41834e-18 7.60741e-15 2.67839e-13 5.56835e-12 1.98298e-11 3.98963e-11 6.18648e-11 8.3097e-11 1.02187e-10 1.18552e-10
+ 1.32081e-10 1.42902e-10 1.51243e-10 1.57356e-10 1.61479e-10 1.6382e-10 1.64551e-10 1.63813e-10 1.61718e-10 1.58357e-10 1.53807e-10 1.48138e-10
+ 1.41422e-10 1.33735e-10 1.25165e-10 1.15817e-10 1.05882e-10 9.58777e-11 8.5983e-11 7.6308e-11 6.69587e-11 5.80342e-11 4.96241e-11 4.18064e-11
+ 3.46448e-11 2.81874e-11 2.24649e-11 1.74901e-11 1.32572e-11 9.74239e-12 6.90475e-12 4.6878e-12 3.02212e-12 1.82847e-12 1.02175e-12 5.15573e-13
+ 2.27314e-13 8.32689e-14 2.33513e-14 4.33517e-15 3.96047e-16 1.63187e-17 2.50094e-14 9.28897e-13 1.49623e-11 4.51425e-11 8.15455e-11 1.16888e-10
+ 1.47768e-10 1.73179e-10 1.9329e-10 2.08736e-10 2.20259e-10 2.28548e-10 2.34183e-10 2.37618e-10 2.39196e-10 2.39159e-10 2.37672e-10 2.34839e-10
+ 2.30719e-10 2.2534e-10 2.18715e-10 2.10849e-10 2.01754e-10 1.91456e-10 1.80005e-10 1.67527e-10 1.54442e-10 1.40976e-10 1.27316e-10 1.13658e-10
+ 1.00196e-10 8.71229e-11 7.46198e-11 6.2853e-11 5.19675e-11 4.20823e-11 3.32853e-11 2.56307e-11 1.91358e-11 1.37811e-11 9.51108e-12 6.23707e-12
+ 3.84248e-12 2.18976e-12 1.12946e-12 5.10733e-13 1.9283e-13 5.61334e-14 1.09266e-14 1.05821e-15 4.41305e-17 7.16618e-14 2.75777e-12 3.36436e-11
+ 8.6893e-11 1.41813e-10 1.88695e-10 2.252e-10 2.52144e-10 2.71306e-10 2.84503e-10 2.93269e-10 2.98792e-10 3.01936e-10 3.03304e-10 3.03293e-10
+ 3.02141e-10 2.99968e-10 2.9681e-10 2.92641e-10 2.87391e-10 2.80973e-10 2.73288e-10 2.64245e-10 2.53772e-10 2.41825e-10 2.28422e-10 2.13786e-10
+ 1.98129e-10 1.81675e-10 1.64671e-10 1.47389e-10 1.30111e-10 1.13128e-10 9.67223e-11 8.11647e-11 6.66984e-11 5.35306e-11 4.1822e-11 3.16789e-11
+ 2.31476e-11 1.62113e-11 1.07913e-11 6.75249e-12 3.91212e-12 2.05437e-12 9.47881e-13 3.66374e-13 1.09726e-13 2.21329e-14 2.24116e-15 9.5415e-17
+ 1.82802e-13 7.17905e-12 6.582e-11 1.46724e-10 2.17389e-10 2.694e-10 3.04331e-10 3.26266e-10 3.39138e-10 3.4602e-10 3.49112e-10 3.49905e-10
+ 3.49364e-10 3.48077e-10 3.46365e-10 3.4436e-10 3.42065e-10 3.39387e-10 3.3617e-10 3.32217e-10 3.27309e-10 3.21221e-10 3.13738e-10 3.04669e-10
+ 2.93864e-10 2.81217e-10 2.6674e-10 2.5058e-10 2.32941e-10 2.14077e-10 1.94287e-10 1.73912e-10 1.53325e-10 1.32917e-10 1.13083e-10 9.42071e-11
+ 7.66409e-11 6.06888e-11 4.65887e-11 3.44985e-11 2.44852e-11 1.65199e-11 1.04801e-11 6.15901e-12 3.28365e-12 1.54036e-12 6.06644e-13 1.85739e-13
+ 3.84899e-14 4.02895e-15 1.7485e-16 4.22872e-13 1.66951e-11 1.15082e-10 2.22852e-10 3.00903e-10 3.48291e-10 3.73319e-10 3.84087e-10 3.86529e-10
+ 3.84562e-10 3.80622e-10 3.76156e-10 3.71964e-10 3.68432e-10 3.65681e-10 3.63656e-10 3.62187e-10 3.61025e-10 3.59865e-10 3.58367e-10 3.56172e-10
+ 3.5292e-10 3.48263e-10 3.41891e-10 3.33537e-10 3.22989e-10 3.10092e-10 2.94904e-10 2.77567e-10 2.58299e-10 2.37388e-10 2.15191e-10 1.92129e-10
+ 1.68669e-10 1.45316e-10 1.22583e-10 1.00973e-10 8.09484e-11 6.29063e-11 4.7151e-11 3.38724e-11 2.31316e-11 1.48546e-11 8.8393e-12 4.77405e-12
+ 2.27061e-12 9.07888e-13 2.82809e-13 5.98074e-14 6.41156e-15 2.82269e-16 9.03158e-13 3.51893e-11 1.83224e-10 3.09831e-10 3.82503e-10 4.14617e-10
+ 4.22688e-10 4.18328e-10 4.0857e-10 3.97377e-10 3.86852e-10 3.78014e-10 3.71264e-10 3.66652e-10 3.64024e-10 3.63107e-10 3.63551e-10 3.64951e-10
+ 3.66862e-10 3.68809e-10 3.70295e-10 3.70823e-10 3.69914e-10 3.67129e-10 3.62093e-10 3.54498e-10 3.44104e-10 3.30875e-10 3.14881e-10 2.96279e-10
+ 2.75323e-10 2.52362e-10 2.27831e-10 2.02248e-10 1.76192e-10 1.50288e-10 1.25171e-10 1.0146e-10 7.97146e-11 6.04033e-11 4.38644e-11 3.02793e-11
+ 1.96551e-11 1.18233e-11 6.45673e-12 3.1064e-12 1.25735e-12 3.96934e-13 8.52015e-14 9.28129e-15 4.12074e-16 1.81848e-12 6.79677e-11 2.69159e-10
+ 3.9923e-10 4.52013e-10 4.60041e-10 4.47195e-10 4.26831e-10 4.05674e-10 3.86831e-10 3.7155e-10 3.60154e-10 3.52516e-10 3.48302e-10 3.47085e-10
+ 3.48394e-10 3.51733e-10 3.56577e-10 3.62368e-10 3.68513e-10 3.7439e-10 3.79361e-10 3.82805e-10 3.84146e-10 3.82892e-10 3.78655e-10 3.71182e-10
+ 3.60365e-10 3.46204e-10 3.28808e-10 3.08396e-10 2.85301e-10 2.59965e-10 2.32931e-10 2.04832e-10 1.76371e-10 1.48294e-10 1.21351e-10 9.62538e-11
+ 7.36317e-11 5.39789e-11 3.76133e-11 2.46452e-11 1.4964e-11 8.24863e-12 4.00627e-12 1.63741e-12 5.22143e-13 1.13237e-13 1.24488e-14 5.53984e-16
+ 3.55308e-12 1.21261e-10 3.68205e-10 4.81037e-10 5.01022e-10 4.80106e-10 4.46224e-10 4.11919e-10 3.82149e-10 3.58455e-10 3.40926e-10 3.2909e-10
+ 3.22295e-10 3.19871e-10 3.21178e-10 3.2561e-10 3.32586e-10 3.41513e-10 3.51762e-10 3.62648e-10 3.73426e-10 3.83307e-10 3.91503e-10 3.97276e-10
+ 3.99991e-10 3.99184e-10 3.94648e-10 3.8623e-10 3.73888e-10 3.57712e-10 3.37913e-10 3.1483e-10 2.88918e-10 2.60744e-10 2.3098e-10 2.00386e-10
+ 1.69784e-10 1.40028e-10 1.11954e-10 8.63306e-11 6.3799e-11 4.4814e-11 2.95979e-11 1.81131e-11 1.00623e-11 4.9246e-12 2.02784e-12 6.5129e-13
+ 1.42129e-13 1.56716e-14 6.94743e-16 7.01791e-12 2.0089e-10 4.72041e-10 5.45512e-10 5.24412e-10 4.74576e-10 4.2301e-10 3.78874e-10 3.44302e-10
+ 3.18929e-10 3.01656e-10 2.91297e-10 2.86785e-10 2.87217e-10 2.91834e-10 2.99984e-10 3.11068e-10 3.24492e-10 3.39599e-10 3.55635e-10 3.71728e-10
+ 3.86912e-10 4.00185e-10 4.10596e-10 4.17327e-10 4.19816e-10 4.17949e-10 4.11559e-10 4.00606e-10 3.85204e-10 3.65613e-10 3.4222e-10 3.15528e-10
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diff --git a/test/references/ccmpfatracer-reference.vtu b/test/references/ccmpfatracer-reference.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..8ce0609ea7945cdda00820bb4691cd0f380d49b1
--- /dev/null
+++ b/test/references/ccmpfatracer-reference.vtu
@@ -0,0 +1,2768 @@
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diff --git a/test/references/cctracer-reference.vtu b/test/references/cctracer-reference.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..675c759493cde745cf5d1480d8ad2973c91c4975
--- /dev/null
+++ b/test/references/cctracer-reference.vtu
@@ -0,0 +1,3395 @@
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+ </UnstructuredGrid>
+</VTKFile>