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fix the handbook

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Andreas Lauser 2009-06-10 15:16:54 +00:00 committed by Andreas Lauser
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doc/handbook/tutorial-coupled.tex
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@ -36,11 +36,11 @@ The equations that are solved here are the mass balances of oil and water: \begi
\frac {\partial (\phi \, S_{o}\, \rho_{o})}{\partial t} + \nabla \cdot ( \rho_{o} \, \frac{\mathbf{K} \, kr_o}{\mu_{o}} (\nabla p - \rho_{o}\textbf{g})) - q = 0 \end{equation}
Listing \ref{tutorial-coupled:mainfile} shows the main file \texttt{tutorial\_coupled.cc} for the coupled twophase model. This file needs to be executed to solve the problem described above. The main file can be found in the directory \texttt{/dune-mux/test/tutorial}.
Listing \ref{tutorial-coupled:mainfile} shows the main file \texttt{tutorial\_coupled.cc} for the coupled twophase model. This file needs to be executed to solve the problem described above. The main file can be found in the directory \texttt{/dune-mux/tutorial}.
\begin{lst}[File dune-mux/test/tutorial/tutorial\_coupled.cc]\label{tutorial-coupled:mainfile} \mbox{}
\begin{lst}[File dune-mux/tutorial/tutorial\_coupled.cc]\label{tutorial-coupled:mainfile} \mbox{}
\lstinputlisting[basicstyle=\ttfamily\scriptsize,numbers=left,
numberstyle=\tiny, numbersep=5pt]{../../test/tutorial/tutorial_coupled.cc}
numberstyle=\tiny, numbersep=5pt]{../../tutorial/tutorial_coupled.cc}
\end{lst}
From line \ref{tutorial-coupled:include-begin} to line \ref{tutorial-coupled:include-end} the Dune and the \Dumux files which contain the functions and classes that are needed in the main function are included into the main file.
@ -48,9 +48,9 @@ From line \ref{tutorial-coupled:include-begin} to line \ref{tutorial-coupled:inc
The geometry of the problem and the grid on which the problem is to be solved are defined in the lines \ref{tutorial-coupled:grid-begin} to \ref{tutorial-coupled:grid-end}. The three variables of Type \texttt{Dune::FieldVector} define the lower left corner of the domain (\texttt{L}), the upper right corner of the domain (\texttt{H}) and the number of cells in $x$ and $y$ direction (\texttt{N}). The dimension \texttt{dim} is previously defined in line \ref{tutorial-coupled:dim}. The grid of type \texttt{Dune::SGrid} is then generated in line \ref{tutorial-coupled:grid-end}. For more information about the dune grid interface, the different grid types that are supported and the generation of different grids it is referred to the \textit{Dune Grid Interface HOWTO} \cite{DUNE-HP}.
The second step needed to solve the problem is the definition of material properties and constitutive relationships. The fluid properties of the two fluid phases considered here are defined in the lines \ref{tutorial-coupled:water} and \ref{tutorial-coupled:oil}. \Dumux provides several fluid classes which can be found in the file \texttt{phaseproperties2p.hh} in the directory \texttt{/dune-mux/dumux}-\texttt{/material/phaseproperties}. \\
The properties of the solid matrix are defined in a special soil class. The \texttt{soil} object is generated in line \ref{tutorial-coupled:soil}. As can be seen, the class type is \texttt{Dune::TutorialSoil}, which is defined in the file \texttt{tutorial\_soilproperties\_coupled.hh} in the folder \texttt{/test/tutorial}. A description of this file and the definition of a soil class including the soil parameters can be found in section \ref{tutorial-coupled:description-soil-class}. Finally, in line \ref{tutorial-coupled:twophaserelations} the information included in the fluid and soil objects is used to generate an object of type \texttt{Dune::TwoPhaseRelations}, which includes the constitutive relationships (capillary pressure-saturation relation, relative permeability-saturation relation, etc.). The file \texttt{twophaserelations.hh} can be found in the directory \texttt{/dune-mux/dumux/material}.
The properties of the solid matrix are defined in a special soil class. The \texttt{soil} object is generated in line \ref{tutorial-coupled:soil}. As can be seen, the class type is \texttt{Dune::TutorialSoil}, which is defined in the file \texttt{tutorialsoil\_coupled.hh} in the folder \texttt{/tutorial}. A description of this file and the definition of a soil class including the soil parameters can be found in section \ref{tutorial-coupled:description-soil-class}. Finally, in line \ref{tutorial-coupled:twophaserelations} the information included in the fluid and soil objects is used to generate an object of type \texttt{Dune::TwoPhaseRelations}, which includes the constitutive relationships (capillary pressure-saturation relation, relative permeability-saturation relation, etc.). The file \texttt{twophaserelations.hh} can be found in the directory \texttt{/dune-mux/dumux/material}.
The definition of boundary and initial conditions as well as source or sink terms is done by definition of a so-called \textit{problem} class. In case of this tutorial the problem class is defined in the file \texttt{tutorialproblem\_coupled.hh} in the \texttt{/test/tutorial} folder. In the main file the problem object of type \texttt{Dune::TutorialProblemCoupled} is then generated in line \ref{tutorial-coupled:problem}. A further explanation of the definition of boundary and initial conditions, source and sink terms and the structure of the problem class can be found in section \ref{tutorial-coupled:description-bc-ic}. Besides the definition of the boundary and initial conditions the problem class is also a kind of interface containing all the objects generated before (geometry, fluids, soil, constitutive relationships, etc.). Thus, as can be seen in line \ref{tutorial-coupled:problem} all this objects are given as arguments when calling the constructor of the problem class.
The definition of boundary and initial conditions as well as source or sink terms is done by definition of a so-called \textit{problem} class. In case of this tutorial the problem class is defined in the file \texttt{tutorialproblem\_coupled.hh} in the \texttt{/tutorial} folder. In the main file the problem object of type \texttt{Dune::TutorialProblemCoupled} is then generated in line \ref{tutorial-coupled:problem}. A further explanation of the definition of boundary and initial conditions, source and sink terms and the structure of the problem class can be found in section \ref{tutorial-coupled:description-bc-ic}. Besides the definition of the boundary and initial conditions the problem class is also a kind of interface containing all the objects generated before (geometry, fluids, soil, constitutive relationships, etc.). Thus, as can be seen in line \ref{tutorial-coupled:problem} all this objects are given as arguments when calling the constructor of the problem class.
Finally, a numerical model has to be chosen that defines how the coupled system of equations is discretized. In case of this tutorial a coupled isothermal two phase model is the choice. A coupled model may consist of two or more mass balance equations and if required an energy balance equation. For the given example problem of a pure isothermal two phase flow. A coupled system of two equations is solved.
%The two equations are given below:
@ -75,13 +75,13 @@ Soil properties which can be defined in \Dumux are the \textit{intrinsic permeab
The base class \texttt{Dune::Matrix2p} for the definition of the soil parameters can be found in the file \texttt{property\_baseclasses.hh} in the directory \texttt{/dune-mux/dumux/material}. Derived from this base class, there exist two standard soil type classes named \texttt{HomogeneousSoil} and \texttt{HeterogeneousSoil}. Both can be found in the file \texttt{matrixproperties.hh} in the \texttt{/material} folder. If one wants to use a soil that differs from this standard soil types, new soil classes can be derived either from the base class (\texttt{Dune::Matrix2p}) or from the two standard soil classes (\texttt{Dune::HomogeneousSoil} and \texttt{Dune::HeterogeneousSoil}).
For this tutorial problem a new soil class named \texttt{TutorialSoil} is derived from \texttt{Dune::HomogeneousSoil} (listing \ref{tutorial-coupled:soilpropertiesfile}, line \ref{tutorial-coupled:tutorialsoil}), which can be found in the file \texttt{tutorial\_soilproperties\_coupled.hh} in the directory \texttt{/test/tutorial}.
For this tutorial problem a new soil class named \texttt{TutorialSoil} is derived from \texttt{Dune::HomogeneousSoil} (listing \ref{tutorial-coupled:soilpropertiesfile}, line \ref{tutorial-coupled:tutorialsoil}), which can be found in the file \texttt{tutorialsoil\_coupled.hh} in the directory \texttt{/tutorial}.
Listing \ref{tutorial-coupled:soilpropertiesfile} shows the file \texttt{tutorial\_soilproperties\_coupled.hh}.
Listing \ref{tutorial-coupled:soilpropertiesfile} shows the file \texttt{tutorialsoil\_coupled.hh}.
\begin{lst}[File dune-mux/test/tutorial/tutorial\_soilproperties\_coupled.hh]\label{tutorial-coupled:soilpropertiesfile} \mbox{}
\begin{lst}[File dune-mux/tutorial/tutorialsoil\_coupled.hh]\label{tutorial-coupled:soilpropertiesfile} \mbox{}
\lstinputlisting[basicstyle=\ttfamily\scriptsize,numbers=left,
numberstyle=\tiny, numbersep=5pt]{../../test/tutorial/tutorial_soilproperties_coupled.hh}
numberstyle=\tiny, numbersep=5pt]{../../tutorial/tutorialsoil_coupled.hh}
\end{lst}
In line \ref{tutorial-coupled:permeability} the function returning the intrinsic permeability can be found. As can be seen, the function has to be called with three different arguments. The first one (\texttt{x}) is a vector including the global coordinates of the current entity (can be an element, vertex, etc.), the second one (\texttt{e}) is the entity itself and the third one is a vector including the local coordinates of the current entity. The intrinsic permeability is a tensor and thus returned in form of a $n \times n$-matrix where $n$ is the dimension of the problem.
@ -94,11 +94,11 @@ Finally, the functions defining the type of the capillary pressure function and
\subsection{The definition of boundary and initial conditions and source or sink terms}\label{tutorial-coupled:description-bc-ic}
Boundary and initial conditions are defined in a so-called problem class. The problem class of this tutorial has the name \texttt{TutorialProblemCoupled} and is defined in the file \texttt{tutorialproblem\_coupled.hh} which can be found in the directory \texttt{/test/tutorial}. Listing \ref{tutorial-coupled:problemfile} shows the class \texttt{TutorialProblemCoupled}. As can be seen it is derived from the problem base class \texttt{TwoPhaseProblem} (line \ref{tutorial-coupled:tutorialproblem}) which is defined in the file \texttt{twophaseproblem.hh} in the directory \texttt{/dune-mux/dumux/twophase}.
Boundary and initial conditions are defined in a so-called problem class. The problem class of this tutorial has the name \texttt{TutorialProblemCoupled} and is defined in the file \texttt{tutorialproblem\_coupled.hh} which can be found in the directory \texttt{/tutorial}. Listing \ref{tutorial-coupled:problemfile} shows the class \texttt{TutorialProblemCoupled}. As can be seen it is derived from the problem base class \texttt{TwoPhaseProblem} (line \ref{tutorial-coupled:tutorialproblem}) which is defined in the file \texttt{twophaseproblem.hh} in the directory \texttt{/dune-mux/dumux/twophase}.
\begin{lst}[File dune-mux/test/tutorial/tutorialproblem\_coupled.hh]\label{tutorial-coupled:problemfile} \mbox{}
\begin{lst}[File dune-mux/tutorial/tutorialproblem\_coupled.hh]\label{tutorial-coupled:problemfile} \mbox{}
\lstinputlisting[basicstyle=\ttfamily\scriptsize,numbers=left,
numberstyle=\tiny, numbersep=5pt]{../../test/tutorial/tutorialproblem_coupled.hh}
numberstyle=\tiny, numbersep=5pt]{../../tutorial/tutorialproblem_coupled.hh}
\end{lst}
Listing \ref{tutorial-coupled:tutorialproblem}) includes five types of functions. The type of each function can be identified by certain letters or names. The function that returns
@ -148,7 +148,7 @@ Now you can change the fluids. Use DNAPL instead of Oil and Brine instead of Wat
\texttt{/dune-mux/dumux/material/phaseproperties}.
\item \textbf{Changing Constitutive Relationships} \\
Use a Brooks-Corey law with $\lambda$ = 2 and entry pressure $p_b = 0.0$ instead of a linear law for the relative-permeability/saturation relationship. To do that you have to change the file \texttt{tutorial\_soilproperties\_coupled.hh}. You can find the flag that you have to set for the Brooks-Corey law in the file \texttt{property\_baseclasses.hh} in the directory \texttt{/dune-mux/dumux/material}.
Use a Brooks-Corey law with $\lambda$ = 2 and entry pressure $p_b = 0.0$ instead of a linear law for the relative-permeability/saturation relationship. To do that you have to change the file \texttt{tutorialsoil\_coupled.hh}. You can find the flag that you have to set for the Brooks-Corey law in the file \texttt{property\_baseclasses.hh} in the directory \texttt{/dune-mux/dumux/material}.
The available relative permeability and capillary pressure functions are defined in the file \texttt{/dune-mux/dumux/material/relperm\_pc\_law}.
\item \textbf{Heterogeneities} \\
@ -169,8 +169,8 @@ Set up a model domain with the soil properties given in Figure \ref{tutorial-cou
\end{enumerate}
\subsubsection{Exercise 2}
For this exercise you should create a new proplem file according to the file \texttt{tutorialproblem\_coupled.hh} and a new soil property file according to the file \texttt{tutorial\_soilproperties\_coupled.hh}. These files need to be included in the file \texttt{tutorial\_coupled.cc}.\\
The new soil file should contain the definition of a new soil class e.g. SoilEx2. Make sure that you also adjust the preprocessor commands (e.g. change TUTORIAL\_SOILPROPERTIES to TUTORIAL\_SOILEX2).
For this exercise you should create a new proplem file according to the file \texttt{tutorialproblem\_coupled.hh} and a new soil property file according to the file \texttt{tutorialsoil\_coupled.hh}. These files need to be included in the file \texttt{tutorial\_coupled.cc}.\\
The new soil file should contain the definition of a new soil class e.g. SoilEx2. Make sure that you also adjust the preprocessor commands (e.g. change TUTORIAL\_SOIL to TUTORIAL\_SOILEX2).
The new problem file should contain the definition of a new problem class e.g. ProblemEx2. Here you also need to adjust the preprocessor commands.
Replace the classes \texttt{TutorialSoil} and \texttt{TutorialProblemCoupled} by the the new classes you just created. \\
Now, set up a model that describes the processes given in the Figures \ref{tutorial-coupled:ex2_Domain} and \ref{tutorial-coupled:ex2_BC}. Initially the domain is fully

24
doc/handbook/tutorial-decoupled.tex
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@ -28,20 +28,20 @@ The problem which is solved in this tutorial is illustrated in figure \ref{tutor
\caption{Geometry of the tutorial problem with initial and boundary conditions.}\label{tutorial-decoupled:problemfigure}
\end{figure}
Listing \ref{tutorial-deoucpled:mainfile} shows how the main file, which has to be executed, has to be set up, if the problem described above is to be solved using a decoupled model. This main file can be found in the directory \texttt{/dune-mux/test/tutorial}.
Listing \ref{tutorial-deoucpled:mainfile} shows how the main file, which has to be executed, has to be set up, if the problem described above is to be solved using a decoupled model. This main file can be found in the directory \texttt{/dune-mux/tutorial}.
\begin{lst}[File dune-mux/test/tutorial/tutorial\_decoupled.cc]\label{tutorial-deoucpled:mainfile} \mbox{}
\begin{lst}[File dune-mux/tutorial/tutorial\_decoupled.cc]\label{tutorial-deoucpled:mainfile} \mbox{}
\lstinputlisting[basicstyle=\ttfamily\scriptsize,numbers=left,
numberstyle=\tiny, numbersep=5pt]{../../test/tutorial/tutorial_decoupled.cc}
numberstyle=\tiny, numbersep=5pt]{../../tutorial/tutorial_decoupled.cc}
\end{lst}
First, in line \ref{tutorial-decoupled:include-begin} to \ref{tutorial-decoupled:include-end} the Dune and the \Dumux files respectively which contain the functions and classes that are needed in the main loop are included into the main file.
In line \ref{tutorial-decoupled:grid-begin} to \ref{tutorial-decoupled:grid-end} the geometry is defined and the grid is generated. The three variables of Type \texttt{Dune::FieldVector} define the lower left corner of the domain (\texttt{L}), the upper right corner of the domain (\texttt{H}) and the number of cells in $x$ and $y$ direction (\texttt{N}), where the dimensions are previously defined in line \ref{tutorial-decoupled:dim}. The grid of type \texttt{Dune::SGrid} is then generated in line \ref{tutorial-decoupled:grid-end}. For more information about the dune grid interface, the different grid types that are supported and the generation of different grids it is referred to the \textit{Dune Grid Interface HOWTO} \cite{DUNE-HP}.
The second point mentioned at the beginning of this section was the definition of material properties and constitutive relationships. The fluid properties of the two fluid phases considered here are defined in lines \ref{tutorial-decoupled:water} and \ref{tutorial-decoupled:oil}. The fluid classes including different kinds of fluids (here: \texttt{Dune::Water} and \texttt{Dune::Oil}) can be found in the file \texttt{phaseproperties2p.hh} in the directory \texttt{/dune-mux/dumux}-\texttt{/material/phaseproperties}. The properties of the solid matrix are defined in a special soil class. The \texttt{soil} object is generated in line \ref{tutorial-decoupled:soil}. As can be seen, the class type is \texttt{Dune::TutorialSoil}, which is defined in the file \texttt{tutorial\_soilproperties\_decoupled.hh} in the folder \texttt{/test/tutorial}. A description of this file and the definition of a soil class including the soil parameters can be found in section \ref{tutorial-decoupled:description-soil-class}. Finally, in line \ref{tutorial-decoupled:twophaserelations} the information included in the fluid and soil objects is used to generate an object of type \texttt{Dune::TwoPhaseRelations}, which includes the constitutive relationships (capillary pressure-saturation relation, relative permeability-saturation relation, etc.). The file \texttt{twophaserelations.hh} can be found in the directory \texttt{/dune-mux/dumux/material}.
The second point mentioned at the beginning of this section was the definition of material properties and constitutive relationships. The fluid properties of the two fluid phases considered here are defined in lines \ref{tutorial-decoupled:water} and \ref{tutorial-decoupled:oil}. The fluid classes including different kinds of fluids (here: \texttt{Dune::Water} and \texttt{Dune::Oil}) can be found in the file \texttt{phaseproperties2p.hh} in the directory \texttt{/dune-mux/dumux}-\texttt{/material/phaseproperties}. The properties of the solid matrix are defined in a special soil class. The \texttt{soil} object is generated in line \ref{tutorial-decoupled:soil}. As can be seen, the class type is \texttt{Dune::TutorialSoil}, which is defined in the file \texttt{tutorial\_soilproperties\_decoupled.hh} in the folder \texttt{/tutorial}. A description of this file and the definition of a soil class including the soil parameters can be found in section \ref{tutorial-decoupled:description-soil-class}. Finally, in line \ref{tutorial-decoupled:twophaserelations} the information included in the fluid and soil objects is used to generate an object of type \texttt{Dune::TwoPhaseRelations}, which includes the constitutive relationships (capillary pressure-saturation relation, relative permeability-saturation relation, etc.). The file \texttt{twophaserelations.hh} can be found in the directory \texttt{/dune-mux/dumux/material}.
The definition of boundary and initial conditions as well as source of sink terms is done by definition of a so-called \textit{problem} class. In case of this tutorial the problem class is defined in the file \texttt{tutorialproblem\_decoupled.hh} in the \texttt{/test/tutorial} folder. In the main file the problem object of type \texttt{Dune::TutorialProblemDecoupled} is then generated in line \ref{tutorial-decoupled:problem}. A further explanation of the definition of boundary and initial conditions, source and sink terms and the structure of the problem class can be found in section \ref{tutorial-decoupled:description-bc-ic}. Besides the definition of the boundary and initial conditions the problem class is also a kind of interface containing all the objects generated before (geometry, fluids, soil, constitutive relationships, etc.). Thus, as can be seen in line \ref{tutorial-decoupled:problem} all this objects are given as arguments when calling the constructor of the problem class.
The definition of boundary and initial conditions as well as source of sink terms is done by definition of a so-called \textit{problem} class. In case of this tutorial the problem class is defined in the file \texttt{tutorialproblem\_decoupled.hh} in the \texttt{/tutorial} folder. In the main file the problem object of type \texttt{Dune::TutorialProblemDecoupled} is then generated in line \ref{tutorial-decoupled:problem}. A further explanation of the definition of boundary and initial conditions, source and sink terms and the structure of the problem class can be found in section \ref{tutorial-decoupled:description-bc-ic}. Besides the definition of the boundary and initial conditions the problem class is also a kind of interface containing all the objects generated before (geometry, fluids, soil, constitutive relationships, etc.). Thus, as can be seen in line \ref{tutorial-decoupled:problem} all this objects are given as arguments when calling the constructor of the problem class.
Following the steps listed at the beginning of this section, finally, a model has to be chosen. In case of this tutorial a decoupled isothermal two phase model is the choice. As explained before a decoupled model consists of a pressure equation which is decoupled or only weakly coupled to a saturation equation, concentration equations, energy balance equations, etc. In case of isothermal two phase flow one pressure equation and one saturation equation have to be solved.
@ -67,13 +67,13 @@ Soil properties which can be defined in \Dumux are the \textit{intrinsic permeab
The base class \texttt{Dune::Matrix2p} for the definition of the soil parameters can be found in the file \texttt{property\_baseclasses.hh} in the directory \texttt{/dune-mux/dumux/material}. Derived from this base class, there exist two standard soil type classes named \texttt{HomogeneousSoil} and \texttt{HeterogeneousSoil}. Both can be found in the file \texttt{matrixproperties.hh} in the \texttt{/material} folder. If one wants to use a soil that differs from this standard soil types, new soil classes can be derived either from the base class (\texttt{Dune::Matrix2p}) or from the two standard soil classes (\texttt{Dune::HomogeneousSoil} and \texttt{Dune::HeterogeneousSoil}).
For this tutorial problem a new soil class named \texttt{TutorialSoil} is derived from \texttt{Dune::HomogeneousSoil} (listing \ref{tutorial-deoucpled:soilpropertiesfile}, line \ref{tutorial-decoupled:tutorialsoil}), which can be found in the file \texttt{tutorial\_soilproperties\_decoupled.hh} in the directory \texttt{/test/tutorial}.
For this tutorial problem a new soil class named \texttt{TutorialSoil} is derived from \texttt{Dune::HomogeneousSoil} (listing \ref{tutorial-deoucpled:soilpropertiesfile}, line \ref{tutorial-decoupled:tutorialsoil}), which can be found in the file \texttt{tutorial\_soilproperties\_decoupled.hh} in the directory \texttt{/tutorial}.
Listing \ref{tutorial-deoucpled:soilpropertiesfile} shows the file \texttt{tutorial\_soilproperties\_decoupled.hh}.
\begin{lst}[File dune-mux/test/tutorial/tutorial\_soilproperties\_decoupled.hh]\label{tutorial-deoucpled:soilpropertiesfile} \mbox{}
\begin{lst}[File dune-mux/tutorial/tutorial\_soilproperties\_decoupled.hh]\label{tutorial-deoucpled:soilpropertiesfile} \mbox{}
\lstinputlisting[basicstyle=\ttfamily\scriptsize,numbers=left,
numberstyle=\tiny, numbersep=5pt]{../../test/tutorial/tutorial_soilproperties_decoupled.hh}
numberstyle=\tiny, numbersep=5pt]{../../tutorial/tutorial_soilproperties_decoupled.hh}
\end{lst}
In line \ref{tutorial-decoupled:permeability} the function returning the intrinsic permeability can be found. As can be seen, the function has to be called with three different arguments. The first one (\texttt{x}) is a vector including the global coordinates of the current entity (can be an element, vertex, etc.), the second one (\texttt{e}) is the entity itself and the third one is a vector including the local coordinates of the current entity. The intrinsic permeability is a tensor and thus returned in form of a $n \times n$-matrix where $n$ is the dimension of the problem.
@ -86,11 +86,11 @@ Finally, the functions defining the type of the capillary pressure function and
\subsection{The definition of boundary and initial conditions and source or sink terms}\label{tutorial-decoupled:description-bc-ic}
Boundary and initial conditions are defined in a so-called problem class. The problem class of this tutorial has the name \texttt{TutorialProblemDecoupled} and is defined in the file \texttt{tutorialproblem\_decoupled.hh} which can be found in the directory \texttt{/test/tutorial}. Listing \ref{tutorial-deoucpled:problemfile} shows the class \texttt{TutorialProblemDecoupled}. As can be seen it is derived from the problem base class \texttt{FractionalFlowProblem} (line \ref{tutorial-decoupled:tutorialproblem}) which is defined in the file \texttt{fractionalflowproblem.hh} in the directory \texttt{/dune-mux/dumux/fractionalflow}.
Boundary and initial conditions are defined in a so-called problem class. The problem class of this tutorial has the name \texttt{TutorialProblemDecoupled} and is defined in the file \texttt{tutorialproblem\_decoupled.hh} which can be found in the directory \texttt{/tutorial}. Listing \ref{tutorial-deoucpled:problemfile} shows the class \texttt{TutorialProblemDecoupled}. As can be seen it is derived from the problem base class \texttt{FractionalFlowProblem} (line \ref{tutorial-decoupled:tutorialproblem}) which is defined in the file \texttt{fractionalflowproblem.hh} in the directory \texttt{/dune-mux/dumux/fractionalflow}.
\begin{lst}[File dune-mux/test/tutorial/tutorialproblem\_decoupled.hh]\label{tutorial-deoucpled:problemfile} \mbox{}
\begin{lst}[File dune-mux/tutorial/tutorialproblem\_decoupled.hh]\label{tutorial-deoucpled:problemfile} \mbox{}
\lstinputlisting[basicstyle=\ttfamily\scriptsize,numbers=left,
numberstyle=\tiny, numbersep=5pt]{../../test/tutorial/tutorialproblem_decoupled.hh}
numberstyle=\tiny, numbersep=5pt]{../../tutorial/tutorialproblem_decoupled.hh}
\end{lst}
Listing \ref{tutorial-decoupled:tutorialproblem}) includes five types of functions. The type of each function can be identified by the first letter and the first part respectively of its name. Function names of functions returning
@ -196,4 +196,4 @@ Now, set up a model that describes the processes given in the Figures \ref{tutor
Create a file called \texttt{new\_fluid.hh} and implement a new fluid class. This new fluid class should be derived from the base class Fluid which can be found in \texttt{/dune-mux/dumux/material/property\_baseclasses.hh}. \\
(You can look at existing fluid classes in the file \texttt{/dune-mux/dumux/material/phaseproperties/phaseproperties2p.hh}.)
Use benzene as a new fluid and run the model of Exercise 2 with water and benzene. The properties of benzene are given in the following: \\
density: 889.51 kg/$\text{m}^3$, viscosity: 0.00112 Pa s.
density: 889.51 kg/$\text{m}^3$, viscosity: 0.00112 Pa s.