diff --git a/doc/handbook/ModelDescriptions/2pdecoupledmodel.tex b/doc/handbook/ModelDescriptions/2pdecoupledmodel.tex
index e69de29bb2d1d6434b8b29ae775ad8c2e48c5391..95e352d0be4c59faba4d704c8e541f8bd1fa0af2 100644
--- a/doc/handbook/ModelDescriptions/2pdecoupledmodel.tex
+++ b/doc/handbook/ModelDescriptions/2pdecoupledmodel.tex
@@ -0,0 +1,7 @@
+The model implements the decoupled equations of two-phase flow of two completely immiscible fluids. These equations can be derived from the two-phase flow equations shown for the two-phase box model (\doxyref{TwoPBoxModel}{p.}{classDune_1_1TwoPBoxModel}). The first equation to solve is a pressure equation of elliptic character. The second one is a saturation equation, which can be hyperbolic or parabolic.
+
+This model allows different combinations of primary variables, which can be $p_w$-$S_w$, $p_w$-$S_n$, $p_n$-$S_w$, $p_n$-$S_n$, or $p$-$S_w$ and $p$-$S_n$, where $p$ is no phase pressure but a global pressure.
+
+As the equations are only weakly coupled they do not have to be solved simultaneously but can be solved sequentially. First the pressure equation is solved implicitly, second the saturation equation can be solved explicitly. This solution procedure is called \doxyref{IMPES}{p.}{classDune_1_1IMPES} algorithm (IMplicit Pressure Explicit Saturation).
+
+In comparison to a fully coupled model, different discretization methods can be applied to the different equations. So far, the pressure equation is discretized using a cell centered finite volume scheme (optionally with multi point flux approximation), a mimetic finite difference scheme or a finite element scheme. The saturation equation is discretized using a cell centered finite volume scheme. Default time discretization scheme is an explicit Euler scheme.
\ No newline at end of file
diff --git a/doc/handbook/ModelDescriptions/decoupled2p2c.tex b/doc/handbook/ModelDescriptions/decoupled2p2c.tex
index e69de29bb2d1d6434b8b29ae775ad8c2e48c5391..cb69b2283609e2d005a8e239026cdc5847a3c607 100644
--- a/doc/handbook/ModelDescriptions/decoupled2p2c.tex
+++ b/doc/handbook/ModelDescriptions/decoupled2p2c.tex
@@ -0,0 +1,19 @@
+This module provides an Finite-Volume implementation for a compressible two-phase system with two components. An IMPES-like method is used for the sequential solution of the problem, where we first implicitly solve for a pressure field, and perform an explicit transport step afterwards. Isothermal conditions and local thermodynamic equilibrium are assumed, diffusion is neglected. Gravity and capillary pressure is regarded, wich is explicitly noted here because both effects increase the coupling of the pressure and transport step: Gravity forces depend on the fluid density (which is dependent on composition and pressure, a.o.t), whereas capillary pressure is dependent on the saturation (that is quantifyable after flash calculations that depend again on pressure and composition are performed).
+
+The pressure equation is given as
+\begin{equation}
+ c_{total}\frac{\partial p}{\partial t} + \sum_{\kappa} \frac{\partial v_{total}}{\partial C^{\kappa}} \nabla \cdot \left( \sum_{\alpha} X^{\kappa}_{\alpha} \varrho_{\alpha} \bf{v}_{\alpha}\right)
+ = \sum_{\kappa} \frac{\partial v_{total}}{\partial C^{\kappa}} q^{\kappa},
+\end{equation}
+where $\bf{v}_{\alpha} = - \lambda_{\alpha} \bf{K} \left(\nabla p_{\alpha} + \rho_{\alpha} \bf{g} \right) $ denotes the phase velocity.
+$ c_{total} $ represents the total compressibility, for constant porosity this yields $ - \frac{\partial V_{total}}{\partial p_{\alpha}}$,
+$p_{\alpha} $ denotes the phase pressure, $ \bf{K} $ the absolute permeability, $ \lambda_{\alpha} $ the phase mobility,
+$ \rho_{\alpha} $ the phase density and $ \bf{g}$ the gravity constant and $ C^{\kappa} $ the total Component concentration.
+See paper SPE 99619 or \cite{Chen2000} for derivation.
+
+The partial derivatives of the actual fluid volume $ v_{total} $ are gained numerically by performing an predicitive transport step and using the changes in mass in a secant method. In the sequential solution procedure, the secondary variables of the last time-step
+are used to gain the next pressure field and for the transport step, which leads to a trunctuation error. This error is dampened in the pressure step, for details see \cite{Fritz2010}.
+
+The transport step is described by
+\[ \frac{\partial C^\kappa}{\partial t} = - \nabla \cdot \sum{{\bf v_\alpha} \varrho_\alpha X_\alpha^\kappa} + q^\kappa \; . \]
+After the mass is transported, flash calculations determine the saturation an composition, and the secondary variables are updated to complete the time-step.
diff --git a/doc/handbook/dumux-handbook.bib b/doc/handbook/dumux-handbook.bib
index f8dd63fdf17bc9f7d25bef30e87eb60d8bc1cacf..b5042bad40cc0973439a8e83495b82b5ddfeaa60 100644
--- a/doc/handbook/dumux-handbook.bib
+++ b/doc/handbook/dumux-handbook.bib
@@ -1,4 +1,4 @@
-% This file was created with JabRef 2.3.1.
+% This file was created with JabRef 2.6.
% Encoding: UTF-8
@BOOK{DEBOOR1978,
@@ -269,6 +269,30 @@
publisher = {Springer}
}
+@ARTICLE{Chen2000,
+ author = {Z. Chen and Q. Guan and R.E. Ewing},
+ title = {Analysis of a compositional model for fluid flow in porous media},
+ journal = {SIAM Journal on Applied Mathematics},
+ year = {2000},
+ volume = {60},
+ pages = {747-777},
+ number = {3},
+ owner = {faigle},
+ review = {3phase model derivation finite element discretizattion Beschreibung
+ des sequenziellen numerischen L\"osungsschemas verwendete ELLAM methode
+
+
+ Trangenstein + pC
+
+
+ assumpt: no mass transfer between water and gas/oil (black oil)
+
+ rho_w = const
+
+ s(p, ...) und nicht s(p+pc, ...)},
+ timestamp = {2011.11.29}
+}
+
@BOOK{CLASS2007,
title = {Models for Non-Isothermal Compositional Gas-Liquid Flow and Transport
in Porous Media},
@@ -386,6 +410,16 @@
note = {CS-93-56}
}
+@PHDTHESIS{Fritz2010,
+ author = {Jochen Fritz},
+ title = {A Decoupled Model for Compositional Non-Isothermal Multiphase Flow
+ in Porous Media and Multiphysics Approaches for Two-Phase Flow},
+ school = {Universit\"at Stuttgart},
+ year = {2010},
+ owner = {rodrigog},
+ timestamp = {2011.02.07}
+}
+
@ARTICLE{A3:gimse:1992,
author = {Gimse, Tore and Risebro, Nils Henrik},
title = {Solution of the Cauchy Problem for a Conservation Law with a Discontinuous
@@ -737,7 +771,8 @@
@MISC{IAPWS1997,
author = {IAPWS (The International Association for the Properties of Water
and Steam)},
- title = {Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam},
+ title = {Revised Release on the IAPWS Industrial Formulation 1997 for the
+ Thermodynamic Properties of Water and Steam},
howpublished = {http://www.iapws.org/IF97-Rev.pdf},
year = {1997}
}
@@ -854,11 +889,6 @@
edition = {1}
}
-@MISC{APACHE-SUBVERSION-HP,
- title = {The Apache Subversion Website: \url{http://subversion.apache.org/}},
- key = {APACHE-SUBVERSION}
-}
-
@MISC{ALBERTA-HP,
title = {The {ALBERTA} Website: \url{http://www.alberta-fem.de/}},
key = {ALBERTA}
@@ -869,8 +899,18 @@
key = {ALU}
}
+@MISC{APACHE-SUBVERSION-HP,
+ title = {The Apache Subversion Website: \url{http://subversion.apache.org/}},
+ key = {APACHE-SUBVERSION}
+}
+
+@MISC{BOOST-HP,
+ title = {The {Boost} Homepage: \url{http://www.boost.org/}},
+ key = {BOOST}
+}
+
@MISC{DOXYGEN-HP,
- title ={Doxgen's Homepage: \url{http://www.stack.nl/~dimitri/doxygen/}},
+ title = {Doxgen's Homepage: \url{http://www.stack.nl/~dimitri/doxygen/}},
key = {DOXYGEN}
}
@@ -879,30 +919,11 @@
key = {DUMUX}
}
-@MISC{DUNE-HP,
- title = {The {DUNE} Project: \url{http://www.dune-project.org/}},
- key = {DUNE}
-}
-
@MISC{DUNE-BS,
title = {{DUNE} Build System Howto: \url{http://www.dune-project.org/doc/buildsystem/buildsystem.pdf}},
key = {DUNE-BS}
}
-@MISC{DUNE-INST,
- title = {Installation notes to {DUNE}: \url{http://www.dune-project.org/doc/installation-notes.html}},
- key = {DUNE-INST}
-}
-@MISC{DUNE-USER-WIKI,
- title = {{DUNE} User Wiki: \url{http://users.dune-project.org/}},
- key = {DUNE-USER-WIKI}
-}
-
-@MISC{DUNE-MAIN-WIKI,
- title = {{DUNE} Main Wiki: \url{http://users.dune-project.org/projects/main-wiki/wiki/}},
- key = {DUNE-MAIN-WIKI}
-}
-
@MISC{DUNE-DOWNLOAD-SVN,
title = {Download of {DUNE} via SVN: \url{http://www.dune-project.org/downloadsvn.html}},
key = {DUNE-DOWNLOAD-SVN}
@@ -912,37 +933,54 @@
title = {Use of external libraries in DUNE \url{http://www.dune-project.org/external_libraries/index.html}},
key = {DUNE-EXTERNAL-LIBRARIES}
}
+
@MISC{DUNE-EXT-MOD,
title = {Use of external modules in DUNE \url{http://www.dune-project.org/downloadext.html}},
key = {DUNE-EXTERNAL-MODULES}
}
+@MISC{DUNE-HP,
+ title = {The {DUNE} Project: \url{http://www.dune-project.org/}},
+ key = {DUNE}
+}
+
+@MISC{DUNE-INST,
+ title = {Installation notes to {DUNE}: \url{http://www.dune-project.org/doc/installation-notes.html}},
+ key = {DUNE-INST}
+}
+
+@MISC{DUNE-MAIN-WIKI,
+ title = {{DUNE} Main Wiki: \url{http://users.dune-project.org/projects/main-wiki/wiki/}},
+ key = {DUNE-MAIN-WIKI}
+}
+
+@MISC{DUNE-USER-WIKI,
+ title = {{DUNE} User Wiki: \url{http://users.dune-project.org/}},
+ key = {DUNE-USER-WIKI}
+}
+
@MISC{FENICS-HP,
title = {The {FEniCS} Project: \url{http://www.fenicsproject.org/}},
key = {FENICS}
}
+@MISC{GNU-BS,
+ title = {wikipedia about GNU build system: \url{http://en.wikipedia.org/wiki/GNU_build_system}},
+ key = {WIKIPED-GNU-BS}
+}
+
@MISC{STL-REF-HP,
title = {A {STL} Reference: \url{http://www.cplusplus.com/reference/stl/}},
key = {STL}
}
-@MISC{BOOST-HP,
- title = {The {Boost} Homepage: \url{http://www.boost.org/}},
- key = {BOOST}
-}
-
@MISC{UG-HP,
title = {The {UG} Homepage: \url{http://atlas.gcsc.uni-frankfurt.de/~ug/}},
key = {UG}
}
+
@MISC{WIKIPED-ALIASING,
title = {wikipedia about aliasing an optimzation: \url{http://en.wikipedia.org/wiki/Aliasing\_(computing)}},
key = {WikipediaAliasing}
}
-@MISC{GNU-BS,
- title = {wikipedia about GNU build system: \url{http://en.wikipedia.org/wiki/GNU_build_system}},
- key = {WIKIPED-GNU-BS}
-}
-
diff --git a/doc/handbook/models.tex b/doc/handbook/models.tex
index 5ef93abedd4442c5f919d1e14cbcedf77b7fbad8..7081ae9cde2f057fabe32eb33592de2e497e1199 100644
--- a/doc/handbook/models.tex
+++ b/doc/handbook/models.tex
@@ -178,7 +178,8 @@ from the Doxygen documentation. \textbf{TODO}: Unify notation.
\subsubsection{FractionalFlow Model}
\input{ModelDescriptions/2pdecoupledmodel}
-\input{models_decoupled2p2c}
+\subsubsection{Decoupled Compositional Models}
+\input{ModelDescriptions/decoupled2p2c}
diff --git a/doc/handbook/models_decoupled2p2c.tex b/doc/handbook/models_decoupled2p2c.tex
deleted file mode 100644
index 4413d7f48d0545597d79d0fd7db499f023222e52..0000000000000000000000000000000000000000
--- a/doc/handbook/models_decoupled2p2c.tex
+++ /dev/null
@@ -1,5 +0,0 @@
-\subsubsection{Decoupled2p2c}
-
-(Extracted from decoupled2p2c.hh:)
-\input{ModelDescriptions/decoupled2p2c}
-