From 06e0654d5d401b4f3e5a17de8a170c07bf5f1062 Mon Sep 17 00:00:00 2001
From: Bernd Flemisch <Bernd.Flemisch@iws.uni-stuttgart.de>
Date: Wed, 3 Jun 2009 08:37:34 +0000
Subject: [PATCH] model description added to handbook

---
 doc/handbook/EPS/masstransfer.eps             | 1228 +++++++++++++++++
 doc/handbook/Makefile.am                      |   15 +
 .../ModelDescriptions/1p2cboxmodel.tex        |    1 +
 doc/handbook/ModelDescriptions/1pboxmodel.tex |    1 +
 .../ModelDescriptions/2p2cboxmodel.tex        |    3 +
 .../ModelDescriptions/2p2cniboxmodel.tex      |    1 +
 doc/handbook/ModelDescriptions/2pboxmodel.tex |    1 +
 .../ModelDescriptions/2pniboxmodel.tex        |    1 +
 .../ModelDescriptions/richardsboxmodel.tex    |    1 +
 doc/handbook/dumux-handbook.bib               |  425 +++++-
 doc/handbook/dumux-handbook.tex               |   23 +
 doc/handbook/models.tex                       |  150 ++
 12 files changed, 1849 insertions(+), 1 deletion(-)
 create mode 100644 doc/handbook/EPS/masstransfer.eps
 create mode 100644 doc/handbook/ModelDescriptions/1p2cboxmodel.tex
 create mode 100644 doc/handbook/ModelDescriptions/1pboxmodel.tex
 create mode 100644 doc/handbook/ModelDescriptions/2p2cboxmodel.tex
 create mode 100644 doc/handbook/ModelDescriptions/2p2cniboxmodel.tex
 create mode 100644 doc/handbook/ModelDescriptions/2pboxmodel.tex
 create mode 100644 doc/handbook/ModelDescriptions/2pniboxmodel.tex
 create mode 100644 doc/handbook/ModelDescriptions/richardsboxmodel.tex
 create mode 100644 doc/handbook/models.tex

diff --git a/doc/handbook/EPS/masstransfer.eps b/doc/handbook/EPS/masstransfer.eps
new file mode 100644
index 000000000..9400e6f7a
--- /dev/null
+++ b/doc/handbook/EPS/masstransfer.eps
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diff --git a/doc/handbook/Makefile.am b/doc/handbook/Makefile.am
index 6f0aa8561..02c028494 100644
--- a/doc/handbook/Makefile.am
+++ b/doc/handbook/Makefile.am
@@ -52,6 +52,20 @@ dumux-handbook.html:  $(DOCSOURCE) dune.cfg tex4ht.env
 	$(T4HT) dumux-handbook.tex
 	$(TEX) dumux-handbook.tex
 
+all: 
+	cat ../doxygen/latex/classDune_1_1OnePBoxModel.tex | ../../util/scripts/extractDetailedDescription.py >ModelDescriptions/1pboxmodel.tex
+	cat ../doxygen/latex/classDune_1_1OnePTwoCBoxModel.tex | ../../util/scripts/extractDetailedDescription.py >ModelDescriptions/1p2cboxmodel.tex
+	cat ../doxygen/latex/classDune_1_1RichardsBoxModel.tex | ../../util/scripts/extractDetailedDescription.py >ModelDescriptions/richardsboxmodel.tex
+	cat ../doxygen/latex/classDune_1_1TwoPBoxModel.tex | ../../util/scripts/extractDetailedDescription.py >ModelDescriptions/2pboxmodel.tex
+	cat ../doxygen/latex/classDune_1_1TwoPNIBoxModel.tex | ../../util/scripts/extractDetailedDescription.py >ModelDescriptions/2pniboxmodel.tex
+	cat ../doxygen/latex/classDune_1_1TwoPTwoCBoxModel.tex | ../../util/scripts/extractDetailedDescription.py >ModelDescriptions/2p2cboxmodel.tex
+	cat ../doxygen/latex/classDune_1_1TwoPTwoCNIBoxModel.tex | ../../util/scripts/extractDetailedDescription.py >ModelDescriptions/2p2cniboxmodel.tex
+	latex dumux-handbook.tex
+	bibtex dumux-handbook
+	latex dumux-handbook.tex
+	latex dumux-handbook.tex
+	dvipdf dumux-handbook
+
 #dist-hook:
 #	sed $(srcdir)/Makefile.dist.am -e 's/Makefile\.dist/Makefile/g' > $(distdir)/Makefile.am
 #	sed $(srcdir)/Makefile.dist.in -e 's/Makefile\.dist/Makefile/g' > $(distdir)/Makefile.in
@@ -61,3 +75,4 @@ EXTRA_TEXINPUTS:=$(top_srcdir)
 include $(top_srcdir)/am/global-rules
 include $(top_srcdir)/am/webstuff
 include $(top_srcdir)/am/latex
+
diff --git a/doc/handbook/ModelDescriptions/1p2cboxmodel.tex b/doc/handbook/ModelDescriptions/1p2cboxmodel.tex
new file mode 100644
index 000000000..c313d9159
--- /dev/null
+++ b/doc/handbook/ModelDescriptions/1p2cboxmodel.tex
@@ -0,0 +1 @@
+Here comes the detailed documentation. 
diff --git a/doc/handbook/ModelDescriptions/1pboxmodel.tex b/doc/handbook/ModelDescriptions/1pboxmodel.tex
new file mode 100644
index 000000000..c313d9159
--- /dev/null
+++ b/doc/handbook/ModelDescriptions/1pboxmodel.tex
@@ -0,0 +1 @@
+Here comes the detailed documentation. 
diff --git a/doc/handbook/ModelDescriptions/2p2cboxmodel.tex b/doc/handbook/ModelDescriptions/2p2cboxmodel.tex
new file mode 100644
index 000000000..85d936e9e
--- /dev/null
+++ b/doc/handbook/ModelDescriptions/2p2cboxmodel.tex
@@ -0,0 +1,3 @@
+This implements an isothermal two phase two component model.
+
+Depending on the value of the \char`\"{}Formulation\char`\"{} property, the primary variables are either \$p\_\-w\$ and \$S\_\-n;X\$ or \$p\_\-n\$ or \$S\_\-w;X\$. By default they are \$p\_\-w\$ and \$S\_\-n\$ 
diff --git a/doc/handbook/ModelDescriptions/2p2cniboxmodel.tex b/doc/handbook/ModelDescriptions/2p2cniboxmodel.tex
new file mode 100644
index 000000000..6ac516c1a
--- /dev/null
+++ b/doc/handbook/ModelDescriptions/2p2cniboxmodel.tex
@@ -0,0 +1 @@
+This implements a non-isothermal two-phase two-component model with Pw and Sn/X as primary unknowns. You can use Pn and Sw/X as primary variables if you set the Formulation property to pNsW. 
diff --git a/doc/handbook/ModelDescriptions/2pboxmodel.tex b/doc/handbook/ModelDescriptions/2pboxmodel.tex
new file mode 100644
index 000000000..217c6e7b3
--- /dev/null
+++ b/doc/handbook/ModelDescriptions/2pboxmodel.tex
@@ -0,0 +1 @@
+\doxyref{TwoPBoxModel}{p.}{classDune_1_1TwoPBoxModel} describes the box discretization of an isothermal twophase flow model. The underlying equations are obtained after inserting Darcy's law into the mass balance equation for each phase, yielding \begin{align*} \phi \frac{\partial (\varrho_{\text{mass,w}} S_\text{w})}{\partial t} -\Div \left( \lambda_\text{w} \varrho_{\text{mass,w}} K \left(\grad p_\text{w} - \varrho_{\text{mass,w}}\boldsymbol{g} \right)\right) - q_\text{w} &= 0, \\ \phi \frac{\partial (\varrho_{\text{mass,n}} S_\text{n})}{\partial t} - \Div \left( \lambda_\text{n} \varrho_{\text{mass,n}} K\left( \grad p_\text{n} - \varrho_{\text{mass,n}}\boldsymbol{g} \right)\right) - q_\text{n} &= 0. \end{align*} You can pick the formulation by setting the \char`\"{}Formulation\char`\"{} property. The default is $p_\text{w}$-$S_\text{n}$. 
diff --git a/doc/handbook/ModelDescriptions/2pniboxmodel.tex b/doc/handbook/ModelDescriptions/2pniboxmodel.tex
new file mode 100644
index 000000000..43d429678
--- /dev/null
+++ b/doc/handbook/ModelDescriptions/2pniboxmodel.tex
@@ -0,0 +1 @@
+This implements a non-isothermal two-phase model with Pw and Sn as primary unknowns. You can also use Pn and Sw as primary variables if you set the Formulation property to pNsW. 
diff --git a/doc/handbook/ModelDescriptions/richardsboxmodel.tex b/doc/handbook/ModelDescriptions/richardsboxmodel.tex
new file mode 100644
index 000000000..c313d9159
--- /dev/null
+++ b/doc/handbook/ModelDescriptions/richardsboxmodel.tex
@@ -0,0 +1 @@
+Here comes the detailed documentation. 
diff --git a/doc/handbook/dumux-handbook.bib b/doc/handbook/dumux-handbook.bib
index 1798057dc..6911b300c 100644
--- a/doc/handbook/dumux-handbook.bib
+++ b/doc/handbook/dumux-handbook.bib
@@ -480,4 +480,427 @@
 	volume = {43},
         number = {3},
 }
- 
\ No newline at end of file
+ 
+
+@InProceedings{A3:aavatsmark:1994,
+  author = 	 {Aavatsmark, I. and Barkve, T. and B{\o}e, {\O}. and
+                  Mannseth, T.},
+  title = 	 {Discretization on non-orthogonal, curvilinear grids
+                  for multiphase flow},
+  booktitle = 	 {Proc.\ of the 4th European Conf.\ on the Mathematics
+                  of Oil Recovery},
+  year = 	 {1994},
+  address = 	 {Norway}
+}
+
+@Article{A3:aavatsmark:1996,
+  author = 	 {Aavatsmark, I. and Barkve, T. and B{\o}e, {\O}. and
+                  Mannseth, T.},
+  title = 	 {Discretization on Non-Orthogonal, Quadrilateral
+                  Grids for Inhomogeneous Anisotropic Media},
+  journal = 	 {Journal of Computational Physics},
+  year = 	 {1996},
+  volume = 	 {127},
+  pages = 	 {2--14}
+}
+
+@Article{A3:aavatsmark:2002,
+  author = 	 {Aavatsmark, Ivar},
+  title = 	 {An introduction to multipoint flux approximations
+                  for quadrilateral grids},
+  journal = 	 {Computational Geosciences},
+  year = 	 {2002},
+  volume = 	 {6},
+  pages = 	 {405--432}
+}
+
+@article{A3:Braun:2002,
+  author = 	 {Braun, C. and Helmig, R. and Manthey, S.},
+  title = 	 {Determination of constitutive relationships for
+                  two-phase flow processes in heterogeneous porous
+                  media with emphasis on the relative
+                  permeability-saturation-relationship},
+  journal = 	 {Journal of Contaminant Hydrology},
+  year = 	 {2005}
+}
+
+@InProceedings{A3:edwards:1994,
+  author = 	 {Edwards, M. G. and Rogers, C. F.},
+  title = 	 {A flux continuous scheme for the full tensor
+                  pressure equation},
+  booktitle = 	 {Proc.\ of the 4th European Conf.\ on the Mathematics
+                  of Oil Recovery},
+  year = 	 {1994},
+  address = 	 {Norway}
+}
+
+@Book{A3:whitaker:1999,
+  author = 	 {Whitaker, Stephen},
+  title = 	 {The Method of Volume Averaging},
+  publisher = 	 {Kluwer Academic Publishers},
+  year = 	 {1999},
+  volume = 	 {13},
+  series = 	 {Theory and Applications of Transport in Porous Media},
+  address = 	 {Dordrecht}
+}
+
+@Book{A3:helmig:1997,
+  author = 	 {Helmig, R.},
+  title = 	 {Multiphase Flow and Transport Processes in the
+                  Subsurface --- A Contribution to the Modeling of
+                  Hydrosystems},
+  publisher = 	 {Springer Verlag},
+  year = 	 {1997}
+}
+
+@PhdThesis{A3:emmert:1997,
+  author = 	 {Emmert, Martin},
+  title = 	 {Numerische Simulation von isothermen/nichtisothermen
+                  Mehrphasenprozessen unter Ber\"ucksichtigung der
+                  Ver\"anderung der Fluideigenschaften},
+  school = 	 {Institut f\"ur Wasserbau, Universit\"at Stuttgart},
+  year = 	 {1997}
+}
+
+@Book{A3:class:2001,
+  author = 	 {Class, Holger},
+  title = 	 {Theorie und numerische Modellierung nichtisothermer
+                  Mehrphasenprozesse in NAPL-kontaminierten por\"osen
+                  Medien},
+  publisher = 	 {Institut f\"ur Wasserbau, Universit\"at Stuttgart},
+  year = 	 {2001},
+  volume = 	 {105},
+  series = 	 {Mitteilungsheft}
+}
+
+@InBook{A3:bastian:2000,
+  author = 	 {Bastian, P. and Chen, Z. and Ewing, R. E. and
+                  Helmig, R. and Jakobs H. and Reichenberger V.},
+  title = 	 {Numerical Simulation of Multiphase Flow in Fractured
+                  Porous Media.},
+  publisher = 	 {Springer Verlag},
+  year = 	 {2000},
+  series = 	 {Lecture Notes in Physics, Chen, Ewing and Shi (eds.)},
+  pages = 	 {52--71}
+}
+
+@Book{A3:aziz:1979,
+  author = 	 {Aziz, K. and Settari, A.},
+  title = 	 {Petroleum Reservoir Simulation},
+  publisher = 	 {Applied Science Publishers, London},
+  year = 	 {1979}
+}
+
+@Book{A3:looney:2000,
+  author = 	 {Looney, B. B. and Falta, R. W.},
+  title = 	 {Vadose Zone},
+  publisher = 	 {Batelle Press, Columbus OH},
+  year = 	 {2000}
+}
+
+@MastersThesis{A3:grass:2005,
+  author = 	 {Grass, Christoph},
+  title = 	 {Untersuchung von Randbedingungen bei der numerischen
+                  Simulation von Zweiphasenstr\"omungen in por\"osen
+                  Medien},
+  school = 	 {Institut f\"ur Wasserbau, Universit\"at Stuttgart},
+  year = 	 {2005},
+  month = 	 {January}
+}
+
+@InBook{A3:bastian:1997,
+  author = 	 {Bastian, P. and Birken, K. and Lang, S. and
+                  Johannsen, K. and Neuss, N. and Rentz-Reichert,
+                  H. and Wieners, C.},
+  title = 	 {UG: A flexible software toolbox for solving partial
+                  differential equations.},
+  publisher = 	 {Springer Verlag},
+  year = 	 {1997},
+  volume = 	 {1},
+  series = 	 {Computing and Visualization in Science},
+  pages = 	 {27--40}
+}
+
+@Book{A3:lancaster:1969,
+  author = 	 {Lancaster, Peter},
+  title = 	 {Theory of Matrices},
+  publisher = 	 {Academic Press, Inc.\ (London) Ltd.},
+  year = 	 {1969}
+}
+
+@PhdThesis{A3:oelmann:2006a,
+  author = 	 {\"Olmann, Ulrich},
+  title = 	 {Behandlung anisotroper Mobilit\"aten als Resultat
+                  von Upscalingverfahren mittels
+                  Mehrpunktflu{\ss}approximationen},
+  school = 	 {Institut f\"ur Wasserbau, Universit\"at Stuttgart},
+  year = 	 {to be published 2006}
+}
+
+@InBook{A3:sfb404:2003,
+  author = 	 {Helmig, R. and Class, H. and Jakobs, H. and
+                  Bierlinski, A. and \"Olmann, U.},
+  title = 	 {Arbeits- und Ergebnisbericht 2003},
+  chapter = 	 {A3},
+  publisher = 	 {SFB 404},
+  year = 	 {2003},
+  month = 	 {May},
+  pages = 	 {69--98}
+}
+
+@Article{A3:coats:1974,
+  author = 	 {Coats, K.H. and Chieh Chu, W.D.G. and Marcum, B.E.},
+  title = 	 {Three-dimensional simulation of steamflooding},
+  journal = 	 {Society of Petroleum Engineers Journal},
+  year = 	 {1974},
+  month = 	 {December}
+}
+
+@Article{A3:falta:1992,
+  author = 	 {Falta, R.W. and Pruess, K. and Javandel, I. and
+                  Witherspoon, P.A.},
+  title = 	 {Numerical Modeling of Steam Injection for the
+                  Removal of Nonaqueous Phase Liquids From the
+                  Subsurface. 1. Numerical Formulation},
+  journal = 	 {Water Resoures Research},
+  year = 	 {1992},
+  volume = 	 {28,2},
+  pages = 	 {433--449}
+}
+
+@Article{A3:class:2002a,
+  author = 	 {Class, H. and Helmig, R. and Bastian, P.},
+  title = 	 {Numerical Simulation of Nonisothermal Multiphase
+                  Multicomponent Processes in Porous Media -- 1. An
+                  Efficient Solution Technique},
+  journal = 	 {Advances in Water Resources},
+  year = 	 {2002},
+  volume = 	 {25},
+  pages = 	 {533--550}
+}
+
+@Article{A3:class:2002b,
+  author = 	 {Class, H. and Helmig, R.},
+  title = 	 {Numerical Simulation of Nonisothermal Multiphase
+                  Multicomponent Processes in Porous Media --
+                  2. Applications for the Injection of Steam and Air},
+  journal = 	 {Advances in Water Resources},
+  year = 	 {2002},
+  volume = 	 {25},
+  pages = 	 {551--564}
+}
+
+@TechReport{A3:forsyth:1993,
+  author = 	 {Forsyth, P.A.},
+  title = 	 {Three dimensional modeling of steam flush for DNAPL
+                  site remediation},
+  institution =  {Dep. of Computer Science},
+  year = 	 {1993},
+  address = 	 {University of Waterloo},
+  note = 	 {CS-93-56}
+}
+
+@PhdThesis{A3:bielinski:2006,
+  author = 	 {Bielinski, A.},
+  title = 	 {Numerical Simulation of CO$_2$ Sequestration in
+                  Geological Formations},
+  school = 	 {Institut f\"ur Wasserbau, Universit\"at Stuttgart},
+  year = 	 {2006}
+}
+
+@Article{A3:nordbotten:2005a,
+  author = 	 {Nordbotten, J.M. and Celia, M.A. and Bachu, S.},
+  title = 	 {Injection and Storage of {CO$_2$} in Deep Saline
+                  Aquifers: Analytical Solution for {CO$_2$} Plume
+                  Evolution During Injection},
+  journal = 	 {Transport in Porous Media},
+  year = 	 {2005},
+  volume = 	 {58(3)},
+  pages = 	 {339--360}
+}
+
+@Article{A3:nordbotten:2005b,
+  author = 	 {Nordbotten, J.M. and Celia, M.A. and Bachu, S. and
+                  Dahle, H.},
+  title = 	 {Semi-Analytical Solution for {CO$_2$} Leakage
+                  through an Abandoned Well},
+  journal = 	 {Environmental Science and Technology},
+  year = 	 {2005},
+  volume = 	 {39(2)},
+  pages = 	 {602--611}
+}
+
+@Article{A3:acosta:2006,
+  author = 	 {Acosta, M. and Merten, C. and Eigenberger, G. and
+                  Class, H. and Helmig, R. and Thoben, B. and
+                  M\"uller-Steinhagen, H.},
+  title = 	 {Modeling non-isothermal two-phase multicomponent
+                  flow in the cathode of PEM fuel cells},
+  journal = 	 {Journal of Power Sources},
+  year = 	 {2006},
+  pages = 	 {in print}
+}
+
+@InProceedings{A3:freiboth:2004,
+  author = 	 {Sandra H\"olzemann and Holger Class and Rainer
+                  Helmig},
+  title = 	 {A New Concept for the Numerical Simulation and
+                  Parameter Identification of Multiphase Flow and
+                  Transport Processes in Cohesive Soils},
+  booktitle = 	 {{Unsaturated Soils: Numerical and Theoretical
+                  Approaches -- Proceedings of the International
+                  Conference ``From Experimental Evidence towards
+                  Numerical Modelling of Unsaturated Soils'' (18. -
+                  19. September 2003, Bauhaus-Universit\"at Weimar)}},
+  year = 	 {2004},
+  editor = 	 {Schanz, T.},
+  publisher =	 {Springer-Verlag},
+  note =	 {ISBN: 3-540-21122-5}
+}
+
+@Misc{A3:IAPWS:2003,
+  author = 	 {IAPWS (The International Association for the
+                  Properties of Water and Steam)},
+  title = 	 {Revised Release on the IAPS Formulation 1985 for the
+                  Viscosity of Ordinary Water Substance},
+  howpublished = {http://www.iapws.org/},
+  year = 	 {2003}
+}
+
+@Book{A3:reid:1987,
+  author = 	 {Reid, R.C. and Prausnitz, J.M. and Poling, B.E.},
+  title = 	 {The Properties of Gases and Liquids},
+  publisher = 	 {McGraw-Hill Inc.},
+  year = 	 {1987}
+}
+
+@Book{A3:leveque:1998,
+  author = 	 {LeVeque, Randall J.},
+  title = 	 {Numerical Methods for Conservation Laws},
+  publisher = 	 {Birkh\"auser Verlag, Basel Boston, Berlin},
+  year = 	 {1998}
+}
+
+@InProceedings{A3:gimse:1991,
+  author = 	 {Gimse, Tore and Risebro, Nils Henrik},
+  title = 	 {Riemann Problems with a Discontinuous Flux Function},
+  booktitle = 	 {Proc.\ 3rd Internat.\ Conf.\ Hyperbolic Problems},
+  pages = 	 {488-502},
+  year = 	 {1991},
+  address = 	 {Uppsala}
+}
+
+@Article{A3:gimse:1992,
+  author = 	 {Gimse, Tore and Risebro, Nils Henrik},
+  title = 	 {Solution of the Cauchy Problem for a Conservation
+                  Law with a Discontinuous Flux Function},
+  journal = 	 {SIAM J.\ Math.\ Anal.},
+  year = 	 {1992},
+  volume = 	 {23},
+  number = 	 {3},
+  pages = 	 {635-648}
+}
+
+@Misc{A3:oelmann:2006b,
+  author = 	 {\"Olmann, U. and Aavatsmark, I. and Helmig, R.},
+  title = 	 {{Buckley-Leverett heterogen --- Konstruktion der
+                  L\"osung mit der Charakteristikenmethode}},
+  howpublished = {Preprint-Reihe des SFB404},
+  note = 	 {2006/05},
+  month = 	 {March},
+  year = 	 {2006}
+}
+
+@book{A3:Stauffer:1984,
+  author = {Stauffer, F. and Aharnony, A.},
+  title = {Introduction to Percolation Theory},
+  publisher = {Taylor \& Francis},
+  year = {1994}
+}
+
+@article{A3:King:1996,
+  author = 	{King, P. R.},
+  title = 	{Upscaling Permeability: Error Analysis for
+                  Renormalisation},
+  journal = 	{Transport in Porous Media},
+  volume = 	{23},
+  pages = 	{337--354},
+  year = 	{1996}
+}
+
+@article{A3:Williams:1989,
+  author = 	{Williams, J. K.},
+  title = 	{Simple Renormalisation Schemes for Calculating
+                  Effective Properties of Heterogeneous Reservoirs},
+  journal = 	{1st European Conference on the Mathematics of Oil
+                  Recovery, Cambridge, UK, July 1989},
+  year = 	{1989}
+}
+
+@article{A3:Wen:1996,
+  author = 	{Wen, X. H. and G\'{o}mez-Hern\'{a}ndez, J. J.},
+  title = 	{Upscaling hydraulic conductivities in heterogenous
+                  media: An overview},
+  journal = 	{Journal of Hydrology},
+  volume = 	{183},
+  pages = 	{ix--xxxii},
+  year = 	{1996}
+}
+
+@InProceedings{A3:HelmigEtAl:2006,
+  author = 	 {Helmig, R. and Miller, C. T. and Jakobs, H. and
+                  Class, H. and Hilpert, M. and Kees, C. E. and
+                  Niessner, J.},
+  title = 	 {{Multiphase Flow and Transport Modeling in
+                  Heterogeneous Porous Media}},
+  booktitle = 	 {Progress in Industrial Mathematics at ECMI 2004},
+  pages = 	 {449--488},
+  year = 	 {2006},
+  editor = 	 {Di Bucchianico, A. and Mattheij, R. M. M. and
+                  Peletier, M. A.},
+  address = 	 {Eindhoven University of Technology},
+  month = 	 {6},
+  publisher = 	 {Springer-Verlag},
+  type = 	 {Plenary lecture},
+  note = 	 {3-540-28072-3}
+}
+
+@Unpublished{A3:nordbotten:2005c,
+  author = 	 {Nordbotten, J. M. and Aavatsmark, I. and Eigestad,
+                  G. T.},
+  title = 	 {Monotonicity of Control Volume Methods},
+  note = 	 {submitted to Numerische Mathematik},
+  year = 	 {2005}
+}
+
+@Article{A3:bastian:1999,
+  author = 	 {Bastian, P. and Helmig, R.},
+  title = 	 {Efficient Fully-Coupled Solution Techniques for Two
+                  Phase Flow in Porous Media. Parallel Multigrid
+                  Solution and Large Scale Computations},
+  journal = 	 {Advances in Water Resources},
+  year = 	 {1999}
+}
+
+@Article{A3:deneef:1997,
+  author = 	 {De Neef, M. and Molenaar, J.},
+  title = 	 {Analysis of DNAPL infiltration in a Medium with a
+                  low-permeable lens},
+  journal = 	 {Computational Geosciences},
+  year = 	 {1997},
+  volume = 	 {1},
+  pages = 	 {191-214}
+}
+
+@InProceedings{A3:allan:1998,
+  author = 	 {Allan, J. and Ewing, J. and Helmig, R. and Braun, J.},
+  title = 	 {Scale effects in multiphase flow modeling},
+  booktitle = 	 {1. International conference on remediation of
+                  chlorinated and recalcitrant compounds},
+  year = 	 {1998},
+  editor = 	 {Wickramanayake, G.B. and Hinchee,  R.E.},
+  address = 	 {Monterey, California, USA},
+  month = 	 {18th--21st of may},
+  publisher = {Battelle Press, Columbus, OH, USA}
+}
+
diff --git a/doc/handbook/dumux-handbook.tex b/doc/handbook/dumux-handbook.tex
index 6d8e45d67..c16673910 100644
--- a/doc/handbook/dumux-handbook.tex
+++ b/doc/handbook/dumux-handbook.tex
@@ -20,6 +20,24 @@
 
 \newcommand{\Dune}{{\sf\bfseries DUNE}}
 \newcommand{\Dumux}{DuMu$^\text{x}$ }
+\newcommand{\doxyref}[3]{\textnormal{#1}}
+\newenvironment{CompactList}
+{\begin{list}{}{
+  \setlength{\leftmargin}{0.5cm}
+  \setlength{\itemsep}{0pt}
+  \setlength{\parsep}{0pt}
+  \setlength{\topsep}{0pt}
+  \renewcommand{\makelabel}{\hfill}}}
+{\end{list}}
+\newenvironment{CompactItemize}
+{
+  \begin{itemize}
+  \setlength{\itemsep}{-3pt}
+  \setlength{\parsep}{0pt}
+  \setlength{\topsep}{0pt}
+  \setlength{\partopsep}{0pt}
+}
+{\end{itemize}}
 
 %The theorems
 \theorembodyfont{\upshape}
@@ -29,6 +47,10 @@
 \newtheorem{lst}{Listing}
 \newtheorem{warn}[exc]{Warning}
 
+\DeclareMathOperator{\grad}{grad}
+\DeclareMathOperator{\curl}{curl}
+\DeclareMathOperator{\Div}{div}
+
 \pagestyle{scrheadings}
 
 \title{\Dumux Handbook}
@@ -61,6 +83,7 @@ Universit\"at Stuttgart, Paffenwaldring 61, D-70569 Stuttgart, Germany}\\
 \input{intro}
 \input{getting-started}
 \input{tutorial}
+\input{models} 
 
 \bibliographystyle{plain}
 \bibliography{dumux-handbook}
diff --git a/doc/handbook/models.tex b/doc/handbook/models.tex
new file mode 100644
index 000000000..7dbcd51c5
--- /dev/null
+++ b/doc/handbook/models.tex
@@ -0,0 +1,150 @@
+\chapter[Models]{Physical and numerical models}
+
+\section{Physical and mathematical description} 
+
+Characteristic of compositional multiphase models is that the phases
+are not only matter of a single chemical substance. Instead, their
+composition in general includes several species, and for the mass transfer, 
+the component behavior is quite different from the phase behavior. In the following, we
+give some basic definitions and assumptions that are required for the
+formulation of the model concept below. As an example, we take a
+three-phase three-component system water-NAPL-gas
+\cite{A3:class:2002a}. The modification for other multicomponent
+systems is straightforward and can be found, e.\ g., in
+\cite{A3:bielinski:2006,A3:acosta:2006}.
+
+\subsection{Basic Definitions and Assumptions for the Compositional
+  Model Concept}
+\textbf{Components:}
+The term {\it component} stands for constituents of the phases which
+can be associated with a unique chemical species, or, more generally, with 
+a group of species exploiting similar physical behavior. In this work, we
+assume a water-gas-NAPL system composed of the phases water (subscript
+$\text{w}$), gas ($\text{g}$), and NAPL ($\text{n}$). These phases are
+composed of the components water (superscript $\text{w}$), air
+($\text{a}$), and the organic contaminant ($\text{c}$) (see Fig.\
+\ref{A3:fig:mundwtrans}).
+%
+\begin{figure}[hbt]
+  \centering
+  \includegraphics[width=0.7\linewidth]{EPS/masstransfer}
+  \caption{Mass and energy transfer between the phases}
+  \label{A3:fig:mundwtrans}
+\end{figure}
+
+\textbf{Equilibrium:}
+For the nonisothermal multiphase processes in porous media under
+consideration, we state that the assumption of local thermal
+equilibrium is valid since flow velocities are small. We neglect
+chemical reactions and biological decomposition and assume chemical
+equilibrium.  Mechanical equilibrium is not valid in a porous medium, 
+since discontinuities in pressure can occur across a fluid-fluid
+interface due to capillary effects.
+
+\textbf{Notation:} The index $\alpha \in \{\text{w}, \text{n}, \text{g}\}$ refers 
+to the phase, while the index $\kappa \in \{\text{w}, \text{a}, \text{c}\}$ refers 
+to the component. \\
+\begin{tabular}{llll}
+$p_\alpha$ & phase pressure & $\phi$ & porosity \\
+$T$ & temperature & $K$ & absolute permeability tensor \\
+$S_\alpha$ & phase saturation & $\tau$ & tortuosity \\
+$x_\alpha^\kappa$ & mole fraction of component $\kappa$ in phase $\alpha$ & $\boldsymbol{g}$ & gravitational acceleration \\
+$X_\alpha^\kappa$ & mass fraction of component $\kappa$ in phase $\alpha$ & $q^\kappa$ & volume source term \\
+$\varrho_{\text{mol},\alpha}$ & molar density of phase $\alpha$ & $u_\alpha$ & specific internal energy \\
+$\varrho_{\text{mass},\alpha}$ & mass density of phase $\alpha$ & $h_\alpha$ & specific enthalpy \\
+$k_{\text{r}\alpha}$ & relative permeability & $c_\text{s}$ & specific heat enthalpy \\
+$\mu_\alpha$ & phase viscosity & $\lambda_\text{pm}$ & heat conductivity \\
+$D_\alpha^\kappa$ & diffusivity of component $\kappa$ in phase $\alpha$ & $q^h$ & heat source term 
+\end{tabular}
+
+
+\subsection{Balance Equations}
+For the balance equations for multicomponent systems, it is in many
+cases convenient to use a molar formulation of the continuity
+equation. Considering the mass conservation for each component allows
+us to drop source/sink terms for describing the mass transfer between
+phases. Then, the
+molar mass balance can be written as:
+%
+\begin{eqnarray}
+  \label{A3:eqmass1}
+  && \phi \frac{\partial (\sum_\alpha \varrho_{\text{mol}, \alpha}
+    x_\alpha^\kappa S_\alpha )}{\partial t} \nonumber 
+ - \sum\limits_\alpha \Div \left( \frac{k_{\text{r}
+        \alpha}}{\mu_\alpha} \varrho_{\text{mol}, \alpha}
+    x_\alpha^\kappa K (\grad p_\alpha -
+    \varrho_{\text{mass}, \alpha} \boldsymbol{g}) \right) \nonumber \\
+  %
+  \nonumber \\
+  %
+  && - \sum\limits_\alpha \Div \left( \tau \phi S_\alpha D_\alpha^\kappa \varrho_{\text{mol},
+      \alpha} \grad x_\alpha^\kappa \right) \nonumber 
+ - q^\kappa = 0, \qquad \kappa \in \{\text{w,a,c}\}.
+\end{eqnarray}
+
+In the case of non-isothermal systems, we further have to balance the
+thermal energy. We assume fully reversible processes, such that entropy
+is not needed as a model parameter. Furthermore, we neglect 
+dissipative effects and the heat transport due to molecular
+diffusion. The heat balance can then be
+formulated as:
+%
+\begin{eqnarray}
+  \label{A3:eqenergmak1}
+  && \phi \frac{\partial \left( \sum_\alpha \varrho_{\text{mass},
+        \alpha} u_\alpha S_\alpha \right)}{\partial t} + \left( 1 -
+    \phi \right) \frac{\partial \varrho_{\text{s}} c_{\text{s}}
+    T}{\partial t} \nonumber 
+ - \Div \left( \lambda_{\text{pm}} \grad T \right)
+  \nonumber \\
+  %
+  \nonumber \\
+  %
+  && - \sum\limits_\alpha \Div \left( \frac{k_{\text{r}
+        \alpha}}{\mu_\alpha} \varrho_{\text{mass}, \alpha} h_\alpha
+    K \left( \grad p_\alpha - \varrho_{\text{mass}, \alpha}
+      \boldsymbol{g} \right) \right) \nonumber 
+ - q^h \; = \; 0.
+\end{eqnarray}
+
+In order to close the system, supplementary constraints for capillary pressure, saturations and mole
+fractions are needed, \cite{A3:helmig:1997}. 
+According to the Gibbsian phase rule, the number of degrees of freedom
+in a non-isothermal multiphase multicomponent system is equal to the
+number of components plus one. This means we need as many independent
+unknowns in the system description. The
+available primary variables are, e.\ g., saturations, mole/mass
+fractions, temperature, pressures, etc.
+
+
+
+
+\section{Available models} 
+
+\subsection{Fully coupled models} 
+
+\subsubsection{OnePBoxModel} 
+\input{ModelDescriptions/1pboxmodel}
+
+\subsubsection{OnePTwoCBoxModel} 
+\input{ModelDescriptions/1p2cboxmodel}
+
+\subsubsection{RichardsBoxModel} 
+\input{ModelDescriptions/richardsboxmodel}
+
+\subsubsection{TwoPBoxModel} 
+\input{ModelDescriptions/2pboxmodel}
+
+\subsubsection{TwoPNIBoxModel} 
+\input{ModelDescriptions/2pniboxmodel}
+
+\subsubsection{TwoPTwoCBoxModel} 
+\input{ModelDescriptions/2p2cboxmodel}
+
+\subsubsection{TwoPTwoCNIBoxModel} 
+\input{ModelDescriptions/2p2cniboxmodel}
+
+
+\subsection{Decoupled models} 
+
+