% This file was created with JabRef 2.6. % Encoding: UTF-8 @BOOK{DEBOOR1978, title = {A Practical Guide to Splines}, publisher = {Springer}, year = {1978}, author = {C. {de Boor}}, edition = {1} } @ARTICLE{VANGENUCHTEN1980, author = {M. T. {van Genuchten}}, title = {A Closed-form Equation for Predicting the Hydraulic Conductivity of Unsaturated Soils}, journal = {Journal of the Soil Science Society of America}, year = {1980}, pages = {892--898}, number = {44}, key = {Gen80} } @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} } @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}, month = {March}, year = {2006}, note = {2006/05} } @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: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} } @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: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} } @ARTICLE{AGRAWAL2001, author = {K. Agrawal and P. N. Loezos and M. Syamlal and S. Sundaresan}, title = {The Role of Meso-Scale Structures in Rapid Gas-Solid Flows}, journal = {Journal of Fluid Mechanics}, year = {2001}, pages = {151--185}, number = {445} } @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} } @BOOK{ANDERSON-CFD-95, title = {Computational Fluid Mechanics}, publisher = {McGraw-Hill}, year = {1995}, author = {J. D. Anderson}, edition = {1}, subtitle = {The Basics with Applications} } @BOOK{ARFKEN2005, title = {Mathematical Methods for Physicists}, publisher = {Academic Press}, year = {2005}, author = {G. B. Arfken and H. J. Weber}, edition = {6} } @BOOK{A3:aziz:1979, title = {Petroleum Reservoir Simulation}, publisher = {Applied Science Publishers, London}, year = {1979}, author = {Aziz, K. and Settari, A.} } @MISC{GSIMSKRIPT, author = {P. Bastian}, title = {Grundlagen der Modellbildung und Simulation}, howpublished = {University of Stuttgart, Lecture Notes}, year = {2007} } @MISC{NUMPDESKRIPT, author = {P. Bastian}, title = {Numerische L\"{o}sung partieller Differentialgleichungen}, howpublished = {University of Stutt\-gart, Lecture Notes}, year = {2007} } @BOOK{BASTIAN1999, title = {Numerical Computation of Multiphase Flows in Porous Media}, publisher = {Habilitationsschrift, University of Kiel}, year = {1999}, author = {P. Bastian}, edition = {1} } @INBOOK{A3:bastian:1997, pages = {27--40}, title = {UG: A flexible software toolbox for solving partial differential equations.}, publisher = {Springer Verlag}, year = {1997}, author = {Bastian, P. and Birken, K. and Lang, S. and Johannsen, K. and Neuss, N. and Rentz-Reichert, H. and Wieners, C.}, volume = {1}, series = {Computing and Visualization in Science} } @ARTICLE{BASTIAN2008, author = {P. Bastian and M. Blatt and A. Dedner and C. Engwer and R. Kl\"{o}fkorn and R. Kornhuber and M. Ohlberger and O. Sander}, title = {A Generic Grid Interface For Parallel and Adaptive Scientific Computing. Part II: implementation and tests in {DUNE}}, journal = {Computing}, year = {2008}, volume = {82}, pages = {121--138}, number = {2} } @INBOOK{A3:bastian:2000, pages = {52--71}, title = {Numerical Simulation of Multiphase Flow in Fractured Porous Media.}, publisher = {Springer Verlag}, year = {2000}, author = {Bastian, P. and Chen, Z. and Ewing, R. E. and Helmig, R. and Jakobs H. and Reichenberger V.}, series = {Lecture Notes in Physics, Chen, Ewing and Shi (eds.)} } @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{BASTIAN-HELMIG1999, author = {P. Bastian and R. Helmig}, 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}, volume = {23}, pages = {199--216}, number = {3} } @ARTICLE{BEAUCHEMIN1995, author = {S. S. Beauchemin and J. L. Barron}, title = {The computation of optical flow}, journal = {ACM Computing Surveys}, year = {1995}, volume = {27}, pages = {433--466}, number = {3} } @ARTICLE{BELIAEV2001, author = {A. Y. Beliaev and S. M. Hassanizadeh}, title = {A Theoretical Model of Hysteresis and Dynamic Effects in the Capillary Relation for Two-phase Flow in Porous Media}, journal = { Transport in Porous Media}, year = {2001}, volume = {43}, pages = {487--510}, number = {3} } @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: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} } @BOOK{BRONSTEIN-93, title = {Taschenbuch der Mathematik}, publisher = {Verlag Harri Deutsch}, year = {1993}, author = {I.N. Bronstein and K.A. Semendjajew and G. Musiol and H. M\"{u}hlig}, edition = {6} } @TECHREPORT{BROOKS1964, author = {R. H. Brooks and A. T. Corey.}, title = {Hydraulic properties of porous media}, institution = {Colorado State University, Fort Collins}, year = {1964}, note = {Hydrology Paper No. 3, 27 pp.} } @ARTICLE{BURDINE1953, author = {N.T. Burdine}, title = {Relative permeability calculations from pore size distribution data}, journal = {Transactions of the American Institute of Mining and Metallurgical Engineers}, year = {1953}, volume = {198}, pages = {71--78} } @INPROCEEDINGS{BURRI2006, author = {A. Burri and A. Dedner and R. Kl\"{o}fkorn and M. Ohlberger}, title = {An efficient implementation of an adaptive and parallel grid in DUNE.}, booktitle = {Computational Science and High Performance Computing II}, year = {2006}, volume = {91}, pages = {67--82}, 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}, publisher = {University of Stuttgart}, year = {2007}, author = {H. Class}, edition = {1} } @BOOK{A3:class:2001, title = {Theorie und numerische Modellierung nichtisothermer Mehrphasenprozesse in NAPL-kontaminierten por\"osen Medien}, publisher = {Institut f\"ur Wasserbau, Universit\"at Stuttgart}, year = {2001}, author = {Class, Holger}, volume = {105}, series = {Mitteilungsheft} } @PHDTHESIS{CLASS2001, author = {H. Class}, title = {Theorie und numerische Modellierung nichtisothermer Mehrphasenprozesse in NAPL-kontaminierten por\"{o}sen Medien.}, school = {University of Stuttgart}, year = {2001} } @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} } @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: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} } @MISC{DARCY1856, author = {H. Darcy}, title = {Les Fontaines publiques de la ville de Dijon}, howpublished = {Paris}, year = {1856}, key = {Dar1856} } @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} } @ARTICLE{DITTERICH1996, author = {E. Ditterich}, title = {Wirbel um den Bodenschutz}, journal = {Umweltmagazin}, year = {1996}, pages = {46--48}, number = {4} } @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} } @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} } @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} } @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{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 Flux Function}, journal = {SIAM J.\ Math.\ Anal.}, year = {1992}, volume = {23}, pages = {635-648}, number = {3} } @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}, year = {1991}, pages = {488-502}, address = {Uppsala} } @TECHREPORT{subgrid, author = {C. Gr\"aser and O. Sander}, title = {The dune-subgrid Module and Some Applications}, year = {2009}, note = {Matheon 566} } @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} } @BOOK{GRIEBEL2003, title = {Numerische Simulation in der Molek\"{u}ldynamik}, publisher = {Springer}, year = {2003}, author = {M. Griebel and S. Knapek and G. Zumbusch and A. Caglar}, edition = {1} } @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} } @ARTICLE{HASSANIZADEH1987, author = {S. M. Hassanizadeh and W. G. Gray}, title = {High velocity flow in porous media}, journal = {Transport in Porous Media}, year = {1987} } @BOOK{A3:helmig:1997, title = {Multiphase Flow and Transport Processes in the Subsurface --- A Contribution to the Modeling of Hydrosystems}, publisher = {Springer Verlag}, year = {1997}, author = {Helmig, R.} } @BOOK{HELMIG1997, title = {Multiphase Flow and Transport Processes in the Subsurface: A Contribution to the Modeling of Hydrosystems}, publisher = {Springer}, year = {1997}, author = {R. Helmig}, edition = {1} } @BOOK{HYDROSKRIPT, title = {Grundlagen der Hydromechanik}, publisher = {Shaker}, year = {2005}, author = {R. Helmig and H. Class}, edition = {1} } @INBOOK{A3:sfb404:2003, chapter = {A3}, pages = {69--98}, title = {Arbeits- und Ergebnisbericht 2003}, publisher = {SFB 404}, year = {2003}, author = {Helmig, R. and Class, H. and Jakobs, H. and Bierlinski, A. and \"Olmann, U.}, month = {May} } @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}, year = {2006}, editor = {Di Bucchianico, A. and Mattheij, R. M. M. and Peletier, M. A.}, pages = {449--488}, address = {Eindhoven University of Technology}, month = {6}, publisher = {Springer-Verlag}, note = {3-540-28072-3}, type = {Plenary lecture} } @PHDTHESIS{HUBER2000, author = {R. U. Huber}, title = {Compositional Multiphase Flow and Transport in Heterogeneous Porous Media}, school = {University of Stuttgart}, year = {2000} } @ARTICLE{KALUARACHCHI1992, author = {J. J. Kaluarachchi and J. C. Parker}, title = {Multiphase Flow with a Simplified Model for Oil Entrapment}, journal = {Transport in Porous Media}, year = {1992}, volume = {7}, pages = {1--14}, number = {1} } @BOOK{KARNIADAKIS2005, title = {Microflows and Nanoflows: Fundamentals and Simulation}, publisher = {Springer}, year = {2005}, author = {G. Karniadakis and A. Be{\c c}k\"{o}k and N. R. Aluru}, edition = {1} } @ARTICLE{A3:King:1996, author = {King, P. R.}, title = {Upscaling Permeability: Error Analysis for Renormalisation}, journal = {Transport in Porous Media}, year = {1996}, volume = {23}, pages = {337--354} } @ARTICLE{KOOL1987, author = {J. Kool and J. C. Parker and M. T. van Genuchten}, title = {Parameter Estimation for Unsaturated Flow and Transport Models - A Review}, journal = {Journal of Hydrology}, year = {1987}, volume = {91}, pages = {255--293} } @BOOK{A3:lancaster:1969, title = {Theory of Matrices}, publisher = {Academic Press, Inc.\ (London) Ltd.}, year = {1969}, author = {Lancaster, Peter} } @ARTICLE{LAND1968, author = {C. S. Land}, title = {Calculation of Imbibition Relative Permeability for Two- and Three-Phase Flow from Rock Properties}, journal = {Journal of the Society of Petroleum Engineers}, year = {1968}, volume = {8}, pages = {149--156}, number = {2} } @ARTICLE{LENHARD1987, author = {R. J. Lenhard and J. C. Parker}, title = {A Model for Hysteretic Constitutive Relations Governing Multiphase Flow. 2. Permeability-Saturation Relations}, journal = {Water Resources Research}, year = {1987}, volume = {23}, pages = {2197--2206}, number = {12} } @ARTICLE{LHHW2011, author = {A. Lauser and C. Hager and R. Helmig and B. Wohlmuth}, title = {A new approach for phase transitions in miscible multi-phase flow in porous media}, journal = {Advances in Water Resources}, year = {2011}, pages = {957--966}, volume = {34}, number = {8} } @BOOK{A3:leveque:1998, title = {Numerical Methods for Conservation Laws}, publisher = {Birkh\"auser Verlag, Basel Boston, Berlin}, year = {1998}, author = {LeVeque, Randall J.} } @BOOK{LEVEQUE1992, title = {Numerical Methods for Conservation Laws}, publisher = {Birkh\"{a}user}, year = {1992}, author = {R. J. LeVeque}, edition = {2} } @BOOK{A3:looney:2000, title = {Vadose Zone}, publisher = {Batelle Press, Columbus OH}, year = {2000}, author = {Looney, B. B. and Falta, R. W.} } @BOOK{MEISTER2008, title = {Numerik linearer Gleichungssysteme: Eine Einf\"{u}hrung in moderne Verfahren.}, publisher = {Vieweg}, year = {2008}, author = {A. Meister}, edition = {3} } @BOOK{MEYBERG2000, title = {H\"{o}here Mathematik 1}, publisher = {Springer}, year = {2001}, author = {K. Meyberg and P. Vachenauer}, edition = {6} } @ARTICLE{MUALEM1976, author = {Y. Mualem}, title = {A new model for predicting the hydraulic conductivity of unsaturated porous media}, journal = {Water Resources Research}, year = {1976}, volume = {12}, pages = {513--522}, number = {3} } @ARTICLE{MUCCINO1998, author = {J. C. Muccino and W. G. G. Gray and L. A. Ferrand}, title = {Toward an Improved Understanding of Multiphase Flow in Porous Media}, journal = {Reviews of Geophysics}, year = {1998}, volume = {36}, pages = {401--422}, number = {3} } @BOOK{MUSKAT1937, title = {The Flow of Homogeneous Fluids Through Porous Media}, publisher = {McGraw-Hill}, year = {1937}, author = {M. Muskat}, edition = {1} } @PHDTHESIS{DeNEFF2000, author = {de Neef, M. J.}, title = {Modeling Capillary Effects in Heterogeneous Porous Media}, school = {Technical University Delft}, year = {2000} } @ARTICLE{NIESSNER2005, author = {J. Niessner and R. Helmig and H. Jakobs and J. Roberts}, title = {Interface Condition and Exact Linearization in the Newton Iterations for Two-phase Flow in Heterogeneous Porous Media}, journal = {Advances in Water Resources}, year = {2005}, volume = {28}, pages = {671--687}, number = {7} } @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} } @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} } @BOOK{ORTEGA2000, title = {Iterative Solution of Nonlinear Equations in Several Variables}, publisher = {Society for Industrial and Applied Mathematics}, year = {2000}, author = {J. M. Ortega and W. C. Rheinboldt}, address = {Philadelphia, PA, USA}, edition = {1} } @PHDTHESIS{PAPAFOTIOU2008, author = {A. Papafotiou}, title = {Numerical investigations of the role of hysteresis in heterogeneous two-phase flow systems}, school = {University of Stuttgart}, year = {2008} } @ARTICLE{PARKER1987, author = {J. C. Parker and R. J. Lenhard and T. Kuppusamy}, title = {A Parametric Model for Constitutive Properties Governing Multiphase Flow in Porous Media}, journal = {Water Resources Research}, year = {1987}, volume = {23}, pages = {618--624}, number = {4} } @BOOK{PRANTL-02, title = {F\"{u}hrer durch die Str\"{o}mungslehre}, publisher = {Vieweg}, year = {2002}, author = {L. Prantl and H. Oertel}, edition = {11} } @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 = {\url{http://www.iapws.org/}}, year = {2003} } @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}, howpublished = {\url{http://www.iapws.org/IF97-Rev.pdf}}, year = {1997} } @BOOK{reid1987, title = {The Properties of Gases and Liquids}, publisher = {McGraw-Hill Inc.}, year = {1987}, author = {Reid, R.C. and Prausnitz, J.M. and Poling, B.E.} } @ARTICLE{Pardiso, author = {Olaf Schenk and Klaus G\"artner}, title = {Solving unsymmetric sparse systems of linear equations with {PARDISO}}, journal = {Future Generation Computer Systems}, year = {2004}, volume = {20}, pages = {475 - 487}, number = {3}, doi = {DOI: 10.1016/j.future.2003.07.011}, issn = {0167-739X}, keywords = {Computational sciences}, url = {\url{http://www.sciencedirect.com/science/article/B6V06-49NXY7J-F/2/e8260e5d8f19639019cddea4776c024c}} } @PHDTHESIS{SHETA1999, author = {H. Sheta}, title = {Simulation von Mehrphasenvorg\"{a}engen in por\"{o}sen Medien unter Einbeziehung von Hystereseeffekten}, school = {University of Stuttgart}, year = {1999} } @ARTICLE{SPAETH1969, author = {H. Sp{\"{a}}th}, title = {Exponential Spline Interpolation}, journal = {Computing}, year = {1969}, volume = {4}, pages = {225--233}, number = {3}, key = {Spa69} } @ARTICLE{SPE5, author = {J. E. Killough and C. A. Kossack}, title = {Fifth Comparative Solution Project: Evaluation of Miscible Flood Simulators}, journal = {Society of Petroleum Engineers}, year = {1987}, volume = {SPE 16000} } @BOOK{A3:Stauffer:1984, title = {Introduction to Percolation Theory}, publisher = {Taylor \& Francis}, year = {1994}, author = {Stauffer, F. and Aharnony, A.} } @BOOK{SAENDIG-05, title = {Mathematische Methoden in der Kontinuumsmechanik}, publisher = {Institut f\"{u}r Angewandte Analysis und Numerische Simulation}, year = {2005}, author = {A.-M. S{\"{a}}ndig}, edition = {1}, key = {Sae05} } @ARTICLE{TENG2000, author = {H. Teng and T.S. Zhao}, title = {An extension of Darcy's law to non-Stokes flow in porous media}, journal = {Chemical engineering science}, year = {2000}, volume = {55}, pages = {2727--2735}, number = {14} } @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}, year = {1996}, volume = {183}, pages = {ix--xxxii} } @BOOK{A3:whitaker:1999, title = {The Method of Volume Averaging}, publisher = {Kluwer Academic Publishers}, year = {1999}, author = {Whitaker, Stephen}, volume = {13}, series = {Theory and Applications of Transport in Porous Media}, address = {Dordrecht} } @ARTICLE{WHITAKER1985, author = {S. Whitaker}, title = {Flow in porous media I: A theoretical derivation of Darcy's law}, journal = {Transport in Porous Media}, year = {1985}, volume = {1}, pages = {3--25}, number = {1} } @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} } @BOOK{GLADROW2000, title = {Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction}, publisher = {Springer}, year = {2000}, author = {D. A. 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