Ivar Aavatsmark. An introduction to multipoint flux approximations for quadrilateral grids. Computational Geosciences, 6:405–432, 2002.
M. Acosta, C. Merten, G. Eigenberger, H. Class, R. Helmig, B. Thoben, and H. Müller-Steinhagen. Modeling non-isothermal two-phase multicomponent flow in the cathode of PEM fuel cells. Journal of Power Sources, page in print, 2006.
J. J. Adams and S. Bachu. Equations of state for basin geofluids: algorithm review and intercomparison for brines. Geofluids, 2(4):257–271, 2002.
G. A. Adebiyi. Formulations for the thermodynamic properties of pure substances. In ASME 2003 International Mechanical Engineering Congress and Exposition, pages 183–188. American Society of Mechanical Engineers, 2003.
H.T. Aichlmayr and F.A. Kulacki. The effective thermal conductivity of saturated porous media, pages 377–460. Elsevier, 2006.
Elvio Alanis, Graciela Romero, and Carlos C. Martinez. Interferometric measurement of diffusion coefficients through a scanning laser beam. Optical Engineering, 39(3):744 – 750, 2000.
Martin Alkämper, Andreas Dedner, Robert Klöfkorn, and Martin Nolte. The DUNE-ALUGrid Module. Archive of Numerical Software, 4(1):1–28, 2016.
D. Ambrose and J. Walton. Vapour pressures up to their critical temperatures of normal alkanes and 1-alkanols. Pure and Applied Chemistry, 61(8):1395–1403, 1989.
ANSYS, Inc. ANSYS FLUENT 12.0 - User's Guide. ANSYS, Inc., 12.0 edition, 2009.
B. S. Baldwin and H. Lomax. Thin Layer Approximation and Algebraic Model for Seperated Turbulent Flows. ACM Trans Math Software, 78–257:1–9, 1978.
P. Bastian, M. Blatt, A. Dedner, C. Engwer, R. Klöfkorn, R. Kornhuber, M. Ohlberger, and O. Sander. A Generic Grid Interface For Parallel and Adaptive Scientific Computing. Part II: implementation and tests in DUNE. Computing, 82(2):121–138, 2008.
M. Batzle and Z. Wang. Seismic properties of pore fluids. Geophysics, 57(11):1396–1408, 1992.
Jacob Bear. Dynamics of Fluids in Porous Media. Dover Civil and Mechanical Engineering Series. Dover, 1972.
S. G. S. Beirão, A. P. C. Ribeiro, M. J. V. Lourenço, F. J. V. Santos, and C. A. Nieto de Castro. Thermal conductivity of humid air. International Journal of Thermophysics, 33(8):1686–1703, Sep 2012.
Michele Benzi, Gene H. Golub, and Jörg Liesen. Numerical solution of saddle point problems. Acta Numerica, 14:1–137, 2005.
A. F. Birch and H. Clark. The thermal conductivity of rocks and its dependence upon temperature and composition. American Journal of Science, 238(8):529–558, 1940.
R Brooks and T Corey. Hydrau uc properties of porous media. Hydrology Papers, Colorado State University, 24:37, 1964.
A. Burri, A. Dedner, R. Klöfkorn, and M. Ohlberger. An efficient implementation of an adaptive and parallel grid in DUNE. In Computational Science and High Performance Computing II, volume 91, pages 67–82. Springer, 2006.
Philip C. Carman. Fluid flow through granular beds. Transactions, Institution of Chemical Engineers, 15:150–166, 1937. reprinted in Chemical Engineering Research and Design, 75:S32–S48, 1997.
Kuei-Yuan Chien. Predictions of Channel and Boundary-Layer Flows with a Low-Reynolds-Number Turbulence Model. AIAA Journal, 20(1):33–38, 1982.
H. Class and R. Helmig. Numerical Simulation of Nonisothermal Multiphase Multicomponent Processes in Porous Media – 2. Applications for the Injection of Steam and Air. Advances in Water Resources, 25:551–564, 2002.
Holger Class. Theorie und numerische Modellierung nichtisothermer Mehrphasenprozesse in NAPL-kontaminierten porösen Medien. PhD thesis, Technische Universität Braunschweig, 2001. doi 10.18419/opus-223.
H. Class. Models for Non-Isothermal Compositional Gas-Liquid Flow and Transport in Porous Media. University of Stuttgart, 1 edition, 2007.
J. R. Cooper and R. B. Dooley. Release of the IAPWS formulation 2008 for the viscosity of ordinary water substance, 2008.
T. E. Daubert and R. P. Danner. Physical and Thermodynamic Properties of Pure Chemicals: Design institute for physical property data, American institute of chemical engineers. vp. Hemisphere Publishing Corporation, 1989.
M. Delshad and G. A. Pope. Comparison of the three-phase oil relative permeability models. Transport in Porous Media, 4(1):59–83, 1989.
Z. Duan and R. Sun. An improved model calculating CO 2 solubility in pure water and aqueous NaCl solutions from 273 to 533 K and from 0 to 2000 bar. Chemical geology, 193(3):257–271, 2003.
R. T. Ferrell and D. M. Himmelblau. Diffusion coefficients of nitrogen and oxygen in water. Journal of chemical and engineering data, 12(1):111–115, 1967.
F. Fichot, F. Duval, N. Trégourès, C. Béchaud, and M. Quintard. The impact of thermal non-equilibrium and large-scale 2d/3d effects on debris bed reflooding and coolability. Nuclear Engineering and Design, 236(19):2144–2163, 2006.
Stefan Finsterle. Inverse Modellierung zur Bestimmung hydrogeologischer Parameter eines Zweiphasensystems. VAW, 1993.
Flekkøy, EG and Oxaal, U and Feder, J and Jøssang, T. Hydrodynamic dispersion at stagnation points: Simulations and experiments. Physical Review E, 52(5):4952, 1995.
IAPWS (The International Association for the Properties of Water and Steam). Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam. http://www.iapws.org/IF97-Rev.pdf, 1997.
C. Geuzaine and J. F. Remacle. Gmsh: A 3-D finite element mesh generator with built-in pre-and post-processing facilities. International Journal for Numerical Methods in Engineering, 79(11):1309–1331, 2009.
J. Gmehling, U. Onken, and H. W. Schulte. Vapor-liquid equilibriums for the binary systems diethyl ether-halothane (1, 1, 1-trifluoro-2-bromo-2-chloroethane), halothane-methanol, and diethyl ether-methanol. Journal of Chemical and Engineering Data, 25(1):29–32, 1980.
Gang Han and Maurice B Dusseault. Description of fluid flow around a wellbore with stress-dependent porosity and permeability. Journal of Petroleum science and engineering, 40(1-2):1–16, 2003.
O. T. Hanna, O. C. Sandell, and P. R. Mazet. Heat and Mass Transfer in Turbulent Flow Under Conditions of Drag Reduction. AIChE Journal, 27(4):693–697, 1981.
Francis H. Harlow and J. Eddie Welch. Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Physics of Fluids, 8(12):2182, 1965.
Rainer Helmig and others. Multiphase flow and transport processes in the subsurface: a contribution to the modeling of hydrosystems.. Springer-Verlag, 1997.
R. Helmig. Multiphase Flow and Transport Processes in the Subsurface: A Contribution to the Modeling of Hydrosystems. Springer, 1 edition, 1997.
Nguyenho Ho, Sarah D. Olson, and Homer F. Walker. Accelerating the uzawa algorithm. SIAM Journal on Scientific Computing, 39(5):S461–S476, 2017.
B. R. Hollis. Real-Gas Flow Properties for NASA Langley Research Center Aerothermodynamic Facilities Complex Wind Tunnels. 1996.
IAPWS. Release on the IAPWS Formulation 2011 for the Thermal Conductivity of Ordinary Water Substance. Technical Report IAPWS R15-11, The International Association for the Properties of Water and Steam, Plzeň, Czech Republic, 2011.
J. Gudbjerg and O. Trötschler and A. Färber and T.O. Sonnenborg and K.H. Jensen. On spurious water flow during numerical simulation of steam injection into water-saturated soil. Journal of Contaminant Hydrology, 75(3–4):297 – 318, 2004.
V. Joekar-Niasar, S. M. Hassanizadeh, and A. Leijnse. Insights into the relationships among capillary pressure, saturation, interfacial area and relative permeability using pore-network modeling. Transport in Porous Media, 74(2):201–219, 2008.
O. Johansen. Thermal conductivity of soils. Technical report, DTIC Document, 1977.
W. M. Kays, M. E. Crawford, and B. Weigand. Convective heat and mass transfer. McGraw-Hill Higher Education, 4 edition, 2005.
J. E. Killough and C. A. Kossack. Fifth Comparative Solution Project: Evaluation of Miscible Flood Simulators. Society of Petroleum Engineers, SPE 16000, 1987.
R. Krishna and J. A. Wesselingh. The maxwell-stefan approach to mass transfer. Chemical Engineering Science, 52(6):861–911, 1997.
A Lashanizadegan, Sh Ayatollahi, and M Homayoni. Simultaneous heat and fluid flow in porous media: case study: steam injection for tertiary oil recovery. Chemical Engineering Communications, 195(5):521–535, 2008.
B.E. Launder and B.I. Sharma. Application of the energy-dissipation model of turbulence to the calculation of flow near a spinning disc. Letters in Heat and Mass Transfer, 1(2):131 – 137, 1974.
E. W. Lemmon and R. T. Jacobsen. Viscosity and Thermal Conductivity Equations for Nitrogen, Oxygen, Argon, and Air. International Journal of Thermophysics, 25(1):21–69, 2004.
W. J. Lyman, W. F. Reehl, and D. H. Rosenblatt. Handbook of chemical property estimation methods: environmental behavior of organic compounds. 1990.
F. R. Menter. Two-equation eddy-viscosity turbulence models for engineering applications. AIAA Journal, 32(8):1598–1605, 1994.
E. E. Michaelides. Thermodynamic properties of geothermal fluids. Trans.-Geotherm. Resour. Counc.;(United States), 5(CONF-811015-), 1981.
R. J. Millington and J. P. Quirk. Permeability of porous solids. Trans. Faraday Soc., 57:1200–1207, 1961.
D. A. Nield and A. Bejan. Convection with Change of Phase. Convection in Porous Media, pages 403–452, 2006.
Thermophysical Properties of Fluid Systems: http://webbook.nist.gov/chemistry/fluid/.
K. P. Nuske. Determination of interfacial area-capillary pressure-saturation relationships for a single fracture. Master's thesis, Universität Stuttgart, 2009.
Philipp Nuske. Beyond local equilibrium : relaxing local equilibrium assumptions in multiphase flow in porous media. PhD thesis, Universität Stuttgart, Holzgartenstr. 16, 70174 Stuttgart, 2014.
C. J. Ochs, F. Sittner, R. Ugas-Carrión, M. Yekehtaz, and W. Ensinger. Structural and electrochemical characterization of zirconium and silicon based sol-gel coatings for corrosion protection. Current Topics in Electrochemistry, 13:59–65, 2008.
Herbert Oertel. Prandtl - Führer durch die Strömungslehre: Grundlagen und Phänomene. Springer Vieweg, Wiesbaden, 13 edition, 2012.
Raymond W Ogden. Non-linear elastic deformations. Courier Corporation, 1997.
L. I. Oliveira and A. H. Demond. Estimation of primary drainage three-phase relative permeability for organic liquid transport in the vadose zone. Journal of Contaminant Hydrology, 66(3):261–285, 2003.
Huseyin Ozbek and Sidney L. Phillips. Thermal Conductivity of Aqueous Sodium Chloride Solutions from 20 to 330 °C. J. Chem. Eng. Data, 8(25):263–267, 1980.
C. Palliser and R. McKibbin. A model for deep geothermal brines, III: Thermodynamic properties–enthalpy and viscosity. Transport in Porous Media, 33(1-2):155–171, 1998.
V. C. Patel, W. Rodi, and G. Scheuerer. Turbulence models for near-wall and low Reynolds number flows - A review. AIAA Journal, 23(9):1308–1319, 1985.
Edzer J. Pebesma and Cees G. Wesseling. Gstat: a program for geostatistical modelling, prediction and simulation. Computers & Geosciences, 24(1):17–31, 1998.
D.-Y. Peng and D. B. Robinson. A new two-constant equation of state. Industrial & Engineering Chemistry Fundamentals, 15(1):59–64, 1976.
B. E. Poling, J. M. Prausnitz, and J. P. O'Connell. The properties of gases and liquids, volume 5. McGraw-Hill New York, 2001.
R. Prydz. An Improved Oxygen Vapor Pressure Representation. Metrologia, 8(1):1, 1972.
Joseph A. Rard and Donald G. Miller. The mutual diffusion coefficients of Na2SO4−H2O and MgSO4−H2O at 25°C from Rayleigh interferometry. Journal of Solution Chemistry, 8(10), 1979.
R. C. Reid, J.M. Prausnitz, and B. E. Poling. The Properties of Gases and Liquids. McGraw-Hill Inc., 1987.
R. Sander. Compilation of Henry's law constants for inorganic and organic species of potential importance in environmental chemistry, 1999.
A. E. Scheidegger. General theory of dispersion in porous media. Journal of Geophysical Research (1896-1977), 66(10):3273–3278, 1961.
Martin Schneider and Timo Koch. Stable and locally mass- and momentum-conservative control-volume finite-element schemes for the Stokes problem. Computer Methods in Applied Mechanics and Engineering, 420:116723, February 2024.
C. Howard Shomate. A method for evaluating and correlating thermodynamic data. The Journal of Physical Chemistry, 58(4):368–372, Apr 1954.
W. H. Somerton, J. A. Keese, S. L. Chu, and others. Thermal behavior of unconsolidated oil sands. Society of Petroleum Engineers Journal, 14(05):513–521, 1974.
P. R. Spalart and S. R. Allmaras. A one-equation turbulence model for aerodynamic flows. In Aerospace Sciences Meetings, pages –. American Institute of Aeronautics and Astronautics, 1992.
R. Span and W. Wagner. A new equation of state for carbon dioxide covering the fluid region from the triple-point temperature to 1100 K at pressures up to 800 MPa. Journal of physical and chemical reference data, 25(6):1509–1596, 1996.
R. Span, E. W. Lemmon, R. T. Jacobsen, W. Wagner, and A. Yokozeki. A reference equation of state for the thermodynamic properties of nitrogen for temperatures from 63.151 to 1000 K and pressures to 2200 MPa. Journal of Physical and Chemical Reference Data, 29(6):1361–1433, 2000.
N. Spycher and K. Pruess. CO 2-H 2 O mixtures in the geological sequestration of CO 2. II. Partitioning in chloride brines at 12–100 C and up to 600 bar. Geochimica et Cosmochimica Acta, 69(13):3309–3320, 2005.
N. Spycher, K. Pruess, and J. Ennis-King. CO_2-H_2O mixtures in the geological sequestration of CO_2. I. Assessment and calculation of mutual solubilities from 12 to 100 C and up to 600 bar. Geochimica et cosmochimica acta, 67(16):3015–3031, 2003.
Ross Taylor and Rajamani Krishna. Multicomponent mass transfer, volume 2. John Wiley & Sons, 1993.
G. Tchobanoglous and E. D. Schroeder. Water Quality: Characteristics. Modeling, Modification: Addison-Wesley, 1985.
E. R. van Driest. On Turbulent Flow Near a Wall. AIAA Journal, 23(11):1007–1011, 1956.
Natan B Vargaftik. Tables on the thermophysical properties of liquids and gases in normal and dissociated states. 1975.
Venturoli, Maddalena and Boek, Edo S. Two-dimensional lattice-Boltzmann simulations of single phase flow in a pseudo two-dimensional micromodel. Physica A: Statistical Mechanics and its Applications, 362(1):23–29,
Henk Versteeg and Weeratunge Malalasekra. An Introduction to Computational Fluid Dynamics. Pearson Education, Harlow, 2 edition, 2009.
W. R. Walker, J. D. Sabey, and D. R. Hampton. Studies of heat transfer and water migration in soils. Final report. Technical report, Colorado State Univ., Fort Collins (USA). Solar Energy Applications Lab., 1981.
K. Watanabe and R. B. Dooley. Guideline on the Henry's Constant and Vapor-Liquid Distribution Constant for Gases in H2O and D2O at High Temperatures. International Association for the Properties of Water and Steam, 2004.
David C. Wilcox. Formulation of the k-ω Turbulence Model Revisited. AIAA Journal, 46(11):2823–2838, 2008.
P. A. Witherspoon and D. N. Saraf. Diffusion of Methane, Ethane, Propane, and n-Butane in Water from 25 to 43°. The Journal of Physical Chemistry, 69(11):3752–3755, 1965.
B. Xu, K. Nagashima, J. M. DeSimone, and C. S. Johnson. Diffusion of water in liquid and supercritical carbon dioxide: an NMR study. The Journal of Physical Chemistry A, 107(1):1–3, 2003.
V. D. Yusufova, R. I. Pepinov, V. A. Nikolaev, and G. M. Guseinov. Thermal Conductivity of Aqueous Solutions of NaCl. translated from Inzhenerno-Fizicheskii Zhurnal, 8(4):600–605, 1975.