Hybrid Multiscale Finite Volume method for two-phase flow in porous media

Journal of Computational Physics

Volumn 250, Issue , 2013, Pages 293-307

  Tomin, Pavel ^a   Lunati, Ivan ^a  

^a UNIVERSITY OF LAUSANNE   (Switzerland)

Author keywords

Hybrid multiscale methods; Multi physics modeling; Multiscale Finite Volume method; Volume of Fluid method

Indexed keywords

FINITE VOLUME METHOD; INTERPOLATION; MULTIPHYSICS; NUMERICAL METHODS; POROUS MATERIALS; TWO PHASE FLOW; VISCOUS FLOW;

FLOWS IN POROUS MEDIA; FLUID FLUID INTERFACES; HYBRID MULTISCALE METHOD; MULTIPHYSICS MODEL; MULTISCALE FINITE VOLUME METHOD; MULTISCALE METHOD; NAVIER-STOKES EQUATION; PORE SCALE; TWO PHASES FLOW; VOLUME-OF-FLUID METHOD;

NAVIER STOKES EQUATIONS;

EID: 84879237829     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2013.05.019     Document Type: Article

References (27)

1. Afkhami S., Zaleski S., Bussmann M. A mesh-dependent model for applying dynamic contact angles to VOF simulations. Journal of Computational Physics 2009, 228(15):5370-5389.
2. S. Alyaev, E. Keilegavlen, J.M. Nordbotten, Analysis of control volume heterogeneous multiscale methods for single phase flow in porous media, Multiscale Modeling and Simulation, 2013 (submitted for publication).
3. Battiato I., Tartakovsky D.M., Tartakovsky A.M., Scheibe T. On breakdown of macroscopic models of mixing-controlled heterogeneous reactions in porous media. Advances in Water Resources 2009, 32(11):1664-1673.
4. Battiato I., Tartakovsky D.M., Tartakovsky A.M., Scheibe T. Hybrid models of reactive transport in porous and fractured media. Advances in Water Resources 2011, 34(9):1140-1150.
5. Birovljev A., Måløy K.J., Feder J., Jøssand T. Scaling structure of tracer dispersion fronts in porous media. Physical Review E 1994, 49(6):5431-5437.
6. Bonfigli G., Jenny P. An efficient multi-scale Poisson solver for the incompressible Navier-Stokes equations with immersed boundaries. Journal of Computational Physics 2009, 228(12):4568-4587.
7. Brackbill J.U., Kothe D.B., Zemach C. A continuum method for modeling surface tension. Journal of Computational Physics 1992, 100(2):335-354.
8. Darcy H. Les Fontaines Publiques de la Ville de Dijon 1856, Dalmont, Paris.
9. Eckhardt B., Buehrle J. Time-dependent effects in high viscosity fluid dynamics. The European Physical Journal Special Topics 2008, 157(1):135-148.
10. Ferrari A., Lunati I. Direct numerical simulations of interface dynamics to link capillary pressure and total surface energy. Advances in Water Resources 2013, 57:19-31.
11. Hajibeygi H., Jenny P. Multiscale finite-volume method for parabolic problems arising from compressible multiphase flow in porous media. Journal of Computational Physics 2009, 228(14):5129-5147.
12. Hirt C.W., Nichols B.D. Volume of fluid (VOF) method for the dynamics of free boundaries. Journal of Computational Physics 1981, 39(1):201-225.
13. Jenny P., Lee S.H., Tchelepi H.A. Multi-scale finite-volume method for elliptic problems in subsurface flow simulation. Journal of Computational Physics 2003, 187(1):47-67.
14. Jenny P., Lee S.H., Tchelepi H.A. Adaptive multiscale finite-volume method for multi-phase flow and transport in porous media. Multiscale Modeling and Simulation 2005, 3(1):50-64.
15. Jenny P., Lunati I. Modeling complex wells with the multi-scale finite-volume method. Journal of Computational Physics 2009, 228(3):687-702.
16. Künze R., Lunati I. An adaptive multiscale method for density-driven instabilities. Journal of Computational Physics 2012, 231(17):5557-5570.
17. Lafaurie B., Nardone C., Scardovelli R., Zaleski S., Zanetti G. Modelling merging and fragmentation in multiphase flows with SURFER. Journal of Computational Physics 1994, 113(1):134-147.
18. Lee S.H., Zhou H., Tchelepi H.A. Adaptive multiscale finite-volume method for nonlinear multiphase transport in heterogeneous formations. Journal of Computational Physics 2009, 228(24):9036-9058.
19. I. Lunati, P. Jenny, The multiscale finite volume method: a flexible tool to model physically complex flow in porous media, in: Proceedings of ECMOR X, Amsterdam, The Netherlands, September 4-7, 2006.
20. Lunati I., Jenny P. Multiscale finite-volume method for compressible multiphase flow in porous media. Journal of Computational Physics 2006, 216(2):616-636.
21. Lunati I., Jenny P. Multiscale finite-volume method for density-driven flow in porous media. Computational Geosciences 2008, 12(3):337-350.
22. Lunati I., Lee S.H. An operator formulation of the multiscale finite-volume method with correction function. Multiscale Modeling and Simulation 2009, 8(1):96-109.
23. Lunati I., Or D. Gravity-driven slug motion in capillary tubes. Physics of Fluids 2009, 21(052003).
24. Lunati I., Tyagi M., Lee S.H. An iterative multiscale finite volume algorithm converging to the exact solution. Journal of Computational Physics 2011, 230(5):1849-1864.
25. OpenFOAM, The Open Source CFD Toolbox: User Guide. OpenFOAM Foundation, version 2.1.1, 2012.
26. H. Rusche, Computational fluid dynamics of dispersed two-phase flows at high phase fractions, Ph.D. Thesis, Imperial College London, 2002.
27. Scardovelli R., Zalesky S. Direct numerical simulation of free-surface and interfacial flow. Annual Review of Fluid Mechanics 1999, 31:567-603.