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All issues Volume 39 / No 3 (May-June 2005) ESAIM: M2AN, 39 3 (2005) 487-514 References
Free Access
Issue
ESAIM: M2AN
Volume 39, Number 3, May-June 2005
Special issue on Low Mach Number Flows Conference
Page(s) 487 - 514
DOI https://doi.org/10.1051/m2an:2005020
Published online 15 June 2005
  1. R. Abgrall, R. Saurel, A multiphase Godunov method for compressible multifluid and multiphase flows. J. Comput. Phys. 150 425–467 (1999). [Google Scholar]
  2. G. Allaire, S. Clerc and S. Kokh, A five-equation model for the numerical simulation of interfaces in two-phase flows. C. R. Acad. Sci. Paris Ser. I 331 (2000) 1017–1022. [Google Scholar]
  3. G. Allaire, S. Clerc and S. Kokh, A five-equation model for the simulation of interfaces between compressible fluids. J. Comput. Phys. 181 (2002) 577–616. [CrossRef] [MathSciNet] [Google Scholar]
  4. Y.-H. Choi, C.L. Merkle, The Application of Preconditioning in Viscous Flows. J. Comput. Phys. 105 (1993) 207–223. [CrossRef] [MathSciNet] [Google Scholar]
  5. A.J. Chorin and J.E. Mardsen, A Mathematical Introduction to Fluid Mechanics. Springer-Verlag (1979). [Google Scholar]
  6. S. Dellacherie, On relaxation schemes for the multicomponent Euler system. ESAIM: M2AN 37 (2003) 909–936. [CrossRef] [EDP Sciences] [Google Scholar]
  7. S. Dellacherie, Dérivation du système diphasique bas Mach. Simulation numérique en géométrie monodimensionnelle. CEA report, ref. CEA-R-6046 (2004). [Google Scholar]
  8. S. Dellacherie and A. Vincent, Zero Mach Number Diphasic Equations for the Simulation of Water-Vapor High Pressure Flows, in Proc. of the 11th conference of the CFD Society of Canada, Vancouver (2003) 248–255. [Google Scholar]
  9. P. Embid, Well-posedness of the nonlinear equations for zero Mach number combustion. Comm. Partial Differential Equations 12 (1987) 1227–1283. [CrossRef] [MathSciNet] [Google Scholar]
  10. D. Gueyffier, J. Li, A. Nadim, R. Scardovelli and S. Zaleski, Volume-of-Fluid interface tracking with smoothed surface stress methods for three-dimensional flows. J. Comput. Phys. 152 (1999) 423–456. [Google Scholar]
  11. H. Guillard and A. Murrone, On the behavior of upwind schemes in the low Mach number limit: II. Godunov type schemes. Comput. Fluids 33 (2004) 655–675. [CrossRef] [Google Scholar]
  12. H. Guillard and C. Viozat, On the behaviour of upwind schemes in the low Mach number limit. Comput. Fluids 28 (1999) 63–86. [CrossRef] [MathSciNet] [Google Scholar]
  13. F.H. Harlow and J.E. Welch, Numerical calculation of time-dependent viscous incompressible flow of fluid with free interface. Phys. Fluids 8 (1965) 2182–2189. [Google Scholar]
  14. D. Jamet, O. Lebaigue, N. Coutris and J.M. Delhaye, The second gradient method for the direct numerical simulation of liquid-vapor flows with phase change. J. Comput. Phys. 169 (2001) 624–651. [CrossRef] [MathSciNet] [Google Scholar]
  15. D. Juric and G. Tryggvason, Computations of boiling flows. Int. J. Multiphase Flow 24 (1998) 387–410. [CrossRef] [Google Scholar]
  16. S. Kokh, Aspects numériques et théoriques de la modélisation des écoulements diphasiques compressibles par des méthodes de capture d'interface. Ph.D. thesis of Paris VI University (2001). [Google Scholar]
  17. B. Lafaurie, C. Nardone, R. Scardovelli, S. Zaleski and G. Zanetti, Modelling merging and fragmentation in multiphase flows with SURFER. J. Comput. Phys. 113 (1994) 134–147. [Google Scholar]
  18. F. Lagoutière, Modélisation mathématique et résolution numérique de problèmes de fluides compressibles à plusieurs constituants. Ph.D. thesis of Paris VI University (2000). [Google Scholar]
  19. D. Lakehal, M. Meier and M. Fulgosi, Interface tracking towards the direct numerical simulation of heat and mass transfer in multiphase flow. Internat. J. Heat Fluid Flow 23 (2002) 242–257. [CrossRef] [Google Scholar]
  20. J.M. Le Corre, E. Hervieu, M. Ishii and J.M. Delhaye, Benchmarking and improvements of measurement techniques for local time-averaged two-phase flow parameters. Fourth International Conference on Multiphase Flows (ICMF 2001), New-Orleans, USA (2001). [Google Scholar]
  21. A. Majda, Equations for low mach number combustion. Center of Pure and Applied Mathematics, University of California at Berkeley, report No. 112 (1982). [Google Scholar]
  22. A. Majda and J.A. Sethian, The derivation and numerical solution of the equations for zero Mach number combustion. Combust. Sci. Tech. 42 (1985) 185–205. [Google Scholar]
  23. W. Mulder, S. Osher and J.A. Sethian, Computing interface motion in compressible gas dynamics. J. Comput. Phys. 100 (1992) 209–228. [NASA ADS] [CrossRef] [MathSciNet] [Google Scholar]
  24. S. Osher, M. Sussman and P. Smereka, A level set approach for computing solutions to incompressible two-phase flow. J. Comput. Phys. 114 (1994) 146–159. [Google Scholar]
  25. S. Paolucci, On the filtering of sound from the Navier-Stokes equations. Sandia National Laboratories report SAND82-8257 (1982). [Google Scholar]
  26. J.A. Sethian, Level Set Methods. Cambridge Monographs on Applied and Computational Mathematics, Cambridge University Press (1996). [Google Scholar]
  27. K.M. Shyue, A fluid-mixture type algorithm for compressible multicomponent flow with van der Waals equation of state. J. Comput. Phys. 156 (1999) 43–88. [CrossRef] [MathSciNet] [Google Scholar]
  28. G. Tryggvasson and S.O. Unverdi, A front-tracking method for viscous, incompressible, multi-fluid flows. J. Comput. Phys. 100 (1992) 25–37. [CrossRef] [Google Scholar]
  29. E. Turkel, Review of preconditioning methods for fluid dynamics. Appl. Numer. Math. 12 (1993) 257–284. [CrossRef] [MathSciNet] [Google Scholar]
  30. S.W.J. Welch and J. Wilson, A volume of fluid based method for fluid flows with phase change. J. Comput. Phys. 160 (2000) 662–682. [CrossRef] [Google Scholar]

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