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All issues Volume 44 / No 2 (March-April 2010) ESAIM: M2AN, 44 2 (2010) 251-287 References
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Issue
ESAIM: M2AN
Volume 44, Number 2, March-April 2010
Page(s) 251 - 287
DOI https://doi.org/10.1051/m2an/2010002
Published online 27 January 2010
  1. G. Ansanay-Alex, F. Babik, J.-C. Latché and D. Vola, An L2–stable approximation of the Navier–Stokes advection operator for low-order non-conforming finite elements. IJNMF (to appear). [Google Scholar]
  2. M. Baudin, Ch. Berthon, F. Coquel, R. Masson and Q.H. Tran, A relaxation method for two-phase flow models with hydrodynamic closure law. Numer. Math. 99 (2005) 411–440. [CrossRef] [MathSciNet] [Google Scholar]
  3. M. Baudin, F. Coquel and Q.-H. Tran, A semi-implicit relaxation scheme for modeling two-phase flow in a pipeline. SIAM J. Sci. Comput. 27 (2005) 914–936 (electronic). [CrossRef] [MathSciNet] [Google Scholar]
  4. S. Becker, A. Sokolichin and G. Eigenberger, Gas-liquid flow in bubble columns and loop reactors: Part II. Comparison of detailed experiments and flow simulations. Chem. Eng. Sci. 49 (1994) 5747–5762. [CrossRef] [Google Scholar]
  5. F. Brezzi and M. Fortin, Mixed and Hybrid Finite Element Methods. Springer-Verlag (1991). [Google Scholar]
  6. G. Chanteperdrix, Modélisation et simulation numérique d'écoulements diphasiques à interface libre. Application à l'étude des mouvements de liquides dans les réservoirs de véhicules spatiaux. Energétique et dynamique des fluides, École Nationale Supérieure de l'Aéronautique et de l'Espace, France (2004). [Google Scholar]
  7. P.G. Ciarlet, Finite elements methods – Basic error estimates for elliptic problems, in Handbook of Numerical Analysis II, P. Ciarlet and J.L. Lions Eds., North Holland (1991) 17–351. [Google Scholar]
  8. M. Crouzeix and P.-A. Raviart, Conforming and nonconforming finite element methods for solving the stationary Stokes equations I. Revue Française d'Automatique, Informatique et Recherche Opérationnelle (R.A.I.R.O.) 3 (1973) 33–75. [Google Scholar]
  9. K. Deimling, Nonlinear Functional Analysis. Springer, New York, USA (1980). [Google Scholar]
  10. S. Evje and K.K. Fjelde, Hybrid flux-splitting schemes for a two-phase flow model. J. Comput. Phys. 175 (2002) 674–701. [CrossRef] [Google Scholar]
  11. S. Evje and K.K. Fjelde, On a rough AUSM scheme for a one-dimensional two-phase model. Comput. Fluids 32 (2003) 1497–1530. [CrossRef] [MathSciNet] [Google Scholar]
  12. R. Eymard, T. Gallouët, M. Ghilani and R. Herbin, Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes. IMA J. Numer. Anal. 18 (1998) 563–594. [CrossRef] [MathSciNet] [Google Scholar]
  13. R. Eymard, T Gallouët and R. Herbin, Finite volume methods, in Handbook of Numerical Analysis I, P. Ciarlet and J.L. Lions Eds., North Holland (2000) 713–1020. [Google Scholar]
  14. T. Flåtten and S.T. Munkejord, The approximate Riemann solver of Roe applied to a drift-flux two-phase flow model. ESAIM: M2AN 40 (2006) 735–764. [CrossRef] [EDP Sciences] [Google Scholar]
  15. T. Gallouet, J.-M. Hérard and N. Seguin, A hybrid scheme to compute contact discontinuities in one dimensional Euler systems. ESAIM: M2AN 36 (2003) 1133–1159. [CrossRef] [EDP Sciences] [Google Scholar]
  16. T. Gallouët, L. Gastaldo, R. Herbin and J.-C. Latché, An unconditionally stable pressure correction scheme for compressible barotropic Navier-Stokes equations. ESAIM: M2AN 42 (2008) 303–331. [Google Scholar]
  17. T. Gallouët, R. Herbin and J.-C. Latché, A convergent finite-element volume scheme for the compressible Stokes problem. Part I: The isothermal case. Math. Comp. 78 (2009) 1333–1352. [Google Scholar]
  18. L. Gastaldo, R. Herbin and J.-C. Latché, A pressure correction scheme for the homogeneous two-phase flow model with two barotropic phases, in Finite Volumes for Complex Applications V – Problems and Perspectives – Aussois, France (2008) 447–454. [Google Scholar]
  19. L. Gastaldo, R. Herbin and J.-C. Latché, A discretization of the phase mass balance in fractional step algorithms for the drift-flux model. IMA J. Numer. Anal. (2009) doi:10.1093/imanum/drp006. [Google Scholar]
  20. J.-L. Guermond and L. Quartapelle, A projection FEM for variable density incompressible flows. J. Comput. Phys. 165 (2000) 167–188. [CrossRef] [MathSciNet] [Google Scholar]
  21. J.L. Guermond, P. Minev and J. Shen, An overview of projection methods for incompressible flows. Comput. Meth. Appl. Mech. Eng. 195 (2006) 6011–6045. [Google Scholar]
  22. H. Guillard and F. Duval, A Darcy law for the drift velocity in a two-phase flow model. J. Comput. Phys. 224 (2007) 288–313. [CrossRef] [MathSciNet] [Google Scholar]
  23. F.H. Harlow and A.A. Amsden, A numerical fluid dynamics calculation method for all flow speeds. J. Comput. Phys. 8 (1971) 197–213. [CrossRef] [Google Scholar]
  24. D. Kuzmin and S. Turek, Numerical simulation of turbulent bubbly flows, in 3rd International Symposium on Two-Phase Flow Modelling and Experimentation, Pisa, 22–24 September (2004). [Google Scholar]
  25. B. Larrouturou, How to preserve the mass fractions positivity when computing compressible multi-component flows. J. Comput. Phys. 95 (1991) 59–84. [CrossRef] [MathSciNet] [Google Scholar]
  26. M. Marion and R. Temam, Navier-Stokes equations: Theory and approximation, in Handbook of Numerical Analysis VI, P. Ciarlet and J.L. Lions Eds., North Holland (1998). [Google Scholar]
  27. J.-M. Masella, I. Faille and T. Gallouët, On an approximate Godunov scheme. Int. J. Comput. Fluid Dyn. 12 (1999) 133–149. [Google Scholar]
  28. F. Moukalled, M. Darwish and B. Sekar, A pressure-based algorithm for multi-phase flow at all speeds. J. Comput. Phys. 190 (2003) 550–571. [CrossRef] [Google Scholar]
  29. R. Rannacher and S. Turek, Simple nonconforming quadrilateral Stokes element. Numer. Methods Part. Differ. Equ. 8 (1992) 97–111. [Google Scholar]
  30. J.E. Romate, An approximate Riemann solver for a two-phase flow model with numerically given slip relation. Comput. Fluids 27 (1998) 455–477. [CrossRef] [MathSciNet] [Google Scholar]
  31. A. Sokolichin and G. Eigenberger, Applicability of the standard k-ε turbulence model to the dynamic simulation of bubble columns: Part I. Detailed numerical simulations. Chem. Eng. Sci. 54 (1999) 2273–2284. [CrossRef] [Google Scholar]
  32. A. Sokolichin, G. Eigenberger and A. Lapin, Simulation of buoyancy driven bubbly flow: Established simplifications and open questions. AIChE J. 50 (2004) 24–45. [CrossRef] [Google Scholar]
  33. B. Spalding, Numerical computation of multi-phase fluid flow and heat transfer, in Recent Advances in Numerical Methods in Fluids 1, Swansea, Pineridge Press (1980) 139–168. [Google Scholar]
  34. P. Wesseling, Principles of computational fluid dynamics, Springer Series in Computational Mathematics 29. Springer (2001). [Google Scholar]

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