A five equation reduced model for compressible two phase flow problems

Journal of Computational Physics

Volumn 202, Issue 2, 2005, Pages 664-698

  Murrone, Angelo ^a,b,c   Guillard, Hervé ^b  

^a IRFM   (France)

^b INRIA   (France)

^c ONERA   (France)

Author keywords

Compressible interface problems; Hyperbolic relaxation; Non conservative products; Riemann solver; Two phase flows

Indexed keywords

ASYMPTOTIC ANALYSIS; LINEARIZATION; PHASE INTERFACES;

COMPRESSIBLE INTERFACE PROBLEM; EULERIAN; FLOW PROBLEMS; HYPERBOLIC RELAXATION; INTERFACE PROBLEMS; NON CONSERVATIVE PRODUCT; REDUCED MODEL; RIEMANN SOLVER; TWO PHASES FLOW; VELOCITY MODELING;

TWO PHASE FLOW;

EID: 10244260320     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2004.07.019     Document Type: Article

References (21)

1. R. Abgrall How to prevent pressure oscillations in multicomponent flow calculations. A quasi conservative approach J. Comput. Phys. 125 1996 150-160
2. G. Allaire S. Clerc S. Kokh A five-equation model for the simulation of interfaces between compressible fluids J. Comput. Phys. 181 2002 577-616
3. M.R. Baer J.W. Nunziato A two-phase mixture theory for the deflagration-to-detonation transition (DDT) in reactive granular materials J. Multiphase Flow 12 1986 861-889
4. T. Buffard T. Gallouët J.M. Hérard A sequel to a rough godunov scheme: Application to real gases Comp. Fluid 29 2000 673-709
5. F. Coquel J.M. Hérard N. Seguin Closure laws for a two-fluid two-pressure model CR Acad. Sci. Paris, Ser. I 334 2002 1-6
6. D.A. Drew S.L. Passman Theory of multicomponent fluids Applied Mathematical Sciences vol. 135 1998 Springer New York
7. E. Godlewski P.A. Raviart Numerical approximation of hyperbolic systems of conservation laws Applied Mathematical Sciences vol. 118 1995 Springer New York
8. M. Ishii Thermo-fluid dynamic theory of two-phase flow, Direction des études et recherches d'électricité de France 22 Eyrolles, Paris, 1975
9. A.K. Kapila R. Menikoff J.B. Bdzil S.F. Son D.S. Stewart Two-phase modelling of DDT in granular materials: Reduced equations Phys. Fluid 13 2001 3002-3024
10. M.H. Lallemand, R. Saurel, Pressure Relaxation Procedures for Multiphase Compressible Flows, Technical Report 4038, INRIA, 2000
11. J.C. Martin W.J. Moyce An experimental study of the collapse of liquid columns on a rigid horizontal plane Phil. Trans. R. Soc. Lond. Ser. A 244 1952 312-324
12. J. Massoni R. Saurel B. Nkonga R. Abgrall Propositions de méthodes et modèles Eulèriens pour les problèmes à interfaces entre fluides compressibles en présence de transfert de chaleur Int. J. Heat Mass Trans. 45 6 2001 1287-1307
13. A. Murrone, Modéles bi-fluides à six et sept à Èqeuations pour les écoulements diphasiques à faible nombre de Mach Ph.D. Thesis, University of Aix-Marseille I, 2003. Available from: Http://tel.ccsd.cnrs.fr
14. R. Natalini, Recent mathematical results on hyperbolic relaxation problems. Analysis of Systems of Conservation Laws (Aachen, 1997), Chapman and Hall/CRC, Boca Raton, FL, 1999, pp. 128-198
15. V.H. Ransom D.L. Hicks Hyperbolic two-pressure models for two phase flow J. Comput. Phys. 53 1984 124-151
16. R. Saurel R. Abgrall A multiphase Godunov method for compressible multifluid and multiphase flows J. Comput. Phys. 150 1999 425-467
17. R. Saurel R. Abgrall A simple method for compressible multifluid flows SIAM J. Sci. Comput. 21 3 1999 1115-1145
18. C.W Shu S. Osher Efficient implementation of essential non oscillatory shock capturing schemes J. Comput. Phys. 77 1988 439-471
19. H.B. Stewart B. Wendroff Two-phase flow: Models and methods J. Comput. Phys. 56 1984 363-409
20. E.F. Toro Riemann Solvers and Numerical Methods for fluid dynamics 1997 Springer-Verlag Berlin
21. Shaojie Xu D.S. Stewart Deflagration-to-detonation transition in porous energetic materials: A comparative model study J. Eng. Math. 31 1997 143-172