On a rough AUSM scheme for a one-dimensional two-phase model

Computers and Fluids

Volumn 32, Issue 10, 2003, Pages 1497-1530

  Evje, Steinar ^a   Fjelde, Kjell K ^a  

^a RF Rogaland Research   (Norway)

Author keywords

Advection upstream splitting method; Flux difference splitting; Flux vector splitting; Hyperbolic system of conservation laws; Two phase flow

Indexed keywords

COMPRESSIBLE FLOW; COMPUTER SIMULATION; DENSITY OF LIQUIDS; ENERGY CONSERVATION; UNSTEADY FLOW;

ADVECTION UPSTREAM SPLITTING METHODS (AUSM);

TWO PHASE FLOW;

ADVECTION; MATHEMATICAL MODELING; NAVIER-STOKES EQUATIONS; TWO-PHASE FLOW;

EID: 0038605817     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7930(02)00113-5     Document Type: Article

References (37)

1. Liou M.-S. Steffen C.J. A new flux splitting scheme J. Comput. Phys. 107 1993 23-39
2. Liou M.-S. A sequel to AUSM: AUSM(+) J. Comput. Phys. 129 2 1996 364-382
3. Liou M.-S. Mass flux schemes and connection to shock instability J. Comput. Phys. 160 2000 623-648
4. Wada Y. Liou M.-S. An accurate and robust flux splitting scheme for shock and contact discontinuity SIAM J. Sci. Comput. 18 3 1997 633-657
5. Edwards J.R. A low-diffusion flux-splitting scheme for Navier-Stokes calculations Comput. Fluids 26 6 1997 635-659
6. Osher S. Riemann solvers, the entropy conditions, and difference approximations SIAM J. Num. Anal. 21 1984 217-235
7. Harten A. Lax P.D. van Leer B. On upstream differencing and Godunov schemes for hyperbolic conservation laws SIAM Rev. 25 1981 35-61
8. Roe P.L. The use of Riemann problem in finite difference schemes Lectures Notes Phys. 141 1980 354-359
9. Roe P.L. Approximate Riemann solvers, parameters vectors and difference schemes J. Comput. Phys. 43 1981 357-372
10. Masella J.M. Faille I. Gallouet T. On an approximate Godunov scheme Int. J. Computat. Fluid Dynam. 12 2 1999 133-149
11. Romate J.E. An approximate Riemann solver for a two-phase flow model with numerically given slip relation Comput. Fluid 27 4 1998 455-477
12. Faille I. Heintze E. A rough finite volume scheme for modeling two-phase flow in a pipeline Comput. Fluids 28 1999 213-241
13. Masella J.M. Tran Q.H. Ferre D. Pauchon C. Transient simulation of two-phase flows in pipes Int. J. Multiph. Flow 24 1998 739-755
14. Gavrilyuk S.L. Fabre J. Lagrangian coordinates for a drift-flux model of a gas-liquid mixture Int. J. Multiph. Flow 22 3 1996 453-460
15. Fjelde K.-K. Karlsen K.-H. High-resolution hybrid primitive-conservative upwind schemes for the drift flux model Comput. Fluids 31 2002 335-367
16. Evje S. Fjelde K.-K. Hybrid flux-splitting schemes for a two-phase flow model J. Comput. Phys. 175 2 2002 674-701
17. Thakur S. Shyy W. Development of high-accuracy convection schemes for sequential solvers Numer. Heat Transf., Part B 23 1993 175-199
18. Thakur S. Shyy W. Liou M.-S. Convection treatment and pressure splitting for sequential solution procedures, Part I: Theory and one-dimensional test cases Numer. Heat Transf., Part B 29 1996 1-27
19. Niu Y.Y. Simple conservative flux splitting for multi-component flow calculations Numer. Heat Transf. 38 2000 203-222
20. Edwards J.R. Franklin R.K. Liou M.-S. Low-diffusion flux-splitting methods for real fluid flows with phase transition AIAA J. 38 9 2000 1624-1633
21. Hibiki T. Ishii M. Distribution parameter and drift velocity of drift-flux model in bubbly flow Int. J. Numer. Heat Transf. 45 2002 707-721
22. Bouchut F. Brenier Y. Cortes J. Ripoll J.-F. A hierarchy of models for two-phase flows J. Nonlinear Sci. 10 2000 639-660
23. Coquel F. El Amine K. Godlewski E. Perthame B. Rascle P. A numerical method using upwind schemes for the resolution of two-phase flows J. Comput. Phys. 136 1997 272-288
24. Cortes J. An asymptotic two-fluid model for Roe-scheme computation Computational Fluid Dynamics (proceedings of ECCOMAS 98, Athens) vol. 2 1998 416-420 John Wiley and Sons
25. Cortes J. Debussche A. Toumi I. A density perturbation method to study the eigenstructure of two-phase flow equation systems J. Comput. Phys. 147 1998 463-484
26. Kumbaro A. Toumi I. An approximate linearized Riemann solver for a two-fluid model J. Comput. Phys. 124 1996 286-300
27. Saurel R. Abgrall R. A multiphase Godunov method for compressible multifluid and multiphase flows J. Comput. Phys. 150 1999 425-467
28. Tiselj I. Petelin S. Modelling of two-phase flow with second-order accurate scheme J. Comput. Phys. 136 1997 503-521
29. Toumi I. An upwind numerical method for two-fluid two-phase flow models Nucl. Sci. Eng. 123 1996 147-168
30. Petalas N. Aziz K. A mechanistic model for multiphase flow in pipes J. Canadian Petroleum Tech. 39 6 2000 43-55
31. Bendiksen K. Malnes D. Moe R. Nuland S. The dynamic two-fluid model OLGA: Theory and application SPE Production Eng. 6 1991 171-180
32. Lage ACVM. Two-phase flow models and experiments for low-head and underbalanced drilling. PhD Thesis, Stavanger College, Norway, 2000
33. Theron B. Ecoulements diphasique instationnaires en conduite horizontale. These, INP Toulouse, France, 1989
34. Benzoni-Gavage S. Analyse numerique des modeles hydrodynamiques d'ecoulements diphasique instationnaires dans les reseaux de production petroliere. These, ENS Lyon, France, 1991
35. Thakur S. Shyy W. Liou M.-S. Convection treatment and pressure splitting for sequential solution procedures, Part II: Pressure-based algorithm Numer. Heat Transf., Part B 29 1996 1-27
36. van Leer B. Flux-vector splitting for the Euler equations Lecture Notes Phys. 170 1982 507-512
37. van Leer B. Towards the ultimate conservative difference scheme, V. A second-order sequel to Godunov's method J. Comput. Phys. 32 1979 101-136