Lagrangian systems of conservation laws: Invariance properties of Lagrangian systems of conservation laws, approximate Riemann solvers and the entropy condition

Numerische Mathematik

Volumn 89, Issue 1, 2001, Pages 99-134

  Després, Bruno ^a,b  

^a CEA DIF   (France)

^b SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035599958     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005465     Document Type: Article

References (31)

1. Bazarov I., Thermodynamique. (Edition MIR, 1989)
2. Bezard F. and Després B., Journ. Comp. Phys., 154, (1998) 65-89
3. Callen H.B., Thermodynamics and introduction to thermostatistics, (John WILEY & SONS, 1985)
4. Coquel F., Schémas hyperboliques, (INRIA, France 1998)
5. Coquel F. and Perthame B., Siam Journal of Numerical Analysis, 35, (1997) 2223-2249
6. 2AN, 25, (1991) 337-361
7. Deshpande S., NASA Langley, 2613, (1986)
8. Després B., C. R. Acad. Sci., Série I, 324, (1997), 1301-1306
9. Després B., VII conference on hyperbolic problems, (ETHZ-Zurich, 1998)
10. Després B., Schémas hyperboliques, Méthode de Galerkin discontinue d'ordre élevé et entropique pour la résolution des équations d'Euler, (INRIA, France 1998)
11. Friedrichs K.O and Lax P.D., Proc. Nat. Acad. Sci. Usa, 68 (1971) 1686-1688
12. Gallice G., Méthodes numériques pour la MHD, (GdR SPARCH, Marseille France 1995)
13. Godounov S.K., Mat. Sb., 89, (1959), 271-306
14. Godounov S.K., DAN, 134, (1960), 1279-1282
15. Godounov S.K., Nonlinear hyperbolic problems. (Springer Verlag 1986) 135-149
16. Godounov S.K., Journal of Computational Physics, 153, (1999), 6-25
17. Godlewski E. and Raviart P.A., Numerical approximation of hyperbolic systems of conservation laws. (Springer Verlag New York. AMS 118, 1996)
18. Harten A., Hyman J.M., and Lax P.D., Comm. Pure Appl. Math., 29, (1976) 297-322
19. Jaouen S., Technical report, (Bordeaux University, France 1997)
20. Van Leer B., ICASE, 82-30, (1982)
21. LeVeque R.J., Numerical methods for conservation laws. (ETHZ Zurich, Birkhauser, Basel 1992)
22. Munz D., SIAM Journal of Numer. Anal., 31, (1994) 17-42
23. Noh W.F., Journal of Computational Physics, 72, (1987), 78-120
24. Von Neumann J. and Richtmyer R.D., Journal of Applied Physics, A method for the numerical calculations of hydrodynamics shocks, 21, (1950)
25. Osher S., Siam Journal of Numer. Anal., 21, (1984), 217-235
26. Perthame B., SIAM J. Numer. Anal., 27, (1990), 1405-1420
27. Powell K.G., Roe P.L. and Myong R.S., Méthodes numériques pour la MHD, (GdR SPARCH, Marseille France 1995) An upwind scheme for Magnetohydrodynamics
28. Roe P.L., Journal of Computational Physics, 43, (1981), 357-372
29. Serre D., Systèmes de lois de conservation I (Diderot Editeur, France 1996)
30. Toro E. F. , Riemann Solvers and Numerical Methods for Fluid Dynamics (Springer-Verlag 1997)
31. Zel'dovitch Ya.B. and Raizer Yu.P., Physics of shock waves and High-temperature hydrodynamic phenomena (Academic Press, 1967)