An HLLC Riemann solver for relativistic flows -I. Hydrodynamics

Monthly Notices of the Royal Astronomical Society

Volumn 364, Issue 1, 2005, Pages 126-136

  Mignone, A ^a   Bodo, G ^a  

^a OSSERVATORIO ASTRONOMICO DI TORINO   (Italy)

Author keywords

Hydrodynamics; Methods: numerical; Relativity; Shock waves

Indexed keywords

NUMERICAL METHODS; RELATIVITY; SHOCK WAVES;

APPROXIMATE RIEMANN SOLVER; COMPUTATIONALLY EFFICIENT; FLUID-DYNAMICS; METHOD: NUMERICAL; NUMERICAL SCHEME; RELATIVISTICS; RIEMANN PROBLEM; RIEMANN SOLVER; SHOCK-WAVES; TWO WAVES;

HYDRODYNAMICS;

EID: 27944510991     PISSN: 00358711     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1365-2966.2005.09546.x     Document Type: Article

References (38)

1. Aloy M. A., Ibáñez J. M., Martí J. M., 1999, ApJS, 122, 151
2. Anile A. M., 1989, Relativistic Fluids and Magneto-fluids. Cambridge Univ. Press, Cambridge, p. 55
3. Balsara D. S., 1994, J. Comput. Phys., 114, 284
4. Batten P., Clarke N., Lambert C., Causon D.M., 1997, SIAM J. Sci. Comput., 18, 1553
5. Colella P., 1985, SIAM J. Sci. Stat. Comput., 6, 104
6. Courant R., Friedrichs K. O., Lewy H., 1928, Math. Ann., 100, 32
7. Dai W., Woodward P. R., 1997, SIAM J. Sci. Comput., 18, 982
8. Davis S. F., 1988, SIAM J. Sci. Stat. Comput., 9, 445
9. Del Zanna L., Bucciantini N., 2002, A&A, 390, 1177
10. Donat R., Font J. A., Ibáñez J. M, Marquina A., 1998, J. Comput. Phys., 146, 58
11. Duncan G. C., Hughes P. A., 1994, ApJ, 436, L119
12. Einfeldt B., Munz C. D., Roe P. L., Sjögreen B., 1991, J. Comput. Phys., 92, 273
13. Eulderink F., Mellema G., 1995, A&AS, 110, 587
14. Falle S. A. E. G., Komissarov S. S., 1996, MNRAS, 278, 586
15. Gurski K. F., 2004, SIAM J. Sci. Comput., 25, 2165
16. Harten A., Lax P. D., van Leer B., 1983, SIAM Rev., 25, 35 and 61
17. Landau L. D., Lifshitz E. M., 1959, Fluid Mechanics. Pergamon, New York
18. Lax P. D., Liu X.-D., 1998, SIAM J. Sci. Comput., 19, 319
19. Leismann T., Anton L., Aloy M. A., Müller E., Martf J. M., Miralles J. A., Ibáñez J. M., 2005, A&A, 436, 503
20. Li S., 2005, J. Comput. Phys., 203, 344
21. Lucas-Serrano A., Font J. A., Ibáñez J. M., Martí J. M., 2004, A&A, 428, 703
22. Marquina A., Martí, J. M., Ibáñez J. M., Miralles J. A, Donat R., 1992, A&A, 258, 566
23. Martí J. M, Müller E., 1994, J. Fluid Mech., 258, 317
24. Martí J. M., Müller E., 1996, J. Comput. Phys., 123, 1
25. Martí J. M., Müller E., 2003, Living Rev. Relativ., 6, 7
26. Martí J. M., Müller E., Font J. A., Ibanez J. M. A., Marquina A., 1997, ApJ, 479, 151
27. Mignone A., Plewa T., Bodo G., 2005a, ApJS, 160, 199
28. Mignone A., Massaglia B., Bodo G., 2005b, Space Sci. Rev., in press
29. Pons J. A., Martí J. M., Müller E., 2000, J. Fluid Mech., 42, 125
30. Quirk J., 1994, Int. J. Numer. Methods Fluids, 18, 555
31. Rezzolla L., Zanotti O., Pons J. A., 2003, J. Fluid Mech., 479, 199
32. Saltzman J., 1994, J. Comput. Phys., 115, 153
33. Schneider V., Katscher U., Rischke D. H., Waldhauser B., Maruhn J. A., Munz C.-D., 1993, J. Comput. Phys., 105, 92
34. Schulz-Rinne C. W., Collins J. P., Glaz H. M., 1993, SIAM J. Sci. Comput., 14, 1394
35. Strang G., 1968, SIAM J. Numer. Anal., 5, 506
36. Taub A. H., 1948, Phys. Rev., 74, 328
37. Toro E. F., 1997, Riemann Solvers and Numerical Methods for Fluid Dynamics. Springer, Berlin
38. Toro E. F., Spruce M., Speares W., 1994, Shock Waves, 4, 25