An HLLC Riemann solver for relativistic flows - II. Magnetohydrodynamics

Monthly Notices of the Royal Astronomical Society

Volumn 368, Issue 3, 2006, Pages 1040-1054

  Mignone, A ^a,b   Bodo, G ^a  

^a OSSERVATORIO ASTRONOMICO DI TORINO   (Italy)

^b UNIVERSITY OF TURIN   (Italy)

Author keywords

Hydrodynamics; Methods: numerical; MHD; Relativity; Shock waves

Indexed keywords

EQUATIONS OF STATE; MAGNETOHYDRODYNAMICS; NUMERICAL METHODS; RELATIVITY;

APPROXIMATE RIEMANN SOLVER; JACOBIANS; MAGNETIC-FIELD; MAGNETOHYDRODYNAMIC EQUATIONS; METHOD: NUMERICAL; RELATIVISTIC MAGNETOHYDRODYNAMICS; RELATIVISTICS; RIEMANN PROBLEM; RIEMANN SOLVER; SHOCK-WAVES;

SHOCK WAVES;

EID: 33646479917     PISSN: 00358711     EISSN: 13652966     Source Type: Journal    
DOI: 10.1111/j.1365-2966.2006.10162.x     Document Type: Article

References (54)

1. Aloy M. A., Müller E., Ibáñez J. M., Martí J. M., MacFadyen A., 2000. ApJ, 531, L119
2. Aloy M.-A., Ibáñez J.-M., Miralles J.-A., Urpin V., 2002. A&A, 396, 693
3. Anile A. M., 1989, Relativistic Fluids and Magneto-Fluids. Cambridge Univ. Press, Cambridge, p. 55
4. Anile M., Pennisi S., 1987, Ann. Inst. Henri Poincaré. 46, 127
5. Balsara D. S., 2001, ApJS, 132, 83 (BA)
6. Balsara D. S., 2004, ApJS, 151, 149
7. Balsara D. S., Spicer S. D., 1999, J. Comput. Phys., 149, 270
8. Brio M., WU C.-C., 1988, J. Comput. Phys., 75, 400
9. Bruenn S. W., 1985, ApJS, 58, 771
10. Bucciantini N., del Zanna L., Amato E., Volpi D., 2005, A&A, 443, 519
11. Colella P., 1990, J. Comput. Phys., 87, 171
12. Courant R., Friedrichs K. O., Lewy H., 1928, Math. Ann., 100, 32
13. Dai W., Woodward P. R., 1994, ApJ, 436, 776
14. Davis S. F., 1988, SIAM J. Sci. Stat. Comput., 9, 445
15. Del Zanna L., Bucciantini N., Londrillo P., 2003, A&A, 400, 397 (dZBL)
16. Dimmelmeier H., Font J. A., Müller E., 2002, A&A. 393, 523
17. Duez M. D., Liu Y. T., Shapiro S. L., Stephens B. C., 2005, Phys. Rev. D, 72, 024028
18. Elvis M., Risaliti G., Zamorani G., 2002, ApJ, 565, L75
19. Evans C. R., Hawley J. F., 1988, ApJ, 332, 659
20. Gammie C. F., McKinney J. C., Tóth G., 2003, ApJ, 589, 444
21. Gardiner T. A., Stone J. M., 2005, J. Comput. Phys., 205, 509
22. Giacomazzo B., Rezzolla L., 2006, J. Fluid Mech., in press
23. Gurski K. F., 2004. SIAM J. Sci. Comput., 25, 2165
24. Harten A., Lax P. D., van Leer B., 1983, SIAM Rev., 25, 35, 61
25. Koldoba A. V., Kuznetsov O. A., Ustyugova G. V., 2002, MNRAS, 333, 932
26. Komissarov S. S., 1997, Phys. Lett, A, 232, 435
27. Komissarov S. S., 1999, MNRAS, 303, 343 (KO)
28. Königl A., Granot J., 2002, ApJ, 574, 134
29. Leismann T., Antón L., Aloy M. A., Müller E., Martí J. M., Miralles J. A., Ibáñez J. M., 2005, A&A, 436, 503
30. Li S., 2005, J. Comput. Phys., 203, 344
31. Londrillo P., Del Zanna L., 2000, ApJ, 530, 508
32. Londrillo P., Del Zanna L., 2004, J. Comput. Phys., 195, 17
33. Macchetto F. D., 1999, Astrophys. Space Sci., 269, 269
34. MacFadyen A. I., Woosley S. E., 1999, ApJ, 524, 262
35. McKinney J. C., 2005, ApJ, 630, L5
36. McKinney J. C., Gammie C. F., 2004, ApJ, 611, 977
37. Martí J. M., Müller E., 2003, Living Rev. Relativ., 6, 7
38. Meier D. L., 2003, New Astron. Rev., 47, 667
39. Meszaros P., Rees M. J., 1994, MNRAS, 269, L41
40. Mignone A., Bodo G., 2005, MNRAS, 364, 126 (Paper I)
41. Mignone A., Plewa T., Bodo G., 2005, ApJS, 160, 199
42. Mignone A., Massaglia S., Bodo G., 2006. Space Sci. Rev., in press
43. Miyoshi T., Kusano K., 2005, J. Comput. Phys., 208, 315
44. Noh W. F., 1987, J. Comput. Phys., 72, 78
45. Romero R., Marti J. M., Pons J. A., Ibanez J. M., Miralles J. A., 2005, J. Fluid Mech., 544, 323
46. Rosswog S., Ramirez-Ruiz E., Davies M. B., 2003, MNRAS, 345, 1077
47. Saltzman J., 1994, J. Comput. Phys., 115, 153
48. Shapiro S. L., 2005, ApJ, 620, 59
49. Toro E. F., 1997. Riemann Solvers and Numerical Methods for Fluid Dynamics. Springer-Verlag. Berlin
50. Toro E. F., Spruce M., Speares W., 1994, Shock Waves, 4, 25
51. Tóth G., 2000. J. Comput. Phys., 161, 605
52. van Leer B., 1977, J. Comput. Phys., 23, 263
53. van Putten M. H. P. M., 1993, J. Comput. Phys., 105, 339
54. Varnière P., Rodriguez J., Tagger M., 2002, A&A, 387, 497