A five-wave Harten-Lax-van Leer Riemann solver for relativistic magnetohydrodynamics

Monthly Notices of the Royal Astronomical Society

Volumn 393, Issue 4, 2009, Pages 1141-1156

  Mignone, A ^a,b   Ugliano, M ^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

MAGNETOHYDRODYNAMICS; NUMERICAL METHODS; RELATIVITY;

CONTACT SURFACE; IDEAL MAGNETOHYDRODYNAMICS; MAGNETO HYDRODYNAMICS; METHOD: NUMERICAL; RELATIVISTIC MAGNETOHYDRODYNAMICS; RELATIVISTICS; RIEMANN PROBLEM; RIEMANN SOLVER; SHOCK-WAVES; WAVE PATTERNS;

SHOCK WAVES;

EID: 61349164881     PISSN: 00358711     EISSN: 13652966     Source Type: Journal    
DOI: 10.1111/j.1365-2966.2008.14221.x     Document Type: Article

References (35)

1. Anile A. M., 1990, Relativistic Fluids and Magneto-fluids. Cambridge Univ. Press, Cambridge, p. 55
2. Anile M., Pennisi S., 1987, Ann. Inst. Henri Poincaré, 46, 127
3. Balsara D. S., 2001, ApJS, 132, 83
4. Berger M. J., Colella P. J., 1989, Comput. Phys., 82, 64
5. Brio M., WU C.-C., 1988, J. Comput. Phys., 75, 400
6. Bucciantini N., Del Zanna L., 2006, A&A, 454, 393
7. Davis S. F., 1988, SIAM J. Sci. Stat. Comput., 9, 445
8. Einfeldt B., Munz C. D., Roe P. L., Sjögreen B., 1991, J. Comput. Phys., 92, 273
9. Del Zanna L., Bucciantini N., Londrillo P., 2003, A&A, 400, 397 (dZBL)
10. Del Zanna L., Zanotti O., Bucciantini N., Londrillo P., 2007, A&A, 473, 11
11. Gammie C. F., McKinney J. C., Tóth G., 2003, A&J, 589, 444
12. Gehmeyr M., Cheng B., Mihalas D., 1997, Shock Waves, 7, 255
13. Giacomazzo B., Rezzolla L., 2006, J. Fluid Mech., 562, 223
14. Gurski K. F., 2004, SIAM J. Sci. Comput., 25, 2165
15. Harten A., Lax P. D., van Leer B., 1983, SIAM Rev., 25, 35
16. Honkkila V., Janhunen P., 2007, J. Comput. Phys., 223, 643
17. Keppens R., Meliani Z., van der Holst B., Casse F., 2008, A&A, 486, 663
18. Koldoba A. V., Kuznetsov O. A., Ustyugova G. V., 2002, MNRAS, 333, 932
19. Komissarov S. S., 1997, Phys. Lett. A, 232, 435
20. Komissarov S. S., 1999, MNRAS, 308, 1069
21. Leismann T., Antón L., Aloy M. A., Müller E., Martí J. M., Miralles J. A., Ibáñez J. M., 2005, A&A, 436, 503
22. Li S., 2005, J. Comput. Phys., 203, 344
23. Lichnerowicz A., 1967, Relativistic Hydrodynamics and Magnetohydrodynamics. Benjamin, New York
24. Mignone A., Bodo G., 2006, MNRAS, 368, 1040 (MB)
25. Mignone A., McKinney J. C., 2007, MNRAS, 378, 1118
26. Mignone A., Massaglia S., Bodo G., 2005, Space Sci. Rev., 121, 21
27. Mignone A., Bodo G., Massaglia S., Matsakos T., Tesileanu O., Zanni C., Ferrari A., 2007, ApJS, 170, 228
28. Miyoshi T., Kusano K., 2005, J. Comput. Phys., 208, 315 (MK)
29. Noh W. F., 1987, J. Comput. Phys., 72, 78
30. Press W., Teukolsky S., Vetterling W., Flannery B., 1992. Numerical Recipes in C, 2nd edn. Cambridge Univ. Press, Cambridge, UK
31. Romero R., Martí J. M., Pons J. A., Ibáñez J. M., Miralles J. A., 2005, J. Fluid Mech., 544, 323
32. Rossi P., Mignone A., Bodo G., Massaglia S., Ferrari A., 2008, A&A, 488, 795
33. Toro E. F., 1997, Riemann Solvers and Numerical Methods for Fluid Dynamics. Springer-Verlag, Berlin
34. Toro E. F., Spruce M., Speares W., 1994, Shock Waves, 4, 25
35. van der Holst B., Keppens R., Meliani Z., 2008, Comput. Phys. Commun., 179, 617