Primitive variable solvers for conservative general relativistic magnetohydrodynamics

Astrophysical Journal

Volumn 641, Issue 1 I, 2006, Pages 626-637

  Noble, Scott C ^a   Gammie, Charles F ^a   Mckinney, Jonathan C ^b   Del Zanna, Luca ^c  

^a United States of America   (United States)

^b HARVARD SMITHSONIAN CENTER FOR ASTROPHYSICS   (United States)

^c UNIVERSITY OF FLORENCE   (Italy)

Author keywords

Hydrodynamics; Methods: numerical; MHD

Indexed keywords

EID: 33745321324     PISSN: 0004637X     EISSN: 15384357     Source Type: Journal    
DOI: 10.1086/500349     Document Type: Article

References (21)

1. Antón, L., Zanotti, O., Miralles, J. A., Martí, J. M., Ibáñez, J. M., Font, J. A., & Pons, J. A. 2006, ApJ, 637, 296
2. Balbus, S. A., & Hawley, J. F. 1991, ApJ, 376, 214
3. Berger, M. J., & Oliger, J. 1984, J. Comput. Phys., 53(3), 484
4. De Villiers, J., & Hawley, J. F. 2003, ApJ, 589, 458
5. Del Zanna, L., Bucciantini, N., & Londrillo, P. 2003, A&A, 400, 397
6. Duez, M. D., Liu, Y. T., Shapiro, S. L., & Stephens, B. C. 2005, Phys. Rev. D, 72, 024020
7. Eulderink, F., & Mellema, G. 1995, A&AS, 110, 587
8. Fishbone, L. G., & Moncrief, V. 1976, ApJ, 207, 962
9. Fragile, P. C. 2006, in Proc. 22nd Texas Symp. on Relativistic Astrophysics, ed. P. Chen et al. (Menlo Park: SLAC), in press
10. Gammie, C. F., McKinney, J. C., & Tóth, G. 2003, ApJ, 589, 444
11. Gammie, C. F., Shapiro, S. L., & McKinney, J. C. 2004, ApJ, 602, 312
12. Harten, A., Lax, P. D., & van Leer, B. 1983, SIAM Rev., 25, 35
13. Koide, S., Nishikawa, K.-I., & Mutel, R. L. 1996, ApJ, 463, L71
14. Koide, S., Shibata, K., & Kudoh, T. 1999, ApJ, 522, 727
15. Komissarov, S. S. 1999, MNRAS, 303, 343
16. _. 2005, MNRAS, 359, 801
17. McKinney, J. C., & Gammie, C. F. 2004, ApJ, 611, 977
18. Misner, C. J., Thorne, K., & Wheeler, J. A. 1970, Gravitation (San Francisco: Freeman)
19. Press, W. H., Teukolsky, S. A., Vetterling, W. T., & Flannery, B. P. 1992, Numerical Recipes in C: The Art of Scientific Computing (Cambridge: Cambridge Univ. Press)
20. Rade, L., & Westergren, B. 1990, Beta Mathematics Handbook (Boca Raton: CRC Press)
21. Weisstein, E. W. 2004, Cubic Equation (Wolfram MathWorld; Boca Raton: CRC Press), http://mathworld.wolfram.com/CubicEquation.html