wham: A WENO-based general relativistic numerical scheme - I. Hydrodynamics

Monthly Notices of the Royal Astronomical Society

Volumn 379, Issue 2, 2007, Pages 469-497

  Tchekhovskoy, Alexander ^a   McKinney, Jonathan C ^a   Narayan, Ramesh ^a  

^a HARVARD SMITHSONIAN CENTER FOR ASTROPHYSICS   (United States)

Author keywords

Accretion, accretion discs; Black hole physics; Galaxies: jets; Hydrodynamics; Methods: numerical; MHD

Indexed keywords

BLACK HOLES; FIGHTER AIRCRAFT; GALAXIES; GAMMA RAYS; MAGNETOPLASMA; NUMERICAL METHODS; PLASMA JETS; STARS;

ACCRETION: ACCRETION DISKS; ACTIVE GALACTIC NUCLEI; BLACK HOLE PHYSICS; CONSERVED QUANTITY; ENERGY SCALE; ESSENTIALLY NON-OSCILLATORY; GALAXIES JETS; METHOD: NUMERICAL; NUMERICAL SCHEME; RELATIVISTICS;

MAGNETOHYDRODYNAMICS;

EID: 34547446765     PISSN: 00358711     EISSN: 13652966     Source Type: Journal    
DOI: 10.1111/j.1365-2966.2007.11876.x     Document Type: Article

References (95)

1. Aloy M. A., Ibáñez J. M., Martí J. M., Müller E., 1999, ApJS, 122, 151
2. Aloy M. A., Müller E., Ibáñez J. M., Martí J. M., MacFadyen A., 2000, ApJ, 531, L119
3. Aloy M. A., Janka H.-T., Müller E., 2005, A&A, 436, 273
4. Anderson M., Hirschmann E. W., Liebling S. L., Neilsen D., 2006, Class. Quantum Gravity, 23, 6503
5. Balbus S. A., Hawley J. F., 1991, ApJ, 376, 214
6. Balsara D. S., Shu C.-W., 2000, J. Comput. Phys., 160, 405
7. Beskin V., Tchekhovskoy A., 2005, A&A, 433, 619
8. Blandford R. D., Payne D. G., 1982, MNRAS, 199, 883
9. Blandford R. D., Znajek R. L., 1977, MNRAS, 179, 433
10. Blondin J. M., Lufkin E. A., 1993, ApJS, 88, 589
11. Blondin J. et al., 1991, VH-1: The Virginia Numerical Bull Session Ideal Hydrodynamics PPMLR, http://wonka.physics.ncsu.edu/pub/VH-1/index.html
12. Bondi H., 1952, MNRAS, 112, 195
13. Bryan G. L., Norman M. L., Stone J. M., Cen R., Ostriker J. P., 1995, Comput. Phys. Commun., 89, 149
14. Bucciantini N., Thompson T. A., Arons J., Quataert E., Del Zanna L., 2006, MNRAS, 368, 1717
15. Colella P., Woodward P. R., 1984, J. Comput. Phys., 54, 174
16. De Villiers J.-P., Hawley J. F., 2003, ApJ, 589, 458
17. De Villiers J.-P., Hawley J. F., Krolik J. H., 2003, ApJ, 599, 1238
18. Del Zanna L., Bucciantini N., 2002, A&A, 390, 1177
19. Feng L.-L., Shu C.-W., Zhang M., 2004, ApJ, 612, 1
20. Fishbone L. G., Moncrief V., 1976, ApJ, 207, 962
21. Font J. A., 2003, Living Rev. Relativ., 6, 4
22. Fryxell B. et al., 2000, ApJS, 131, 273
23. Gammie C. F., McKinney J. C., Tóth G., 2003, ApJ, 589, 444
24. Gammie C. F., Shapiro S. L., McKinney J. C., 2004, ApJ, 602, 312
25. Gardiner T. A., Stone J. M., 2005, J. Comput. Phys., 205, 509
26. Giacomazzo B., Rezzolla L., 2006, J. Fluid Mech., 562, 223
27. Goldreich P., Julian W. H., 1969, ApJ, 157, 869
28. Ha Y., Gardner C. L., Gelb A., Shu C.-W., 2005, J. Sci. Comput., 24, 597
29. Harten A., 1983, J. Comput. Phys., 49, 357
30. Harten A., Engquist B., Osher S., Chakravarthy S. R., 1987, J. Comput. Phys., 71, 231
31. Hawley J. F., 2000, ApJ, 528, 462
32. Hawley J. F., Wilson J. R., Smarr L. L., 1984, ApJ, 277, 296
33. Hirose S., Krolik J. H., De Villiers J.-P., Hawley J. F., 2004, ApJ, 606, 1083
34. Igumenshchev I. V., Narayan R., Abramowicz M. A., 2003, ApJ, 592, 1042
35. Jiang G., Shu C.-W., 1996, J. Comput. Phys., 126, 202
36. Jiang G., Tadmor E., 1998, SIAM J. Sci. Comput., 19, 1892
37. Koide S., 2003, Phys. Rev. D, 67, 104010
38. Koide S., Shibata K., Kudoh T., Meier D. L., 2002, Sci, 295, 1688
39. Komissarov S. S., 2002, MNRAS, 336, 759
40. Komissarov S. S., 2005, MNRAS, 359, 801
41. Komissarov S. S., 2006, MNRAS, 367, 19
42. Komissarov S. S., McKinney J. C., 2007, MNRAS, 377, L49
43. Krolik J. H., 1999, in Krolik J. H., ed., Active Galactic Nuclei: From the Central Black Hole to the Galactic Environment. Princeton Univ. Press, Princeton, NJ, c1999
44. Landau L. D., Lifshitz E. M., 1975, The Classical Theory of Fields. Course of Theoretical Physics - Pergamon International Library of Science, Technology, Engineering and Social Studies, 4th revised and enlarged ed. Pergamon Press, Oxford
45. Latini M., Schilling O., Don W. S., 2007, J. Comput. Phys., 221, 805
46. Leismann T., Aloy M.-A., Müller E., 2004, Ap&SS, 293, 157
47. LeVeque R. J., 1991, Numerical Methods for Conservation Laws. Birhkhäuser, Basel
48. Lewin W. H. G., van Paradijs J., van den Heuvel E. P. J., 1995, in Lewin W. H. G., van Paradijs J., van den Heuvel E. P. J., eds, Cambridge Astrophysics Series, X-ray Binaries. Cambridge Univ. Press, Cambridge, - c1995
49. Liska R., Wendroff B., 2003a, Comparison of Several Difference Schemes on 1D and 2D Test Problems for the Euler Equations, http://www-troja.fjfi.cvut.cz/ liska/CompareEuler/compare8 (LW03)
50. Liska R., Wendroff B., 2003b, SIAM J. Sci. Comput., 25, 995
51. Liu X.-D., Osher S., 1998, J. Comput. Phys., 142, 304
52. Lucas-Serrano A., Font J. A., Ibáñez J. M., Martí J. M., 2004, A&A, 428, 703
53. Martí J. M., Müller E., 2003, Living Rev. Relativ., 6, 7
54. Marti J. M. A., Mueller E., Font J. A., Ibanez J. M. A., Marquina A., 1997, ApJ, 479, 151
55. Mary I., Sagaut P., Deville M., 2000, Int. J. Numer. Methods Fluids, 34, 371
56. McKinney J. C., 2005, ApJ, 630, L5
57. McKinney J. C., 2006a, MNRAS, 367, 1797
58. McKinney J. C., 2006b, MNRAS, 368, 1561
59. McKinney J. C., 2006c, MNRAS, 368, L30
60. McKinney J. C., Gammie C. F., 2004, ApJ, 611, 977
61. McKinney J. C., Narayan R., 2007a, MNRAS, 375, 513
62. McKinney J. C., Narayan R., 2007b, MNRAS, 375, 531
63. Mignone A., McKinney J. C. 2007, MNRAS, 378, 1118
64. Mignone A., Plewa T., Bodo G., 2005, ApJS, 160, 199
65. Misner C. W., Thorne K. S., Wheeler J. A., 1973, Gravitation. Freeman & Co., San Francisco, 1973
66. Mizuno Y., Nishikawa K.-I., Koide S., Hardee P., Fishman G. J., 2006, ApJS, submitted ()
67. Morsony B. J., Lazzati D., Begelman M. C., 2006, ApJ, in press ()
68. Narayan R., McKinney J. C., Farmer A. J., 2007, MNRAS, 375, 548
69. Noble S. C., Gammie C. F., McKinney J. C., Del Zanna L., 2006, ApJ, 641, 626
70. Noelle S., Pankratz N., Puppo G., Natvig J. R., 2006, J. Comput. Phys., 213, 474
71. Noh W. F., 1987, J. Comput. Phys., 72, 78
72. Novikov I. D., Thorne K. S., 1973, in De Witt C., De Witt B. S., eds, Black Holes-Les Astres Occlus. Gordon & Breach, New York
73. Phinney E. S., 1983, PhD thesis
74. Press W. H., Teukolsky S. A., Vetterling W. T., Flannery B. P., 1992, Numerical Recipes in C: The Art of Scientific Computing. Cambridge Univ. Press, New York
75. Qiu J., Shu C.-W., 2002, J. Comput. Phys., 183, 187
76. Qiu J.-M., Shu C.-W., Feng L.-L., Fang L.-Z., 2006, New Astron., 12, 1
77. Rahman T., Moore R. B., 2005, online-only reference ()
78. Ryu D., Ostriker J. P., Kang H., Cen R., 1993, ApJ, 414, 1
79. Shakura N. I., Sunyaev R. A., 1973, A&A, 24, 337
80. Shi J., Hu C., Shu C.-W., 2002, J. Comput. Phys., 175, 108
81. Shu C.-W., 1997, Technical report, Essentially Non-Oscillatory and Weighted Essentially Non-Oscillatory Schemes for Hyperbolic Conservation Laws, http://hdl.handle.net/2002/14650, NASA Langley Research Center
82. Shu C.-W., Osher S., 1988, J. Comput. Phys., 77, 439
83. Shu C.-W., Osher S., 1989, J. Comput. Phys., 83, 32
84. Sod G. A., 1978, J. Comput. Phys., 27, 1
85. Spitkovsky A., 2006, ApJ, 648, L51
86. Stone J. M., 2006, The athena Test Suite, http://www.astro.princeton.edu/ jstone/tests
87. Stone J. M., Norman M. L., 1992, ApJS, 80, 753
88. Thompson J. F., Warsi Z. U., Mastin C. W., 1985, Numerical Grid Generation: Foundations and Applications. Elsevier North-Holland, Inc., New York
89. Titarev V. A., Toro E. F., 2004, J. Comput. Phys., 201, 238
90. Toro E., 1997, Riemann Solvers and Numerical Methods for Fluid Dynamics. Springer-Verlag, Berlin, Heidelberg
91. Toro E. F., Titarev V. A., 2006, J. Comput. Phys., 212, 150
92. Trac H., Pen U.-L., 2004, New Astron., 9, 443
93. Woosley S. E., 1993, ApJ, 405, 273
94. Xing Y., Shu C.-W., 2006, J. Comput. Phys., 214, 567
95. Zhang W., MacFadyen A. I., 2006, ApJS, 164, 255 (ZM06)