Three-dimensional numerical general relativistic hydrodynamics: Formulations, methods, and code tests

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 61, Issue 4, 2000, Pages

  Font, JoséA ^a   Miller, Mark ^a   Suen, Wai Mo ^a   Tobias, Malcolm ^a  

^a ALBERT EINSTEIN INSTITUT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 16644402230     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.61.044011     Document Type: Article

References (75)

1. C. Bona, J. Massó, E. Seidel, and P. Walker, gr-qc/9804052.
2. See AIP Document No. EPAPS: E-PRVDAQ-61-029004
3. Technical report (unpublished) for a summary of the present and planned high energy missions, see, e.g., http://heasarc.gsfc.nasa.gov/docs/heasarc/missions.html
4. B. Paczynski, Fourth Huntsville Gamma-Ray Burst Symposium (American Institute of Physics, College Park, Maryland, 1997).
5. Technical report (unpublished), NASA publication NP-152; Report on the ad hoc committee on gravitation physics and astrophysics, NASA, 1990.
6. A. A. Abramovici, Science 256, 325 (1992).
7. Report, Max Planck Institut fur quantenoptik, MPQ 177, 1993 (unpublished).
8. K. Thorne, in Proceedings of the Snowmass 95 Summer Study on Particle and Nuclear Astrophysics and Cosmology, edited by E. W. Kolb and R. Peccei (World Scientific, Singapore, 1996).
9. C. Cutler, Phys. Rev. Lett. 70, 2984 (1993).
10. B. F. Schutz, Nature (London) 323, 310 (1986).
11. M. M. May and R. H. White, Phys. Rev. 141, 1232 (1966).
12. J. R. Wilson, Astrophys. J. 173, 431 (1972).
13. T. Nakamura, Prog. Theor. Phys. 65, 1876 (1981).
14. R. F. Stark and T. Piran, Phys. Rev. Lett. 55, 891 (1985).
15. C. Evans, in Dynamical Spacetimes and Numerical Relativity, edited by J. Centrella (Cambridge University Press, Cambridge, England, 1986), pp. 3–39.
16. J. Hawley, L. Smarr, and J. Wilson, Astrophys. J. 277, 296 (1984).
17. L. I. Petrich, S. L. Shapiro, R. F. Stark, and S. A. Teukolsky, Astrophys. J. 336, 313 (1989).
18. J. Centrella and J. Wilson, Astrophys. J., Suppl. Ser. 54, 229 (1984).
19. J. R. Wilson, in Sources of Gravitational Radiation, edited by L. Smarr (Cambridge University Press, Cambridge, England, 1979), p. 275.
20. J. Hawley, Astrophys. J. 381, 496 (1991).
21. P. G. Dykema, Ph.D. thesis, University of Texas at Austin, 1980.
22. S. L. Shapiro and S. A. Teukolsky, Astrophys. J. 235, 199 (1980).
23. C. R. Evans, Ph.D. thesis, University of Texas at Austin, 1984.
24. P. J. Schinder, S. A. Bludmann, and T. Piran, Phys. Rev. D 37, 2722 (1988).
25. A. Mezzacappa and R. A. Matzner, Astrophys. J. 343, 853 (1989).
26. T. Nakamura and M. Sasaki, Phys. Lett. 106B, 69 (1981).
27. A. M. Abrahams, G. B. Cook, S. L. Shapiro, and S. A. Teukolsky, Phys. Rev. D 49, 5153 (1994).
28. J. R. Wilson and G. J. Mathews, Phys. Rev. Lett. 75, 4161 (1995).
29. J. R. Wilson, G. J. Mathews, and P. Marronetti, Phys. Rev. D 54, 1317 (1996).
30. K.-I. Oohara and T. Nakamura, in Relativistic Gravitation and Gravitational Radiation, edited by J.-P. Lasota and J.-A. Marck (Cambridge University Press, Cambridge, England, 1997).
31. B. J. van Leer, J. Comput. Phys. 23, 276 (1977).
32. R. J. Leveque, Numerical Methods for Conservation Laws (Birkhauser Verlag, Basel, 1992).
33. M. L. Norman and K.-H. A. Winkler, in Astrophysical Radiation Hydrodynamics, edited by M. L. Norman and K.-H. A. Winkler (Reidel, Dordrecht, Holland, 1986).
34. J. M. Martí, J. M. Ibánez, and J. A. Miralles, Phys. Rev. D 43, 3794 (1991).
35. C. Bona, J. Ibánez, J. Martí, and J. Massó, in Gravitation and General Relativity: Rotating Bodies and Other Topics, edited by F. Chinea, Lecture Notes in Physics Vol. 423 (Springer-Verlag, New York, 1993), Chap. Shock Capturing Methods in 1D Numerical Relativity.
36. J. V. Romero, J. M. Ibánez, J. M. Martí, and J. A. Miralles, Astrophys. J. 462, 839 (1996).
37. J. M. Bardeen and T. Piran, Phys. Rep. 196, 205 (1983).
38. F. Banyuls, Astrophys. J. 476, 221 (1997).
39. S. Brandt, gr-qc/9807017.
40. E. Gourgoulhon, Astron. Astrophys. 252, 651 (1991).
41. S. Bonazzola, E. Gourgoulhon, and J.-A. Marck, Phys. Rev. D 58, 104020 (1998).
42. J. Ibánez and J. Martí, J. Comput. Appl. Math. 109, 173 (1999).
43. J. Balakrishna, Class. Quantum Grav. 13, L135 (1996).
44. A. C. Calder, F. D. Swesty, and E. Y. M. Wang, in the proceedings of the Second Oak Ridge Symposium on Atomic and Nuclear Astrophysics, astro-ph/9806019.
45. R. Arnowitt, S. Deser, and C. W. Misner, in Gravitation: An Introduction to Current Research, edited by L. Witten (John Wiley, New York, 1962), pp. 227–265.
46. P. L. Roe, J. Comput. Phys. 43, 357 (1981).
47. F. Eulderink and G. Mellema, Astron. Astrophys. 284, 652 (1994).
48. R. Donat and A. Marquina, J. Comput. Phys. 125, 42 (1996).
49. E. Seidel and W.-M. Suen, J. Comput. Appl. Math. (to be published).
50. The Message Passing Interface (MPI) standard, http://www.ncs.anl.gov/mpi/
51. J. Massó and P. Walker (unpublished).
52. J. M. Martí and E. Müller, J. Comput. Phys. 123, 1 (1996).
53. L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon, Oxford, 1987).
54. C. Bona, in Relativity and Scientific Computing, edited by F. Hehl (Springer-Verlag, Berlin, 1996).
55. O. Reula, Living Reviews in Relativity 1, (1998).
56. R. D. Richtmyer and K. Morton, Difference Methods for Initial Value Problems (Interscience Publishers, New York, 1967).
57. J. York, in Sources of Gravitational Radiation, edited by L. Smarr (Cambridge University Press, Cambridge, England, 1979).
58. C. Bona, J. Massó, E. Seidel, and J. Stela, Phys. Rev. D 56, 3405 (1997).
59. B. J. van Leer, J. Comput. Phys. 32, 101 (1979).
60. J. Font, J. Ibánez, J. Martí, and A. Marquina, Astron. Astrophys. 282, 304 (1994).
61. C. Hirsch, in Numerical Computation of Internal and External Flows, edited by R. Gallagher and O. Zienkiewicz (Wiley-Interscience, New York, 1992).
62. C. W. Shu and S. J. Osher, J. Comput. Phys. 83, 32 (1989).
63. R. Donat, J. A. Font, J. M. Ibánez, and A. Marquina, J. Comput. Phys. 146, 58 (1998).
64. J. M. Martí, Astrophys. J. 479, 151 (1997).
65. G. Strang, SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 5, 506 (1968).
66. V. Schneider, J. Comput. Phys. 105, 92 (1990).
67. B. Schutz, A First Course in General Relativity (Cambridge University Press, Cambridge, England, 1985).
68. K. C. B. New, K. Watt, C. W. Misner, and J. M. Centrella, Phys. Rev. D 58, 064022 (1998).
69. R. C. Tolman, Phys. Rev. 55, 364 (1939).
70. J. R. Oppenheimer and G. Volkoff, Phys. Rev. 55, 374 (1939).
71. S. L. Shapiro and S. A. Teukolsky, in Dynamical Spacetimes and Numerical Relativity, edited by J. M. Centrella (Cambridge University Press, Cambridge, England, 1986), pp. 74–100.
72. C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973).
73. P. Lax, Commun. Pure Appl. Math. 9, 135 (1956).
74. J. A. Font and J. Massó, Proceedings of the 8th Marcel Grossmann Meeting on General Relativity (World Scientific, Singapore, 1997).
75. The source and documentation of the released code can be downloaded at http://wugrav.wustl.edu/Codes/GR3D. For credit of the code development, see the document http://wugrav.wustl.edu/Codes/GR3D/nasa_ms2.ps