Numerical relativistic hydrodynamics based on the total variation diminishing scheme

New Astronomy

Volumn 11, Issue 2, 2005, Pages 116-129

  Choi, Eunwoo ^a   Ryu, Dongsu ^b  

^a GEORGIA STATE UNIVERSITY   (United States)

^b Chungnam National University   (South Korea)

Author keywords

Hydrodynamics; Numerical methods; Relativity

Indexed keywords

ASTROPHYSICS; CODES (SYMBOLS); COMPUTER SIMULATION; GALAXIES; JETS; NUMERICAL METHODS; RELATIVITY; ROBUSTNESS (CONTROL SYSTEMS);

EXTRAHALACTIC JET; HYDRODYNAMIC EQUATIONS; HYPERBOLIC SYSTEM; TOTAL VARIATION DIMINISHING (TVD);

HYDRODYNAMICS;

EID: 27144549203     PISSN: 13841076     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.newast.2005.06.010     Document Type: Article

References (24)

1. M.A. Abramowitz, and I.A. Stegun Handbook of Mathematical Functions 1972 Dover Publishing Company Dover
2. M.A. Aloy, J.M. Ibáñez, J.M. Martí, and E. Müller ApJS 122 1999 151
3. R.D. Blandford, and C.F. McKee Phys. Fluids 19 1976 1130
4. A. Burrows Nature 403 2000 727
5. P. Colella, and P.R. Woodward J. Comput. Phys. 54 1984 174
6. A. Dolezal, and S.S.M. Wong J. Comput. Phys. 120 1995 266
7. R. Donat, J.A. Font, J.M. Ibáñez, and A. Marquina J. Comput. Phys. 146 1998 58
8. G.C. Duncan, and P.A. Hughes ApJ 436 1994 L119
9. F. Eulderink, and G. Mellema A&AS 110 1995 587
10. A. Harten J. Comput. Phys. 49 1983 357
11. A. Harten, B. Engquist, S. Osher, and S.R. Chakravarthy J. Comput. Phys. 71 1987 231
12. J.F. Hawley, and N.J. Zabusky Phys. Rev. Lett. 63 1989 1241
13. J.M. Martí, and E. Müller J. Fluid Mech. 258 1994 317
14. J.M. Martí, and E. Müller J. Comput. Phys. 123 1996 1
15. J.M. Martí, and E. Müller Living Rev. Relativity 6 2003 7
16. P. Mészáros ARA&A 40 2002 137
17. I.F. Mirabel, and L.F. Rodríguez ARA&A 37 1999 409
18. P.L. Roe J. Comput. Phys. 43 1981 357
19. D. Ryu, J.P. Ostriker, H. Kang, and R. Cen ApJ 414 1993 1
20. V. Schneider, U. Katscher, D.H. Rischke, B. Waldhauser, J.A. Maruhn, and C.-D. Munz J. Comput. Phys. 105 1993 92
21. G. Strang SIAM J. Numer. Anal. 5 1968 506
22. K.W. Thompson J. Fluid Mech. 171 1986 365
23. J.R. Wilson, and G.J. Mathews Relativistic Numerical Hydrodynamics 2003 Cambridge University Press Cambridge
24. J.A. Zensus ARA&A 35 1997 607