Extension of the piecewise parabolic method to one-dimensional relativistic hydrodynamics

Journal of Computational Physics

Volumn 123, Issue 1, 1996, Pages 1-14

  Martí, José Ma ^a,b   Müller, Ewald ^b  

^a UNIVERSITY OF VALENCIA   (Spain)

^b MAX PLANCK INSTITUT FÜR ASTROPHYSIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

GODUNOV METHOD; ONE-DIMENSIONAL; PIECEWISE PARABOLIC METHOD; RELATIVISTIC HYDRODYNAMICS; RELATIVISTICS; RIEMANN SOLVER; WOODWARD;

HYDRODYNAMICS;

EID: 0029691121     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1996.0001     Document Type: Article

References (28)

1. 1. S. Phinney, in Superluminal Radio Sources, edited by J. A. Zensus and T. J. Pearson (Cambridge Univ. Press, Cambridge, UK, 1987).
2. 2. D. Strottman, in Relativistic Fluid Dynamics, edited by A. Anile and Y. Choquet-Bruhat (Springer-Verlag, New York/Berlin, 1989).
3. 3. J. R. Wilson, Astrophys. J. 173, 431 (1972).
4. 4. J. R. Wilson, in Sources of Gravitational Radiation, edited by L. L. Smarr (Cambridge Univ. Press, Cambridge, UK, 1979).
5. 5. J. Centrella and J. R. Wilson, Astrophys. J. Suppl. Ser. 54, 229 (1984).
6. 6. J. F. Hawley, L. L. Smarr, and J. R. Wilson, Astrophys. J. Suppl. Ser. 55, 211 (1984).
7. 7. J. von Neumann and R. D. Richtmyer, J. Appl. Phys. 21, 232 (1950).
8. 8. M. L. Norman and K.-H. A. Winkler, in Astrophysical Radiation Hydrodynamics, edited by M. L. Norman and K.-H. A. Winkler (Reidel, Dordrecht, 1986).
9. 9. J. Ma. Martí, J. Ma. Ibáñez, J. A. Miralles, Phys. Rev. D 43, 3794 (1991).
10. 10. M. R. Dubal, Comput. Phys. Commun. 64, 221 (1991).
11. 11. P. J. Mann, Comput. Phys. Commun. 67, 245 (1991).
12. 12. A. Marquina, J. Ma. Martí, J. Ma. Ibáñez, J. A. Miralles, and R. Donat, Astron. Astrophys. 258, 566 (1992).
13. 13. M. H. P. M. van Putten, J. Comput. Phys. 105, 339 (1993).
14. 14. V. Schneider, U. Katscher, D. H. Rischke, B. Waldhauser, J. A. Maruhn, and C.-D. Munz, J. Comput. Phys. 105, 92 (1993).
15. 15. F. Eulderink, Ph.D. thesis, Rijksuniversiteit te Leiden, 1993 (unpublished).
16. 16. R. J. LeVeque, Numerical Methods for Conservation Laws (Birkhäuser, Basel, 1992).
17. 17. J. Ma. Martí and E. Müller, J. Fluid Mech. 258, 317 (1994).
18. 18. K. W. Thompson, J. Fluid Mech. 171, 365 (1986).
19. 19. B. J. Plohr and D. H. Sharp, in The VIIIth International Conference on Mathematical Physics, edited by M. Mebkhout and R. Sénéor (World Scientific, Singapore, 1987).
20. 20. P. Colella and P. R. Woodward, J. Comput. Phys. 54, 174 (1984).
21. 21. S. K. Godunov, Mat. Sb. 47, 271 (1959).
22. 22. P. R. Woodward and P. Colella, J. Comput. Phys. 54, 115 (1984).
23. 23. P. R. Woodward, in Parallel Computation, edited by G. Rodrigue, (Academic Press, New York/London, 1982).
24. 24. R. Courant and K. O. Friedrichs, Supersonic Flow and Shock Waves (Springer-Verlag, New York/Berlin, 1976).
25. 25. G. E. Forsythe, M. A. Malcolm, and C. B. Moler, Computer Methods for Mathematical Computations (Prentice-Hall, Englewood Cliffs, NJ, 1977).
26. 26. P. Colella and H. M. Glaz, J. Comput. Phys. 59, 264 (1985).
27. 27. T. L. McAbee, J. R. Wilson, J. A. Zingman, and C. T. Alonso, Mod. Phys. Lett. A 4, 983 (1989).
28. 28. J. Ma. Martí, E. Müller, and J. Ma. Ibáñez, Astron. Astrophys. 281, L9 (1994).