The Riemann framework and higher order Godunov schemes for parallel, self-adaptive computational astrophysics

Revista Mexicana de Astronomia y Astrofisica: Serie de Conferencias

Volumn 9, Issue , 2000, Pages 72-76

  Balsara, Dinshaw ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

Hydrodynamics; Methods: numerical; MHD

Indexed keywords

EID: 52049120000     PISSN: 14052059     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (47)

1. Anlies, A. 1989, Relativistic Fluids and Magneto-Fluids (Cambridge: Cambridge University Press)
2. Anlies, A., & Pennisi, S. 1987, Ann. Inst. Henri Poincare, 46, 27
3. Balsara, D. 1994, J. Comp. Phys., 114, 284
4. -. 1997, in ASP Conf. Ser. Vol. 123, Computational Astrophysics, ed. D. A. Clarke & M. J.West (San Francisco: ASP), 274
5. -. 1998a, ApJS, 116, 119
6. -. 1998b, ApJS, 116, 133
7. -. 1999a, JQSRT, 61, 637
8. -. 1999b, JQSRT, 61, 629
9. -. 1999c, JQSRT, 62, 255
10. -. 1999d, JQSRT, 62, 617
11. -. 1999e, JQSRT, 63, 167
12. -. 2000, ApJS, submitted
13. Balsara, D., & Norton, C. D. 2000, Parallel Computation, in press
14. Balsara, D., & Shu, C. W. 2000, J. Comp. Phys. in press
15. Balsara, D., & Spicer, D. S. 1999, J. Comp. Phys., 149, 270
16. Berger, M., & Colella, P. 1989, J. Comp. Phys., 82, 64
17. Berger, M., & Oliger, J. 1984, J. Comp. Phys., 53, 64
18. Brandt, A. 1977, Math. Comp., 31, 333
19. Brio, M., & Wu, C. C. 1988, J. Comp. Phys., 75, 400
20. Dai, W., & Woodward, P. 1994a, J. Comp. Phys., 111, 354
21. -. 1994b, J. Comp. Phys., 115, 484
22. -. 1998, ApJ, 494, 317
23. Eulderink, F., & Mellema, G. 1994, A&A, 284, 654
24. Falle, S. A. E. G., & Komissarov, S. S. 1997, in ASP Conf. Ser. Vol. 123, Computational Astrophysics, ed. D. A. Clarke & M. J. West (San Francisco: ASP), 66
25. Falle, S. A. E. G., & Komissarov, S. S. 1996, MNRAS, 278, 586
26. Godunov, S. K. 1959, Mat. Sb., 47, 271
27. Harten, A. 1982, On Second Order Accurate Godunov Type Schemes (unpublished)
28. Harten, A., Engquist, B., Osher, S., & Chakravarthy, S. 1987, J. Comp. Phys., 71, 231
29. Jeffrey, A., & Taniuti, T. 1964, Nonlinear Wave Propagation (New York: Academic Press)
30. Jiang, G. S., & Shu, C. W. 1996, J. Comp. Phys., 126, 202
31. Jiang, G. S., & Wu, C. C. 1999, J. Comp. Phys., 150, 561
32. LeVeque, R. 1997, in Computational Methods for Astrophysical Fluid Flow, ed. O. Steiner & A. Gautschy (Berlin: Springer), 1
33. Liu, X. D., Osher, S., & Chan, T. 1994, J. Comp. Phys., 115, 200
34. Lichnerowicz, A. 1967, Relativistic Hydrodynamics and Magnetohydrodynamics (New York: Benjamin)
35. Martí, J., Müller, E., & Ibáñez, J. 1994, A&A, 281, L9
36. Mihalas, D., & Mihalas, B. W. 1984, Fundamentals of Radiation Hydrodynamics (Oxford: Oxford University Press)
37. Myong, R. S. 1996, Ph.D. Thesis, University of Michigan
38. Powell, K. 1994, ICASE Report,#94-24
39. Roe, P. 1981, J. Comp. Phys., 53, 357
40. Roe, P., & Balsara, D. 1996, SIAM J. Appl. Math., 56, 57
41. Ryu, D., & Jones, T. W. 1995, ApJ, 442, 228
42. Ryu, D., Miniati, F., Jones, T. W., & Frank, A. 1998, ApJ, 504, 244
43. Shu, C. W., & Osher, S. 1988, J. Comp. Phys., 77, 439
44. -. 1989, J. Comp. Phys., 83, 52
45. van Leer, B. 1979, J. Comp. Phys., 32, 101
46. Zachary, A., & Colella, P. 1992, J. Comp. Phys., 99, 341
47. Zachary, A., Malagoli, A., & Colella, P. 1994, SIAM J. Sci. Comp., 15, 263