Shock-capturing schemes in computational MHD

Lecture Notes in Physics

Volumn 754, Issue , 2008, Pages 71-101

  Mignone, A ^a,b   Bodo, G ^a  

^a OSSERVATORIO ASTRONOMICO DI TORINO   (Italy)

^b UNIVERSITY OF GENOA   (Italy)

Author keywords

Magnetohydrodynamics (MHD); Methods: Numerical; Shock waves; Waves

Indexed keywords

EID: 48349114530     PISSN: 00758450     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-76967-5_2     Document Type: Review

References (51)

1. Balsara, D.S., ApJS, 116, 133 (1998) 82
2. Balsara, D.S., & Spicer, D.S., JCP, 149, 270 (1999) 71, 77
3. Batten, P., Clarke, N., Lambert, C., & Causon, D.M., SIAM JSCom, 18 1553 (1997) 72, 96, 97
4. BrackBill, J.U., & Barnes, D.C., JCP, 35, 426 (1980) 72, 91, 93, 94
5. Brio, M., & Wu, C.C., JCP, 75, 400 (1988) 71, 75, 89
6. Cargo, P., & Gallice, G., JCP, 136, 446 (1997) 89
7. Dai, W., & Woodward, P.R., JCP, 111, 354 (1994) 75, 76, 79
8. Dai, W., & Woodward, P.R., JCP, 115, 485 (1994) 75, 79
9. Dai, W., & Woodward, P.R., SIAM JSCom, 18, 957 (1997) 75, 79
10. Dai, W., & Woodward, P.R., ApJ, 494, 317 (1998) 71, 96, 97
11. Dai W., & Woodward, P.R., JCP, 142, 331 (1998) 96, 97
12. Davis, S.F., SIAM JSSCom, 9, 445 (1988) 72, 93
13. Dedner, A., Kemm, F., Kröner, D., Munz, C.-D., Schnitzer, T., & Wesenberg M., JCP, 175, 645 (2002) 99
14. Del Zanna, L., Bucciantini, N., & Londrillo, P., A & A, 400, 397 (2003) 99
15. Del Zanna, L., Zanotti, O., Bucciantini, N., & Londrillo, P., A & A, 473, 11 (2007) 81
16. Einfeldt, B., SIAM JNM, 25, 294 (1988) 81
17. Evans, C. R., & Hawley J.F., JCP, 332, 659 (1988) 72, 95
18. Falle, S.A.E.G., Komissarov, S.S., & Joarder, P., MNRAS, 297, 265 (1998) 75, 77, 79
19. Gardiner, T.A., & Stone, J.M., JCP, 205, 509 (2005) 72, 98, 99
20. Godunov, S.K., DoKAN, SSSR, 139, 521 (1972) 93
21. Gurski, K.F., SIAM JSCom, 25, 2165 (2004) 83, 84
22. Harten A., JCP, 49, 357 (1983) 80
23. Harten, A., Lax, P.D., & van Leer, B., SIAMR, 25, 35 (1983) 93
24. Hestenes, M.R., & Stiefel, E., JRNBS, 49, 409 (1954) 95
25. Jeffrey A., & Taniuti T., Non-linear wave propagation. Academic Press, New York, (1964) 76, 77
26. Kennel, C.F., Blandford, R.D., & Coppi, P., JPlPh, 42, 299 (1989) 77
27. Lax, P.D., CPAM, VII, 159 (1954) 80
28. Lee, D., An Unsplit Staggered Mesh Scheme For Multidimensional Magnetohydrodynamics: A Staggered Dissipation-control Differencing Algorithm Ph.D. Thesis, University of Maryland (College Park, Md.) (2006) 83, 84
29. Li, S., JCP, 203, 344 (2005) 72, 98
30. Londrillo, P., & Del Zanna, L., ApJ, 530, 508 (2000) 98, 99
31. Londrillo, P., & Del Zanna, L., JCP, 195, 17 (2004) 83
32. Mignone, A., & Bodo, G., MNRAS, 364, 126 (2005) 83, 84
33. Mignone, A., & Bodo, G., MNRAS, 368, 1040 (2006) 83, 88
34. Mignone, A., JCP, 225, 1427 (2007) 75
35. Mignone, A., Bodo, G., Massaglia, S., Matsakos, T., Tesileanu, O., Zanni, C., & Ferrari, A., ApJS, 170, 228 (2007) 85
36. Miyoshi, T., & Kusano, K., JCP, 208, 315 (2005) 72, 92
37. Powell, K.G., ICASE report 94-24, 1994 89, 92
38. Powell, K.G., Roe, P.L., Linde, T.J., Gombosi, T.I., & De Zeeuw D.L., JCP, 154, 284 (1999) 91
39. Quirk, J.J., IJNMJ, 18, 555 (1994) 88
40. Roe, P.L., JCP, 43, 357 (1981) 71, 91
41. Roe, P.L., & Balsara, D.S., SIAM JAM, 56, 57 (1996) 80
42. Rusanov, V.V., J. Comput. Math. Phys. USSR, 1, 267 (1961) 71, 75, 79, 89
43. Ryu, D., & Jones, T.W., ApJ, 442, 228 (1995) 96
44. Ryu, D., Miniati D., Jones, T.W., & Frank, A., ApJ, 509, 244 (1998) 89
45. Tanaka, T., JCP, 111, 381 (1994) 81, 82
46. Toro, E. F., Spruce, M., & Speares, W., ShWav, 4, 25 (1994) 81, 83, 88
47. Toro, E.F., Riemann solvers and numerical methods for fluid dynamics. Springer-Verlag, Berlin, (1997) 77, 78
48. Torrilhon, M., JPlPh, 69, 253 (2003) 93, 94
49. Tóth, G., JCP, 161, 605 (2000) 95
50. van der Vorst, H.A., SIAM JSSCom, 13, 631 (1992) 71, 75
51. Zachary, A.L., Malagoli, A., & Colella, P., SIAM JSCom, 15, 263 (1994) 99