High-order Godunov schemes for global 3D MHD simulations of accretion disks: I. Testing the linear growth of the magneto-rotational instability

Astronomy and Astrophysics

Volumn 516, Issue 18, 2010, Pages

  Flock, M ^a   Dzyurkevich, N ^a   Klahr, H ^a   Mignone, A ^b  

^a MAX PLANCK INSTITUT FÜR ASTRONOMIE   (Germany)

^b UNIVERSITY OF TURIN   (Italy)

Author keywords

accretion, accretion disks; magnetohydrodynamics (MHD); methods: numerical

Indexed keywords

DISKS (STRUCTURAL COMPONENTS); MAGNETOS; NUMERICAL METHODS; ROTATING DISKS; THREE DIMENSIONAL;

ACCRETION , ACCRETION DISKS; ACCRETION DISKS; ANALYTICAL SOLUTIONS; BENCHMARK TESTS; CODE CONFIGURATION; GODUNOV SCHEME; HIGH-ORDER; LINEAR GROWTH; MAGNETIC ENERGIES; MAGNETOHYDRODYNAMICS (MHD); METHODS: NUMERICAL; MHD SIMULATION; MOTIVE FORCES; NUMERICAL DISSIPATION; NUMERICAL INSTABILITY; REALISTIC MODELING; TRANSPORT SCHEMES;

MAGNETOHYDRODYNAMICS;

EID: 77957844131     PISSN: 00046361     EISSN: 14320746     Source Type: Journal    
DOI: 10.1051/0004-6361/200912443     Document Type: Article

References (60)

1. Balbus, S. A., & Hawley, J. F. 1991, ApJ, 376, 214
2. Balbus, S. A., & Hawley, J. F. 1998, Rev. Mod. Phys., 70, 1
3. Balsara, D. S. 2004, ApJS, 151, 149
4. Balsara, D. S., & Spicer, D. S. 1999, J. Comput. Phys., 149, 270
5. Blaes, O. M., & Balbus, S. A. 1994, ApJ, 421, 163
6. Brandenburg, A., Nordlund, A., Stein, R. F., & Torkelsson, U. 1995, ApJ, 446, 741
7. Brecht, S. H., Lyon, J., Fedder, J. A., & Hain, K. 1981, Geophys. Res. Lett., 8, 397
8. Cargo, P., & Gallice, G. 1997, J. Comput. Phys., 136, 446
9. Dai, W., & Woodward, P. R. 1998, ApJ, 494, 317
10. Davis, S. W., Stone, J. M., & Pessah, M. E. 2010, ApJ, 713, 52
11. Dedner, A., Kemm, F., Kröner, D., et al. 2002, J. Comput. Phys., 175, 645
12. Del Zanna L., & Bucciantini N. 2002, A&A, 390, 1177
13. Devore, C. R. 1991, J. Comput. Phys., 92, 142
14. Dzyurkevich, N., Flock, M., Turner, N. J., Klahr, H., & Henning, Th. 2010, A&A, 515, A70
15. Evans, C. R., & Hawley, J. F. 1988, ApJ, 332, 659
16. Falle, S. A. E. G. 2002, ApJ, 577, L123
17. Flaig, M., Kissmann, R., & Kley, W. 2009, MNRAS, 282
18. Fleming, T. P., Stone, J. M., & Hawley, J. F. 2000, ApJ, 530, 464
19. Fromang, S., & Nelson, R. P. 2006, A&A, 457, 343
20. Fromang, S., & Nelson, R. P. 2009, A&A, 496, 597
21. Fromang, S., & Papaloizou, J. 2007, A&A, 476, 1113
22. Fromang, S., Hennebelle, P., & Teyssier, R. 2006, A&A, 457, 371
23. Gammie, C. F. 1996, ApJ, 457, 355
24. Gardiner, T. A., & Stone, J. M. 2005, J. Comput. Phys., 205, 509
25. Gardiner, T. A., & Stone, J. M. 2008, J. Comput. Phys., 227, 4123
26. Groth C. P. T., De Zeeuw D. L., Gombosi T. I., & Powell K. G. 2000, J. Geophys. Res., 105, 25053
27. Hawley, J. F. 2000, ApJ, 528, 462
28. Hawley, J. F., & Balbus, S. A. 1991, ApJ, 376, 223
29. Hawley, J. F., & Stone, J. M. 1995, Comp. Phys. Comm., 89, 127
30. Hawley, J. F., Gammie, C. F., & Balbus, S. A. 1995, ApJ, 440, 742
31. Hawley, J. F., Gammie, C. F., & Balbus, S. A. 1996, ApJ, 464, 690
32. Hayes, J. C., Norman, M. L., Fiedler, R. A., et al. 2006, ApJS, 165, 188
33. Hirose S., Krolik J. H., & Stone J. M. 2006, ApJ, 640, 901
34. Ilgner, M., & Nelson, R. P. 2006, A&A, 445, 205
35. Jin, L. 1996, ApJ, 457, 798
36. Komissarov, S. S. 1999, MNRAS, 303, 343
37. Kurganov, A., Noelle, S., & Petrova, G. 2001, J. Sci. Comput., 23, 707
38. Londrillo, P., & Del Zanna, L. 2000, ApJ, 530, 508
39. Londrillo, P., & del Zanna, L. 2004, J. Comput. Phys., 195, 17
40. Lyra, W., Johansen, A., Klahr, H., & Piskunov, N. 2008, A&A, 479, 883
41. Matsumoto, R., & Tajima, T. 1995, ApJ, 445, 767
42. Mignone, A., & Bodo, G. 2008, in Lecture Notes in Physics, ed. S. Massaglia, G. Bodo, A. Mignone, & P. Rossi (Berlin: Springer Verlag), 754, 71
43. Mignone, A., Bodo, G., & Massaglia, S., et al. 2007, ApJS, 170, 228
44. Miyoshi, T., & Kusano, K. 2005, J. Comput. Phys., 208, 315
45. Miyoshi, T., & Kusano, K. 2008, in Numerical Modeling of Space Plasma Flows, ed. N. V. Pogorelov, E. Audit, G. P. Zank, ASP Conf. Ser., 385, 279
46. Pessah, M. E., & Chan, C.k. 2008, ApJ, 684, 498
47. Powell, K. G. 1994, Approximate Riemann solver for magnetohydrodynamics (that works in more than one dimension), Tech. Rep.
48. Powell, K. G., Roe, P. L., Linde, T. J., Gombosi, T. I., & de Zeeuw, D. L. 1999, J. Comput. Phys., 154, 284
49. Robinet J., Gressier J., Casalis G., & Moschetta J. 2000, J. Fluid Mech., 417, 237
50. Ryu, D., Miniati, F., Jones, T. W., & Frank, A. 1998, ApJ, 509, 244
51. Sano, T., Miyama, S. M., Umebayashi, T., & Nakano, T. 2000, ApJ, 543, 486
52. Sano, T., Inutsuka, S.I., Turner, N. J., & Stone, J. M. 2004, ApJ, 605, 321
53. Stone, J. M., & Gardiner, T. A. 2005, in Magnetic Fields in the Universe: From Laboratory and Stars to Primordial Structures, ed. E. M. de Gouveia dal Pino, G. Lugones, & A. Lazarian, AIP Conf. Ser., 784, 16
54. Stone, J. M., & Norman, M. L. 1992, ApJS, 80, 753
55. Stone, J. M., Hawley, J. F., Gammie, C. F., & Balbus, S. A. 1996, ApJ, 463, 656
56. Tóth, G. 2000, J. Comput. Phys., 161, 605
57. Turner, N. J. 2004, ApJ, 605, L45
58. Turner, N. J., Stone, J. M., & Sano, T. 2002, ApJ, 566, 148
59. Turner, N. J., Sano, T., & Dziourkevitch, N. 2007, ApJ, 659, 729
60. Wardle, M. 1999, MNRAS, 307, 849