Smoothed particle magnetohydrodynamics - III. Multidimensional tests and the ▽ · B = 0 constraint

Monthly Notices of the Royal Astronomical Society

Volumn 364, Issue 2, 2005, Pages 384-406

  Price, D J ^a   Monaghan, J J ^b  

^a UNIVERSITY OF EXETER   (United Kingdom)

^b MONASH UNIVERSITY   (Australia)

Author keywords

Magnetic fields; Methods: numerical; MHD; Stars: formation

Indexed keywords

NUMERICAL METHODS; STARS; ONE DIMENSIONAL;

ALGORITHM FOR SOLVING; CLEANING METHODS; HYPERBOLIC DIVERGENCE CLEANINGS; MAGNETIC-FIELD; MAGNETOHYDRODYNAMIC EQUATIONS; METHOD: NUMERICAL; ONE-DIMENSIONAL PROBLEM; PROJECTION METHOD; SMOOTHED PARTICLE HYDRODYNAMICS METHODS; STARS FORMATION;

MAGNETOHYDRODYNAMICS;

EID: 28744445642     PISSN: 00358711     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1365-2966.2005.09576.x     Document Type: Article

References (45)

1. Balsara D. S., 1998, ApJS, 116, 133
2. Bekenstein J. D., Oron A., 2000, Phys. Rev. E, 62, 5594
3. Benz W., 1984, A&A, 139, 378
4. Benz W., Cameron A. G. W., Press W. H., Bowers R. L., 1990, ApJ, 348, 647
5. Brackbill J. U., Barnes D. C., 1980, J. Comp. Phys., 35, 426
6. Brookshaw L., 1985, Proc. Astron. Soc. Aust., 6, 207
7. Byleveld S. E., Pongracic H., 1996, Publ. Astron. Soc. Aust., 13, 71
8. Cerqueira A. H., de Gouveia Dal Pino E. M., 2001, ApJ, 560, 779
9. Cleary P. W., Monaghan J. J., 1999, J. Comp. Phys., 148, 227
10. Cummins S. J., Rudman M., 1999, J. Comp. Phys., 152, 584
11. Dahlburg R. B., Picone J. M., 1989, Phys. Fluids B, 1, 2153
12. Dai W., Woodward P. R., 1994, J. Comp. Phys., 115, 485
13. Dai W., Woodward P. R., 1998, ApJ, 494, 317
14. Dedner A., Kemm F., Kröner D., Munz C.-D., Schnitzer T., Wesenberg M., 2002, J. Comp. Phys., 175, 645
15. Dellar P. J., 2001, J. Comp. Phys., 172, 392
16. Evans C. R., Hawley J. F., 1988, ApJ, 332, 659
17. Gingold R. A., Monaghan J. J., 1977, MNRAS, 181, 375
18. Gray J., Monaghan J. J., Swift R. P., 2001, Comput. Methods Appl. Mech. Eng., 190, 6641
19. Hernquist L., Katz N., 1989, ApJS, 70, 419
20. Hosking J. G., 2002, PhD thesis, Cardiff University
21. Janhunen P., 2000, J. Comp. Phys., 160, 649
22. Kuznetsov E. A., Ruban V. P., 2000, Phys. Rev. E, 61, 831
23. Londrillo P., Del Zanna L., 2000, ApJ, 530, 508
24. Meglicki Z., Wickramasinghe D., Dewar R. L., 1995, MNRAS, 272, 717
25. Monaghan J. J., 1992, ARA&A, 30, 543
26. Monaghan J. J., 1997, J. Comp. Phys., 136, 298
27. Monaghan J. J., Price D. J., 2001, MNRAS, 328, 381
28. Monaghan J. J., Price D. J., 2004, MNRAS, 350, 1449
29. Morris J. P., 1996, PhD thesis, Monash University, Melbourne, Australia
30. Morris J. P., Monaghan J. J., 1997, J. Comp. Phys., 136, 41
31. Morrison P. J., Hazeltine R. D., 1984, Phys. Fluids, 27, 886
32. Munz C.-D., Omnes P., Schneider R., Sonnendrücker E., Voß U., 2000, J. Comp. Phys., 161, 484
33. Orszag S. A., Tang C.-M., 1979, J. Fluid Mech., 90, 129
34. Phillips G. J., Monaghan J. J., 1985, MNRAS, 216, 883
35. Picone J. M., Dahlburg R. B., 1991, Phys. Fluids B, 3, 29
36. Powell K. G., 1994, Technical Report ICASE 94-24, An approximate Riemann Solver for Magnetohydrodynamics (that works in more than one dimension). NASA Langley Research Center (available at http://techreports.larc.nasa.gov/ltrs/ dublincore/1994/icase-1994-24.html)
37. Powell K. G., Roe P. L., Linde T. J., Gombosi T. I., de Zeeuw D. L., 1999, J. Comp. Phys., 154, 284
38. Price D. J., 2004, PhD thesis, University of Cambridge, Cambridge (available at the author's website, currently at http://www.astro.ex.ac.uk/ people/dprice)
39. Price D. J., Monaghan J. J., 2004a, MNRAS, 348, 123 (Paper I)
40. Price D. J., Monaghan J. J., 2004b, MNRAS, 348, 139 (Paper II)
41. Rosswog S., Davies M. B., Thielemann F.-K., Piran T., 2000, A&A, 360, 171
42. Ryu D., Jones T. W., 1995, ApJ, 442, 228
43. Ryu D., Jones T. W., Frank A., 1995, ApJ, 452, 785
44. Tóth G., 2000, J. Comp. Phys., 161, 605
45. Thomas P. A., Couchman H. M. P., 1992, MNRAS, 257, 11