Towards a new generation of multi-dimensional stellar evolution models: Development of an implicit hydrodynamic code

Astronomy and Astrophysics

Volumn 531, Issue , 2011, Pages

  Viallet, M ^a,b   Baraffe, I ^a,b   Walder, R ^a  

^a UNIVERSITÉ DE LYON   (France)

^b UNIVERSITY OF EXETER   (United Kingdom)

Author keywords

Convection; Hydrodynamics; Methods: numerical; Stars: interiors

Indexed keywords

ADDRESS FLOW; CFL NUMBER; CONVECTIVE MOTIONS; DIFFUSION APPROXIMATIONS; EQUATION OF STATE; GLOBAL SIMULATION; HYDRODYNAMIC CODES; HYDRODYNAMICAL EQUATIONS; IMPLICIT SCHEMES; METHODS: NUMERICALS; RADIATION TRANSPORT; SIMULATION TESTED; SPHERICAL GEOMETRIES; STANDARD TESTS; STAR MODEL; STARS: INTERIORS; STELLAR EVOLUTIONS; STELLAR INTERIOR; STELLAR STRUCTURE; SURFACE LAYERS; TIME STEP; TIME-IMPLICIT; UNCONDITIONALLY STABLE;

COMPUTER SIMULATION; EQUATIONS OF STATE; FINITE VOLUME METHOD; HYDRODYNAMICS; MACH NUMBER; NUMERICAL METHODS;

STARS;

EID: 79959471497     PISSN: 00046361     EISSN: 14320746     Source Type: Journal    
DOI: 10.1051/0004-6361/201016374     Document Type: Article

References (54)

1. Almgren, A. S., Bell, J. B., Rendleman, C. A., & Zingale, M. 2006, ApJ, 637, 922
2. Amestoy, P. R., Duff, I. S., L'Excellent, J.-Y., & Koster, J. 2001, SIAM J. Matrix Anal. Applic., 23, 15
3. Amestoy, P. R., Guermouche, A., & Pralet, S. 2006, Parallel Computing, 32, 136
4. Arnett, D., Meakin, C., & Young, P. A. 2009, ApJ, 690, 1715
5. Asplund, M., Ludwig, H., Nordlund, Å., & Stein, R. F. 2000, A&A, 359, 669
6. Aubert, O., Prantzos, N., & Baraffe, I. 1996, A&A, 312, 845
7. Baraffe, I., & El Eid, M. F. 1991, A&A, 245, 548
8. Baraffe, I., Chabrier, G., Allard, F., & Hauschildt, P. H. 2002, A&A, 382, 563
9. Bigot, L., Kervella, P., Thévenin, F., & Ségransan, D. 2006, A&A, 446, 635
10. Boris, J. P., Grinstein, F. F., Oran, E. S., & Kolbe, R. L. 1992, Fluid Dyn. Res., 10, 199
11. Brun, A. S., & Palacios, A. 2009, ApJ, 702, 1078
12. Brun, A. S., & Toomre, J. 2002, ApJ, 570, 865
13. Burrows, A., Dessart, L., Ott, C. D., & Livne, E. 2007, Phys. Rep., 442, 23
14. Calhoun, D. A., Helzel, C., & LeVeque, R. J. 2008, SIAM Rev., 50, 723
15. Colella, P. 1990, J. Comput. Phys., 87, 171
16. Curtis, A. R., Powell, M. J. D., & Reid, J. K. 1974, IMA J. Appl. Math., 13, 117
17. Dearborn, D. S. P., Lattanzio, J. C., & Eggleton, P. P. 2006, ApJ, 639, 405
18. Deupree, R. G. 1990, ApJ, 357, 175
19. Dintrans, B., & Brandenburg, A. 2004, A&A, 421, 775
20. Dobler, W., Stix, M., & Brandenburg, A. 2006, ApJ, 638, 336
21. Eggleton, P. P., Dearborn, D. S. P., & Lattanzio, J. C. 2008, ApJ, 677, 581
22. Freytag, B., Ludwig, H., & Steffen, M. 1996, A&A, 313, 497
23. Freytag, B., Steffen, M., & Dorch, B. 2002, Astron. Nachr., 323, 213
24. Gebremedhin, A. H., Manne, F., & Pothen, A. 2005, SIAM Rev., 47, 629
25. Glasner, S. A., & Livne, E. 1995, ApJ, 445, L149
26. Glasner, S. A., Livne, E., & Truran, J. W. 1997, ApJ, 475, 754
27. Guzik, J. A. 2011, Ap&SS, in press [arXiv:1005.5406]
28. Heroux, M., Bartlett, R., Hoekstra, V. H. R., et al. 2003, An Overview of Trilinos, Tech. Rep. SAND2003-2927, Sandia National Laboratories
29. Hirsch, C. 1990, Numerical Computation Of Internal & External Flows: Computational Methods for Inviscid and Viscous Flows (New York, NY, USA: John Wiley & Sons, Inc.)
30. Hujeirat, A. 2005 a, A&A, 430, 893
31. Hujeirat, A. 2005 b, Comput. Phys. Commun., 168, 1
32. Hujeirat, A. A., & Thielemann, F. 2009, MNRAS, 400, 903
33. Iglesias, C. A., & Rogers, F. J. 1996, ApJ, 464, 943
34. Keppens, R., Toth, G., Botchev, M., & van der Ploeg, A. 1999, Int. J. Num. Meth. Fluids, 30, 335
35. Knoll, D. A., & Keyes, D. E. 2004, J. Comp. Phys., 193, 357
36. LeVeque, R. J. 1997, J. Comp. Phys., 131, 327
37. LeVeque, R. J. 2007, Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems (SIAM)
38. Livne, E. 1993, ApJ, 412, 634
39. Livne, E. 1999, ApJ, 527, L97
40. Livne, E., & Arnett, D. 1995, ApJ, 452, 62
41. Livne, E., Burrows, A., Walder, R., Lichtenstadt, I., & Thompson, T. A. 2004, ApJ, 609, 277
42. Meakin, C. A., & Arnett, D. 2007 a, ApJ, 665, 690
43. Meakin, C. A., & Arnett, D. 2007 b, ApJ, 667, 448
44. Mihalas, D., & Mihalas, B. W. 1999, Foundations of radiation hydrodynamics, ed. Dover
45. Mocák, M., Müller, E., Weiss, A., & Kifonidis, K. 2009, A&A, 501, 659
46. Nonaka, A., Almgren, A. S., Bell, J. B. et al., 2010, ApJS, 188, 358
47. Nordlund, A., & Stein, R. F. 2009, in AIP 1171, Conf. Ser., ed. I. Hubeny, J. M. Stone, K. MacGregor, & K. Werner, 242
48. Smagorinsky, J. 1963, Monthly Weather Rev., 91, 99
49. Sofia, S., & Chan, K. L. 1984, ApJ, 282, 550
50. Stein, R. F., & Nordlund, A. 1998, ApJ, 499, 914
51. Stone, J. M., & Norman, M. L. 1992, ApJS, 80, 753
52. Toth, G., Keppens, R., & Botchev, M. A. 1998, A&A, 332, 1159
53. van Leer, B. 1977, J. Comp. Phys., 23, 276
54. Woodward, P. R., Porter, D. H., & Jacobs, M. 2003, in 3D Stellar Evolution, ed. S. Turcotte, S. C. Keller, & R. M. Cavallo, ASP Conf. Ser., 293, 45