A multidimensional grid-adaptive relativistic magnetofluid code

Computer Physics Communications

Volumn 179, Issue 9, 2008, Pages 617-627

  van der Holst, B ^a   Keppens, R ^a,b,c   Meliani, Z ^b  

^a CENTRE FOR PLASMA ASTROPHYSICS   (Belgium)

^b FOM INSTITUTE FOR PLASMA PHYSICS RIJNHUIZEN   (Netherlands)

^c UTRECHT UNIVERSITY   (Netherlands)

Author keywords

Adaptive mesh refinement; Magnetohydrodynamics; Relativity; Shock capturing

Indexed keywords

ELECTROMAGNETISM; FLUID DYNAMICS; FLUID MECHANICS; MAGNETIC FIELD EFFECTS; MAGNETISM; MAGNETOHYDRODYNAMICS;

ADAPTIVE MESH REFINEMENT; COMPUTATIONAL DOMAINS; EXACT SOLUTIONS; FINITE VOLUMES; LONG TERM EVOLUTION; LORENTZ FACTORS; MAGNETIC ISLANDS; NUMERICAL SCHEMES; RELATIVISTIC MAGNETOHYDRODYNAMICS; RELATIVITY; RIEMANN PROBLEMS; SECOND ORDERS; SHOCK-CAPTURING; TOTAL VARIATION DIMINISHING; VORTICAL FLOWS;

MESH GENERATION;

EID: 52949151880     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2008.05.005     Document Type: Article

References (44)

1. Aloy M.A., Ibáñez J.M., Martí J.M., and Müller E. GENESIS: A high-resolution code for three-dimensional relativistic hydrodynamics. ApJS 122 (1999) 151
2. Anderson M., Hirschmann E.W., Liebling S.L., and Neilsen D. Relativistic MHD with adaptive mesh refinement. CQGra 23 (2006) 6503
3. Anninos P., Fragile P.C., and Salmonson J.D. Cosmos++: relativistic magnetohydrodynamics on unstructured grids with local adaptive refinement. Astrophys. J. 635 (2005) 723
4. Balsara D.S. Total variation diminishing scheme for relativistic magnetohydrodynamics. Astrophys. J. (Suppl. Ser.) 132 (2001) 83
5. Berger M.J. Data structures for adaptive grid generation. SIAM J. Sci. Stat. Comput. 7 (1986) 904
6. Berger M.J., and Colella P. Local adaptive mesh refinement for shock hydrodynamics. J. Comput. Phys. 82 (1989) 64
7. Bergmans J., Keppens R., van Odyck D.E.A., and Achterberg A. Simulations of relativistic astrophysical flows. In: Plewa T., Linde T., and Weirs V.G. (Eds). Adaptive Mesh Refinement-Theory and Applications. Lecture Notes in Comput. Sci. Eng. vol. 41 (2005), Springer 223
8. Brio M., and Wu C.-C. An upwind differencing scheme for the equations of ideal magnetohydrodynamics. J. Comput. Phys. 75 (1988) 400
9. Bryan G.L., Norman M.L., Stone J.M., Cen R., and Ostriker J.P. A piecewise parabolic method for cosmological hydrodynamics. Comput. Phys. Comm. 89 (1995) 149
10. Dedner A., Kemm F., Kröner D., Munz C.-D., Schnitzer T., and Wesenberg M. Hyperbolic divergence cleaning for the MHD equations. J. Comput. Phys. 175 (2002) 645
11. Del Zanna L., and Bucciantini N. An efficient shock-capturing central-type scheme for multidimensional relativistic flows. I. Hydrodynamics. Astron. Astrophys. 390 (2002) 1177
12. Del Zanna L., Bucciantini N., and Londrillo P. An efficient shock-capturing central-type scheme for multidimensional relativistic flows. II. Magnetohydrodynamics. Astron. Astrophys. 400 (2003) 397
13. Donat R., Font J.A., Ibáñez J.M., and Marquina A. A flux-split algorithm applied to relativistic flows. J. Comput. Phys. 146 (1998) 58
14. Eulderink F., and Mellema G. Special relativistic jet collimation by inertial confinement. Astron. Astrophys. 284 (1994) 654
15. Einfeld B. On Godunov-type methods for gas dynamics. SIAM J. Numer. Anal. 25 (1988) 294
16. Font J.A., Ibáñez J.M., Marquina A., and Martí J.M. Multidimensional relativistic hydrodynamics: Characteristic fields and modern high-resolution shock-capturing schemes. Astron. Astrophys. 282 (1994) 304
17. Giacomazzo B., and Rezzolla L. The exact solution of the Riemann problem in relativistic magnetohydrodynamics. Journal of Fluid Mechanics 562 (2006) 223
18. Giacomazzo B., and Rezzolla L. WhiskyMHD: a new numerical code for general relativistic magnetohydrodynamics. CQGra 24 (2007) S235
19. Harten A., Lax P.D., and van Leer B. On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. SIAM Rev. 25 (1983) 35
20. Honkkila V., and Janhunen P. HLLC solver for ideal relativistic MHD. J. Comput. Phys. 223 (2007) 643
21. Janhunen P. A positive conservative method for magnetohydrodynamics based on HLL and Roe methods. J. Comput. Phys. 160 (2000) 649
22. Keppens R., Nool M., Tóth G., and Goedbloed J.P. Adaptive mesh refinement for conservative systems: multi-dimensional efficiency evaluation. Comput. Phys. Comm. 153 (2003) 317
23. Keppens R., Meliani Z., van der Holst B., and Casse F. Extragalactic jets with helical magnetic fields: relativistic MHD simulations. Astron. Astrophys. 486 (2008) 663
24. Komissarov S.S. A Godunov-type scheme for relativistic magnetohydrodynamics. Mon. Not. R. Astron. Soc. 303 (1999) 343
25. Komissarov S.S. Multi-dimensional numerical scheme for resistive relativistic MHD. Mon. Not. R. Astron. Soc. 382 (2007) 995
26. Koldoba A.V., Kuznetsov O.A., and Ustyugova G.V. An approximate Riemann solver for relativistic magnetohydrodynamics. Mon. Not. R. Astron. Soc. 333 (2002) 932
27. Leismann T., Antón L., Aloy M.A., Müller E., Martí J.M., Miralles J.A., and Ibáñez J.M. Relativistic MHD simulations of extragalactic jets. Astron. Astrophys. 436 (2005) 503
28. Marder B. A method for incorporating Gauss' law into electromagnetic PIC codes. J. Comput. Phys. 68 (1987) 48
29. Martí J.M., and Müller E. Numerical hydrodynamics in special relativity. Living Rev. in Relativity 6 (2003) 7
30. Meliani Z., Keppens R., Casse F., and Giannios D. AMRVAC and relativistic hydrodynamic simulations for gamma-ray burst afterglow phases. Mon. Not. R. Astron. Soc. 376 (2007) 1189
31. Mignone A., and Bodo G. An HLLC Riemann solver for relativistic flows. I. Hydrodynamics. Mon. Not. R. Astron. Soc. 364 (2005) 126
32. Mignone A., and Bodo G. An HLLC Riemann solver for relativistic flows. II. Magnetohydrodynamics. Mon. Not. R. Astron. Soc. 368 (2006) 1040
33. Mignone A., Bodo G., Massaglia S., Matsakos T., Tesileanu O., Zanni C., and Ferrari A. PLUTO: A numerical code for computational astrophysics. Astrophys. J. (Suppl. Ser.) 170 (2007) 228
34. Munz C.-D., Omnes P., Shneider R., Sonnendrücker E., and Voss U. Divergence correction techniques for Maxwell solvers based on a hyperbolic model. J. Comput. Phys. 161 (2000) 484
35. Picone J.M., and Dahlburg R.B. Evolution of the Orszag-Tang vortex system in a compressible medium. II. Supersonic flow. Phys. Fluids B 3 (1991) 29
36. Powell K.G., Roe P.L., Linde T.J., Gombosi T.I., and de Zeeuw D.L. A solution-adaptive upwind scheme for ideal magnetohydrodynamics. J. Comput. Phys. 154 (1999) 284
37. Press W.H., Teukolsky S.A., Vetterling W.T., and Flannery B.P. Numerical Recipes in Fortran (1992), Cambridge Univ. Press, Cambridge
38. Ryu D., Ostriker J.P., Kang H., and Cen R. A cosmological hydrodynamic code based on the total variation diminishing scheme. Astrophys. J. 414 (1993) 1
39. Sovinec C.R., Glasser A.H., Gianakon T.A., Barnes D.C., Nebel R.A., Kruger S.E., Schnack D.D., Plimpton S.J., Tarditi A., Chu M.S., and the NIMROD team. Nonlinear magnetohydrodynamics simulation using high-order finite elements. J. Comput. Phys. 195 (2004) 355
40. Tóth G. The ∇ ṡ B = 0 constraint in shock-capturing magnetohydrodynamics codes. J. Comput. Phys. 161 (2000) 605
41. Tóth G., and Odstrčil D. Comparison of some flux corrected transport and total variation diminishing numerical schemes for hydrodynamic and magnetohydrodynamic problems. J. Comput. Phys. 128 (1996) 82
42. van der Holst B., and Keppens R. Hybrid block-AMR in Cartesian and curvilinear coordinates: MHD applications. J. Comput. Phys. 226 (2007) 925
43. Wang P., Abel T., and Zhang W. Relativistic hydrodynamic flows using spatial and temporal adaptive structured mesh refinement (2007). astro-ph/0703742
44. Zhang W., and MacFadyen A.I. RAM: A relativistic adaptive mesh refinement hydrodynamics code. ApJS 164 (2006) 255