A problem-orientable numerical algorithm for modeling multi-dimensional radiative MHD flows in astrophysics - The hierarchical solution scenario

Computer Physics Communications

Volumn 168, Issue 1, 2005, Pages 1-24

  Hujeirat, A ^a  

^a UNIVERSITY OF HEIDELBERG   (Germany)

Author keywords

Computational methods in fluid dynamics; Magnetohydrodynamics; Physical processes; Radiation transfer

Indexed keywords

ALGORITHMS; ASTROPHYSICS; COMPRESSIBLE FLOW; COMPUTATIONAL METHODS; EXTRAPOLATION; FLUID DYNAMICS; MAGNETIC FIELDS; MATHEMATICAL MODELS; MATRIX ALGEBRA; ROBUSTNESS (CONTROL SYSTEMS); TURBULENT FLOW; VISCOUS FLOW;

ASTROPHYSICAL FLUID DYNAMICS (AFD); COMPUTATIONAL METHODS IN FLUID DYNAMICS; PHYSICAL PROCESSES; RADIATION TRANSFER;

MAGNETOHYDRODYNAMICS;

EID: 17644388480     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2005.01.013     Document Type: Article

References (41)

1. S. Balbus, and J. Hawley Astrophys. J. 1991 376
2. R.M. Beam, and R.F. Warming AIAA 16 1978 393
3. A. Brandt U. Trottenberg C. Oosterlee A. Schüller Multigrid 2001 Academic Press London
4. J. Dongarra, I. Duff, D. Sorensen, and H.A. van der Vorst Numerical Linear Algebra for High-Performance Computers 1998 SIAM Philadelphia
5. J.E. Felten, and M.J. Rees Transfer effects on X-ray lines in optically thick sources Astronom. Astrophys. 21 1972 139 150
6. C.A.J. Fletcher Computational Techniques for Fluid Dynamics, vols. I and II 1988 Springer-Verlag Berlin
7. J.A. Font Numerical hydrodynamics in general relativity Living Rev. Relativity 3 2000 1 81
8. B. Fryxell, K. Olson, and P. Ricker FLASH: An adaptive mesh hydrodynamics code for modeling astrophysical thermonuclear flashes Astrophys. J. (Suppl.) 131 2000 273 334
9. C.F. Gammie, J.C. McKinney, and G. Tóth HARM: A numerical scheme for general relativistic magnetohydrodynamics Astrophys. J. 589 2003 444 457
10. C. Hirsch Numerical Computation of Internal and External Flows, vols. I and II 1990 John Wiley & Sons New York
11. A. Hujeirat, and J.C.P. Papaloizou Shock formation in accretion columns - a 2D radiative MHD approach Astronom. Astrophys. 340 1998 593 604
12. A. Hujeirat, and R. Rannacher On the efficiency and robustness of implicit methods in computational astrophysics New Astron. Rev. 45 2001 425 447
13. A. Hujeirat, M. Camenzind, and M. Livio Ion-dominated plasma and the origin of jets in quasars Astronom. Astrophys. 394 2002 L9 L13
14. A. Hujeirat, M. Camenzind, and A. Burkert Comptonization and synchrotron emission in 2D accretion flows. I. A new numerical solver for the Kompaneets equation Astronom. Astrophys. 386 2002 757 762
15. A. Hujeirat, M. Livio, M. Camenzind, and A. Burkert A model for the jet-disk connection in BH accreting systems Astronom. Astrophys. 408 2003 415 430
16. A. Hujeirat A model for electromagnetic extraction of rotational energy and formation of accretion-powered jets in radio galaxies Astronom. Astrophys. 416 2004 423 435
17. A. Hujeirat A method for enhancing the stability and robustness of explicit schemes in CFD New Astron. Rev. 2 3 2004 173 193
18. J.A. Katz Nonrelativistic Compton scattering and models of quasars Astrophys. J. 206 1976 910 916
19. A.F. Iilarinov, and R.A. Sunyaev Compton scattering by thermal electrons in X-ray sources Soviet Astr. - Astron. J. 16 1972 45
20. W. Kley Radiation hydrodynamics of the boundary layer in accretion disks. I. Numerical methods Astronom. Astrophys. 208 1989 98 110
21. S. Koide, K. Shibata, and T. Kudoh Relativistic jet formation from black hole magnetized accretion disks: method, tests, and applications of a general relativistic magnetohydrodynamic numerical code Astrophys. J. 522 1999 727 752
22. S. Koide, K. Shibata, T. Kudoh, and D.L. Meier Extraction of black hole rotational energy by a magnetic field and the formation of relativistic jets Science 195 2002 1688 1691
23. S.S. Komissarov A Godunov-type scheme for relativistic magnetohydrodynamics Mon. Not. R. Astron. Soc. 303 1999 343 366
24. C.D. Levermore, and G.C. Pomraning A flux-limited diffusion theory Astrophys. J. 248 1981 321 334
25. R. Mahadevan, R. Narayan, and I. Yi Harmony of electrons: cyclotron and synchrotron emission by thermal electrons in magnetic fields Astrophys. J. 465 1996 327 337
26. R.W. MacCormack, 1985, Current status of numerical solutions of Navier-Stokes equations, AIAA, Paper 81-0110, 1-18
27. J.M. Martí, and E. Müller Numerical hydrodynamics in special relativity Living Rev. Relativity 2 1999 1 100
28. D.L. Meier, S. Koide, and Y. Uchida Magnetohydrodynamic production of relativistic jets Science 291 2001 84 92
29. D. Meier The theory and simulation of relativistic jet formation: towards a unified model for micro- and macroquasars New Astron. Rev. 47 2003 667 672
30. D. Mihalas, and B.W. Mihalas Foundations of Radiation Hydrodynamics 1984 Oxford University Press New York
31. R. Ouyed, and R. Pudritz Numerical simulation of astrophysical jets from Keplerian disks. II. Episodic outflows Astrophys. J. 484 1997 794 809
32. D.G. Payne Time-dependent comptonization - X-ray reverberations Astrophys. J. 237 1980 951 963
33. G.B. Rybiki, and A.P. Lightman Radiation Processes 1979 Wiley-Interscience Publication
34. Y. Saad, and H.A. van der Vorst Iterative solution of linear systems in the 20-th century J. Comput. Appl. Math. 123 2000 1 33
35. S.L. Shapiro, A.P. Lightman, and D.M. Eardley A two-temperature accretion disk model for Cygnus X-1 structure and spectrum Astrophys. J. 204 1976 187 199
36. J.M. Stone, and M. Norman ZEUS-2D: A radiation magnetohydrodynamics code for astrophysical flows in two space dimensions. I. The hydrodynamic algorithms and tests Astrophys. J. (Suppl.) 80 1992 791 818
37. Tóth, R. Keppens, and M.A. Botchev Implicit and semi-implicit schemes in the Versatile Advection Code: numerical tests Astronom. Astrophys. 332 1998 1159 1170
38. U. Trottenberg U. Trottenberg C. Oosterlee A. Schüller Multigrid 2001 Academic Press London
39. Y. Uchida, M. Nakamura, S. Hirose, and S. Uemura Magnetodynamic formation of jets in accretion process of magnetized mass onto the central gravitator Ap&SS 264 1999 195 212
40. J.-P. De Villiers, and J.F. Hawley A numerical method for general relativistic magnetohydrodynamics Astrophys. J. 589 2003 458 480
41. U. Ziegler NIRVANA+: An adaptive mesh refinement code for gas dynamics and MHD Comput. Phys. Comm. 109 1998 111 123