Characteristic analysis of a complex two-dimensional magnetohydrodynamic bow shock flow with steady compound shocks

Physics of Plasmas

Volumn 6, Issue 2-3, 1999, Pages 954-969

  De Sterck, H ^a,b,c   Low, B C ^a   Poedts, S ^b,c  

^a NATIONAL CENTER FOR ATMOSPHERIC RESEARCH   (United States)

^b CENTRE FOR PLASMA ASTROPHYSICS   (Belgium)

^c FUND FOR SCIENTIFIC RESEARCH   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000340063     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.873336     Document Type: Article

References (57)

1. L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, Oxford, 1984).
2. E. Priest, Solar Magnetohydrodynamics, Geophysics and Astrophysics Monographs (Reidel, Dordrecht, 1982).
3. T. Sakurai, Comput. Phys. Rep. 12, 247 (1990).
4. K. Tsinganos, C. Sauty, G. Surlantzis, E. Trussoni, and J. Contopoulos, Mon. Not. R. Astron. Soc. 283, 811 (1996).
5. B. C. Low, Sol. Phys. 167, 217 (1996).
6. T. J. Linde, T. I. Gombosi, P. L. Roe, K. G. Powell, and D. L. De Zeeuw, J. Geophys. Res. 103, 1889 (1998).
7. D. Biskamp, Nonlinear Magnetohydrodynamics (Cambridge University Press, Cambridge, 1993).
8. S. Poedts, W. Kerner, J. P. Goedbloed, B. Keegan, G. T. A. Huysmans, and E. Schwarz, Plasma Phys. Controlled Fusion 34, 1397 (1992).
9. H. De Sterck, S. Poedts, and J. P. Goedbloed, J. Plasma Phys. 59/2, 277 (1998).
10. R. Courant and D. Hilbert, Methods of Mathematical Physics (Interscience, New York, 1962), Vol. 2.
11. J. E. Anderson, Ph.D. thesis, M. I. T., 1963.
12. M. A. Liberman and A. L. Velikovich, Physics of Shock Waves in Gases and Plasmas, Vol. 19 of Springer Series in Electrophysics (Springer-Verlag, Berlin, 1985).
13. H. De Sterck, B. C. Low, and S. Poedts, Phys. Plasmas 5/11, 4015 (1998).
14. R. Courant and K. O. Friedrichs, Supersonic Flow and Shock Waves (Interscience, New York, 1948).
15. Y. Kato and T. Taniuti, Prog. Theor. Phys. 21, 606 (1959).
16. H. Grad, Rev. Mod. Phys. 32, 830 (1960).
17. A. Jeffrey and T. Taniuli, Non-linear Wave Propagation (Academic, New York, 1964).
18. A. G. Kulikovskiy and G. A. Lyubimov, Magnetohydrodynamics (Addison-Wesley, Reading, MA, 1965).
19. A. Jeffrey, Magnetohydrodynamics (Oliver & Boyd, Edinburgh, 1966).
20. A. I. Akhiezer, I. A. Akhiezer, R. V. Polovin, A. G. Sitenko, and K. N. Stepanov, Plasma electrodynamics (Pergamon, Oxford, 1975), Vol. 1.
21. M. Heinemann and S. Olbert, J. Geophys. Res. 83, 2457 (1978).
22. J. Contopoulos, Astrophys. J. 460, 185 (1996).
23. A. Lifshitz and I. P. Goedbloed, J. Plasma Phys. 58, 61 (1997).
24. J. P. Goedbloed and A. Lifshitz, Phys. Plasmas 4, 3544 (1997).
25. R. S. Steinolfson and A. J. Hundhausen, J. Geophys. Res. 95, 6389 (1990).
26. H. De Sterck and S. Poedts, to appear in Astron. Astrophys. (1999).
27. M. Brio and C. C. Wu, J. Comput. Phys. 75, 400 (1988).
28. R. J. Leveque, Numerical Methods for Conservation Laws, Lectures in Mathematics ETH Zurich (Birkhauser-Verlag, Basel, 1992).
29. R. S. Myong and P. L. Roe, J. Plasma Phys. 58, 485 (1997).
30. R. S. Myong and P. L. Roe, J. Plasma Phys. 58, 521 (1997).
31. C. C. Wu, J. Geophys. Res. 95, 8149 (1990).
32. C. F. Kennel, R. D. Blandford, and C. C. Wu, Phys. Fluids B 2, 253 (1990).
33. C. C. Wu, in Viscous Profiles and Numerical Methods for Shock Waves, Siam Proceedings Series, edited by M. Shearer (SIAM, Philadelphia, 1991), pp. 209-236.
34. H. Freistuehler, J. Geophys. Res. 96, 3825 (1991).
35. C. C. Wu and C. F. Kennel, Phys. Rev. Lett. 68, 56 (1992).
36. C. C. Wu and C. F. Kennel, Geophys. Res. Lett. 19, 2087 (1992).
37. H. Freistuehler and P. Szmolyan, SIAM (Soc. Ind. Appl. Math.) J. Math. Anal. 26, 112 (1995).
38. H. Freistuehler, in Nonlinear Evolutionary Partial Differential Equations, edited by X.-X. Ding and T.-P. Liu (American Mathematical Society and International Press, 1997), pp. 175-187.
39. H. Freistuehler, Phys. Scr. T74, 26 (1998).
40. R. S. Myong and P. L. Roe, J. Comput. Phys. 147, 545 (1998).
41. J. K. Chao, Adv. Space Res. 15, 521 (1995).
42. A. J. Hundhausen, in The Many Faces of the Sun, edited by K. T. Strong, J. L. R. Saba, B. M. Haisch, and J. T. Schmelz (Springer-Verlag, New York, 1998), pp. 143-200.
43. H. De Sterck, H. Deconinck, S. Poedts, and D. Roose, in Proceedings of the Seventh International Conference on Hyperbolic Problems (Birkhauser-Verlag, Basel, 1999) (in press).
44. A. A. Barmin, A. G. Kulikovskiy, and N. V. Pogorelov, J. Comput. Phys. 126, 77 (1996).
45. S. A. E. G. Falle, S. S. Komissarov, and P. Joarder, Mon. Not R. Astron. Soc. 297, 265 (1998).
46. S. A. Markovskii, Phys. Plasmas 5, 2596 (1998).
47. P. A. Thompson, Compressible-Fluid Dynamics (McGraw-Hill, New York, 1972).
48. S. K. Godunov, in Nonlinear Hyperbolic Problems: Proceedings of an Advanced Research Workshop, Lecture Notes in Mathematics, Vol. 1270, edited by C. Carasso, P.-A. Raviart, and D. Serre (Springer-Verlag, Berlin, 1987).
49. K. G. Powell, P. L. Roe, R. S. Myong, T. I. Gombosi, and D. L. De Zeeuw, AIAA Paper 95-1704-CP (American Institute of Aeronautics and Astronautics, Washington DC, 1995).
50. T. J. Barth, in An Introduction to Recent Developments in Theory and Numerics for Conservation Laws, Lecture notes in Computational Science and Engineering, edited by D. Kröner, M. Ohlberger, and C. Rohde (Springer-Verlag, Berlin, 1998), pp. 195-284.
51. J. U. Brackbill and D. C. Barnes, J. Comput. Phys. 35, 426 (1980).
52. G. Tóth and D. Odstrcil, J. Comput. Phys. 128, 82 (1996).
53. R. Keppens and J. P. Goedbloed, to appear in Astron. Astrophys. (1999).
54. G. B. Whitham, Linear and Nonlinear Waves (Wiley, New York, 1974).
55. L. M. Sarro, H. De Sterck, R. Erdélyi, B. Montesinos, and J. G. Doyle, in Proceedings of the Fifth SOHO Workshop (ESA SP-404, European Space Agency, Paris, 1997), pp. 657-661.
56. L. M. Sarro, J. G. Doyle, B. Montesinos, R. Erdélyi, and H. De Sterck, in The Tenth Cambridge Workshop on Cool Stars, Stellar Systems and the Sun, edited by R. A. Donahue and J. A. Bookbinder (Astronomical Society of the Pacific, ASP Conf. Ser. 154, 1998), p. 693.
57. N. R. Sheeley, Jr., R. A. Howard, D. J. Michels, M. J. Koomen, R. Schwenn, K. H. Muehlhaeuser, and H. Rosenbauer, J. Geophys. Res. 90, 163 (1985).