Shock-capturing approach and nonevolutionary solutions in magnetohydrodynamics

Journal of Computational Physics

Volumn 126, Issue 1, 1996, Pages 77-90

  Barmin, A A ^a   Kulikovskiy, A G ^b   Pogorelov, N V ^c  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

^c INSTITUTE FOR PROBLEMS IN MECHANICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

JACOBIAN MATRICES; PARTIAL DIFFERENTIAL EQUATIONS; SHOCK WAVES;

EFFECTIVE TOOL; EXACT SOLUTION; HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION; MAGNETOHYDRODYNAMIC EQUATIONS; PROBLEM SOLVERS; RIEMANN PROBLEM; SHOCK-CAPTURING; SHOCK-CAPTURING METHOD; SIMPLE++; SYMMETRIC TVD SCHEMES;

MAGNETOHYDRODYNAMICS;

EID: 0030161576     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1996.0121     Document Type: Article

References (19)

1. 1. H. C. Yee, NASA TM-101088 (1989) (unpublished).
2. 2. C. Hirsch, Numerical Computation of Internal and External Flows (Wiley-Interscience, Chichester, 1990).
3. 3. A. Kulikovskiy and G. Lyubimov, Magnetohydrodynamics (Addison-Wesley, Reading, MA, 1965).
4. 4. M. Brio and C. C. Wu, J. Comput. Phys. 75, 400 (1988).
5. 5. T. Hanawa, Y. Nakajima, and K. Kobuta, Dept. of Astrophysics, Nagoya University Preprint No. 94-34 (1994) (unpublished).
6. 6. P. Cargo and G. Gallice, in Book of Abstracts, 3d International Congress on Industrial and Applied Mathematics, Hamburg, Germany, July 3-7, 1995; Z. Angew. Math. Mech., to appear.
7. 6. P. Cargo and G. Gallice, in Book of Abstracts, 3d International Congress on Industrial and Applied Mathematics, Hamburg, Germany, July 3-7, 1995; Z. Angew. Math. Mech., to appear.
8. 7. N. V. Pogorelov, A. A. Barmin, A. G. Kulikovskiy, and A. Yu. Semenov, in Proceedings, 6th International Conference on Computational Fluid Dynamics, Lake Tahoe, September 5-9, 1995 (unpublished).
9. 8. A. L. Zachary and P. Colella, J. Comput. Phys. 99, 341 (1992).
10. 9. W. Dai and P. R. Woodward, J. Comput. Phys. 111, 354 (1994).
11. 10. P. L. Roe, J. Comput. Phys. 43, 357 (1981).
12. 11. P. D. Lax, Commun. Pure Appl. Math. 7, 159 (1954).
13. 12. A. Jeffrey and T. Taniuti, Non-linear Wave Propagation (Academic Press, New York, 1964).
14. 13. L. Todd, J. Fluid Mech. 24, 597 (1966).
15. 14. C. K. Chu and R. T. Taussig, Phys. Fluids 10, 249 (1967).
16. 15. C. C. Wu, J. Geophys. Res. 93, 987 (1988).
17. 16. C. C. Wu and C. F. Kennel, Geophys. Res. Lett. 19, 2087 (1992).
18. 17. W. Dai and P. R. Woodward, J. Comput. Phys. 115, 485 (1994).
19. 18. B. van Leer, J. Comput. Phys. 32, 101 (1979).