Roe matrices for ideal MHD and systematic construction of roe matrices for systems of conservation laws

Journal of Computational Physics

Volumn 136, Issue 2, 1997, Pages 446-466

  Cargo, Patricia ^a   Gallice, Gérard ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

GAS DYNAMICS; JACOBIAN MATRICES; LAGRANGE MULTIPLIERS; MAGNETOHYDRODYNAMICS; NUMERICAL METHODS; PHYSICAL PROPERTIES; SHOCK TUBES; SPECIFIC HEAT;

CONSERVATIVE SYSTEMS; EIGEN-VALUE; EULERIAN; IDEAL MAGNETOHYDRODYNAMICS; JACOBIANS; LAGRANGIAN; MATRIX; PROPERTY; ROE'S SCHEME; SYSTEMS OF CONSERVATION LAWS;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 0031571997     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1997.5773     Document Type: Article

References (35)

1. Daï W., Woodward P. R. J. Comput. Phys. 111:1994;354.
2. Daï W., Woodward P. R. J. Comput. Phys. 115:1994;485.
3. Zachary A., Colella P. J. Comput. Phys. 99:1992;341.
4. Zachary A., Malagoli A., Colella P. SIAM J. Sci. Comput. 15:1994;263.
5. Woodward P. R., Colella P. Lecture Notes in Physics. 141:1981;Springer-Verlag, New York/Berlin. p. 434-.
6. Woodward P. R., Colella P. J. Comput. Phys. 54:1984;115.
7. Woodward P. R., Colella P. J. Comput. Phys. 54:1984;174.
8. Engquist B., Osher S. Math. Comput. 36:1981;321.
9. R. Khanfir, 1995, Approximation volumes finis de type cinétique du système de la MHD idéale à pression isotrope.
10. Powell K. G. ICASE Report. 94-24:1994.
11. Brio M., Wu C. C. J. Comput. Phys. 75:1988;400.
12. Munz C. D. SIAM J. Numer. Anal. 31:1994;17.
13. Jeffrey A., Taniuti T. Non-linear Wave Propagation. 1964;Academic Press, New York/London.
14. Godunov S. Résolution numérique des problèmes multidimensionnels de la dynamique des gaz. 1979;Mir, Moscow.
15. Roe P. L. J. Comput. Phys. 43:1981;357.
16. Godlewski E., Raviart P. A. Collect. Ellipses, Math. Appl. 1991.
17. Van Kampen N. G., Felderhof B. U. Theoretical Methods in Plasma Physics. 1967;North Holland, Amsterdam.
18. Lax P. D. Comm. Pure Appl. Math. 7:1954;159.
19. Aslan N. Int. J. Numer. Methods Fluids. 23:1996;1211.
20. Roe P. L., Balsara D. S. SIAM J. Appl. Math. 56:1996;57.
21. Cargo P., Gallice G. C. R. Acad. Sci. (Paris). 320:1995;1269.
22. Cargo P., Gallice G., Raviart P. A. C. R. Acad. Sci. (Paris). 323:1996;951.
23. Gallice G. C. R. Acad. Sci. (Paris). 321:1995;1069.
24. S. Brassier, G. Gallice, 1996, 28th Congrès d'Analyse Numérique, France, 1996.
25. G. Gallice, 1996, Workshop Méthodes Numériques pour la MHD (Paris).
26. G. Gallice, 1997, Système d'Euler-Poisson, Magnétohydrodynamique et schémas de Roe.
27. Abarbanel S., Zwas G. Math. Comput. 23:1969;549.
28. Yee H. C. Lecture Series V.K.I. 1989.
29. Glaister P. J. Comput. Phys. 74:1988;382.
30. Liou M. S., van Leer B., Shuen J. S. J. Comput. Phys. 87:1990;1.
31. Vinokur M., Montagne J. L. J. Comput. Phys. 89:1990;276.
32. Y. Liu, M. Vinokur, 1989, AIAA Paper, 89-0201.
33. Harten A., Lax P. D., Van Leer B. ICASE Report. 82-5:1982.
34. Harten A., Hyman J. M. J. Comput. Phys. 50:1983;235.
35. Ryu D., Jones T. W. The Astrophysical Journal. 442:1995;228.