Approximate Riemann solvers, parameter vectors, and difference schemes

Journal of Computational Physics

Volumn 135, Issue 2, 1997, Pages 250-258

  Roe, P L ^a  

^a Royal Aircraft Establishment   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATE RIEMANN SOLVER; DIFFERENCE SCHEMES; EXACT SOLUTION; HYPERBOLIC CONSERVATION LAWS; MATRIX; NUMERICAL SCHEME; PARAMETER VECTORS; PROPERTY; RIEMANN PROBLEM;

EID: 0031206524     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1997.5705     Document Type: Article

References (15)

1. P. L. Roe, 1981, Proceedings, Seventh Int. Conf. Num. Meth. Fluid Dyn. Springer-Verlag, New York/Berlin.
2. Oleinik O. A. Trans. Amer. Math. Soc. Sect. 2. 33:1963;285.
3. Lax P. D. Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves. 1972;SIAM, Philadelphia.
4. Godunov S. K. Mat. Sb. 47:1959;271.
5. Richtmyer R. D., Morton K. W. Difference Method for Initial-Value Problems. 1967;Interscience, New York.
6. Holt M. Numerical Methods in Fluid Dynamics. 1977;Springer-Verlag, New York/Berlin.
7. van Leer B. J. Comput. Phys. 32:1979;101.
8. Glimm J. Comm. Pure Appl. Math. 18:1965;697.
9. Chorin A. J. J. Comput. Phys. 22:1976;517.
10. Harten A., Lax P. D. NYU Report. 20E/ER/03077-167:1980.
11. SIAM J. Numer. Anal. 18:1981;289.
12. Sells C. C. L. RAE TR. 80065:1980.
13. Osher S., Solomon F. Math. Comp. 38:1982;339.
14. H. Viviand, 1981, Proceedings, Seventh Int. Conf. Num. Meth. Fluid Dyn. Springer-Verlag, New York/Berlin.
15. Sod G. A. J. Comput. Phys. 27:1978;1.