Stable and entropy satisfying approximations for transonic flow calculations

Mathematics of Computation

Volumn 34, Issue 149, 1980, Pages 45-75

  Engquist, Bjorn ^a   Osher, Stanley ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84966218255     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1980-0551290-1     Document Type: Article

References (12)

1. W. F. BALLHAUS, P. M. GOORJIAN, Implicit Finite Difference Computation of Unsteady Transonic Flow About Airfoils Including the Treatment of Irregular Shock Wave Motions, A.I.A.A. p. 77-205, 1977.
2. J. D. COLE, "Modern developments in transonic flow," SIAM J. Appl. Math., v. 29, 1975, p. 763-786.
3. M. G. CRANDALL, A. MAJDA, "Monotone difference approximations for scalar conservation laws." (To appear.)
4. B. ENGQUIST, A. MAJDA, "Numerical radiation boundary conditions for unsteady transonic flow," J. Computational Phys. (Submitted.)
5. A. HARTEN, J. M. HYMAN, P. D. LAX, "On finite difference approximations and entropy conditions for shocks," Comm. Pure Appl. Math., v. 29, 1976, p. 297-322.
6. A. JAMESON, "Numerical solutions of nonlinear partial differential equations of mixed type," Numerical Solutions of Partial Differential Equations III, Academic Press, New York, 1976, p. 275-320.
7. G. JENNINGS, "Discrete shocks," Comm. Pure Appl. Math., v. 27, 1974, pp. 25-37.
8. J. A. KRUPP, J. D. COLE, Studies in Transonic Flow IV, Unsteady Transonic Flow, UCLA Eng. Dept. Rep. No. 76/04, 1976.
9. P. D. LAX, B. WENDROFF, "Systems of conservation laws," Comm. Pure Appl. Math., v. 23, 1960, p. 217-237.
10. A. MAJDA, S. OSHER, "Numerical viscosity and the entropy condition," Comm. Pure Appl. Math. (Submitted.)
11. M. S. MOCK, "Systems of conservation laws of mixed type," J. Differential Equations. (Submitted.)
12. E. M. MURMAN, J. D. COLE, "Calculations of plane steady transonic flows," AIAA J., v. 9, 1971, p. 114-121.