Computation of unsteady transonic flows by the solution of euler equations

AIAA Journal

Volumn 26, Issue 8, 1988, Pages 974-981

  Venkatakrishnan, V ^a,b   Jameson, A ^a  

^a PRINCETON UNIVERSITY   (United States)

^b ANALYTICAL SERVICES AND MATERIALS INC   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW OF FLUIDS; MATHEMATICAL TECHNIQUES--BOUNDARY VALUE PROBLEMS;

DISSIPATIVE TERMS; EULER EQUATIONS;

AERODYNAMICS;

EID: 0024057591     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/3.9999     Document Type: Article

References (23)

1. Ballhaus, W. F. and Goorjian, P. M., “Implicit Finite Difference Computations of Unsteady Transonic Flows about Airfoils, Including the Treatment of Irregular Shock Wave Motions,” AIAA Journal, Vol. 15, Dec. 1977, pp. 1728-1735.
2. Shankar, V., Ide, H., Gorski, J., and Osher, S., “A Fast Time Accurate Full Potential Scheme,” AIAA Paper 85-1512, Proceedings of the AIAA 7th Computational Fluid Dynamics Conference, Cincinnati, OH, July 1985, pp. 214-227.
3. Jameson, A. and Baker, T. J., “Solution of the Euler Equations for Complex Configurations,” AIAA Paper 83-1929, Proceedings of the AIAA 6th Computational Fluid Dynamics Conference, Danvers, MA, July 1983, pp. 293-302.
4. Magnus, R. and Yoshihara, H., “Unsteady Transonic Flows over an Airfoil,” AIAA Journal, Vol. 13, Dec. 1975, pp. 1622-1628.
5. Lerat, A. and Sides, J., “Numerical Simulation of Unsteady Transonic Flows Using the Euler Equations in Integral Form,” Israel Journal of Technology, Vol. 17, 1979, pp. 302-310.
6. Sides, J., “Computation of Unsteady Transonic Flows with an Implicit Numerical Method for Solving the Euler Equations,” La Recherche Aerospatiale, Vol. 2, No. 1985-2, March-April 1985, pp. 89-111.
7. Lerat, A., Sides, J., and Daru, V., “An Implicit Finite-Volume Method for Solving the Euler Equations,” Lecture Notes in Physics, Vol. 170, 1982, pp. 343-349.
8. Steger, J. L., “Implicit Finite-Difference Simulation of Flow about Arbitrary Two-Dimensional Geometries,” AIAA Journal, Vol. 16, July 1978, pp. 679-686.
9. Chyu, W. J., Davis, S. S., and Chang, K. S., “Calculation of Unsteady Transonic Flow over an Airfoil,” AIAA Journal, Vol. 19, June 1981, pp. 684-690.
10. Jameson, A., Schmidt, W., and Turkel, E., “Numerical Solutions of the Euler Equations by Finite Volume Methods Using Runge Kutta Time Stepping Schemes,” AIAA Paper 81-1259, July 1981.
11. Venkatakrishnan, V., “Computation of Unsteady Transonic Flows over Moving Airfoils,” Ph.D. Dissertation, Dept, of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ, 1986.
12. Hedstrom, G. W., “Nonreflecting Boundary Conditions for Nonlinear Hyperbolic Systems,” Journal of Computational Physics, Vol. 30, 1979, pp. 222-237.
13. Landon, R. H., “NACA0012. Oscillatory and Transient Pitching,” Compendium of Unsteady Aerodynamic Measurements, AGARD-R-702, 1982.
14. Davis, S. S., “NACA64A010. Oscillatory Pitching,” Compendium of Unsteady Aerodynamic Measurements, AGARD-R-702, 1982.
15. Jameson, A., “A Non-Oscillatory Shock Capturing Scheme Using Flux Limited Dissipation,” Princeton University, Princeton, NJ, Mechanical and Aerospace Engineering Rept. 1653, 1984.
16. Lax, P. D., “Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves,” SIAM Regional Series on Applied Mathematics, Vol. 11, 1973.
17. Harten, A., “High Resolutions Schemes for Hyperbolic Conservation Laws,” New York University Report, DOE/ER 03077-175, New York, NY, 1982.
18. Van Leer, B., “Towards the Ultimate Conservative Difference Scheme IV. A New Approach to Numerical Convection,” Journal of Computational Physics, Vol. 23, 1977, pp. 276-299.
19. Sweby, P. K., “High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws,” SIAM Journal of Numerical Analysis, Vol. 21, Oct. 1984, pp. 995-1011.
20. Goodman, J. B. and Leveque, R. J., “On the Accuracy of Stable Schemes for 2-D Scalar Conservation Laws,” Mathematics of Computation, Vol. 45, No. 171, July 1985, pp. 15-22.
21. Roe, P. L., “Approximate Riemann Solvers, Parameter Vectors and Difference Schemes,” Journal of Computational Physics, Vol. 43, No. 2, Oct. 1981, pp. 357-372.
22. Warming, R. F., Beam, R. M., and Hyett, B. J., “Diagonaliza-tion and Simultaneous Symmetrization of the Gas-Dynamic Matrices,” Mathematics of Computation, Vol. 29, No. 132, Oct. 1975, pp. 1037-1045.
23. Jameson, A. and Lax, P. D., “Conditions for the Construction of Multi-Point Total Variation Diminishing Difference Schemes,” Applied Numerical Mathematics, Vol. 2, No. 3-5, Oct. 1986, pp. 335-346.