Calculation of Transonic Internal Flows Using an Efficient High-Resolution Upwind Scheme

AIAA Journal

Volumn 42, Issue 2, 2004, Pages 205-214

  Zha, Ge Cheng ^a,b   Hu, Zongjun ^a,b  

^a UNIVERSITY OF MIAMI   (United States)

^b Department of Mechanical Engineering ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYERS; EIGENVALUES AND EIGENFUNCTIONS; NOZZLES; PRESSURE EFFECTS; REFLECTION; SHOCK WAVES; SPECIFIC HEAT;

CONTACT DISCONTINUITIES; HIGH-RESOLUTION UPWIND SCHEME; TRANSONIC INLET DIFFUSERS;

TRANSONIC FLOW;

EID: 1542396930     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/1.3113     Document Type: Article

References (27)

1. Roe, P., "CFD Algorithms," NASA Spring Workshop on Fluids, April 2003.
2. Roe, P., "Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes," Journal of Computational Physics, Vol. 43, 1981, pp. 357-372.
3. Liou, M.-S., and Steffen, C. J., "A New Flux Splitting Scheme, " Journal of Computational Physics, Vol. 107, 1993, pp. 1-23.
4. Wada, Y., and Liou, M.-S., "An Accurate and Robust Splitting Scheme for Shock and Contact Discontinuities," AIAA Paper 94-0083, Jan. 1994.
5. +," Journal of Computational Physics, Vol. 129, 1996, pp. 364-382.
6. +," Journal of Computational Physics, Vol. 129, 1996, pp. 364-382.
7. Liou, M.-S., "Ten Years in the Making - AUSM-Family," AIAA Paper 2001-2521, June 2001.
8. Hänel, D., Schwane, R., and Seider, G., "On the Accuracy of Upwind Schemes for the Solution of the Navier-Stokes Eqautions," AIAA Paper 87-1105-CP, 1987.
9. Edwards, J. R., "A Low-Diffusion Flux-Splitting Scheme for Navier-Stokes Calculations," AIAA Paper 95-1703-CP, June 1995.
10. Edwards, J. R., "A Low-Diffusion Flux-Splitting Scheme for Navier-Stokes Calculations," Computer and Fluids, Vol. 6, 1997, pp. 635-659.
11. Jameson, A., "Analysis and Design of Numerical Schemes for Gas Dynamics I: Artificial Diffusion, Upwind Biasing, Limiters and Their Effect on Accuracy and Multigrid Convergence in Transonic and Hypersonic Flow," AIAA Paper 93-3359, July 1993.
12. Jameson, A., "Analysis and Design of Numerical Schemes for Gas Dynamics I: Artificial Diffusion, Upwind Biasing, Limiters and Their Effect on Accuracy and Multigrid Convergence in Transonic and Hypersonic Flow," Journal of Computational Fluid Dynamics, Vol. 4, 1995, pp. 171-218.
13. Jameson, A., "Analysis and Design of Numerical Schemes for Gas Dynamics II: Artificial Diffusion and Discrete Shock Structure," Journal of Computational Fluid Dynamics, Vol. 5, 1995, pp. 1-38.
14. Zha, G.-C., and Bilgen, E., "Numerical Solutions of Euler Equations by Using a New Flux Vector Splitting Scheme," International Journal for Numerical Methods in Fluids, Vol. 17, 1993, pp. 115-144.
15. Zha, G.-C., "Numerical Tests of Upwind Scheme Performance for Entropy Condition," AIAA Journal, Vol. 37, 1999. pp. 1005-1007.
16. Zha, G.-C., "Numerical Tests of Upwind Scheme Performance for Entropy Condition," AIM Journal Vol. 37, No. 8, 1999, pp. 1005-1007; also AIAA Paper 99-3348, June-July 1999.
17. Zha, G.-C., "Numerical Tests of Upwind Scheme Performance for Entropy Condition," AIM Journal Vol. 37, No. 8, 1999, pp. 1005-1007; also AIAA Paper 99-3348, June-July 1999.
18. Steger, J., and Warming, R., "Flux Vector Splitting of the Inviscid Gasdynamic Equations with Application to Finite-Difference Methods," Journal of Computational Physics, Vol. 40, 1981, pp. 263-293.
19. Van Leer, B., "Flux-Vector Splitting for Euler Equations," Lecture Notes in Physics, Vol. 170, 1982, pp. 507-512.
20. Van Leer, B., Thomas, J., Roe, P. L., and Newsome, R., "A Comparison of Numerical Flux Formulas for the Euler and Navier-Stokes Equations," AIAA Paper 87-1104, 1987.
21. Godunov, S., "Finite-Difference Method for Numerical Computation of Discontinuous Solutions of the Equations of Fluid Dynamics," Math Sbornik, Vol. 47, 1959, pp. 271-306 (in Russian) (translated by U.S. Joint Publication Research Service, JPRS 7226, 1969).
22. Van Leer, B., "Towards the Ultimate Conservative Difference Scheme, III," Journal of Computational Physics, Vol. 23, 1977, pp. 263-275.
23. Sod, G., "A Survey of Several Finite Difference Methods for Systems of Nonlinear Hyperbolic Conversation Laws," Journal of Computational Physics, Vol 27, 1978, pp. 1-31.
24. Harten, A., Lax, P. D., and Van Leer, B., "On Upstream Differencing and Godunov-Type Scheme for Hyperbolic Conservation Laws," SIAM Review, Vol. 25, No. 1, 1983, pp. 35-61.
25. Mason, M. L., and Putnam, L. E., "The Effect of Throat Contouring on Two-Dimensional Converging-Diverging Nozzles at Static Conditions," NASA TP 1704, 1980.
26. Bogar, T., Sajben, M., and Kroutil, J., "Characteristic Frequency and Length Scales in Transonic Diffuser Flow Oscillations." AIAA Paper 81-1291, June 1981.
27. Baldwin, B., and Lomax, H., "Thin Layer Approximation and Algebraic Model for Separated Turbulent Flows," AIAA Paper 78-257, 1978.