Performance of upwind schemes and turbulence models in hypersonic flows

AIAA Journal

Volumn 42, Issue 5, 2004, Pages 945-957

  Coratekin, Turan ^a,b   Van Keuk, Jörn ^a,c   Ballmann, Josef ^a,d  

^a RWTH AACHEN UNIVERSITY   (Germany)

^b DFG Graduiertenkolleg 5/3 TPHF   (Germany)

^c Lehr Forschungsgebiet fur Mech

^d NONE

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYERS; COMPUTATIONAL FLUID DYNAMICS; ENERGY CONSERVATION; ENTROPY; FRICTION; HEAT TRANSFER; KINETIC ENERGY; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; NEWTONIAN LIQUIDS; REYNOLDS NUMBER; STRESSES; SUPERSONIC FLOW; TENSORS; TURBULENCE; VISCOSITY;

ADVECTION UPSTREAM SPLITTING METHOD (AUSM); SUPERSONIC TRANSPORT (SST) MODELS; TURBULENCE MODELS; TURBULENT EFFECTS;

HYPERSONIC FLOW;

EID: 2542462154     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/1.9588     Document Type: Article

References (41)

1. Liou, M. S., and Steffen, C. J., "A New Flux Splitting Scheme," Journal of Computational Physics, Vol. 107, 1993, pp. 23-39.
2. Wada, Y., and Liou, M. S., "An Accurate and Robust Flux Splitting Scheme for Shock and Contact Discontinuities," SIAM Journal on Scientific Computing, Vol. 18, 1997, pp. 633-648.
3. Roe, P. L., "Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes," Journal of Computational Physics, Vol. 43, 1981, pp. 357-372.
4. Wilcox, D. C., Turbulence Modeling, DCW Industries, La Canada, CA, 1994.
5. Spalart, P. R., and Allmaras, S. R., "A One-Equation Turbulence Model for Aerodynamic Flows," AIAA Paper 92-0439, Jan. 1992.
6. Menter, F. R., "Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications," AIAA Journal, Vol. 32, No. 8, 1994, pp. 1598-1605.
7. Wallin, S., and Johansson, A. V., "A New Explicit Algebraic Reynolds Stress Turbulence Model," Journal of Fluid Mechanics, Vol. 403, 2000, pp. 89-132.
8. Coakley, T. J., and Huang, P. G., "Turbulence Modeling for High Speed Flows," AIAA Paper 92-0436, Jan. 1992.
9. Jaunzemis, W., Continuum Mechanics, Macmillan/McGraw-Hill, New York, 1967.
10. Coratekin, T. A., "Numerical Simulation of Turbulent Shock/Boundary-Layer Interactions in Hypersonic Flows," Strömungstechnik, Fortschritt-Berichte, Vol. 7/381, Verein Deutscher Ingenieure, Dusseldorf, Germany, 2000, pp. 1-96.
11. Vuong, S. T., and Coakley, T. J., "Modeling of Turbulence for Hypersonic Flows with and Without Separation," AIAA Paper 87-0286, Jan. 1987.
12. Kroll, N., Raddatz, J., and Heinrich, R., "FLOWer Version 114.1," Inst. für Entwurfsaerodynamik - Deutsches Zentrum für Luft- und Raumfahrt, DLR, German Aerospace Center, Braunschweig, Germany, 1997.
13. van Keuk, J., Numerische Analyse und Bewertung von Upwind-Verfahren für die Anwendung auf mehrdimensionale Über- und Hyperschallströmungen von Gasen, Springer-Verlag, Berlin, 2000; also Ph.D. Dissertation, Dept. of Mechanical Engineering, RWTH Aachen, Aachen, Germany, June 2000.
14. van Keuk, J., Ballmann, J., Schneider, A., and Koschel, W., "Numerical Simulation of Hypersonic Inlet Flows," AIAA Paper 98-1526, April 1998.
15. Jameson, A. J., "Time Dependent Calculation Using Multigrid, with Application to Unsteady Flows past Airfoils and Wings," AIAA Paper 91-1596, June 1991.
16. Hänel, D., and Schwane, R., "An Implicit Flux-Vector Splitting Scheme for the Computation of Viscous Hypersonic Flow," AIAA Paper 89-0274, Jan. 1989.
17. Liou, M. S., "A Sequel to AUSM: AUSM+," Journal of Computational Physics, Vol. 129, 1996, pp. 364-382.
18. Edwards, J. R., "A Low-Diffusion Flux-Splitting Scheme for Navier-Stokes Calculations," Computers and Fluids, Vol. 26, No. 6, 1997, pp. 635-659.
19. Harten, A., Lax, P.D., and van Leer, B., "On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws," SIAM Review, Vol. 25, 1983, pp. 35-61.
20. Harten, A., "High Resolution Schemes for Hyperbolic Conservation Laws," Journal of Computational Physics, Vol. 49, 1983, pp. 357-393.
21. Yee, H. C., "Upwind and Symmetric Shock-Capturing Schemes," NASA TM 89464, May 1987.
22. Sweby, P. K., "High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws," SIAM Journal on Numerical Analysis, Vol. 21, 1984, pp. 995-1011.
23. van Leer, B., "Flux Vector Splitting for the Euler Equations," Lecture Notes in Physics, Vol. 170, 1982, pp. 507-512.
24. Harten, A., "High Resolution Schemes for Hyperbolic Conservation Laws," Journal of Computational Physics, Vol. 49, 1983, pp. 357-393.
25. Settles, G. S., Bogdonoff, S. M., and Fitzpatrick, T. J., "Detailed Study of Attached and Separated Compression Corner Flowfields in High Reynolds Number Supersonic Flow," AIM Journal, Vol. 17, No. 6, 1979, pp. 579-585.
26. Gerlinger, P., Stoll, P., and Brüggemann, D., "Multigrid Convergence Acceleration for Turbulent Supersonic and Hypersonic Flows," Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 79, No. 3, 1999. pp. 681, 682.
27. Bardina, J. E., Huang, P. G., and Coakley, T. J., "Turbulence Modeling Validation, Testing, and Development," NASA TM 110446, April 1997.
28. Olejniczak, J., Wright, M. J., and Candler, G. V., "Numerical Study of Inviscid Shock Interactions on Double-Wedge Geometries," Journal of Fluid Mechanics, Vol. 352, 1997, pp. 1-25.
29. Oertel, H., "Mach Wave Radiation of Hot Supersonic Jets Investigated by Means of the Shock Tube and New Optical Techniques," Proceedings of the 12th International Symposium on Shock Tubes and Waves, edited by A. Lifshitz and J. Rom, Magnus Press, Jerusalem, 1979, pp. 266-275.
30. Tam, C. K. W., and Hu, F. H., "On the Three Families of Instability Waves of High-Speed Jets," Journal of Fluid Mechanics, Vol. 201, 1989, pp. 447-483.
31. Kipke, K., and Hummel, D., "Untersuchungen an Längsangeströmten Eckenkonfigurationen im Hyperschallbereich, Teil I: Ecken Zwischen Ungepfeilten Keilen," Zeitschrift für Flugwissenschaften, Vol. 23, No. 12, 1975, pp. 417-429.
32. D'Ambrosio, D., Marsilio, R., and Pandolfi, M., "Shock-Induced Separated Structures in Symmetric Corner Flows," AIAA Paper 95-2270, June 1995.
33. van Keuk, J., and Ballmann, J., "Numerical Simulation of Symmetric Corner Flows in the Hypersonic Regime," Notes on Numerical Fluid Mechanics, No. 72, Vieweg Verlag, Wiesbaden, Germany, 1999, pp. 250-257.
34. Coratekin, T. A., van Keuk, J., and Ballmann, J., "Preliminary Investigations in 2D and 3D Ramjet Inlet Design," AIAA Paper 99-2667, June 1999.
35. Coleman, G. T., and Stollery, J. L., "Heat Transfer from Hypersonic Turbulent Flow at a Wedge Compression Corner," Journal of Fluid Mechanics, Vol. 56, 1972, pp. 741-752.
36. Coakley, T. J., "Development of Turbulence Models for Aerodynamic Applications," AIAA Paper 97-2009, June 1997.
37. Coratekin, T. A., Schubert, A., and Ballmann, J., "Assessment of Eddy Viscosity Models in 2D and 3D Shock/Boundary-Layer Interactions," Engineering Turbulence Modelling an Experiments 4, Elsevier, Munich, 1999, pp. 649-658.
38. Kussoy, M. I., Horstman, K. C., and Horstman, C. C., "Hypersonic Crossing Shock-Wave/Turbulent-Boundary-Layer Interactions," AIAA Journal, Vol. 31, No. 12, 1993, pp. 2197-2203.
39. Gaitonde, D., Shang, J., and Visbal, M., "Structure of a Double-Fin Turbulent Interaction at High Speed," AIAA Journal, Vol. 33, No. 2, 1995, pp. 193-200.
40. Narayanswami, N., Horstman, C. C., and Knight, D. D., "Computation of Crossing Shock/Turbulent Boundary Layer Interaction at Mach 8.3," AIAA Journal, Vol. 31, No. 8, 1993, pp. 1369-1376.
41. Spalart, P. R., "Trends in Turbulence Treatments," AIAA Paper 2000-2306, Sept. 2000.