Dilatation-dissipation corrections for advanced turbulence models

AIAA Journal

Volumn 30, Issue 11, 1992, Pages 2639-2646

  Wilcox, David C ^a  

^a DCW Industries Inc   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYERS; ERROR CORRECTION; FRICTION; HYPERSONIC AERODYNAMICS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; WIND TUNNELS;

COMPRESSIBILITY MODIFICATION; DILATION DISSIPATION CORRECTIONS; FLOW COMPUTATIONS; REYNOLDS NUMBER; SARKAR AND ZEMAN TERMS; TURBULENCE MODELS; VON KARMAN CONSTANT;

TURBULENT FLOW;

EID: 0026955719     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/3.11279     Document Type: Article

References (29)

1. Beam, R. M., and Warming, R. F., “An Implicit Finite-Difference Algorithm for Flyperbolic Systems in Conservation Law Form,”Journal of Computational Physics, Vol. 22, Sept. 1976, pp. 87-110.
2. vanLeer, B., “Towards the Ultimate Conservative Difference Schemes V. A Second Order Sequel to Godunov’s Method,”Journal of Computational Physics, Vol. 32, July 1979, pp. 101-136.
3. MacCormack, R.W., “A Numerical Method for Solving the Equations of Compressible Viscous Flow,” AI AA Paper 81-0110, Jan. 1981.
4. Roe, P. L., “Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes,”Journal of Computational Physics, Vol. 43, Oct. 1981, pp. 357-372.
5. MacCormack, R.W., “Current Status of Numerical Solutions of the Navier-Stokes Equations,” AIAA Paper 85-0032, Jan. 1985.
6. Jones, W. P. and Launder, B. E., “The Prediction of Laminariza-tion with a Two-Equation Model of Turbulence,”International Journal of Heat and Mass Transfer, Vol. 15, Feb. 1972, pp. 301-314.
7. Wilcox, D. C., “Reassessment of the Scale Determining Equation for Advanced Turbulence Models,”AIAA Journal, Vol. 26, No. 11, 1988, pp. 1299-1310.
8. Rodi, W. and Scheuerer, G., “Scrutinizing the k-t Turbulence Model Under Adverse Pressure Gradient Conditions,”Transactions of the ASME, Vol. 108, June 1986, pp. 174-179.
9. Lakshminarayana, B., “Turbulence Modeling for Complex Shear Flows,”AIAA Journal, Vol. 24, No. 12, 1986, pp. 1900-1917.
10. Kolmogorov, A. N., “Equations of Turbulent Motion of an Incompressible Fluid,” Izvestiya Academy of Sciences, USSR; Physics, Vol. 6, Nos. 1, 2, 1942, pp. 56-58.
11. Saffman, P. G., “A Model for Inhomogeneous Turbulent Flow,” Proceedings of the Royal of Society, London, Series A, Vol. A317, June 1970, pp. 417-433.
12. Wilcox, D. C., “Multiscale Model for Turbulent Flows,”AIAA Journal, Vol. 26, No. 11, 1988, pp. 1311-1320.
13. Sarkar, S., Erlebacher, G., Hussaini, M. Y., and Kreiss, H. O., “The Analysis and Modeling of Dilatational Terms in Compressible Turbulence,” Institute for Computer Applications in Science and Engineering, Rept. 89-79, Hampton, VA, 1989.
14. Zeman, O., “Dilatational Dissipation: The Concept and Application in Modeling Compressible Mixing Layers,” Physics of Fluids A, Vol. 2, No. 2, Feb. 1990, pp. 178-188.
15. Wilcox, D. C., Turbulence Modeling for CFD, DCW Industries, Inc., La Cañada, CA, 1992.
16. Rubel, A., and Melnik, R. E., “Jet, Wake and Wall Jet Solutions Using a k-t Turbulence Model,” AIAA Paper 84-1523, June 1984.
17. Kline, S. J., Cantwell, B. J., and Lilley, G. M., 1980-81 AFOSR-HTTM-Stanford Conference on Complex Turbulent Flows, Vol. 1, Stanford Univ. Press, Stanford, CA, 1982, p. 368.
18. Blottner, F. G., “Variable Grid Scheme Applied to Turbulent Boundary Layers,”Computer Methods in Applied Mechanics and Engineering, Vol. 4, No. 2, Sept. 1974, pp. 179-194.
19. Settles, G. S., Vas, I. E., and Bogdonoff, S. M., “Details of a Shock Separated Turbulent Boundary Layer at a Compression Corner,”AIAA Journal, Vol. 14, No. 12, 1976, pp. 1709-1715.
20. Wilcox, D. C., “Program EDDY2C User’s Guide,” DCW Industries, Inc., Rept. DCW-R-NC-07, La Cañada, CA, Sept. 1990.
21. Saffman, P. G., and Wilcox, D. C., “Turbulence-Model Predictions for Turbulent Boundary Layers,” AIAA Journal, Vol. 12, No. 4, 1974, pp. 541-546.
22. Cole, J., Perturbation Methods in Applied Mathematics, Blais-dell, Waltham, MA, 1968, pp. 106-111.
23. van Driest, E. R., “Turbulent Boundary Layer in Compressible Fluids,” Journal of the Aeronautical Sciences, Vol. 18, March 1951, pp. 145-160, 216.
24. Wilcox, D. C., and Traci, R. M., “A Complete Model of Turbulence,” AIAA Paper 76-351, July 1976.
25. Patel, V. C., Rodi, W., and Scheuerer, G., “Turbulence Models for Near-Wall and Low Reynolds Number Flows: A Review,”AIAA Journal, Vol. 23, No. 9, 1985, pp. 1308-1319.
26. Huang, P. G., Bradshaw, P., and Coakley, T. J., “Assessment of Closure Coefficients for Compressible-Flow Turbulence Models,” NASA TM-103882, 1992.
27. Wilcox, D. C., “Supersonic Compression-Corner Applications of a Multiscale Model for Turbulent Flows,”AIAA Journal, Vol. 28, No. 7, 1990, pp. 1194-1198.
28. Bardina, J., Ferziger, J. H., and Reynolds, W. C., “Improved Turbulence Models Based on Large Eddy Simulation of Homogeneous, Incompressible, Turbulent Flows,” Dept, of Mechanical Engineering, Stanford Univ., Rept. TF-19, Stanford, CA, 1983.
29. Favre, A., “Equations des Gaz Turbulents Compressibles,”Journal de Mécanique, Vol. 4, No. 3, 1965, pp. 361-390.