A two-time-scale turbulence model for compressible flows: Turbulence dominated by mean deformation interaction

Physics of Fluids

Volumn 11, Issue 12, 1999, Pages 3793-3807

  Gregoire O ^a   Souffland, D ^a   Gauthier, S ^a   Schiestel, R ^b  

^a CEA DIF   (France)

^b AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 5844282076     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.870222     Document Type: Article

References (43)

1. P. Bradshaw, "Compressible turbulent shear layers," Annu. Rev. Fluid Mech. 9, 33 (1977).
2. W. Kollmann and D. Vandromme, "The calculation of free turbulent shear flows with strong density fluctuations," Int. J. Heat Mass Transf. 22, 1557 (1979).
3. M. Rubesin, "Extra compressibility terms for Favre averaged two-equation models of inhomogeneous turbulent flows," Technical Report No. CR-177556, NASA, June 1990.
4. S. K. Lele, "Compressibility effects on turbulence," Annu. Rev. Fluid Mech. 26, 211 (1994).
5. V. S. Krishnamurty and W. Shyy, "Study of compressibility modifications to the k-ε turbulence model," Phys. Fluids 9, 2769 (1997).
6. AGARD, "Special course on shock-wave/boundary layer interactions in supersonic and hypersonic flows," Technical Report No. AGARD-R-792, AGARD-FDP-VKI, 1993.
7. S. Gauthier and M. Bonnet, "A k-ε model for turbulent mixing in shock-tube flows induced by Rayleigh-Taylor instability,ε Phys. Fluids A 2, 1685 (1990).
8. R. Schiestel, "53ur un nouveau modèle de turbulence appliqué aux transferts de quantité de mouvement et de chaleur," thèse de doctorat de l'Université de Nancy, 1974.
9. B. E. Launder and R. Schiestel, "Sur l'utilisation d'échelles temporelles multiples en modélisation des écoulements turbulents," C. R. Acad. Sc. Paris, vol. Série A. 286, 709 (1978).
10. R. Schiestel, "Sur le concept d'échelles multiples en modélisation des écoulements turbulents. I. Schéma multi-échelles pour l'énergie cinétique de la turbulence et la variance d'un scalaire passif," J. Mec. Théor. Appl. 2, 417 (1983).
11. R. Schiestel, "Multiple-time-scale modeling of turbulent flows in one point closures," Phys. Fluids 30, 722 (1987).
12. S.-W. Kim and C.-P. Chen, "A multiple-time-scale turbulence model based on variable partitioning of the turbulent kinetic energy spectrum," Numer. Heat Transfer, Part B 16, 193 (1989).
13. K. Hanjalic, B. E. Launder, and R. Schiestel, "Multiple-time-scale concepts in turbulent transport modeling," in Second International Symposium on Turbulent Shear Flows, London, July 1979 (unpublished), pp. 36-49.
14. S.-W. Kim, "Numerical investigation of separated transonic turbulent flows with a multiple-time-scale model," Numer. Heat Transfer, Part A 18, 149 (1990).
15. K. S. Abdol-Hamid and R. G. Wilmoth, "Multiscale turbulence effects in underexpanded supersonic jets," AIAA J. 27, 315 (1989).
16. D. Wilcox, "Multiscale model for turbulent flows," AIAA J. 26, 1311 (1988).
17. V. Gleize, "Simulation numérique d'écoulements turbulents compressible hors équilibre à l'aide de schémas multiéchelles," thèse de Université Aix-Marseille II, 1994.
18. V. Gleize, R. Schiestel, and V. Couaillier, "Multiple scale modeling of turbulent nonequilibrium boundary layer flows," Phys. Fluids 8, 2716 (1996).
19. V. M. Canuto and I. Goldman, "Analytical model for large-scale turbulence," Phys. Rev. Lett. 54, 430 (1985).
20. D. Alem, "Analyse expérimentale d'une turbulence homogène en écoulement supersonique soumise à un choc droit," Ph.D. thesis, Université de Poitiers, 1995.
21. S. Lee, S. K. Lele, and P. Moin, "Direct numerical simulation of isotropic turbulence interacting with a weak shock wave," J. Fluid Mech. 251, 533 (1993).
22. R. Schiestel, Modélisation et Simulation des Ecoulements Turbulents (Hermès, 1993).
23. C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. A. Zang, Spectral Methods in Fluid Dynamics (Springer, Berlin, 1988).
24. O. Grégoire, "Modèle multiéchelle pour des écoulements turbulents compressibles en présence de forts gradients de densité," thèse de l'Université de la Méditerrannée Aix-Marseille II, 1997.
25. K. O. Mikaelian, "Turbulent mixing generated by Rayleigh-Taylor and Richtmyer-Meshkov instabilities," Physica D 36, 343 (1989).
26. J. O. Hinze, Turbulence (McGraw-Hill, New York, 1959).
27. G. Comte-Bellot and S. Corrsin, "The use of a contraction to improve the isotropy of grid-generated turbulence," J. Fluid Mech. 25, 657 (1966).
28. A. Ansari, "Self-similarity and mixing characteristics of turbulent mixing layers starting from laminar conditions," Phys. Fluids 9, 1714 (1997).
29. M. M. Rogers and R. D. Moser, "Direct simulation of a self-similar turbulent mixing layer," Phys. Fluids 6, 903 (1994).
30. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Oxford University Press, New York, 1961).
31. F. A. De Souza, V. D. Nguyen, and S. Tavoularis, "The structure of highly sheared turbulence," J. Fluid Mech. 303, 155 (1995).
32. H. S. Ribner, "Convection of a pattern of vorticity through a shock wave," Technical Report No. TN 2864, NACA, January 1953.
33. J. Keller and W. Merzkirch, "Interaction of a normal shock wave with a compressible turbulent flow," Exp. Fluids 8, 241 (1990).
34. A. Honkan, C. B. Watkins, and J. Andreopoulos, "Experimental study of interactions of shock wave with free-stream turbulence," J. Fluids Eng. 116, 763 (1994).
35. L. Jacquin, C. Cambon, and E. Blin, "Turbulence amplification by a shock wave and rapid distortion theory," Phys. Fluids A 5, 2539 (1993).
36. S. Barre, D. Alem, and J.-P. Bonnet, "Experimental study of a normal shock/homogeneous turbulence interaction," AIAA J. 34, 968 (1996).
37. D. Rotman, "Shock wave effects on a turbulent flow," Phys. Fluids A 3, 1792 (1991).
38. S. Lee, S. K. Lele, and P. Moin, "Interaction of isotropic turbulence with shock waves; effect of shock strength," J. Fluid Mech. 340, 225 (1997).
39. S. Sarkar, G. Erlebacher, M. Y. Hussaini, and H. O. Kreiss, "The analysis and modeling of dilatational terms in compressible turbulence," J. Fluid Mech. 227, 473 (1991).
40. H. S. Ribner, "Spectra of noise and amplified turbulence emanating from shock-turbulence interaction," AIAA J. 25, 436 (1987).
41. S. Lee, S. K. Lele, and P. Moin, "Eddy shocklets in decaying compressible turbulence," Phys. Fluids A 3, 657 (1991).
42. J.-C. André and M. Lesieur, "Influence of helicity on high Reynolds number isotropic turbulence," J. Fluid Mech. 81, 187 (1977).
43. T. T. Clark and C. Zemach, "A spectral model applied to homogeneous turbulence," Phys. Fluids 7, 1674 (1998).