The effect of compressibility on turbulent shear flow: A rapid-distortion-theory and direct-numerical-simulation study

Journal of Fluid Mechanics

Volumn 330, Issue , 1997, Pages 307-338

  Simone, A ^a   Coleman, G N ^b   Cambon, C ^a  

^a ECOLE CENTRALE DE LYON   (France)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; COMPRESSIBILITY; COMPUTER SIMULATION; CORRELATION METHODS; EFFECTS; KINEMATICS; NAVIER STOKES EQUATIONS; NUMERICAL METHODS; PRESSURE; STRAIN RATE; STRESSES; TURBULENCE;

DILATATIONAL DISSIPATION; KINETIC ENERGY; MACH NUMBER; RAPID DISTORTION THEORY; SHEAR RATE;

SHEAR FLOW;

SHEAR FLOW; SIMULATION-NUMERICAL; TURBULENCE;

COMPRESSIBILITY; FLOW MODELLING; TURBULENT SHEAR FLOW;

EID: 0030812982     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112096003837     Document Type: Article

References (46)

1. BATCHELOR, G. K. & PROUDMAN, I. 1954 The effect of rapid distortion of a fluid in turbulent motion. Q. J. Mech. Appl. Math. 7, 121-152.
2. BENOTT, J. P. 1992 Etude expérimentale et théorique d'une turbulence homogène soumise à des effets couplés de rotation et de déformation. Thèse de Doctorat, Université Claude Bernard Lyon I, France.
3. BLAISDELL, G. A., COLEMAN, G. N. & MANSOUR, N. N. 1996 Rapid distortion theory for compressible homogeneous turbulence under isotropic mean strain. Phys. Fluids 8, 2622-2705
4. BLAISDELL, G. A., MANSOUR, N. N. & REYNOLDS, W. C. 1991 Numerical simulation of compressible homogeneous turbulence. Dept of Mech. Engng, Stanford University, Thermosciences Div. Rep. TF-50.
5. BLAISDELL, G. A., MANSOUR, N. N. & REYNOLDS, W. C. 1993 Compressibility effects on the growth and structure of homogeneous turbulent shear flow. J. Fluid Mech. 256, 443-485.
6. BRADSHAW, P. 1977 Compressible turbulent shear layers. Ann. Rev. Fluid Mech. 9, 33-54.
7. CAMBON, C. 1982 Etude spectrale d'un champ turbulent incompressible soumis à des effets couplés de déformation et de rotation imposés extérieurement. Thèse d'État, Université Claude Bernard Lyon I, France.
8. CAMBON, C., BENOIT, J. P., SHAO, L. & JACQUIN, L. 1994 Stability analysis and large eddy simulation of rotating turbulence with organized eddies. J. Fluid Mech. 278, 175-200.
9. CAMBON, C., COLEMAN, G. N. & MANSOUR, N. N. 1993 Rapid distortion analysis and direct simulation of compressible homogeneous turbulence at finite Mach number. J. Fluid Mech. 257, 641-665.
10. CAMBON, C., TEISSEDRE, C. & JEANDEL, D. 1985 Etude d'effets couplés de déformation et de rotation sur une turbulence homogène. J. Méc. Théor. Appl. 4, 629-657
11. CLEMENS, N. T. & MUNGAL, M. G. 1995 Large-scale structure and entrainment in the supersonic mixing layer. J. Fluid Mech. 284, 171-216.
12. DURBIN, P. A. & ZEMAN, O. 1992 Rapid distortion theory for homogeneous compressed turbulence with application to modelling. J. Fluid Mech. 242, 349-370.
13. ERINGEN, A. C. 1980 Mechanics of Continua. Wiley.
14. FERNHOLZ, H. H. & FINLEY, P. J. 1977 A critical compilation of compressible turbulent boundary layer data. AGARDograph 223.
15. FERNHOLZ, H. H. & FINLEY, P. J. 1980 A critical commentary on mean flow data for two-dimensional compressible turbulent boundary layers. AGARDograph 253.
16. FERNHOLZ, H. H., SMITS, A. J., DUSSAUGE, J.-P. & FINLEY, P. J. 1989 A survey of measurements and measuring techniques in rapidly distorted compressible turbulent boundary layers. AGARDograph 315.
17. FRIEDRICH, R. 1993 Compressible turbulence. Lehrstuhl für Fluidmechanik, Technische Universität München, Space Course 1993 class notes.
18. FRIEDRICH, R. 1996 Compressibility effects due to turbulent fluctuations. Eur. Turb. Conf. 6, Lausanne, 2-5 July 1996, Invited lecture.
19. GOLDSTEIN, M. E. 1978 Unsteady vortical and entropic distortions of potential flows round arbitrary obstacles. J. Fluid Mech. 89, 433-468.
20. HUANG, P. G., COLEMAN, G. N. & BRADSHAW, P. 1995 Compressible turbulent channel flows: DNS results and modelling. J. Fluid Mech. 305, 185-218.
21. JACQUIN, L., CAMBON, C. & BLIN, E. 1993 Turbulence amplification by a shock wave and rapid distortion theory. Phys. Fluids A 10, 2539-2550.
22. KEVLAHAN, N. K. R. & HUNT, C. J. R. 1996 Nonlinear interactions in turbulence with strong irrotational straining. Submitted to J. Fluid Mech.
23. KOVASZNAY, L. S. G. 1953 Turbulence in supersonic flow. J. Aeronaut. Sci. 20, 657-682.
24. LEE, S., LELE, S. K. & MOIN, P. 1993 Direct numerical simulation of isotropic turbulence interacting with a weak shock wave. J. Fluid Mech. 251, 533-562.
25. LELE, S. K. 1994 Compressibility effects on turbulence. Ann. Rev. Fluid Mech. 26, 211-254.
26. MARION, J. D. 1988 Etude spectrale d'une turbulence isotrope compressible. Thèse de Doctorat, Ecole Centrale de Lyon, France.
27. MONIN, A. S. & YAGLOM, A. M. 1971 Statistical Fluid Mechanics: Mechanics of Turbulence. The MIT Press.
28. PAPAMOSCHOU, D. & ROSHKO, A. 1988 The compressible turbulent mixing layer: an experimental study. J. Fluid Mech. 197, 453-477.
29. ROGALLO, R. S. 1981 Numerical experiments in homogeneous turbulence. NASA TM-81315.
30. ROGERS, M. M. 1991 The structure of a passive scalar field with a uniform mean gradient in rapidly sheared homogeneous turbulent flow. Phys. Fluids A 3, 144-154.
31. SALHI, A. & CAMBON, C. 1996 A new analysis of rotating shear flows using linear approach and DNS-LES results. Submitted to J. Fluid Mech.
32. SANDHAM, N. D. & REYNOLDS, W. C. 1991 Three-dimensional simulations of large eddies in the compressible mixing layer. J. Fluid Mech. 224, 133-158.
33. SARKAR, S. 1995 The stabilizing effect of compressibility in turbulent shear flow. J. Fluid Mech. 282, 163-186.
34. SARKAR, S., ERLEBACHER, G. & HUSSAINI, M. Y. 1991a Direct simulation of compressible turbulence in a shear flow. Theoret. Comput. Fluid Dyn. 2, 291-305.
35. SARKAR, S., ERLEBACHER, G., HUSSAINI, M. Y. & KREISS, O. 1991b The analysis and modelling of dilatational terms in compressible turbulence. J. Fluid Mech. 227, 473-493.
36. SETTLES, G. S. & DODSON, L. J. 1991 Hypersonic shock/boundary layer interaction database. NASA Contractor Rep. 177577.
37. SIMONE, A. 1995 Etude théorique et simulation numérique de la turbulence compressible en présence de cisaillement ou de variation de volume à grande échelle. Thèse de Doctorat, Ecole Centrale de Lyon, France.
38. SIMONE, A. & CAMBON, C. 1995a Revisiting compressible homogeneous shear flow at finite Mach number by means of rapid distortion theory. Proc. Fifth European Turbulence Conf. Siena, Italy. Advances in Turbulence (ed. R. Benzi). Kluwer.
39. SIMONE, A. & CAMBON, C. 1995b Rapid distortion and direct numerical approach to compressibility in turbulent shear flow. Tenth Symp. on Turbulent Shear Flows, Penn. State U., Aug. 14-16.
40. SPEZIALE, C. G., ABID, R. & MANSOUR, N. N. 1995 Evaluation of Reynolds stress turbulence closures in compressible homogeneous shear flow. J. Appl. Math. Phys., Special Issue 46, S717-S736.
41. SPINA, E., SMITS, A. J. & ROBINSON, S. 1994 Supersonic turbulent boundary layers. Ann. Rev. Fluid Mech. 26, 287-319.
42. SPYROPOULOS, E. T. & BLAISDELL, G. A. 1996 Evaluation of the dynamic model for simulation of compressible decaying isotropic turbulence. AIAA J. 34, 990-998.
43. TAVOULARIS, S. & CORRSIN, S. 1981 Experiments in nearly homogeneous turbulent shear flow with a uniform mean gradient temperature. Part I. J. Fluid Mech. 104, 311-347.
44. TOWNSEND, A. A. 1976 The Structure of Homogeneous Turbulence. Cambridge University Press.
45. VREMAN, W. A., SANDHAM, N. D. & LUO, K. H. 1996 Compressible mixing layer growth rate and turbulence characteristics. J. Fluid Mech. 320, 235-258.
46. ZEMAN, O. 1990 Dilatation dissipation: The concept and application in modelling compressible mixing layers. Phys. Fluids A 2, 178-188.