Towards modeling in homogeneous compressible turbulence using a two-scale statistical theory

Physics of Fluids

Volumn 9, Issue 9, 1997, Pages 2749-2768

  Hamba, Fujihiro ^a   Blaisdell, Gregory A ^b  

^a INSTITUTE OF INDUSTRIAL SCIENCE   (Japan)

^b Purdue University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; DENSITY (SPECIFIC GRAVITY); ENERGY DISSIPATION; MATHEMATICAL MODELS; STATISTICAL METHODS; TURBULENCE; TURBULENT FLOW; VELOCITY;

COMPRESSIBLE TURBULENCE; DIRECT NUMERICAL SIMULATION; ENERGY EQUATION; KINETIC ENERGY; MACH NUMBER; TWO SCALE DIRECT INTERACTION APPROXIMATION;

COMPRESSIBLE FLOW;

MODELLING; REYNOLDS STRESSES; TURBULENCE;

COMPRESSIBILITY; FLOW MODELLING; TURBULENT FLOW;

EID: 0031238923     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869386     Document Type: Article

References (44)

1. S. K. Lele, "Compressibility effects on turbulence," Annu, Rev. Fluid Mech. 26, 211 (1994).
2. S. Kida and S. A. Orszag, "Energy and spectral dynamics in forced compressible turbulence," J. Sci. Comput. 5, 85 (1990).
3. S. Sarkar, A. Erlebacher, M. Y. Hussaini, and H. O. Kreiss, "The analysis and modelling of dilatational terms in compressible turbulence," J. Fluid Mech. 227, 473 (1991).
4. S. Sarkar, G. Erlebacher, and M. Y. Hussaini, "Direct simulation of compressible turbulence in a shear flow," Theor. Comput. Fluid Dyn. 2, 291 (1991).
5. G. A. Blaisdell, N. N. Mansour, and W. C. Reynolds, "Numerical simulations of compressible homogenseous turbulence," Report No. TF-50, Department of Mechanical Engneering, Stanford University, 1991.
6. G. A. Blaisdell, N. N. Mansour, and W. C. Reynolds, "Compressibility effects on the growth and structure of homogeneous turbulent shear flow," J. Fluid Mech. 256, 443 (1993).
7. G. N. Coleman and N. N. Mansour, "Modeling the rapid compression of isotropic turbulence," Phys. Fluids A 3, 2255 (1991).
8. S. Lee, P. Moin, and S. K. Lele, "Interaction of isotropic turbulence with a shock wave," Report No. TF-52, Department of Mechanical Engineering, Stanford University, 1992.
9. S. Lee, S. K. Lele, and P. Moin, "Direct numerical simulation of isotropic turbulaence interacting with a weak shock wave," J. Fluid Mech. 251, 533 (1993).
10. S.Lee, S. K. Lele, and P. Moin, "Interaction of isotropic turbulence with a strong shock wave," AIAA Paper No. 94-0311, 1994.
11. K. Mahesh, P. Moin, and S. K. Lele, "The interaction of a shock wave with a turbulent shear flow," Report No. TF-69, Department of Mechanical Engineering, Standfotd University, 1996.
12. O. Zeman, "Dilatation dissipation: The concept and applicatoin in modeling compressible mixing layers," Phys. Fluids A 2, 178 (1990).
13. S. Sarkar, "The presure-dilatation correlation in compressible flows," Phys. Fluids A 4, 2674 (1992).
14. O. Zeman, "On the decay of compressible isotropic turbulence," Phys. Fluids A 3, 951 (1991).
15. S. Sarkar, "The stabilizing effect of compressibility in turbulent shear flow," J. Fluid Mech 282, 163 (1995).
16. A. Yoshizawa, "Three-equation modeling of inhomogeneous compressible turbulence based on a two-scale direct-interaction approximation," Phys. Fluids A 2, 838 (1990).
17. A. Yoshizawa, "Statistical analysis of compressible turbulent sher flows with special emphasis on turbulence modeling," Phys. Rev. A 46, 3292 (1992).
18. D. Taulbee and J. VanOsdol, "Modeling turbulent compressible flows: The mass fluctuating velocity and squared density," AIAA Paper No. 91-0524, 1991.
19. H. Fujiwara and C. Arakawa, "Direct numerical simulation and modeling of compressible isotropic turbulence," in Proceedings of 9th Symposium on Turbulent Shear Flows (Kyoto, 1993), p. 22-2-1.
20. H. Fujiwara, "Compressibility effects on shear turbulence," Ph.D. thesis, University of Tokyo, 1996.
21. Y. Matsuo, "Compressibility effects on the growth rate of hypersonic mixing layers," in Proceedings of 8th Symposium on Computational Fluid Dynamics (Japan Society of Computational Fluid Dynamics, Tokyo, 1994), p. 395.
22. G. P. Zank and H. Matthaeus, "The equations of nearly incompressible fluids. I. Hydrodynamics, turbulence, and waves," Phys. Fluids A 3, 69 (1991).
23. J. R. Ristorcelli, "A pseudo-sound constitutive relationship for the dilatational covariances in compressible turbulence: An analytical theory," NASA ICASE Report, No. 95-22. 1995.
24. J. R. Ristorcelli and G. A. Blaisdell, "Consistent initial conditions for the DNS of compressible turbulence, Phys. Fluids 9, 4 (1997).
25. A. Yoshizawa, "Statistical analysis of the deviation of the Reynolds stress from its eddy-viscosity representation," Phys. Fluids 27, 1377 (1984).
26. D. C. Leslie, Developments in the Theory of Turbulence (Clarendon, Oxford, 1973).
27. A. Yoshizawa, "Simplified statistical approach to complex turbulent flows and ensemble-mean compressible turbulence modeling," Phys. Fluids 7, 3105 (1995).
28. R. Rubinstein and G. Erlebacher, "Transport coefficients in weakly compressible turbulence," NASA ICASE Report, No. 96-52, 1996.
29. S. S. Moiseev, V. I. Petviashvily, A. V. Toor, and V. V. Yanovsky, "The influence of compressibility on the selfsimilar spectrum of subsonic turbulence," Physica D 2, 218 (1981).
30. T. Passot, A. Pouquet, and P. Woodward, "The plausibility of Kolimogorov-type spectra in molecular clouds," Astron. Astrophys. 197, 228 (1988).
31. D. Gresillon, G. Gemaux, B. Cabrit, and J. P. Bonnet, "Observation of supersonic turbulent wakes by laser Fourier densitometry (LFD)," Eur. J. Mech. B Fluids, 9, 415 (1990).
32. F. Bataille and J.-P. Bertoglio, "Short and long term behaviour of weakly compressible turbulece," Transitional and Turbulent Compressible Flows (American Society for Mechanical Engineers, New York, 1993). FED-Vol. 151.
33. G. N. Coleman, J. Kim, and R. D. Moser, "A numerical study of turbulent supersonic isothermal-wall channel flow," J. Fluid Mech. 305, 159 (1995).
34. P. G. Huang, G. N. Coleman, and P. Bradshaw, "Compressible turbulent channel flows: DNS results and modelling," J. Fluid Mech. 305, 185 (1995).
35. A. Yoshizawa and S. Nisizima, "A nonequilibrium representation of the turbulent viscosity based on a two-scale turbulence theory," Phys. Fluids A 5, 3302 (1993).
36. G. A. Blaisdell and O. Zeman, "Investigation of the dilatational dissipation in compressible homogeneous shear flow," Proceedings of the Summer Program, Center for Turbulence Research, Stanford/NASA Ames, 1992, p. 231.
37. Y. Shimomura, "A theoretical modeling of weakly compressible turbulent flows," to appear in Int. J. Heat Fluid Flow.
38. C. G. Speziale, "On nonlinear K-l and K-ε models of turbulence," J. Fluid Mech. 178, 459 (1987).
39. S. Nisizima and A. Yoshizawa, "Turbulent channel and Couette flows using an anisotropic k - ε model," AIAA J. 25, 414 (1987).
40. A. Yoshizawa, "A statistical investigation of transport equation for energy dissipation in shear turbulence," J. Phys Soc. Jpn. 51, 1983 (1982).
41. A. Yoshizawa, "Statistical modeling of a transport equation for the kinetic energy dissipation rate," Phys. Fluids 30, 628 (1987).
42. F. Hamba, "Statistical investigation of the energy dissipation equation in shear turbulence," J Phys. Soc. Jpn. 56, 3771 (1987).
43. R. S. Rogallo, "Numerical experiments in homogeneous turbulence," NASA Technical Memorandum 81315, 1981
44. A. W. Vreman, N. D. Sandham, and K. H. Luo, "Compressible mixing layer growth rate and turbulence characteristics," J. Fluid Mech. 320, 235 (1996).