Turbulence modeling for time-dependent RANS and VLES: A review

AIAA Journal

Volumn 36, Issue 2, 1998, Pages 173-184

  Speziale, Charles G ^a,b,c  

^a BOSTON UNIVERSITY   (United States)

^b Mechanical and Aerospace Engineering Department   (United States)

^c AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0342566576     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.7499     Document Type: Review

References (52)

1. Smagorinsky, J., "General Circulation Experiments with the Primitive Equations," Month. Weath. Rev., Vol. 93, 1963, pp. 99-165.
2. Deardorff, J. W., "A Numerical Study of Three-Dimensional Turbulent Channel Flow at Large Reynolds Numbers," Journal of Fluid Mechanics, Vol. 41, 1970, pp. 453-480.
3. Leonard, A., "On the Energy Cascade in Large-Eddy Simulations of Turbulent Flows," Advance in Geophysics A, Vol. 18, 1974, pp. 237-248.
4. Ferziger, J. H., "Large-Eddy Simulation of Turbulent Flows," AIAA Paper 76-347, Jan. 1976.
5. Clark, R. A., Ferziger, J. H., and Reynolds, W. C., "Evaluation of Subgrid-Scale Models Using an Accurately Simulated Turbulent Flow," Journal of Fluid Mechanics, Vol. 91, 1976, pp. 1-16.
6. Erlebacher, G., Hussaini, M. Y., Speziale, C. G., and Zang, T. A., "Toward the Large-Eddy Simulation of Compressible Turbulent Flows," Journal of Fluid Mechanics, Vol. 238, 1992, pp. 155-185.
7. Rogallo, R. S., and Moin, P., "Numerical Simulation of Turbulent Flows," Annual Review of Fluid Mechanics, Vol. 16, 1984, pp. 99-137.
8. Biringen, S., and Reynolds, W. C., "Large-Eddy Simulation of the Shear Free Turbulent Boundary Layer," Journal of Fluid Mechanics, Vol. 103, 1981, pp. 53-63.
9. Moin, P., and Kim, J., "Numerical Investigation of Turbulent Channel Flow," Journal of Fluid Mechanics, Vol. 118, 1982, pp. 341-377.
10. Speziale, C. G., "Galilean Invariance of Subgrid Scale Models in the Large-Eddy Simulation of Turbulence," Journal of Fluid Mechanics, Vol. 156, 1985, pp. 55-62.
11. 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, TR TF-19, Stanford Univ., Stanford, CA, May 1983.
12. Piomelli, U., Ferziger, J. H., and Moin, P., "Models for Large-Eddy Simulations of Turbulent Channel Flows Including Transpiration," Dept. of Mechanical Engineering, TK TF-32, Stanford Univ., Stanford, CA, Dec. 1987.
13. Schumann, U., "Subgrid Scale Models for Finite Difference Simulations of Turbulent Flows in Plane Channels and Annuli," Journal of Camputational Physics, Vol. 18, 1975, pp. 376-404.
14. Schumann, U., "Large-Eddy Simulation of the Upsiope Boundary Layer," Quarterly of Journal of the Royal Meteorological Society, Vol. 116, 1990, pp. 637-670.
15. Speziale, C. G., Erlebacher, G., Zang, T. A., and Hussaini, M. Y., "The Subgnd Scale Modeling of Compressible Turbulence," Physics of Fluids, Vol. 31, 1988, pp. 940-942.
16. Erlebacher, G., Hossaini, M. Y., Speziale, C. G., and Zang, T. A., "On the Large-Eddy Simulation of Compressible Isotropic Turbulence," Lecture Notes in Physics, Vol. 371, 1990, pp. 121-126.
17. Germano, M., Piomelli, U., Moin, P., and Cabot, W. H., "A Dynamic Subgrid Scale Eddy Viscosity Model," Physics of Fluids A, Vol. 3, 1991, pp. 1760-1765.
18. Hussaini, M. Y., Speziale, C. G., and Zang, T. A., "Discussion of the Potential and Limitations of Direct and Large-Eddy Simulations," Lecture Notes in Physics, Vol. 357, 1990, pp. 354-368.
19. Hinze, J. O., Turbulence, 2nd ed., McGraw-Hill, New York, 1975.
20. Launder, B. E., and Spalding, D. B., "The Numerical Computation of Turbulent Flows," Comutational Methods in Applied Mechanical Engineering, Vol. 3, 1974, pp. 269-289.
21. Reynolds, W. C., "Fundamentals of Turbulence Modeling and Simulation," Lecture Notes for Van Kármán Institute, AGARD Lecture Series No. 86, 1987, pp. 1-66.
22. Speziale, C. G., "Analytical Methods for the Development of Reynolds-Stress Closures in Turbulence," Annual Review of Fluid Mechanics, Vol. 23, 1991, pp. 107-157.
23. Rodi, W., "A New Algebraic Relation for Calculating the Reynolds Stresses," ZAMM, Vol. 56, 1976, pp. T219-T221.
24. Speziale, C. G., Sarkar, S., and Gatski, T. B., "Modeling the Pressure-Strain Correlation of Turbulence: An Invariant Dynamical Systems Approach," Journal of Fluid Mechanics, Vol. 227, 1991, pp. 245-272.
25. Pope, S. B., "A More General Effective Viscosity Hypothesis," Journal of Fluid Mechanics, Vol. 72, 1975, pp. 331-340.
26. Gatski, T. B., and Speziale, C. G., "On Explicit Algebraic Stress Models for Complex Turbulent Flows," Journal of Fluid Mechanics, Vol. 254, 1993, pp. 59-78.
27. Speziale, C. G., and Xu, X. H., "Towards the Development of Secoad-Order Closure Models for Nun-Equilibrium Turbulent Flows," International Journal of Heat and Fluid Flow, Vol. 17, No. 3, 1996, pp. 238-244.
28. Abid, R., Morrison, J. H., Gatski, T. B., and Speziale, C. G., "Prediction of Aerodynamic Flows with a New Explicit Algebraic Stress Model," AIAA Journal, Vol. 34, No. 12, 1996, pp. 2632-2635.
29. Speziale, C. G., "Modeling of Turbulent Transport Equations," Simulation and Modeling of Turbulent Flows, edited by T. B. Gatski, M. Y. Hussaini, and J. L. Lumley, Oxford Univ. Press, Oxford, England, UK, 1996, pp. 185-242.
30. Daly, B. J., and Harlow, F. H., "Transport Equations in Turbulence," Physics of Fluids, Vol. 13, 1970, pp. 2634-2649.
31. Hanjalic, K., and Launder, B. E., "A Reynolds Stress Model of Turbulence and its Application to Thin Shear Flows," Journal of Fluid Mechanics, Vol. 52, 1972, pp. 609-638.
32. Mellor, G. L., and Herring, H. J., "A Survey of Mean Turbulent Field Closure Models," AIAA Journal, Vol. 11, No. 5, 1973, pp. 590-599.
33. Launder, B. E., Recce, G. J., and Rodi, W., "Progressin the Development of a Reynolds Stress Turbulence Closure," Journal of Fluid Mechanics, Vol. 68, 1975, pp. 537-566.
34. Gibson, M. M., and Launder, B. E., "Ground Effects on Pressure Fluctuations in the Atmospheric Boundary Layer," Journal of Fluid Mechanics, Vol. 86, 1978, pp. 491-511.
35. Rotta, J. C., "Recent Attempts to Develop a Generally Applicable Calculation Method for Turbulent Shear Flow Layers," AGARD-CP-93, 1972.
36. Abid, R., and Speziale, C. G., "Predicting Equilibrium States with Reynolds Stress Closures in Channel Flow and Homogeneous Shear Flow," Physics of Fluids A, Vol. 5, 1993, pp. 1776-1782.
37. Tavoularis, S., and Karnik, U., "Further Experiments on the Evolution of Turbulent Stresses and Scales in Uniformly Sheared Turbulence," Journal of Fluid Mechanics, Vol. 204, 1989, pp. 457-478.
38. Rogers, M. M., "The Structure of a Passive Scalar Field with a Uniform Mean Gradient in Rapidly Sheared Homogeneous Turbulent Flow," Physics of Fluids A, Vol. 1991, pp. 144-154.
39. Lee, M. J., Kim, J., and Moin, P., "Structure of Turbulence at High Shear Rate," Journal of Fluid Mechanics, Vol. 216, 1990, pp. 561-583.
40. Saffman, P. G., "Results of a Two-Equation Model for Turbulent Flows and Development of a Relaxation Stress Model for Application to Straining and Rotating Flows," Proceedings of Project SQUID Workshop on Turbulence in Internal Flows, edited by S. Murthy, Hemisphere, New York, 1977, pp. 191-231.
41. Speziale, C. G., and Abid, R., "Near-Wall Integration of Reynolds Stress Tubulence Closures with No Wall Damping," AIAA Journal, Vol. 33, No. 10, 1995, pp. 1974-1977.
42. Orszag, S. A., Staroselsky, I., and Yakhot, V., "Some Basic Challenges for Large-Eddy Simulation Research," Large-Eddy Simulation of Complex Engineering and Geophysical Flows, edited by B. Galperin and S. A. Orszag, Cambridge Univ. Press, New York, 1993, pp. 237-374.
43. Speziale, C. G., Abid, R., and Blaisdell, G. A., "On the Consistency of Reynolds Stress Turbulence Closures with Hydrodynamic Stability Theory," Physics of Fluids, Vol. 8, 1996, pp. 781-788.
44. Speziale, C. G., "On Nonlinear K-ℓ and K-ε Models of Turbulence," Journal of Fluid Mechanics, Vol. 178, pp. 459-475.
45. Yoshizawa, A., "Statistical Analysis of the Deviation of the Reynolds Stress from its Eddy Viscosity Representation," Physics of Fluids, Vol. 27, pp. 1377-1387.
46. Rubinstein, R., and Barton, J. M., "Nonlinear Reynolds Stress Models and the Renormalization Group," Physics of Fluids A, Vol. 2, pp. 1472-1476.
47. Kim, J., Kline, S. J., and Johnston, J. P., "Investigation of a Reattaching Turbulent Shear Layer. Flow Over a Backward Facing Step," Journal of Fluids Engineering, Vol. 102, 1980, pp. 302-308.
48. Eaton, J. K., and Johnston, J. P., Turbulent Flow Reattachment: An Experimental Study of the Flow and Structure Behind a Backword Facing Step," Dept. of Mechanical Engineering, TR MD-39, Stanford Univ., Stanford, CA, June 1980.
49. Speziale, C. G., and Ngo, T., "Numerical Solution of Turbulent Flow Past a Backward Facing Step Using a Nonlinear K-ε Model," International Journal of Engineering Science, Vol. 26, 1988, pp. 1099-1112.
50. Wieghardt, K., and Tillman, W., "On the Turbulent Friction Layer for Rising Pressure," NACA TM 1314, Oct. 1951.
51. Speziale, C. G., Abid, R., and Anderson, E. C., "Critical Evaluation of Two-Equation Models for Near-Wall Turbulence," AIAA Journal, Vol. 30, No. 2, 1992, pp. 324-331.
52. Schmitt, V., and Charpin, F., "Pressure Distribution on the ONERA M6 Wing at Transonic Mach Numbers," AGARD-AR-138, May 1979.