A critical evaluation of near-wall two-equation models against direct numerical simulation data

International Journal of Heat and Fluid Flow

Volumn 18, Issue 2, 1997, Pages 197-208

  Sarkar, A ^a   So, R M C ^a,b  

^a Arizona State University   (United States)

^b HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

Near wall modeling; Turbulence modeling; Two equation models

Indexed keywords

BOUNDARY LAYER FLOW; CHANNEL FLOW; COMPUTER SIMULATION; REYNOLDS NUMBER; TURBULENCE; TURBULENT FLOW; WALL FLOW;

COUETTE FLOW; NEAR WALL TWO EQUATION MODELS; TURBULENT KINETIC ENERGY;

FLOW PATTERNS;

MODELLING-MATHEMATICAL; SIMULATION-NUMERICAL; TURBULENCE; WALLS;

EID: 0031126609     PISSN: 0142727X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0142-727X(96)00088-4     Document Type: Article

References (40)

1. Abe, K., Kondoh, T. and Nagano, Y. 1994. A new turbulence model for predicting fluid flow and heat transfer in separating and reattaching flows - I flow field calculations. Int. J. Heat Mass Transfer, 37, 139-151
2. Alfredsson, P. H., Johansson, A. V., Haritonidis, J. H. and Eckelmann, H. 1988. The fluctuating wall-shear stress and the velocity field in the viscous sublayer. Phys. Fluids, 31, 1026-1033
3. Chien, K. Y. 1982. Predictions of channel and boundary layer flows with a low-Reynolds-number two-equation model of turbulence. AIAA J., 20, 33-38
4. Deng, G. B. and Piquet, J. 1991. k-ε turbulence model for low Reynolds number wall-bounded shear flow. Proc. 8th Turbulent Shear Flows, (Paper 26-2), Technical University of Munich, Munich, Germany
5. Durbin, P. A. 1991. Near-wall turbulence models without damping functions. Theoret. Comp. Fluid Dynamics, 3, 1-13
6. Hanjalic, K. 1994. Advanced turbulence closure models: A view of current status and future propects. Int. J. Heat Fluid Flow, 15, 178-203.
7. Henry, F. S. and Reynolds, A. J. 1984. Analytical solution of two gradient-diffusion models applied to turbulent Couette flow. J. Fluids Eng., 106, 211-216.
8. Jones, W. P. and Launder, B. E. 1972. The prediction of laminarization with two-equation model of turbulence. Int. J. Heat Mass Transfer, 15, 301-314
9. Jovic, S. and Driver, D. 1994. Backward-facing step measurements at low Reynolds number. NASA TM-108870
10. Karlsson, R. I. and Johansson, T. G. 1988. LDV measurements of higher order moments of velocity fluctuations in a turbulent boundary layer. In Laser Anemometry in Fluid Mechanics, D. F. G. Durao et al. (eds.), Portugal, Ladoan-Instituto Superior Tecnico, 273-289.
11. Karlsson, R. I., Tinoco, H. and Svenson, U. 1991. An improved form of the near-wall k-ε model based on new experimental data. Proc. 8th Turbulent Shear Flows, (Paper 26-3), Technical University of Munich, Munich, Germany
12. Kim, J., Moin, P. and Moser, R. D. 1987. Turbulence statistics in fully developed channel flow at low Reynolds Number. J. Fluid Mech., 177, 133-186
13. Kim, J. 1991. Private communication
14. Kristoffersen, R., Bech, K. H. and Andersson, H. I. 1993. Numerical study of turbulent plane Couette flow at low Reynolds number. Appl. Sci. Research, 51, 337-343
15. Launder, B. E. and Sharma, B. I. 1974. Application of the energy dissipation model of turbulence to the calculation of flow near a spinning disc. Lett. Heat Mass Transfer, 1, 131-138
16. Launder, B. E. 1986. Low-Reynolds-number turbulence near walls. Rept. TFD/86/4, Mechanical Engineering Department UMIST, Manchester, UK
17. Le, H., Moin, P. and Kim, J. 1993. Direct numerical simulation of turbulent flow over a backward-facing step. Rept. TF-58, Thermosciences Division, Mechanical Engineering Department, Stanford University
18. Lee, M. J. and Kim, J. 1991. The structure of turbulence in a simulated plane Couette flow. Proc. 8th Turbulent Shear Flows, (Paper 5-3), Technical University of Munich, Munich, Germany
19. Mansour, N. N. and Shih, T. H. 1989. Advancement in turbulence modeling. In Forum on Turbulent Flows - 1898, W. W. Bower and M. J. Morris, (eds.), FED-76, 129-141.
20. Mansour, N. N., Kim, J. and Moin, P. 1988. Reynolds-stress and dissipation-rate budgets in a turbulent channel flow. J. Fluid Mech., 194, 15-44.
21. Michelassi, V., Rodi, W. and Scheuerer, G. 1991. Testing a low Reynolds number k-ε turbulence model based on direct simulation data. Proc. 8th Turbulent Shear Flows, (Paper 26-5), Technical University of Munich, Munich, Germany
22. Moser, R. D. and Moin, P. 1987. The effects of curvature in wall-bounded turbulent flows. J. Fluid Mech., 175, 479-510
23. Myong, H. K. and Kasagi, N. 1990. A new approach to the improvement of the k-ε turbulence model for wall bounded shear flows. JSME Int. J., 33, 63-72
24. Nagano, Y. and Hishida, M. 1987. Improved form of the k-ε model for wall turbulent shear flows. J. Fluids Eng., 109, 156-160
25. Nagano, Y. and Tagawa, M. 1990. An improved k-ε model for boundary layer flows. J. Fluids Eng., 112, 33-39
26. Nishino, K. and Kasagi, N. 1989. Turbulence statistics measurement in a two-dimensional channel flow using a three-dimensional particle tracking velocimeter. Proc. 7th Symposium on Turbulent Shear Flows, (Paper 22-1), Stanford University, Stanford, CA.
27. Nisizima, S. and Yoshizawa, A. 1987. Turbulent channel and Couette flows using an anisotropic k-ε model. AIAA J., 25, 414-420
28. Patel, V. C., Rodi, W. and Scheuerer, G. 1985. Turbulence models for near-wall and low-Reynolds-number flows: A review. AIAA J., 23, 1308-1319
29. Rodi, W. and Mansour, N. N. 1993. Low Reynolds number k-ε modeling with the aid of direct simulation data. J. Fluid Mech., 250, 509-524
30. Sarkar, A. 1995. An improved near-wall k-ε model for the calculation of wall-bounded turbulent flows. Master's thesis, Mechanical and Aerospace Engineering, Arizona State University, Tempe, AZ
31. Schneider, W. 1989. On Reynolds stress transport in turbulent Couette flow. Z. Flugwiss. Weltraumforsch., 13, 315-319
32. So, R. M. C., Lai, Y. G., Hwang, B. C. and Yoo, G. J. 1988. Low-Reynolds-number modeling of flows over a backward-facing step. ZAMP, 39, 13-27
33. So, R. M. C., Lai, Y. G., Zhang, H. S. and Hwang, B. C. 1991a. Second-order near-wall turbulence closures: A review. AIAA J., 29, 1819-1835
34. So, R. M. C., Zhang, H. S. and Speziale, C. G. 1991b. Near-wall modeling of the dissipation-rate equation. AIAA J., 29, 2069-2076
35. So, R. M. C., Aksoy, H., Yuan, S. P. and Sommer, T. P. 1994. Development of a near-wall Reynolds-stress closure based on the SSG model for the pressure strain. NASA Contractor Rept. 4618
36. θ= 1410. J. Fluid Mech., 187, 61-98
37. Speziale, C. G., Abid, R. and Anderson, E. C. 1990. A Critical evaluation of two-equation models for near wall turbulence. AIAA Paper 90-1481
38. Wilcox, D. C. 1994. Simulations of transition with a two-equation turbulence model. AIAA J., 32, 247-255
39. Yang, Z. and Shih, T. H. 1993. New time scale based k-ε model for near-wall turbulence. AIAA J., 31, 1191-1198
40. Zhang, H. S., So, R. M. C., Speziale, C. G. and Lai, Y. G. 1993. A near-wall two-equation model for compressible turbulent flows. AIAA J., 31, 196-199