An eddy viscosity model with near-wall modifications

International Journal for Numerical Methods in Fluids

Volumn 49, Issue 9, 2005, Pages 975-997

  Rahman, Mizanur M ^a   Siikonen, Timo ^a  

^a AALTO UNIVERSITY   (Finland)

Author keywords

Flow separation and reattachment; Near wall correction; Realizability; Turbulence anisotropy

Indexed keywords

COMPUTER SIMULATION; KINETIC ENERGY; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; REYNOLDS NUMBER; SHEAR STRESS; TURBULENT FLOW; VISCOSITY; WALL FLOW;

EDDY VISCOSITY MODEL; FLOW REATTACHMENT; FLOW SEPARATION; MODEL REALIZABILITY; NEAR-WALL CORRECTION; TURBULENCE ANISOTROPY;

COMPUTATIONAL FLUID DYNAMICS;

FLOW SEPARATION; NEAR-WALL FLOW; VISCOSITY;

EID: 28144452509     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.1034     Document Type: Article

References (37)

1. Jones WP, Launder BE. The calculation of low-Reynolds number phenomena with a two-equation model of turbulence. International Journal of Heat and Mass Transfer 1973; 16:1119-1130.
2. Chien K-Y. Predictions of channel and boundary layer flows with a low-Reynolds number turbulence model. AIAA Journal 1982; 20:33-38.
3. Patel VC, Rodi W, Scheuerer G. Turbulence models for near-wall and low Reynolds number flow: a review. AIAA Journal 1985; 23:1308-1319.
4. Mansour NN, Kim J, Moin P. Near-wall κ-ε turbulence modeling. AIAA Journal 1989; 27:1068-1073.
5. Nagano T, Tagawa M. An improved κ-ε model for boundary layer flows. Journal of Fluids Engineering 1990; 112:33-39.
6. Durbin PA. Near-wall turbulence closure modeling without damping functions. Theoretical and Computational Fluid Dynamics 1991; 3:1-13.
7. Yang Z, Shih TH. New time scale based κ-ε model for near-wall turbulence. AIAA Journal 1991; 29: 1337-1340.
8. Nagano Y, Kondoh M, Shimada. M. Multiple time scale turbulence model for wall and homogeneous flows based on direct numerical simulations. International Journal of Heat and Fluid Flow 1997; 18:346-359.
9. So RMC, Sarkar A, Gerodimos G, Zhang J. A dissipation date equation for low-Reynolds number and near-wall turbulence. Theoretical and Computational Fluid Dynamics 1997; 9:47-63.
10. Goldberg U, Apsley D. A wall-distance-free low RE κ-ε turbulence model. Computer Methods in Applied Mechanics and Engineering 1997; 145:227-238.
11. Hwang CB, Lin CA. Improved low-Reynolds number κ-ε̃ model based on direct numerical simulation data. AIAA Journal 1998; 36:38-43.
12. Rahman MM, Siikonen T. Improved low-Reynolds-number κ-ε̃ model. AIAA Journal 2000; 38:1298-1300.
13. Rahman MM, Siikonen T. Low-Reynolds-number κ-ε̃ model with enhanced near-wall dissipation. AIAA Journal 2002; 40:1442-1464.
14. Rahman MM, Siikonen T. Near-wall turbulence modelling with enhanced dissipation. International Journal for Numerical Methods in Fluids 2003; 42:979-997.
15. Rahman MM, Siikonen T. A two-equation model with relevance to near-wall turbulence. Far East Journal of Applied Mathematics 2004; 17:1-26.
16. Rahman MM, Siikonen T. Low-Reynolds number κ-ε model for near-wall flow. International Journal for Numerical Methods in Fluids 2005; 47:325-338.
17. Lumley JL. Computational modeling of turbulent flows. Advances in Applied Mechanics 1978; 18:124-176.
18. Pope SB. A more general effective viscosity hypothesis. Journal of Fluid Mechanics 1975; 72:331-340.
19. Gatski TB, Speziale CG. On the explicit algebraic stress models for complex turbulent flows. Journal of Fluid Mechanics 1993; 254:59-78.
20. Shih T-H, Zhu J, Lumley JL. A new Reynolds stress algebraic equation model. Computer Methods in Applied Mechanics and Engineering 1995; 125:287-302.
21. Girimaji SS. Fully explicit and self-consistent algebraic Reynolds stress model. Theoretical and Computational Fluid Dynamics 1996; 8:387-402.
22. Kim J. Personal communication, 1990.
23. Tavoularis S, Corrsin A. Experiments in nearly homogeneous turbulent shear flow with a uniform mean temperature gradient. Journal of Fluid Mechanics, Part I 1981; 104:311-347.
24. Kim J, Moin P, Moser R. Turbulence statistics in fully developed channel flow at low Reynolds number. Journal of Fluid Mechanics 1987; 177:133-166.
25. Lee MJ, Kim J, Moin P. Structure of turbulence at high shear rate. Journal of Fluid Mechanics 1990; 216: 561-583.
26. Rogers MM, Moin P. The structure of the vorticity field in homogeneous turbulent flows. Journal of Fluid Mechanics 1987; 176:33-66.
27. Rung T, Thiele F, Fu S. On the realizability on nonlinear stress-strain relationships for Reynolds stress closures. Flow, Turbulence and Combustion 1999; 60:333-359.
28. Mansour NN, Kim J, Moin P. Reynolds-stress and dissipation-rate budgets in a turbulent channel flow. Journal of Fluid Mechanics 1988; 194:15-44.
29. Rahman MM, Rautaheimo P, Siikonen T. Numerical study of turbulent heat transfer from a confined impinging jet using a pseudo-compressibility method. In Second International Symposium on Turbulence, Heat and Mass Transfer, Delft, The Netherlands, Hanjalic KK, Peeters TWJ (eds). Delft University Press: Delft, 1997; 511-520.
30. Rahman MM, Siikonen T. An artificial compressibility method for incompressible flows. Numerical Heat Transfer, Part B 2001; 40:391-409.
31. Roe PL. Approximate Riemann solvers, parameter vectors, and difference schemes. Journal of Computational Physics 1981; 43:357-372.
32. Lombard C, Bardina J, Venkatapathy E, Oliger J. Multi-dimensional formulation of CSCM - an upwind flux difference eigenvector split method for the compressible Navier-Stokes equations. Sixth AIAA Computational Fluid Dynamics Conference, AIAA Paper 83-1895-CP, 1983; 649-664.
33. Jameson A, Yoon S. Multigrid solution of the Euler equations using implicit schemes. AIAA Journal 1986; 24:1737-1743.
34. Buice C, Eaton JK. Experimental investigation of flow through an asymmetric plane diffuser. Report TSD-107, Department of Mechanical Engineering, Thermoscience Division, Stanford University, California, CA, 1997.
35. Monson DJ, Seegmiller HL, McConnaughey PK, Chen YS. Comparison of experiment with calculations using curvature-corrected zero and two-equation turbulence models for a two-dimensional U-duct. AIAA Paper 90-1484, 1990.
36. Monson DJ, Seegmiller HL. An experimental investigation of subsonic flow in a two-dimensional U-duct. NASA TM 103931, 1992.
37. Luo J, Lakshminarayana B. Prediction of strongly curved turbulent duct flows with Reynolds stress model. AIAA Journal 1997; 35:91-98.