Near-wall Reynolds-stress modelling in noninertial frames of reference

Fluid Dynamics Research

Volumn 19, Issue 5, 1997, Pages 251-276

  Pettersson, B A ^a   Andersson, H I ^a  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; COMPUTER SIMULATION; REYNOLDS NUMBER; ROTATIONAL FLOW; STRESSES; TURBULENCE;

COUETTE FLOW; DISSIPATION RATE MODEL EQUATION; MATERIAL FRAME INDIFFERENCE (MFI); MEAN FLOW ENERGY; NONLINEAR VARIABLE COEFFICIENT PRESSURE STRAIN MODEL; POISEUILLE FLOW; ROTATIONAL INDUCED SECONDARY MOTIONS;

TURBULENT FLOW;

FLOW FIELDS; FLUID FLOW; MODELLING-MATHEMATICAL; TURBULENT FLOW;

EID: 0031148717     PISSN: 01695983     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0169-5983(96)00039-1     Document Type: Article

References (57)

1. Andersson, H.I. and B.A. Pettersson (1994) Modeling plane turbulent Couette flow, Int. J. Heat Fluid Flow 15, 447-455.
2. Andersson, H.I. and R. Kristoffersen (1995) Turbulence statistics of rotating channel flow, in: Turbulent Shear Flows, Vol. 9 (Springer, Berlin) 53-70.
3. Antonia, R.A., M. Teitel, J. Kim and L.W.B. Browne (1992) Low-Reynolds-number effects in a fully developed turbulent channel flow, J. Fluid Mech. 236, 579-605.
4. Bardina, J., J.H. Ferziger and R.S. Rogallo (1985) Effect of rotation on isotropic turbulence: computation and modeling, J. Fluid Mech. 154, 321-336.
5. Bech, K.H. and H.I. Andersson (1995) Secondary flow in weakly rotating turbulent plane Couette flow, Proc. 10th Symp. Turbulent Shear Flows, University Park, 8.1-8.6. Also in: (1996) J. Fluid Mech. 317, pp. 195-214.
6. Bech, K.H. and H.I. Andersson (1995) Secondary flow in weakly rotating turbulent plane Couette flow, Proc. 10th Symp. Turbulent Shear Flows, University Park, 8.1-8.6. Also in: (1996) J. Fluid Mech. 317, pp. 195-214.
7. Bech, K.H. and H.I. Andersson (1996) Growth and decay of longitudinal roll cells in rotating turbulent plane Couette flow, in: Advances in Turbulence, Vol. VI (Kluwer, Dordrecht) pp. 91-94.
8. Bech, K.H., N. Tillmark, P.H. Alfredsson and H.I. Andersson (1995) An investigation of turbulent plane Couette flow at low Reynolds numbers, J. Fluid Mech. 286, 291-325.
9. Belcher, S.E. and P.A. Durbin (1992) A second-order closure study of rotating channel flow without the use of "damping functions", CTR manuscript 134.
10. Comte-Bellot, G. (1965) Ecoulement turbulent entre deux parois paralleles, Publications Scientifiques et Techniques du Ministere de l'Air no. 419.
11. Craft, T.J. and B.E. Launder (1991) Computation of impinging flows using second moment closures, Proc. 8th Symp. Turbulent Shear Flows, Munich, pp. 8.5.1-8.5.6.
12. Durbin, P.A. (1991) Near-wall turbulence closure modeling without "damping functions", Theoret. Comput. Fluid Dyn. 3, 1-13.
13. Durbin, P.A. (1993) A Reynolds stress model for near-wall turbulence, J. Fluid Mech. 249, 465-498.
14. Durbin, P.A. and D. Laurence (1996) Nonlocal effects in single point closure, Proc. 3rd TRA Conf., Seoul.
15. El Telbany, M.M.M. and A.J. Reynolds (1981) Turbulence in plane cannel flow, J. Fluid Mech. 111, 283-318.
16. El Telbany, M.M.M and A.J. Reynolds (1982) The structure of turbulent plane Couette flow, ASME J. Fluids Eng. 104, 367-372.
17. Fu, S. and C. Wang (1995) Second-moment closure modelling of turbulence in non-inertial frame, Proc. Int. Symp. Math. Mod. Turbulent Flows, Tokyo, pp. 95-110.
18. Haworth, D.C. and S.B. Pope (1986) A generalized Langevin model for turbulent flows, Phys. Fluids 29, 387-405.
19. Johnston, J.P., R.M. Halleen and D.K. Lezius (1972) Effects of spanwise rotation on structure of two-dimensional fully developed turbulent channel flow, J. Fluid Mech. 56, 533-557.
20. Kim, J. (1983) The effect of rotation on turbulence structure, Proc. 4th Symp. Turbulent Shear Flows, Karlsruhe, pp. 6.14-6.19.
21. Kim, J., P. Moin and R. Moser (1987) Turbulence statistics in fully developed channel flow at low Reynolds number, J. Fluid Mech. 177, 133-166.
22. Ko, S.H. and P.A. Durbin (1993) Application of a near-wall turbulence model to adverse pressure gradient and separated boundary layers, in: Near-Wall Turbulent Flows (Elsevier, Amsterdam) pp. 145-152.
23. Ko, S.H. and P.A. Durbin (1994) Separated turbulent flows computed with a near-wall Reynolds-stress model, ASME-FED Summer Meeting, FED - Vol. 196, pp. 83-91.
24. Kristoffersen, R. and H.I. Andersson (1993) Direct simulations of low-Reynolds-number turbulent flow in a rotating channel, J. Fluid Mech. 256, 163-197.
25. Kristoffersen, R., P.J. Nilsen and H.I. Andersson (1990) Validation of Reynolds stress closures for rotating channel flows by means of direct numerical simulations. in: Engng Turbulence Modelling and Experiments (Elsevier, Amsterdam) pp. 55-64.
26. Launder, B.E., G. Reece and W. Rodi (1975) Progress in the development of a Reynolds-stress turbulence closure, J. Fluid Mech. 68, 537-566.
27. Launder, B.E. and D.B. Spalding (1974) The numerical computation of turbulent flows, Comp. Meth. Appl. Mech. Eng. 3, 269-289.
28. Launder, B.E. and D.P. Tselepidakis (1994) Application of a new second-moment closure to turbulent channel flow rotatig in orthogonal mode, Int. J. Heat Fluid Flow 15, 2-10.
29. Launder, B.E., D.P. Tselepidakis and B.A. Younis (1987) A second-moment closure study of rotating channel flow, J. Fluid Mech. 183, 63-75.
30. Laurence, D., P.A. Durbin and A.D. Demuren (1995) Modeling near-wall effects in second-moment closures by elliptic relaxation, Proc. 10th Symp. Turbulent Shear Flows, University Park, pp. 20.1-20.6.
31. Masuda, S., H.S. Koyama and I. Ariga (1983) High Reynolds number turbulence model of rotating shear flows, Bull. JSME 26, 1534-1541.
32. Moin, P. and J. Kim (1982) Numerical investigation of turbulent channel flow, J. Fluid Mech. 118, 341-377.
33. Nakabayashi, K., O. Kitoh and Y. Konishi (1994) Turbulent characteristics of fully developed two-dimensional channel flow with system rotation, Trans. JSME B, 60, 849-856.
34. Nakabayashi, K. and O. Kitoh (1996) Low Reynolds number fully developed two-dimensional turbulent channel flow with system rotation, J. Fluid Mech. 315, 1-29.
35. Nilsen, P.J. and H.I. Andersson (1993) Modelling the effects of solid-body rotation on turbulent mixing-layers, in: Engng Turbulence Modelling and Experiments, Vol. 2 (Elsevier, Amsterdam) pp. 83-92.
36. Oberlack, M. (1995) Closure of the dissipation tensor and the pressure-strain tensor based on the two-point correlation equation, in: Turbulent Shear Flows, Vol. 9 (Springer, Berlin) pp. 33-52.
37. Obi, S., M. Peric and G. Scheuerer (1989) Computation of plane Couette flow by a Reynolds-stress closure model, Technical note, LSTM Erlangen, Erlangen, Germany.
38. Pettersson, B.A., H.I. Andersson and Ø. Hjelm-Larsen (1996a) Analysis of near-wall second-moment closures applied to flows affected by streamline curvature, in: Engng Turbulence Modelling and Experiments, Vol. 3 (Elsevier, Amsterdam) pp. 49-58.
39. Pettersson, B.A., H.I. Andersson and S. Øyulvstad (1996b) Modelling system rotation with an anisotropic eddy-viscosity closure, Proc. 3rd ECCOMAS Comp. Fluid Dynamics Conf., Paris, France (Wiley, Chichester) pp. 683-689.
40. Piomelli, U. and J. Liu (1995) Large-eddy simulation of rotating channel flows using a localized dynamic model, Phys. Fluids 7, 839-848.
41. Ristorcelli, J.R. and J.L. Lumley (1991) Synopsis of a rapid pressure-strain model materially frame indifferent in the 2D limit, Sibley School of Mechanical and Aerospace Engineering, Report FDA-91-15, Cornell University, Ithaca, NY.
42. Ristorcelli, J.R. and J.L. Lumley (1993) The dependence of the dissipation on rotation, Phys. Fluids A 5, 2304-2305.
43. Ristorcelli, J.R., J.L. Lumley and R. Abid (1995) A rapid-pressure covariance representation consistent with the Taylor-Proudman theorem materially frame indifferent in the two-dimensional limit, J. Fluid Mech. 292, 111-152.
44. Robertson, J.M. and H.F. Johnson (1970) Turbulence structure in plane Couette flow, ASCE J. Eng. Mech. Div. 96, 1171-1182.
45. Schneider, W. (1989) On Reynolds stress transport in turbulent Couette flow, Z. Flugwiss. Weltraumforsch. 13, 315-319.
46. Shih, T.-H. and J.L. Lumley (1993) Kolmogorov behavior of near-wall turbulence and its application in turbulence modeling, Comp. Fluid Dyn. 1, 43-56.
47. Shima, N. (1993) Prediction of turbulent boundary layers with a second-moment closure. Part II: effects of streamline curvature and spanwise rotation, ASME J. Fluids Eng. 115, 64-69.
48. Shimomura, Y. (1989) A statistically derived two-equation model of turbulent shear flow in a rotating system, J. Phys. Soc. Japan 58, 352-355.
49. Smith, G.P. and A.A. Townsend (1982) Turbulent Couette flow between concentric cylinders at large Taylor numbers, J. Fluid Mech. 123, 187-217.
50. So, R.M.C., Y.G. Lai, H.S. Zhang and B.C. Hwang (1991) Second-order near-wall turbulence closures: a review, AIAA J. 29, 1819-1835.
51. Speziale, C.G. (1989) Turbulence modeling in noninertial frames of reference, Theoret. Comput. Fluid Dyn. 1, 3-19.
52. Speziale, C.G., S. Sarkar and T.B. Gatski (1991) Modeling the pressure-strain correlation of turbulence: an invariant dynamical system approach, J. Fluid Mech. 227, 245-272.
53. Sund, H. (1993) Validation of a second-moment closure to low Reynolds number plane Couette flow, in: Numerical Methods in Laminar and Turbulent Flow, Vol. 8, Part 1 (Pineridge Press, Swansea) pp. 241-248.
54. Tagawa, M., Y. Nagano and T. Tsuij (1991) Turbulence model for the dissipation components of Reynolds stresses, Proc. 8th Symp. Turbulent Shear Flows, Munich, pp. 29.3.1-29.3.6.
55. Tillmark, N. and P.H. Alfredsson (1996) Experiments on rotating plane Couette flow, in: Advances in Turbulence, Vol. VI (Kluwer, Dordrecht) pp. 391-394.
56. Wizman, V., D. Laurence, M. Kanniche, P.A. Durbin and A. Demuren (1996) Modeling near-wall effects in second moment closures by elliptic relaxation, Int. J. Heat Fluid Flow 17, 255-266.
57. Zhang, H.S., R.M.C. So and M.L. Zhu (1993) A near-wall second-order turbulence model for wall-bounded flows, Proc. 9th Symp. Turbulent Shear Flows, Kyoto, pp. 8.2.1-8.2.6.