Large-eddy simulation and deduced scaling analysis of Rayleigh-Bénard convection up to Ra = 109

Journal of Turbulence

Volumn 7, Issue , 2006, Pages 1-29

  Peng, S H ^a,c   Hanjalic, K ^b   Davidson, L ^c  

^a SWEDISH DEFENCE RESEARCH AGENCY   (Sweden)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^c CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; HEAT CONVECTION; HEAT TRANSFER; PRANDTL NUMBER; TURBULENT FLOW;

HEAT TRANSFER; LARGE EDDY SIMULATION; NUMERICAL METHOD; RAYLEIGH NUMBER; THERMAL CONVECTION; TURBULENCE;

EID: 33845874105     PISSN: None     EISSN: 14685248     Source Type: Journal    
DOI: 10.1080/14685240600953462     Document Type: Article

References (28)

1. Castaing, B., Gunaratne, G., Heslot, F., Kadanoff, L., Libchaber, A., Thomae, S., Wu, X., Zaleski, Z. and Zanetti. G., 1989, Scaling of hard thermal turbulence in Reyleigh-Bérnard convection. Journal of Fluid Mechanics, 204, 1-30.
2. Siggia, E.D., 1994, High Rayleigh number convection. Annual Review of Fluid Mechanics, 26, 137-168.
3. Bodenschatz, E., Pesch, W. and Ahlers, G., 2000, Recent development in Rayleigh-Bénard convection. Annual Review of Fluid Mechanics, 32, 709-778.
4. Deardorff, J.W. and Willis, G.E., 1967, Investigation of turbulent thermal convection between horizontal plates. Journal of Fluid Mechanics, 28, 453-480.
5. Sano, M., Wu, X.Z. and Libchaber, A., 1989, Turbulence in helium-gas free convection. Physical Review A, 40, 6421-6430.
6. Wu, X.Z. and Libchaber, A., 1992, Scaling relation in thermal turbulence: the aspect-ratio dependence. Physical Review A, 45, 842-445.
7. Chu, T.Y. and Goldstein, R.J., 1973, Turbulent convection in a horizontal layer of water. Journal of Fluid Mechanics, 60, 141-160.
8. Kerr, M.R., 1996, Rayleigh number scaling in numerical convection. Journal of Fluid Mechanics, 310, 139-179.
9. Kerr, M.R. and Herring, J.R., 2000, Prandtl number dependence of Nusselt number in direct numerical simulations. Journal of Fluid Mechanics, 419, 325-344.
10. Eidson, T.M., 1985, Numerical simulation of the turbulent Rayleigh-Bénard problem using subgrid modelling. Journal of Fluid Mechanics, 158, 245-268.
11. Kimmel, S.J. and Domaradzki, J.A., 2000, Large eddy simulations of Rayleigh-Benárd convection using subgrid scale estimation model. Physics of Fluids, 12, 169-184
12. Kenjereš, S. and Hanjalić, K., 1999, Transient analysis of Rayleigh-Bénard convection with a RANS model. International Journal of Heat and Fluid Flow, 20, 329-340.
13. Kenjereš, S. and Hanjalić, K., 2002, Numerical insight into flow structure in ultra-turbulent thermal convection. Physical Review E, 66, 1-5.
14. Germano, M., Piomelli, U., Moin, P. and Cabot, W.H., 1991, A dynamic subgrid-scale eddy viscosity model. Physics of Fluids A, 3, 1760-1765.
15. Lilly, D.K., 1992, A proposed modification of the Germano subgrid-scale closure method. Physics of Fluids A, 4, 633-635.
16. Peng, S.-H. and Davidson, L., 1998, Comparison of subgrid-scale models in LES for turbulent convection flow with heat transfer. In Turbulent Heat Transfer 2, p. 5.24-5.35 (UK: Manchester).
17. Hartlep, T., Tilgner, A. and Busse, F.H., 2003, Large scale structures in Rayleigh-Bénard convection at high Rayleigh numbers. Physical Review Letters, 91, 064501-1-4.
18. Hartlep, T., Tilgner, A. and Busse, F.H., 2005, Transition to turbulent convection in a fluid layer heated from below at moderate aspect ratio. Journal of Fluid Mechanics, 554, 309-322.
19. Peng, S.-H., Davidson, L. and Hanjalic, K., 2005, Numerical analysis of Rayleigh-Bénard convection using large eddy simulation at high Rayleigh numbers. In Proceedings of 4th International Symposium on Turbulence and Shear Flow Phenomena, vol. 3, pp. 983-988.
20. Grötzbach, G., 1982, Direct numerical simulation of laminar and turbulent Bénard convection. Journal of Fluid Mechanics, 119, 27-53.
21. Grötzbach, G., 1983, Spatial resolution requirement for direct numerical simulation of Rayleigh-Bénard convection. Journal of Computational Physics, 49, 241-264.
22. Sagaut. P., 1998, Large eddy simulation for incompressible flows. Springer, Berlin Heidelberg.
23. Shraiman B.I., and Siggia, E.D., 1990, Heat transport in high-Rayleigh-number convection. Physical Review A, 42, 3650-3653.
24. Kenjereš, S. and Hanjalić, K., 2005, LES, T-RANS and hybrid simulations of thermal convection at high Ra numbers. In Engineering Turbulence Modelling and Experiments VI (Amsterdam: Elsevier), pp. 369-378.
25. Werne, J., DeLuca, E.E., Rosner, R. and Cattaneo. F., 1991, Development of hard-turbulent convection in two-dimensions: numerical evidence. Physical Review Letters, 67, 3519-3522.
26. Wörner, M., 1994, Direkte simulation turbulenter Rayleigh-Bénard konvektion in fluessigem natrium. Dissertation, University of Karlsruhe, KfK 5228, Kernforschungszentrum Karlsruhe.
27. Lilly, D.K., 1967, The representation of small-scale turbulence in numerical simulation experiments. In Proceedings on IBM Scientific Computation on Environmental Science (NY: Yorktown Hights).
28. Moeng, C.-H., and Rotunno, R., 1990, Vertical-velocity skewness in the buoyancy-driven boundary layer. Journal of Atmospheric Sciences, 47, 1149-1162.