Transition to turbulent thermal convection beyond [Formula Presented] detected in numerical simulations

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 61, Issue 5, 2000, Pages 5241-5246

  Vincent, Alain P ^a,b   Yuen, David A ^c  

^a UNIVERSITÉ DE MONTRÉAL   (Canada)

^b Bureau 400   (Canada)

^c UNIVERSITY OF MINNESOTA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; BOUNDARY LAYERS; PRANDTL NUMBER; REYNOLDS NUMBER;

BOUSSINESQ CONVECTION; FREE-SLIP BOUNDARY CONDITIONS; GLOBAL PROPERTIES; SCALING RELATIONSHIPS; SECONDARY INSTABILITY; SMALL-SCALE CONVECTION; TURBULENT THERMAL CONVECTION; VERTICALLY ALIGNED;

NATURAL CONVECTION;

EID: 0001725338     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.5241     Document Type: Article

References (40)

1. L. Prandtl, Beitr. Phys. Atmos. 19, 188 (1932).
2. C. H. B. Priestley, Aust. J. Phys. 7, 176 (1954).
3. R. H. Kraichnan, Phys. Fluids 5, 1374 (1962).
4. W. V. R. Malkus, Proc. R. Soc. London Ser. A 225, 185 (1954).
5. B. Castaing, G. Gunaratne, F. Heslot, L. Kadanoff, A. Libchaber, S. Thomae, X. Zh. Wu, S. Zaleski, and G. Zanetti, J. Fluid Mech. 204, 1 (1989).
6. X. Chavanne, F. Chillà, B. Castaing, B. Hébral, B. Chabaud, and J. Chaussy, Phys. Rev. Lett. 79, 3648 (1997).
7. S. Cioni, S. Ciliberto, and J. Sommeria, J. Fluid Mech. 335, 111 (1997).
8. N. Cantin, A. P. Vincent, and D. A. Yuen, Geophys. J. Int. 140, 1 (2000)
9. Geophys. J. Int.N. CantinA. P. VincentD. A. Yuen140, 163 (2000).
10. U. Frisch, Turbulence: The Legacy of A. N. Kolmogorov (Cambridge University Press, Cambridge, 1995).
11. E. M. Parmentier and C. Sotin, Phys. Fluids 12, 609 (2000).
12. E. Moses, G. Zocchi, and A. Libchaber, J. Fluid Mech. 251, 581 (1993).
13. A. P. Vincent and D. A. Yuen, Phys. Rev. A 38, 1 (1988)
14. Phys. Rev. AA. P. VincentD. A. Yuen38, 328 (1988).
15. A. Robert, J. Atmos. Sci. 50, 1865 (1993).
16. R. Krishnamurti and L. N. Howard, Proc. Natl. Acad. Sci. USA 78, 1981 (1981).
17. A. Belmonte, A. Tilgner, and A. Libchaber, Phys. Rev. E 50, 269 (1994).
18. E. D. Siggia, Annu. Rev. Fluid Mech. 26, 137 (1994).
19. S. Ciliberto, S. Cioni, and C. Laroche, Phys. Rev. E 54, R5901 (1996).
20. T. H. Solomon and J. P. Gollub, Phys. Rev. Lett. 64, 2382 (1990).
21. S. Balachandar, M. R. Maxey, and L. Sirovich, J. Sci. Comput. 4, 219 (1989).
22. R. M. Kerr, J. Fluid Mech. 310, 139 (1996).
23. X. Z. Wu and A. Libchaber, Phys. Rev. A 45, 842 (1992).
24. A. P. Vincent and D. A. Yuen, Phys. Rev. E 60, 3 (1999)
25. Phys. Rev. EA. P. VincentD. A. Yuen60, 2957 (1999).
26. P. Bergé, Y. Pommeau, and C. Vidal, L’ordre dans le Chaos (Hermann, Paris, 1984).
27. A. Libchaber, S. Fauve, and C. Laroche, Physica D 7, 73 (1983).
28. F. Heslot, B. Castaing, and A. Libchaber, Phys. Rev. A 36, 5870 (1987).
29. A. P. Vincent, U. Hansen, D. A. Yuen, A. V. Malevsky, and S. E. Langenberger, Phys. Fluids A 3, 2222 (1991).
30. J. Werne, Phys. Rev. E 49, 5 (1994)
31. Phys. Rev. EJ. Werne49, 4072 (1994).
32. M. Rieutord and J.-P. Zahn, Astron. Astrophys. 296, 127 (1995).
33. A. V. Malevsky, D. A. Yuen, and L. M. Weyer, Geophys. Res. Lett. 19, 27 (1992).
34. T. Cortese and S. Balachandar, Phys. Fluids 5, 3226 (1993).
35. R. J. Goldstein and T. Y. Chu, Prog. Heat Mass Transfer 2, 55 (1971).
36. R. J. Goldstein and S. Tokuda, Int. J. Heat Mass Transf. 23, 738 (1980).
37. R. R. Long, J. Fluid Mech. 73, 445 (1976).
38. M. Lesieur, Turbulence in Fluids, 3rd ed. (Kluwer Academic Publisher, Dordrecht, 1997).
39. J. H. Ferziger, in Numerical methods in Fluid Mechanics, edited by A. Vincent, Vol. 16 of CRM Proceedings Lecture Notes (American Mathematical Society, Providence, RI, 1998).
40. M. H. Carr, M. H. Belton, and C. R. Chapman, Nature (London) 391, 363 (1998).