Square patterns in rotating Rayleigh-Bénard convection

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 72, Issue 3, 2005, Pages

  Sanchez Alvarez J J ^a   Serre, E ^b   Crespo Del Arco, E ^a   Busse, F H ^c  

^a UNIVERSIDAD NACIONAL DE EDUCACIÓN A DISTANCIA   (Spain)

^b AIX MARSEILLE UNIVERSITY   (France)

^c UNIVERSITY OF BAYREUTH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOTIC PATTERN; OBERBECK-BOUSSINESQ APPROXIMATION; SPATIOTEMPORAL CHAOS;

APPROXIMATION THEORY; BOUNDARY CONDITIONS; CHAOS THEORY; HEAT CONVECTION; HEAT TRANSFER; NAVIER STOKES EQUATIONS;

RAYLEIGH SCATTERING;

EID: 28844454258     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.036307     Document Type: Article

References (29)

1. G. Küppers and D. Lortz, J. Fluid Mech. JFLSA7 0022-1120 35, 609 (1969).
2. K. M. S. Bajaj, G. Ahlers, and W. Pesch, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.056309 65, 056309 (2002).
3. K. E. Heikes and F. H. Busse, Ann. N.Y. Acad. Sci. ANYAA9 0077-8923 357, 28 (1980).
4. F. H. Busse and K. E. Heikes, Science SCIEAS 0036-8075 208, 173 (1980).
5. Y. Hu, W. Pesch, G. Ahlers, and R. E. Ecke, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.5821 58, 5821 (1998).
6. Y. Hu, R. E. Ecke, and G. Ahlers, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.5040 74, 5040 (1995).
7. F. Zhong, R. Ecke, and V. Steinberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.2473 67, 2473 (1991).
8. E. Bodenschatz, D. S. Cannell, J. R. de Bruyn, R. Ecke, Y.-C. Hu, K. Lerman, and G. Ahlers, Physica D PDNPDT 0167-2789 10.1016/0167-2789(92)90150-L 61, 77 (1992).
9. E. Serre, E. Crespo del Arco, and F. H. Busse, in Nonlinear Dynamics in Fluids edited by, F. Marqués, and, A. Meseguer, (CIMNE, Barcelona, 2003), Chap. 3, pp. 138-140.
10. M. Fantz, R. Friedrich, M. Bestehorn, and H. Haken, Physica D PDNPDT 0167-2789 10.1016/0167-2789(92)90157-I 61, 147 (1992).
11. Y. Tu and M. C. Cross, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.2515 69, 2515 (1992).
12. J. Millan-Rodriguez, M. Bestehorn, C. Pérez-García, R. Friedrich, and M. Neufeld, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.530 74, 530 (1995).
13. L. Ning and R. E. Ecke, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.47.3326 47, 3326 (1993).
14. Y. Liu and R. E. Ecke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.4391 78, 4391 (1997).
15. Y. Liu and R. E. Ecke, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.4091 59, 4091 (1999).
16. R. E. Ecke and Y. Liu, Int. J. Eng. Sci. IJESAN 0020-7225 10.1016/S0020-7225(98)00043-3 36, 1471 (1998).
17. H. F. Goldstein, E. Knobloch, I. Mercader, and M. Net, J. Fluid Mech. JFLSA7 0022-1120 248, 583 (1993).
18. J. Hermann and F. H. Busse, J. Fluid Mech. JFLSA7 0022-1120 255, 183 (1993).
19. E. Y. Kuo and M. C. Cross, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.47.R2245 47, R2245 (1993).
20. J. Scheel, M. Paul, M. Cross, and P. Fischer, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.066216 68, 066216 (2003).
21. R. M. Clever and F. H. Busse, J. Fluid Mech. JFLSA7 0022-1120 94, 609 (1979).
22. K. M. S. Bajaj, J. Liu, B. Naberhuis, and G. Ahlers, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.806 81, 806 (1998).
23. E. Bodenschatz, W. Pesch, and G. Ahlers, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fluid.32.1.709 32, 709 (2000).
24. R. Peyret, Spectral Methods for Incompressible Viscous Flow, Applied Mathematical Sciences Vol. 148 (Springer, New York, 2002).
25. I. Raspo, S. Hugues, E. Serre, A. Randriamampiana, and P. Bontoux, Comput. Fluids CPFLBI 0045-7930 10.1016/S0045-7930(01)00070-6 31, 745 (2002).
26. E. Serre and J. P. Pulicani, Comput. Fluids CPFLBI 0045-7930 10.1016/S0045-7930(00)00023-2 30, 491 (2001).
27. M. Net and I. Mercader (private communication).
28. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Dover, New York, 1961).
29. F. H. Busse, in Turbulence and Chaotic Phenomena in Fluids, edited by, T. Tatsumi, (Elsevier, 1984), pp. 197-202.