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Traveling waves in rotating Rayleigh-Bénard convection: Analysis of modes and mean flow

Scheel, J. D. and Paul, M. R. and Cross, M. C. and Fischer, P. F. (2003) Traveling waves in rotating Rayleigh-Bénard convection: Analysis of modes and mean flow. Physical Review E, 68 (6). Art. No. 066216. ISSN 1063-651X. doi:10.1103/PhysRevE.68.066216.

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Numerical simulations of the Boussinesq equations with rotation for realistic no-slip boundary conditions and a finite annular domain are presented. These simulations reproduce traveling waves observed experimentally. Traveling waves are studied near threshhold by using the complex Ginzburg-Landau equation (CGLE): a mode analysis enables the CGLE coefficients to be determined. The CGLE coefficients are compared with previous experimental and theoretical results. Mean flows are also computed and found to be more significant as the Prandtl number decreases (from sigma=6.4 to sigma=1). In addition, the mean flow around the outer radius of the annulus appears to be correlated with the mean flow around the inner radius.

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Additional Information:©2003 The American Physical Society (Received 14 May 2003; published 31 December 2003) We wish to thank M. van Hecke, R. E. Ecke, and K.-H. Chiam for insightful comments. This work was supported by the Engineering Research Program of the Office of Basic Energy Sciences at the Department of Energy, Grants Nos. DE-FG03-98ER14891 and DE-FG02-98ER14892, and the Mathematical, Information and Computational Sciences Division subprogram of the Office of Advanced Scientific Computing Research, U.S. Department of Energy, under Contract No. W-31-109-Eng-38. We also acknowledge the North Carolina Supercomputing Center and the Caltech Center for Advanced Computing Research.
Subject Keywords:Bénard convection; Rayleigh-Bénard instability; Ginzburg-Landau theory; pattern formation; rotational flow
Issue or Number:6
Record Number:CaltechAUTHORS:SCHEpre03
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3012
Deposited By: Archive Administrator
Deposited On:11 May 2006
Last Modified:08 Nov 2021 19:52

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