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Published May 30, 1988 | public
Journal Article Open

Mean flows and the onset of chaos in large-cell convection

Abstract

Numerical simulations of two-dimensional model equations show that a coupling between amplitude and vertical-vorticity fields allows chaotic flows near the onset of Rayleigh-Bénard convection in large-aspect-ratio domains. In cylindrical cells, mean flows arising from this coupling lead to a chaotic nucleation of dislocations that is remarkably similar to recent observations in convection experiments.

Additional Information

©1988 The American Physical Society. Received 24 December 1987. We would like to thank Guenter Ahlers, Bill Baxter, Robert Behringer, Petter Bjorstad, Jerry Gollub, Michael Heutmaker, and Pierre Hohenberg for useful discussions. This work was supported by a United States Department of Energy Grant No. DE-AC02-76-CHO-3073, by an Office of Naval Research Grant No. N00014-85-K-0487, by a National Science Foundation Grant No. DMR-8412543, and by computer time made available at the San Diego Supercomputer Center.

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August 22, 2023
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