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Phys. Rev. E 74, 037302 (2006) [4 pages]Multiplicity of steady states in cylindrical Rayleigh-Bénard convection
Received 13 June 2006; published 22 September 2006
Three-dimensional steady Rayleigh-Bénard convection in a vertical cylinder is investigated by numerical simulation and bifurcation analysis. The complex pattern formation beyond the onset of the convection is presented by a bifurcation diagram. The coexistence of multiple stable states is observed near the threshold of the first bifurcation and two group symmetries are summarized for the corresponding primary branches. The first stable target pattern originates through a subcritical bifurcation. A multiplicity of flow states for the Rayleigh number of 14 200 is validated numerically in comparison with the experiment, and a four-spoke pattern is observed. ©2006 The American Physical Society
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