Large-Scale Flow and Spiral Core Instability in Rayleigh-Benard Convection

Details Large-Scale Flow and Spiral Core Instability in Rayleigh-Benard Convection Large-Scale Flow and Spiral Core Instability in Rayleigh-Benard Convection

1996-08-13

arxiv.org/abs/patt-sol/9608003v1

Nonlinear Sciences

Pattern Formation and Solitons

ReVTeX, 10 pages, 6 EPS Figures, submitted to Phys. Rev. Lett

Scientific paper

The spiral core instability, observed in large aspect ratio Rayleigh-Benard convection, is studied numerically in the framework of the Swift-Hohenberg equation coupled to a large-scale flow. It is shown that the instability leads to non-trivial core dynamics and is driven by the self-generated vorticity. Moreover, the recently reported transition from spirals to hexagons near the core is shown to occur only in the presence of a non-variational nonlinearity, and is triggered by the spiral core instability. Qualitative agreement between the simulations and the experiments is demonstrated.

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