Large-scale flow and spiral core instability in Rayleigh-Bénard convection

Igor Aranson, Michel Assenheimer, Victor Steinberg, Lev S. Tsimring

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


The spiral core instability, observed in large aspect-ratio Rayleigh-Bénard 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 nontrivial 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 nonvariational nonlinearity, and is linked to the spiral core instability. Qualitative agreement between the simulations and the experiments is demonstrated.

Original languageEnglish (US)
Pages (from-to)R4877-R4880
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number5
StatePublished - 1997

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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