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Robust wall states in rapidly rotating Rayleigh–Bénard convection

Published online by Cambridge University Press:  11 May 2020

Benjamin Favier Open the ORCID record for Benjamin Favier [Opens in a new window]  and
Edgar Knobloch
Benjamin Favier*
Affiliation:
Aix-Marseille Univ, CNRS, Centrale Marseille, IRPHE, Marseille, France
Edgar Knobloch
Affiliation:
Department of Physics, University of California, Berkeley, CA94720, USA
*
†Email address for correspondence: favier@irphe.univ-mrs.fr
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Abstract

We show, using direct numerical simulations with experimentally realizable boundary conditions, that wall modes in Rayleigh–Bénard convection in a rapidly rotating cylinder persist even very far from their linear onset. These nonlinear wall states survive in the presence of turbulence in the bulk and are robust with respect to changes in the shape of the boundary of the container. In this sense, these states behave much like the topologically protected states present in two-dimensional chiral systems even though rotating convection is a three-dimensional nonlinear driven dissipative system. We suggest that the robustness of this nonlinear state may provide an explanation for the strong zonal flows observed recently in experiments and simulations of rapidly rotating convection at high Rayleigh number.

JFM classification

Convection: Convection in cavities Geophysical and Geological Flows: Rotating flows

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Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 895 , 25 July 2020 , R1
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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