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Connecting wall modes and boundary zonal flows in rotating Rayleigh-Bénard convection

Robert E. Ecke1,2,3,*, Xuan Zhang1,†, and Olga Shishkina1,‡

  • 1Max Planck Institute for Dynamics and Self-Organization, 37077 Göttingen, Germany
  • 2Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
  • 3Department of Physics, University of Washington, Seattle, Washington 98195, USA

  • *ecke@lanl.gov
  • †xuan.zhang@ds.mpg.de
  • ‡Olga.Shishkina@ds.mpg.de
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Phys. Rev. Fluids 7, L011501 – Published 10 January, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.L011501

Abstract

Using direct numerical simulations, we study rotating Rayleigh-Bénard convection in a cylindrical cell with aspect ratio Γ=1/2, for Prandtl number 0.8, Ekman number 10−6, and Rayleigh numbers from the onset of wall modes to the geostrophic regime, an extremely important one in geophysical and astrophysical contexts. We connect linear wall-mode states that occur prior to the onset of bulk convection with the boundary zonal flow that coexists with turbulent bulk convection in the geostrophic regime through the continuity of length and timescales and of convective heat transport. We quantitatively collapse drift frequency, boundary length, and heat transport data from numerous sources over many orders of magnitude in Rayleigh and Ekman numbers. Elucidating the heat transport contributions of wall modes and of the boundary zonal flow are critical for characterizing the properties of the geostrophic regime of rotating convection in finite, physical containers and is crucial for connecting the geostrophic regime of laboratory convection with geophysical and astrophysical systems.

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References (33)

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Phys. Rev. Fluids 7, L011501– Published 10 January, 2022
  • Received 17 June 2021
  • Accepted 7 December 2021
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Open access publication funded by the Max Planck Society.

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