Unravelling the large-scale circulation modes in turbulent Rayleigh–Bénard convection

Susanne Horn, Peter J. Schmid, Jonathan M. Aurnou

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3 Citations (Scopus)
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Abstract

The large-scale circulation (LSC) is the most fundamental turbulent coherent flow structure in Rayleigh-Bénard convection. Further, LSCs provide the foundation upon which superstructures, the largest observable features in convective systems, are formed. In confined cylindrical geometries with diameter-to-height aspect ratios of Γ ≅ 1, LSC dynamics are known to be governed by a quasi-two-dimensional, coupled horizontal sloshing and torsional (ST) oscillatory mode. In contrast, in Γ ≥ √2 cylinders, a three-dimensional jump rope vortex (JRV) motion dominates the LSC dynamics. Here, we use dynamic mode decomposition (DMD) on direct numerical simulation data of liquid metal to show that both types of modes co-exist in Γ = 1 and Γ = 2 cylinders but with opposite dynamical importance. Furthermore, with this analysis, we demonstrate that ST oscillations originate from a tilted elliptical mean flow superposed with a symmetric higher order mode, which is connected to the four rolls in the plane perpendicular to the LSC in Γ = 1 tanks.
Original languageEnglish
Article number14003
Pages (from-to)14003
JournalEPL (Europhysics Letters)
Volume136
Issue number1
Early online date26 Nov 2021
DOIs
Publication statusE-pub ahead of print - 26 Nov 2021

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Keywords

  • General Physics and Astronomy

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