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Article Dans Une Revue Physics of Fluids Année : 2014

Inverse cascade and symmetry breaking in rapidly rotating Boussinesq convection

Résumé

In this paper we present numerical simulations of rapidly-rotating Rayleigh-Bénard convection in the Boussi-nesq approximation with stress-free boundary conditions. At moderately low Rossby number and large Rayleigh number, we show that a large-scale depth-invariant flow is formed, reminiscent of the condensate state observed in two-dimensional flows. We show that the large-scale circulation shares many similarities with the so-called vortex, or slow-mode, of forced rotating turbulence. Our investigations show that at a fixed rotation rate the large-scale vortex is only observed for a finite range of Rayleigh numbers, as the quasi-two-dimensional nature of the flow disappears at very high Rayleigh numbers. We observe slow vortex merging events and find a non-local inverse cascade of energy in addition to the regular direct cascade associated with fast small-scale turbulent motions. Finally, we show that cyclonic structures are dominant in the small-scale turbulent flow and this symmetry breaking persists in the large-scale vortex motion.
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hal-01172651 , version 1 (07-07-2015)

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Benjamin Favier, Lara J. Silvers, Michael R. E. Proctor. Inverse cascade and symmetry breaking in rapidly rotating Boussinesq convection. Physics of Fluids, 2014, 26, pp.096605. ⟨10.1063/1.4895131⟩. ⟨hal-01172651⟩
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