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Article Dans Une Revue Journal of Fluid Mechanics Année : 2020

Critical transition in fast-rotating turbulence within highly elongated domains

Alexandros Alexakis

Résumé

We study rapidly-rotating turbulent flows in a highly elongated domain using an asymp-totic expansion at simultaneously large rotation rate Ω = O(1/) and domain height H = O(1/), 1. We solve the resulting equations using an extensive set of direct numerical simulations for different parameter regimes. As a parameter λ ∝ Ω/H is increased beyond a threshold λ c , a transition is observed from a state without an inverse energy cascade to a state with an inverse energy cascade. For large Reynolds number and large horizontal box size, we provide evidence for criticality of the transition in terms of the large-scale energy dissipation rate and estimate a critical exponent close to unity.
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Dates et versions

hal-02944739 , version 1 (21-09-2020)

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Adrian van Kan, Alexandros Alexakis. Critical transition in fast-rotating turbulence within highly elongated domains. Journal of Fluid Mechanics, 2020, 899, ⟨10.1017/jfm.2020.443⟩. ⟨hal-02944739⟩
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