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Journal Articles Journal of Statistical Mechanics: Theory and Experiment Year : 2023

Point-vortex statistical mechanics applied to turbulence without vortex stretching

Abstract

In turbulent systems with inverse cascades, energy will pile up at large scales if no large-scale sink is present. We observe that in forced-dissipative three-dimensional turbulence from which vortex-stretching is removed, such condensation is observed, associated with an inverse cascade of helicity. The largescale structure of this condensate is characterized by a hyperbolic sine relation between vorticity and velocity, analogous to the sinh relation between vorticity and stream function observed in freely decaying 2D turbulence in periodic domains. We generalize a 2D point-vortex statistical mechanics approach to our 3D system. It is shown that the predictions of this approach are in agreement with observations of both the forced-dissipative system, after appropriate averaging, and of the freely decaying system.
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hal-04310023 , version 1 (27-11-2023)

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Tong Wu, Tomos David, Wouter J T Bos. Point-vortex statistical mechanics applied to turbulence without vortex stretching. Journal of Statistical Mechanics: Theory and Experiment, 2023, 2023, pp.113203. ⟨10.1088/1742-5468/ad063a⟩. ⟨hal-04310023⟩
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