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arXiv · 0909.1575

Universal Velocity Profile for Coherent Vortices in Two-Dimensional Turbulence

M. Chertkov·I. Kolokolov·V. Lebedev
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Abstract

Two-dimensional turbulence generated in a finite box produces large-scale coherent vortices coexisting with small-scale fluctuations. We present a rigorous theory explaining the $\eta=1/4$ scaling in the $V\propto r^{-\eta}$ law of the velocity spatial profile within a vortex, where $r$ is the distance from the vortex center. This scaling, consistent with earlier numerical and laboratory measurements, is universal in its independence of details of the small-scale injection of turbulent fluctuations and details of the shape of the box.

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M. Chertkov, I. Kolokolov, V. Lebedev. 2009-09-08. Universal Velocity Profile for Coherent Vortices in Two-Dimensional Turbulence. https://doi.org/10.1103/physreve.81.015302

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