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arXiv · 1111.5808

Generalized vortex-model for the inverse cascade of two-dimensional turbulence

Jan Friedrich·Rudolf Friedrich
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Abstract

We generalize Kirchhoff's point vortex model of two-dimensional fluid motion to a rotor model which exhibits an inverse cascade by the formation of rotor clusters. A rotor is composed of two vortices with like-signed circulations glued together by an overdamped spring. The model is motivated by a treatment of the vorticity equation representing the vorticity field as a superposition of vortices with elliptic Gaussian shapes of variable widths, augmented by a suitable forcing mechanism. The rotor model opens up the way to discuss the energy transport in the inverse cascade on the basis of dynamical systems theory.

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BibTeXRIS

Jan Friedrich, Rudolf Friedrich. 2013-11-11. Generalized vortex-model for the inverse cascade of two-dimensional turbulence. https://doi.org/10.1103/physreve.88.053017

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