Vortex-Model for the Inverse Cascade of 2D-Turbulence

Details Vortex-Model for the Inverse Cascade of 2D-Turbulence Vortex-Model for the Inverse Cascade of 2D-Turbulence

2011-11-24

arxiv.org/abs/1111.5808v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

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 a nonelastic bond. 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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