title: Generalized vortex model for the inverse cascade of two-dimensional turbulence.
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.
authors: Institute for Theoretical Physics I, Ruhr-University Bochum, Universitätsstrasse 150, D-44801 Bochum, Germany.
authors: J
authors: J
authors: Friedrich
authors: Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Strasse 9, D-48149 Münster, Germany.
authors: R
authors: R
authors: Friedrich