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Published on: July 19, 2016
Numerical renormalization group of vortex aggregation in two-dimensional decaying turbulence: the role of three-body
1Laboratoire de Physique Quantique, UMR C5626 du CNRS, Universite Paul Sabatier, 31062 Toulouse Cedex, France.
Abstract:
We introduce a numerical renormalization group procedure which permits long-time simulations of vortex dynamics and coalescence in a two-dimensional turbulent decaying fluid. The number of vortices decreases as N approximately t(-xi), with xi approximately 1 instead of the value xi=4/3 predicted by a naive kinetic theory. For short time, we find an effective exponent xi approximately 0.7 consistent with previous simulations and experiments. We show that the mean square displacement of surviving vortices grows as
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