Renormalized Onsager functions and merging of vortex clusters
Fluid Dynamics
2019-01-23 v1 Mathematical Physics
math.MP
Probability
Abstract
In this letter we numerically investigate the merging mechanism between two clusters of point vortices. We introduce a concept of renormalized Onsager function, an elaboration of the solutions of the mean field equation, and use it to understand the shape of the single cluster observed as a result of the merging process. We finally discuss the potential implications for the inverse cascade 2D turbulence.
Cite
@article{arxiv.1901.06565,
title = {Renormalized Onsager functions and merging of vortex clusters},
author = {Franco Flandoli},
journal= {arXiv preprint arXiv:1901.06565},
year = {2019}
}