Offsprings of a point vortex
Xavier Leoncini (CPT), Alain Barrat (CPT, ISI), Christophe Josserand, (IJLRA), Simon Villain-Guillot (CPMOH, LOMA)
TL;DR
This paper investigates the distribution of vorticity resulting from successive splitting of a point vortex, analyzing a specific splitting process and its dissipative nature, to understand vortex population dynamics.
Contribution
It introduces a new process of successive vortex splitting and analyzes the resulting vorticity distribution and vortex populations, highlighting the dissipative characteristics of the process.
Findings
Splitting a vortex into three is shown to be dissipative.
A simple successive splitting process is defined and analyzed.
The resulting vorticity distribution and vortex populations are characterized.
Abstract
The distribution engendered by successive splitting of one point vortex are considered. The process of splitting a vortex in three using a reverse three-point vortex collapse course is analysed in great details and shown to be dissipative. A simple process of successive splitting is then defined and the resulting vorticity distribution and vortex populations are analysed.
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