Structure of coherent vortices generated by the inverse cascade of two-dimensional turbulence in a finite box

TL;DR

This paper investigates the structure and geometry of coherent vortices formed by the inverse cascade in finite two-dimensional turbulence, revealing universal velocity profiles and how vortex characteristics depend on system parameters.

Contribution

It provides new insights into the vortex core radius, size, and their dependence on system parameters, extending understanding of vortex formation in finite 2D turbulence.

Findings

Universal velocity profile corresponds to passive flow fluctuations.

Vortex core radius and size depend on system parameters.

Number of vortices generated varies with system conditions.

Abstract

We discuss structure and geometrical characteristics of coherent vortices appearing as a result of the inverse cascade in the two-dimensional turbulence in a finite box. We demonstrate that the universal velocity profile, established previously, corresponds to the passive regime of flow fluctuations. We find the vortex core radius and the vortex size and argue that an amount of the vortices generated in the box depends on the system parameters.