Profile of a coherent vortex in two-dimensional turbulence at static pumping

TL;DR

This paper investigates the velocity profile of coherent vortices in two-dimensional turbulence with static forcing, revealing a flat profile in the passive regime and a flux dependence on system parameters.

Contribution

It provides new insights into how static forcing influences vortex velocity profiles and energy flux scaling in two-dimensional turbulence.

Findings

Flat velocity profile in passive regime with static forcing

Energy flux scales as the force to the power of 4/3

Flux dependence on system parameters in static case

Abstract

We examine the velocity profile of coherent vortices appearing as a consequence of the inverse cascade of two-dimensional turbulence in a finite box in the case of static pumping. We demonstrate that in the passive regime the flat velocity profile is realized, as in the case of pumping short correlated in time. However, in the static case the energy flux to large scales is dependent on the system parameters. We demonstrate that it is proportional to $f^{4/3}$ where $f$ is the characteristic force exciting turbulence.