Universal profile of the vortex condensate in two-dimensional turbulence
Jason Laurie, Guido Boffetta, Gregory Falkovich, Igor Kolokolov,, Vladimir Lebedev
TL;DR
This paper investigates the universal characteristics of vortex condensates in 2D turbulence, combining extensive simulations with theoretical analysis to accurately predict vortex profiles and amplitudes.
Contribution
It introduces a theoretical framework that accurately predicts vortex profiles and amplitudes in 2D turbulence, validated by extensive numerical simulations.
Findings
The vortex profile and amplitude match theoretical predictions.
Numerical simulations confirm the universality of the vortex condensate.
Theoretical analysis elucidates energy and momentum exchanges in the system.
Abstract
An inverse turbulent cascade in a restricted two-dimensional periodic domain leads to the creation of condensate -- a pair of coherent system-size vortices. We perform extensive numerical simulations of this system and carry on detailed theoretical analysis based upon momentum and energy exchanges between the turbulence fluctuations and the mean coherent condensate (vortices). The theory predicts the vortex profile and amplitude which perfectly agree with the numerical data.
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