Universal profile of the vortex condensate in two-dimensional turbulence

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.

arXiv comment4 pages, 7 figures

References in corpus (3)

• Growing condensate in two-dimensional turbulence
• Dynamics of Saturated Energy Condensation in Two-Dimensional Turbulence
• Universal Velocity Profile for Coherent Vortices in Two-Dimensional Turbulence

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