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Regular version of the site

Article

Universal velocity profile for coherent vortices in two-dimensional turbulence

Kolokolov I., Lebedev V., Chertkov M.
Two-dimensional turbulence generated in a finite box produces large-scale coherent vortices coexisting with small-scale fluctuations. We present a rigorous theory explaining the  =1/4 scaling in the Vr− law of the velocity spatial profile within a vortex, where r is the distance from the vortex center. This scaling, consistent with earlier numerical and laboratory measurements, is universal in its independence of details of the smallscale injection of turbulent fluctuations and details of the shape of the box.