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Article

Velocity statistics inside coherent vortices generated by the inverse cascade of $2d$ turbulence

Journal of Fluid Mechanics. 2016. Vol. 809. No. paper R2. P. 1-11.

We analyze velocity fluctuations inside  coherent vortices generated as a result of the inverse cascade in the two-dimensional ($2d$) turbulence in a finite box. As we demonstrated in \citep{16KL}, the universal velocity profile, established in \citep{14LBFKL}, corresponds to the passive regime of the flow fluctuations. The property enables one to calculate correlation functions of the velocity fluctuations in the universal region. We present the results of the calculations that demonstrate a non-trivial scaling of the structure function. In addition the calculations reveal strong anisotropy of the structure function.