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

Abstract

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 \cite{16KL}, the universal velocity profile, established in \cite{14LBFKL}, corresponds to the passive regime of flow fluctuations. The property enables one to calculate correlation functions of the velocity fluctuations in the universal region. We present 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.

arXiv admin note: substantial text overlap with arXiv:1511.03113

References in corpus (2)

• Growing condensate in two-dimensional turbulence
• Universal profile of the vortex condensate in two-dimensional turbulence

Cited by in corpus (4)

• Profile of a Two-Dimensional Vortex Condensate Beyond the Universal Limit
• Correlations of vorticity inside a coherent vortex
• Pair correlation function of vorticity in a coherent vortex
• Correlations of fluctuations of two-dimensional flow forced by a random force on top of a shear flow