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 commentarXiv admin note: substantial text overlap with arXiv:1511.03113

References in corpus (3)

• Growing condensate in two-dimensional turbulence
• Universal profile of the vortex condensate in two-dimensional turbulence
• Jets or vortices - what flows are generated by an inverse turbulent cascade?

Cited by in corpus (10)

• A rare event algorithm links transitions in turbulent flows with activated nucleations
• Turbulence statistics in a 2D vortex condensate
• The culmination of an inverse cascade: mean flow and fluctuations
• Profile of a Two-Dimensional Vortex Condensate Beyond the Universal Limit
• Pair correlation function of vorticity in a coherent vortex
• Correlations of vorticity inside a coherent vortex
• Statistical analysis of vortex condensate motion in two-dimensional turbulence
• Correlations in a weakly interacting two-dimensional random flow
• Mixing in two-dimensional shear flow with smooth fluctuations
• Correlations of fluctuations of two-dimensional flow forced by a random force on top of a shear flow