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Velocity statistics inside coherent vortices generated by the inverse cascade of 2-D turbulence

Published online by Cambridge University Press:  15 November 2016

I. V. Kolokolov  and
V. V. Lebedev
I. V. Kolokolov*
Affiliation:
Landau Institute for Theoretical Physics, RAS, 142432, Ak. Semenova 1-A, Chernogolovka, Moscow region, Russia NRU Higher School of Economics, 101000, Myasnitskaya 20, Moscow, Russia
V. V. Lebedev
Affiliation:
Landau Institute for Theoretical Physics, RAS, 142432, Ak. Semenova 1-A, Chernogolovka, Moscow region, Russia NRU Higher School of Economics, 101000, Myasnitskaya 20, Moscow, Russia
*
†Email address for correspondence: igor.kolokolov@gmail.com
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Abstract

We analyse velocity fluctuations inside coherent vortices generated as a result of the inverse cascade in the two-dimensional (2-D) turbulence in a finite box. As we demonstrated in Kolokolov & Lebedev (Phys. Rev. E, vol. 93, 2016, 033104), the universal velocity profile, established in Laurie et al. (Phys. Rev. Lett., vol. 113, 2014, 254503), corresponds to the passive regime of the flow fluctuations. This 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.

JFM classification

Mathematical Foundations: General fluid mechanics Turbulent Flows: Turbulence theory

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Type
Rapids
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Journal of Fluid Mechanics , Volume 809 , 25 December 2016 , R2
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© 2016 Cambridge University Press 

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