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Correlations of Vorticity Inside a Coherent Vortex
- Authors: Kolokolov I.V1,2, Lebedev V.V1,2, Tumakova M.M2
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Affiliations:
- Landau Institute of Physics, Russian Academy of Sciences
- National Research University “Higher School of Economics”
- Issue: Vol 163, No 6 (2023)
- Pages: 881-891
- Section: Articles
- URL: https://journal-vniispk.ru/0044-4510/article/view/145426
- DOI: https://doi.org/10.31857/S0044451023060147
- EDN: https://elibrary.ru/DHWGKX
- ID: 145426
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Abstract
We investigate fluctuations of vorticity inside a coherent vortex generated by the inverse energy cascade in two-dimensional turbulence. Temporal and spatial correlations can be characterized by the pair correlation function. The interaction of fluctuations leads to a nonzero third moment of vorticity. We analyze the pair correlation function and the third moment using a model in which the pumping is short-correlated in time and derive explicit expressions for the Gaussian spatial correlation function for the pumping force.
About the authors
I. V Kolokolov
Landau Institute of Physics, Russian Academy of Sciences; National Research University “Higher School of Economics”
Email: igor.kolokolov@gmail.com
142432, Chernogolovka, Moscow oblast, Russia; 101000, Moscow, Russia
V. V Lebedev
Landau Institute of Physics, Russian Academy of Sciences; National Research University “Higher School of Economics”
Email: igor.kolokolov@gmail.com
142432, Chernogolovka, Moscow oblast, Russia; 101000, Moscow, Russia
M. M Tumakova
National Research University “Higher School of Economics”
Author for correspondence.
Email: igor.kolokolov@gmail.com
190008, St. Petersburg, Russia
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