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This article is cited in 4 scientific papers (total in 4 papers)
PLASMA, HYDRO- AND GAS DYNAMICS
Pair correlation function of vorticity in a coherent vortex
I. V. Kolokolovab, V. V. Lebedevab, M. M. Tumakovaac a Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka, Moscow region, 142432 Russia
b National Research University Higher School of Economics, Moscow, 101000 Russia
c National Research University Higher School of Economics, St. Petersburg, 190008 Russia
Abstract:
We study the correlations of vorticity fluctuations inside a coherent vortex resulting from the inverse energy cascade in two-dimensional turbulence. The presence of a coherent flow, which is a differential rotation, suppresses small-scale fluctuations of the flow, which are created by an external force, and lead to the fact that these fluctuations can be considered as non-interacting and, therefore, examined in a linear approximation. We calculate the pair correlation function of vorticity and demonstrate that it has a power-law behavior both in space and in time. The obtained results allow us to start a systematic study of the effects associated with the nonlinear interaction of fluctuations, which play an essential role on the periphery of a coherent vortex. Our results are also applicable to the statistics of a passive scalar in a strong shear flow.
Received: 08.11.2022 Revised: 24.11.2022 Accepted: 02.12.2022
Citation:
I. V. Kolokolov, V. V. Lebedev, M. M. Tumakova, “Pair correlation function of vorticity in a coherent vortex”, Pis'ma v Zh. Èksper. Teoret. Fiz., 117:2 (2023), 127–131; JETP Letters, 117:2 (2023), 122–125
Linking options:
https://www.mathnet.ru/eng/jetpl6849 https://www.mathnet.ru/eng/jetpl/v117/i2/p127
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Abstract page: | 57 | References: | 24 | First page: | 9 |
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