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This article is cited in 2 scientific papers (total in 2 papers)
PLASMA, HYDRO- AND GAS DYNAMICS
Statistical properties of the velocity field for the 3D hydrodynamic turbulence onset
D. S. Agafontsevab, E. A. Kuznetsovcbd, A. A. Mailybaeve a Shirshov Institute of Oceanology, Russian Academy of Sciences, Moscow, Russia
b Skolkovo Institute of Science and Technology, Moscow, Russia
c Landau Institute for Theoretical Physics of Russian Academy of Sciences, Chernogolovka, Moscow region, Russia
d Lebedev Physical Institute, Russian Academy of Sciences, Moscow, Russia
e Instituto Nacional de Matemática Pura e Aplicada – IMPA, Rio de Janeiro, Brazil
Abstract:
We study the statistical correlation functions for the three-dimensional hydrodynamic turbulence onset when the dynamics is dominated by the pancake-like high-vorticity structures. With extensive numerical simulations, we systematically examine the two-points structure functions (moments) of velocity. We observe formation of the power-law scaling for both the longitudinal and the transversal moments in the same interval of scales as for the energy spectrum. The scaling exponents for the velocity structure functions demonstrate the same key properties as for the stationary turbulence case. In particular, the exponents depend on the order of the moment non-trivially, indicating the intermittency and the anomalous scaling, and the longitudinal exponents turn out to be slightly larger than the transversal ones. When the energy spectrum has power-law scaling close to the Kolmogorov’s one, the longitudinal third-order moment shows close to linear scaling with the distance, in line with the Kolmogorov’s 4/5-law despite the strong anisotropy.
Received: 01.06.2019 Revised: 01.06.2019 Accepted: 06.06.2019
Citation:
D. S. Agafontsev, E. A. Kuznetsov, A. A. Mailybaev, “Statistical properties of the velocity field for the 3D hydrodynamic turbulence onset”, Pis'ma v Zh. Èksper. Teoret. Fiz., 110:2 (2019), 106–111; JETP Letters, 110:2 (2019), 121–126
Linking options:
https://www.mathnet.ru/eng/jetpl5956 https://www.mathnet.ru/eng/jetpl/v110/i2/p106
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