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Эта публикация цитируется в 6 научных статьях (всего в 6 статьях)
НЕЛИНЕЙНЫЕ ЯВЛЕНИЯ
Anisotropic characteristics of the Kraichnan direct cascade in two-dimensional hydrodynamic turbulence
E. A. Kuznetsovabc, E. V. Sereshchenkoade a Novosibirsk State University, 630090 Novosibirsk, Russia
b Lebedev Physical Institute of the RAS, 119991 Moscow, Russia
c Landau Institute for Theoretical Physics of the RAS, 119334 Moscow, Russia
d Far-Eastern Federal University, 690091 Vladivostok, Russia
e Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, 630090 Novosibirsk, Russia
Аннотация:
Statistical characteristics of the Kraichnan direct cascade for two-dimensional hydrodynamic turbulence are numerically studied (with spatial resolution $8192\times 8192$) in the presence of pumping and viscous-like damping. It is shown that quasi-shocks of vorticity and their Fourier partnerships in the form of jets introduce an essential influence in turbulence leading to strong angular dependencies for correlation functions. The energy distribution as a function of modulus $k$ for each angle in the inertial interval has the Kraichnan behavior, ${\sim}\,k^{-4}$, and simultaneously a strong dependence on angles. However, angle average provides with a high accuracy the Kraichnan turbulence spectrum $E_k=C_{\text{K}}\eta^{2/3} k^{-3}$, where $\eta$ is enstrophy flux and the Kraichnan constant $C_{\text{K}}\simeq 1.3$, in correspondence with the previous simulations. Familiar situation takes place for third-order velocity structure function $S_3^L$ which, as for the isotropic turbulence, gives the same scaling with respect to separation length $R$ and $\eta$, $S_3^L=C_3\eta R^3$, but the mean over angles and time $\bar {C_3}$ differs from its isotropic value.
Поступила в редакцию: 14.10.2015 Исправленный вариант: 26.10.2015
Образец цитирования:
E. A. Kuznetsov, E. V. Sereshchenko, “Anisotropic characteristics of the Kraichnan direct cascade in two-dimensional hydrodynamic turbulence”, Письма в ЖЭТФ, 102:11 (2015), 870–875; JETP Letters, 102:11 (2015), 760–765
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jetpl4809 https://www.mathnet.ru/rus/jetpl/v102/i11/p870
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