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This article is cited in 4 scientific papers (total in 4 papers)
PLASMA, HYDRO- AND GAS DYNAMICS
Isotropization of two-dimensional hydrodynamic turbulence in the direct cascade
E. A. Kuznetsovabc, E. V. Sereshchenkodce a Lebedev Physical Institute, Russian Academy of Sciences, Moscow, Russia
b Landau Institute for Theoretical Physics, Russian Academy of Sciences, Moscow, Russia
c Novosibirsk State University, Novosibirsk, Russia
d Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
e Far Eastern Federal University, Vladivostok, Russia
Abstract:
We present results of numerical simulation of the direct cascade in two-dimensional hydrodynamic turbulence (with spatial resolution up to). If at the earlier stage (at the time of order of the inverse pumping growth rate $\tau\sim\Gamma_{\max}^{-1}$), the turbulence develops according to the same scenario as in the case of a freely decaying turbulence $[1, 2]$: quasi-singular distribution of di-vorticity are formed, which in $k$-space correspond to jets, leading to a strong turbulence anisotropy, then for times of the order of $10\tau$ turbulence becomes almost isotropic. In particular, at these times any significant anisotropy in the angular fluctuations for the energy spectrum (for a fixed $k$) is not visible, while the probability distribution function of vorticity for large arguments has the exponential tail with the exponent linearly dependent on vorticity, in the agreement with the theoretical prediction [3].
Received: 17.11.2016
Citation:
E. A. Kuznetsov, E. V. Sereshchenko, “Isotropization of two-dimensional hydrodynamic turbulence in the direct cascade”, Pis'ma v Zh. Èksper. Teoret. Fiz., 105:2 (2017), 70–76; JETP Letters, 105:2 (2017), 83–88
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https://www.mathnet.ru/eng/jetpl5166 https://www.mathnet.ru/eng/jetpl/v105/i2/p70
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