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Isotropization of two-dimensional hydrodynamic turbulence in the direct cascade

  • Plasma, Hydro- and Gas Dynamics
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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 τ-Γmax −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 10τ 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].

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Authors and Affiliations

  1. Lebedev Physical Institute, Russian Academy of Sciences, Moscow, 119991, Russia

    E. A. Kuznetsov

  2. Landau Institute for Theoretical Physics, Russian Academy of Sciences, Moscow, 119334, Russia

    E. A. Kuznetsov

  3. Novosibirsk State University, Novosibirsk, 630090, Russia

    E. A. Kuznetsov & E. V. Sereshchenko

  4. Far Eastern Federal University, Vladivostok, 690950, Russia

    E. V. Sereshchenko

  5. Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    E. V. Sereshchenko

Authors
  1. E. A. Kuznetsov
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  2. E. V. Sereshchenko
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Correspondence to E. A. Kuznetsov.

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Original Russian Text © E.A. Kuznetsov, E.V. Sereshchenko, 2017, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2017, Vol. 105, No. 2, pp. 70–76.

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Kuznetsov, E.A., Sereshchenko, E.V. Isotropization of two-dimensional hydrodynamic turbulence in the direct cascade. Jetp Lett. 105, 83–88 (2017). https://doi.org/10.1134/S0021364017020102

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  • DOI: https://doi.org/10.1134/S0021364017020102

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