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Statistical Properties of the Velocity Field for the 3D Hydrodynamic Turbulence Onset

  • D. S. AgafontsevEmail author
  • E. A. Kuznetsov
  • A. A. Mailybaev
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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.

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Copyright information

© Pleiades Publishing, Inc. 2019

Authors and Affiliations

  • D. S. Agafontsev
    • 1
    • 2
    Email author
  • E. A. Kuznetsov
    • 2
    • 3
    • 4
  • A. A. Mailybaev
    • 5
  1. 1.P. P. Shirshov Institute of Oceanology of Russian Academy of SciencesMoscowRussia
  2. 2.Skolkovo Institute of Science and TechnologyMoscowRussia
  3. 3.P. N. Lebedev Physical Institute of Russian Academy of SciencesMoscowRussia
  4. 4.L. D. Landau Institute for Theoretical Physics of Russian Academy of SciencesChernogolovkaRussia
  5. 5.Instituto Nacional de Matemática Pura e Aplicada - IMPARio de JaneiroBrazil

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