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Development of high vorticity in incompressible 3D Euler equations: Influence of initial conditions

  • Plasma, Hydro- and Gas Dynamics
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Abstract

The incompressible three-dimensional ideal flows develop very thin pancake-like regions of increasing vorticity. These regions evolve with the scaling ωmax(t) ∝ l(t)-2/3 between the vorticity maximum and pancake thickness, and provide the leading contribution to the energy spectrum, where the gradual formation of the Kolmogorov interval E k ∝ k−5/3 is observed for some initial flows. With the massive numerical simulations, we study the influence of initial conditions on the processes of pancake formation and the Kolmogorov energy spectrum development.

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Authors and Affiliations

  1. Shirshov Institute of Oceanology, Russian Academy of Sciences, Moscow, 117218, Russia

    D. S. Agafontsev

  2. Novosibirsk State University, Novosibirsk, 630090, Russia

    D. S. Agafontsev & E. A. Kuznetsov

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

    E. A. Kuznetsov

  4. Instituto Nacional de Matemática Pura e Aplicada—IMPA, 22460-320, Rio de Janeiro, Brazil

    A. A. Mailybaev

Authors
  1. D. S. Agafontsev
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  2. E. A. Kuznetsov
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  3. A. A. Mailybaev
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Corresponding author

Correspondence to D. S. Agafontsev.

Additional information

Published in Russian in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2016, Vol. 104, No. 10, pp. 695–700.

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Agafontsev, D.S., Kuznetsov, E.A. & Mailybaev, A.A. Development of high vorticity in incompressible 3D Euler equations: Influence of initial conditions. Jetp Lett. 104, 685–689 (2016). https://doi.org/10.1134/S002136401622001X

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  • DOI: https://doi.org/10.1134/S002136401622001X

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