Development Of High Vorticity in Incompressible 3D Euler Equations: Influence of Initial Conditions

D. S. Agafontsev, E. A. Kuznetsov, A. A. Mailybaev

    Research output: Contribution to journalArticlepeer-review

    9 Citations (Scopus)

    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)-2/3between the vorticity maximum and pancake thickness, and provide the leading contribution to the energy spectrum, where the gradual formation of the Kolmogorov interval Ek∝ k−5/3is 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.

    Original languageEnglish
    Pages (from-to)685-689
    Number of pages5
    JournalJETP Letters
    Volume104
    Issue number10
    DOIs
    Publication statusPublished - 1 Nov 2016

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