Folding in Two-Dimensional Hydrodynamic Turbulence

E. A. Kuznetsov, E. V. Sereshchenko

    Research output: Contribution to journalArticlepeer-review

    3 Citations (Scopus)

    Abstract

    The vorticity rotor field B = curlω (divorticity) for freely decaying two-dimensional hydrodynamic turbulence due to a tendency to breaking is concentrated near the lines corresponding to the position of the vorticity quasi-shocks. The maximum value of the divorticity B max at the stage of quasi-shocks formation increases exponentially in time, while the thickness ℓ(t) of the maximum area in the transverse direction to the vector B decreases in time also exponentially. It is numerically shown that B max (t) depends on the thickness according to the power law B max (t) ∼ ℓ −α (t), where α = 2/3. This behavior indicates in favor of folding for the divergence-free vector field of the divorticity.

    Original languageEnglish
    Pages (from-to)239-242
    Number of pages4
    JournalJETP Letters
    Volume109
    Issue number4
    DOIs
    Publication statusPublished - 1 Feb 2019

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