Folding in Two-dimensional Hydrodynamic Turbulence

E. A. Kuznetsov, E. V. Sereshchenko

Research output: Contribution to journalArticlepeer-review

1 Citation (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

Keywords

  • HAMILTONIAN-DYNAMICS
  • VORTEX
  • LINES

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