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

7 Citations (Scopus)


The incompressible three-dimensional ideal flows develop very thin pancake-like regions of increasing vorticity. These regions evolve with the scaling ω max(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 E k∝ 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
Issue number10
Publication statusPublished - 1 Nov 2016

Cite this