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Springer Verlag, JETP Letters, 10(104), p. 685-689

DOI: 10.1134/s002136401622001x

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

Journal article published in 2016 by D. S. Agafontsev ORCID, E. A. Kuznetsov, A. A. Mailybaev
This paper is available in a repository.
This paper is available in a repository.

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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 $ω_{\max}(t)∝\ell(t)^{-2/3}$ 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 [Agafontsev et. al, Phys. Fluids 27, 085102 (2015)]. With the massive numerical simulations, in the present paper we study the influence of initial conditions on the processes of pancake formation and the Kolmogorov energy spectrum development. ; Comment: 5 pages, 3 figures