Compressible structures in incompressible hydrodynamics and their role in turbulence onset

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

Research output: Contribution to journalConference articlepeer-review

Abstract

The formation of the coherent vortical structures in the form of thin pancakes is studied for three-dimensional flows at the high Reynolds regime when, in the leading order, the development of such structures can be described within the 3D Euler equations for ideal incompressible fluids. Numerically and analytically on the base of the vortex line representation we show that compression of such structures and respectively increase of their amplitudes are possible due to the compressibility of the continuously distributed vortex lines. It is demonstrated that this growth can be considered as analog of breaking for the divergence-free vorticity field. At high amplitudes this process has a self-similar behavior connected the maximal vorticity and the pancake width by the Kolmogorov type relation ω max ∝ l -2/3 . The role of such structures in the Kolmogorov spectrum formation is also discussed.

Original languageEnglish
Article number012002
Number of pages10
JournalIOP Conference Series: Earth and Environmental Science
Volume231
Issue number1
DOIs
Publication statusPublished - 12 Feb 2019
EventInternational Conference on Turbulence, Atmosphere and Climate Dynamics 2018 - Moscow, Russian Federation
Duration: 16 May 201818 May 2018

Keywords

  • HAMILTONIAN-DYNAMICS
  • EULER EQUATIONS
  • VORTEX
  • LINES
  • FLOWS
  • IDEAL

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