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arXiv · 2106.09176

Stability of tangential discontinuity for the vortex pancakes

D. S. Agafontsev·E. A. Kuznetsov·A. A. Mailybaev
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Abstract

Within the incompressible three-dimensional Euler equations, we study the pancake-like high vorticity regions, which arise during the onset of developed hydrodynamic turbulence. We show that these regions have an internal fine structure consisting of three vortex layers. Such a layered structure, together with the power law of self-similar evolution of the pancake, prevents development of the Kelvin-Helmholtz instability.

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D. S. Agafontsev, E. A. Kuznetsov, A. A. Mailybaev. 2021-06-16. Stability of tangential discontinuity for the vortex pancakes. https://doi.org/10.1134/s0021364021140010

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