Development of high vorticity in incompressible 3D Euler equations: Influence of initial conditions |
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| Authors: | D S Agafontsev E A Kuznetsov A A Mailybaev |
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| Institution: | 1.Shirshov Institute of Oceanology,Russian Academy of Sciences,Moscow,Russia;2.Novosibirsk State University,Novosibirsk,Russia;3.Lebedev Physical Institute,Russian Academy of Sciences,Moscow,Russia;4.Instituto Nacional de Matemática Pura e Aplicada—IMPA,Rio de Janeiro,Brazil |
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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 ωmax(t) ∝ l(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. With the massive numerical simulations, we study the influence of initial conditions on the processes of pancake formation and the Kolmogorov energy spectrum development. |
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