Отправить статью по E-mail Development of high vorticity in incompressible 3D Euler equations: Influence of initial conditions
- Авторы: Agafontsev D.S.1,2, Kuznetsov E.A.2,3, Mailybaev A.A.4
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Учреждения:
- Shirshov Institute of Oceanology
- Novosibirsk State University
- Lebedev Physical Institute
- Instituto Nacional de Matemática Pura e Aplicada—IMPA
- Выпуск: Том 104, № 10 (2016)
- Страницы: 685-689
- Раздел: Plasma, Hydro- and Gas Dynamics
- URL: https://journals.rcsi.science/0021-3640/article/view/159723
- DOI: https://doi.org/10.1134/S002136401622001X
- ID: 159723
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Аннотация
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 Ek ∝ 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.
Об авторах
D. Agafontsev
Shirshov Institute of Oceanology; Novosibirsk State University
Автор, ответственный за переписку.
Email: dmitrij@itp.ac.ru
Россия, Moscow, 117218; Novosibirsk, 630090
E. Kuznetsov
Novosibirsk State University; Lebedev Physical Institute
Email: dmitrij@itp.ac.ru
Россия, Novosibirsk, 630090; Moscow, 119991
A. Mailybaev
Instituto Nacional de Matemática Pura e Aplicada—IMPA
Email: dmitrij@itp.ac.ru
Бразилия, Rio de Janeiro, 22460-320
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