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

被引：7

作者：

Agafontsev, D. S. ^{[1
,2
]}

Kuznetsov, E. A. ^{[2
,3
]}

Mailybaev, A. A. ^{[4
]}

机构：

[1] Russian Acad Sci, Shirshov Inst Oceanol, Moscow 117218, Russia

[2] Novosibirsk State Univ, Novosibirsk 630090, Russia

[3] Russian Acad Sci, Lebedev Phys Inst, Moscow 119991, Russia

[4] Inst Nacl Matemat Pura & Aplicada IMPA, BR-22460320 Rio De Janeiro, Brazil

来源：

JETP LETTERS | 2017年 / 104卷 / 10期

基金：

俄罗斯科学基金会;

关键词：

D O I：

10.1134/S002136401622001X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The incompressible three-dimensional ideal flows develop very thin pancake-like regions of increasing vorticity. These regions evolve with the scaling omega(max)(t) ae 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) ae 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.

引用

页码：685 / 689

页数：5

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