On the three-dimensional instability of strained vortices
On the three-dimensional instability of strained vortices
复制标题
应变涡旋的三维不稳定性
DOI：
10.1063/1.857682
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发表时间：
1990
影响因子：
4.6
通讯作者：
F. Waleffe
中科院分区：
文献类型：
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作者：
F. Waleffe
具有椭圆流线的二维（2-D）流动的三维（3-D）不稳定性已被提出作为许多二维流动破裂的一般机制。本文给出了该机制的物理解释以及对该问题的分析处理。结果表明，椭圆流的稳定性是由一个因斯方程。一个本地化的解决方案的解析表示，并建立了与以前的计算和实验的直接联系。
The three‐dimensional (3‐D) instability of a two‐dimensional (2‐D) flow with elliptical streamlines has been proposed as a generic mechanism for the breakdown of many 2‐D flows. A physical interpretation for the mechanism is presented together with an analytical treatment of the problem. It is shown that the stability of an elliptical flow is governed by an Ince equation. An analytical representation for a localized solution is given and establishes a direct link with previous computations and experiments.