Chaotic Lagrangian trajectories around an elliptical vortex patch embedded in a constant and uniform background shear flow
Chaotic Lagrangian trajectories around an elliptical vortex patch embedded in a constant and uniform background shear flow
复制标题
嵌入恒定且均匀的背景剪切流中的椭圆涡旋斑周围的混沌拉格朗日轨迹
DOI：
10.1063/1.857814
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发表时间：
1990
影响因子：
4.6
通讯作者：
J. Wisdom
中科院分区：
文献类型：
--
作者：
L. Polvani;J. Wisdom
涡旋的拉格朗日流[J]。理论物理。Soc。用不可积的二自由度哈密顿量描述了一个嵌入在均匀恒定背景切变中的椭圆二维涡旋斑块。当剪切值较小时，涡旋周围存在较大的混沌区，通常比涡旋本身大得多，并且非常靠近涡旋边界。漩涡内的运动是可积的。讨论了二维湍流的含义。
The Lagrangian flow around a Kida vortex [J. Phys. Soc. Jpn. 50, 3517 (1981)], an elliptical two‐dimensional vortex patch embedded in a uniform and constant background shear, is described by a nonintegrable two‐degree‐of‐freedom Hamiltonian. For small values of shear, there exist large chaotic zones surrounding the vortex, often much larger than the vortex itself and extremely close to its boundary. Motion within the vortex is integrable. Implications for two‐dimensional turbulence are discussed.