The motion of a point vortex around multiple circular islands
The motion of a point vortex around multiple circular islands
复制标题
点涡绕多个圆形岛的运动
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
Jonathan S. Marshall
中科院分区：
文献类型：
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作者：
D. Crowdy;Jonathan S. Marshall
本文给出了一种计算任意有限个圆形岛屿上的单点涡旋在所有岛屿上的环流为零的特殊情况下的运动的新构造方法。在这种情况下，可以找到控制哈密顿量的显式表示，并用于研究涡旋轨迹。一个应用实例是地球物理流动，本研究提供了海洋涡旋与地形相互作用的一个简单模型。给出了广泛的说明性例子，包括在无限海岸线和无界海洋上的各种多岛结构的情况。将流域划分为涡旋动力学性质不同的区域的临界轨迹（或分离线）可以以系统和统一的方式计算，而不考虑存在的岛的数量。
A new constructive method for computing the motion of a single point vortex around an arbitrary finite number of circular islands in the special case when the circulations around all the islands are zero is presented. In this case, explicit representations for the governing Hamiltonians can be found and used to study the vortex trajectories. An example application is to geophysical flows and this study provides a simple model of the interaction of ocean eddies with topography. A wide range of illustrative examples are given, including the case of various multi-island configurations lying off an infinite coastline as well as in an unbounded ocean. The critical trajectories (or separatrices) dividing the flow domain into regions of qualitatively different dynamics of the vortices can be computed in a systematic and unified fashion irrespective of the number of islands present.