multiply connected domains中的涡流生成流体流动
Vortex generated fluid flows in multiply connected domains
摘要：
考虑了多连通区域中由任意数量点涡产生的流体流动。利用镜像法构造了该流的流函数作为某个函数序列的极限。讨论了该序列的收敛性，并显式地确定了收敛速度。所提出的公式允许容易计算的流函数的值与任意精度的情况下，以及分离的圆柱体。所考虑的问题是重要的应用程序，如在海洋中的涡流。此外，由于寻找流函数的流动是本质上相同的寻找修改的格林函数的拉普拉斯方程，所提出的方法可以应用到更一般的应用问题，其中涉及解决的狄利克雷问题拉普拉斯方程。
英文摘要：
A fluid flow in a multiply connected domain generated by an arbitrary number of point vortices is considered. A stream function for this flow is constructed as a limit of a certain functional sequence using the method of images. The convergence of this sequence is discussed, and the speed of convergence is determined explicitly. The presented formulas allow for the easy computation of the values of the stream function with arbitrary precision in the case of well-separated cylinders. The considered problem is important for applications such as eddy flows in the oceans. Moreover, since finding the stream function of the flow is essentially identical to finding the modified Green's function for Laplace's equation, the presented method can be applied to a more general class of applied problems which involve solving the Dirichlet problem for Laplace's equation.
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