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A fluid flow in a multiply connected domain generated by an arbitrary numberof point vortices is considered. A stream function for this flow is constructedas a limit of a certain functional sequence using the method of images. Theconvergence of this sequence is discussed, and the speed of convergence isdetermined explicitly. The presented formulas allow for the easy computation ofthe values of the stream function with arbitrary precision in the case ofwell-separated cylinders. The considered problem is important for applicationssuch as eddy flows in the oceans. Moreover, since finding the stream functionof the flow is essentially identical to finding the modified Green's functionfor Laplace's equation, the presented method can be applied to a more generalclass of applied problems which involve solving the Dirichlet problem forLaplace's equation.

Vortex generated fluid flows in multiply connected domains