Fast Computation of Hydrodynamic Green’s Function

Abstract

A fast and accurate numerical method for computing the hydrodynamic Green’s function will be presented. The method is based on writing the hydrodynamic Green’s function in terms of an auxiliary analytic function which is computed by solving a boundary integral equation with the generalized Neumann kernel. Application of the presented method to compute the stream function of fluid motion due to a finite number of point vortices in an incompressible fluid on planar multiply connected domains of high connectivity with complicated boundaries will be presented.