Abstract
The Greengard–Rokhlin fast multipole method (FMM) provides an efficient numerical algorithm to calculate the two-dimensional stream function and velocity field at a number of target points associated with a large system of vortices (sources). In this paper we discuss an extension to their adaptive scheme. The added feature allows the specification of target points that do not have to coincide with the location of the sources. This is useful when specifying separate source and target fields for calculating boundary conditions, trajectories of passive scalar quantities, data for stream-function plots, etc. A simple algorithm has been developed to optimize the method for cases where the number of sources differs significantly from the number of target points.
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