Abstract
We present a contour dynamics algorithm for the Euler equations of fluid dynamics in two dimensions. This is applied to regions of piecewise-constant vorticity within finite-area-vortex regions (FAVR's). Essentially, this reduces the dimensionality by one and we are treating the interaction of closed polygonal contours whose nodes are advected by the total fluid motion computed self-consistently. A leapfrog centered scheme is used for temporal advancement. Computer simulation results are given for two and four like-signed interacting FAVR's. In all cases wavelike surface deformations are observed. If the distance between FAVR's is comparable to their extent (“diameter”), these surface deformations are large. They play an essential role in the observed coalescence of FAVR's.
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