An Application of Draghicescu's Fast Summation Method to Vortex Sheet Motion

Abstract

The fast summation method of Draghicescu is applied tocomputation of 2D vortex sheet motion.This paper reports our numerical experiments which show the effectiveness as well as difficulties of Draghicescu's fast summation method in 2D vortex-sheet computations. For instance, the fast summation method is nearly thirty times faster than the direct summation method when we use 65536 = 2¹⁶ vortex blobs. As a test problem, we re-examine Krasny's problem of computing a vortex sheet for a fairly long time.