ON VORTEX METHODS.

Abstract

Error estimates are given for fully discretized two- and three-dimensional vortex methods for Euler's equations and a new way of evaluating the stretching of vorticity in three-dimensional vortex methods is introduced. The convergence theory of J. T. Beale and A. Madja is discussed and a simple proof of G. H. Cottet's consistency result is presented. It is also described how to obtain accurate two-dimensional vortex methods in which the initial computational points are distributed on the nodes of nonrectangular grids, and several three-dimensional vortex method are compared.