CONVERGENCE OF THE POINT VORTEX METHOD FOR THE 2-D EULER EQUATIONS

We prove consistency, stability and convergence of the point vortex approximation to the 2‐D incompressible Euler equations with smooth solutions. We first show that the discretization error is second‐order accurate. Then we show that the method is stable in lp norm. Consequently the method converges in lp norm for all time. The convergence is also illustrated by a numerical experiment. Copyright © 1990 Wiley Periodicals, Inc., A Wiley Company