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

被引：101

作者：

GOODMAN, J

HOU, TY

LOWENGRUB, J

机构：

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 1990年 / 43卷 / 03期

关键词：

D O I：

10.1002/cpa.3160430305

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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

引用

页码：415 / 430

页数：16