CONVERGENCE OF A POINT VORTEX METHOD FOR VORTEX SHEETS

被引：18

作者：

HOU, TY ^{[1
]}

LOWENGRUB, J ^{[1
]}

KRASNY, R ^{[1
]}

机构：

[1] UNIV MICHIGAN,DEPT MATH,ANN ARBOR,MI 48109

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1991年 / 28卷 / 02期

关键词：

VORTEX SHEETS; DESINGULARIZATION; SPECTRAL ACCURACY;

D O I：

10.1137/0728017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on the observation that a point vortex approximation can be made spectrally accurate by using Van de Vooren's desingularization, short time convergence of the point vortex method for both vortex sheets and the Boussinesq approximation are proved using analytic data. The spectral accuracy of the method allows a very simple proof to be obtained without using the Cauchy-Kowalewski theorem.

引用

页码：308 / 320

页数：13

共 15 条

[1]

ASDANO K, 1988, P JAPAN ACAD AMS, V64, P102

[2]

Baker G. R., 1983, Waves on Fluid Interfaces. Proceedings of a Symposium, P53

[3] LONG-TIME EXISTENCE FOR A SLIGHTLY PERTURBED VORTEX SHEET [J].