A NEW VORTEX SCHEME FOR VISCOUS FLOWS

被引：55

作者：

FISHELOV, D

机构：

[1] UNIV CALIF BERKELEY LAWRENCE BERKELEY LAB,BERKELEY,CA 94720

[2] UNIV CALIF BERKELEY,DEPT MATH,BERKELEY,CA 94720

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 1990年 / 86卷 / 01期

关键词：

D O I：

10.1016/0021-9991(90)90098-L

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The purpose of this paper is to suggest a new way to discretize the viscous term of the Navier-Stokes equations, when they are approximated by a vortex method. The idea is to approximate the vorticity by convolving it with a cutoff function. We then explicitly differentiate the cutoff function to approximate the second-order spatial derivatives in the viscous term. We prove stability for the heat equation and give error estimates for the heat and the Navier-Stokes equations. © 1990.

引用

页码：211 / 224

页数：14

共 26 条

[1] ON VORTEX METHODS [J].