2ND-ORDER CONVERGENCE OF A PROJECTION SCHEME FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS WITH BOUNDARIES

被引：25

作者：

HOU, TY ^{[1
]}

WETTON, BTR ^{[1
]}

机构：

[1] UNIV BRITISH COLUMBIA,DEPT MATH,VANCOUVER V6T 1Y4,BC,CANADA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1993年 / 30卷 / 03期

关键词：

PROJECTION METHOD; ENERGY ESTIMATES;

D O I：

10.1137/0730030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A rigorous convergence result is given for a projection scheme for the Navier-Stokes equations in the presence of boundaries. The numerical scheme is based on a finite-difference approximation, and the pressure is chosen so that the computed velocity satisfies a discrete divergence-free condition. This choice for the pressure and the particular way that the discrete divergence is calculated near the boundary permit the error in the pressure to be controlled and the second-order convergence in the velocity and the pressure to the exact solution to be shown. Some simplifications in the calculation of the pressure in the case without boundaries are also discussed.

引用

页码：609 / 629

页数：21

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