ANALYSIS AND CONVERGENCE OF THE MAC SCHEME .1. THE LINEAR PROBLEM

被引：90

作者：

NICOLAIDES, RA

机构：

[1] Carnegie Mellon Univ, Pittsburgh, PA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1992年 / 29卷 / 06期

关键词：

COMPUTATIONAL FLUID DYNAMICS; STAGGERED MESH SCHEMES; MAC SCHEME; VORTICITY-VELOCITY METHODS;

D O I：

10.1137/0729091

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The MAC (Marker and Cell) discretization of fluid flow is analysed for the stationary Stokes equations. It is proved that the discrete approximations do in fact converge to the exact solutions of the flow equations. Estimates using mesh dependent norms analogous to the standard H-1 and L2 norms are given for the velocity and pressure, respectively.

引用

页码：1579 / 1591

页数：13

共 15 条

[1] STABLE AND SEMISTABLE LOW ORDER FINITE-ELEMENTS FOR VISCOUS FLOWS [J].