On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes

被引：200

作者：

Shen, J

机构：

[1] Department of Mathematics, Penn State University, University Park

来源：

MATHEMATICS OF COMPUTATION | 1996年 / 65卷 / 215期

关键词：

pseudo-compressibility; pressure stabilization; projection method; Navier-Stokes equations;

D O I：

10.1090/S0025-5718-96-00750-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present in this paper a rigorous error analysis of several projection schemes for the approximation of the unsteady incompressible Navier-Stokes equations. The error analysis is accomplished by interpreting the respective projection schemes as second-order time discretizations of a perturbed system which approximates the Navier-Stokes equations. Numerical results in agreement with the error analysis are also presented.

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收藏

页码：1039 / 1065

页数：27

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