LINEAR AND NONLINEAR ITERATIVE METHODS FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

被引：19

作者：

CLIFT, SS

FORSYTH, PA

机构：

[1] Department of Computer Science, University of Waterloo, Waterloo, Ontario

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 1994年 / 18卷 / 03期

关键词：

NAVIER-STOKES; NONLINEAR ITERATION; PRECONDITIONED CONJUGATE GRADIENT;

D O I：

10.1002/fld.1650180302

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this study, the discretized finite volume form of the two-dimensional, incompressible Navier-Stokes equations is solved using both a frozen coefficient and a full Newton non-linear iteration. The optimal method is a combination of these two techniques. The linearized equations are solved using a conjugate-gradient-like method (CGSTAB). Various types of preconditioning are developed. Completely general sparse matrix methods are used. Investigations are carried out to determine the effect of finite volume cell anisotropy on the preconditioner. Numerical results are given for several test problems.

引用

页码：229 / 256

页数：28

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