The accuracy of the fractional step method

被引：76

作者：

Strikwerda, JC

Lee, YS

机构：

[1] Univ Wisconsin, Dept Comp Sci, Madison, WI 53706 USA

[2] Manchester Coll, Dept Math & Comp Sci, N Manchester, IN 46962 USA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1999年 / 37卷 / 01期

关键词：

incompressible Navier-Stokes; fractional step method; accuracy; boundary conditions;

D O I：

10.1137/S0036142997326938

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze the accuracy of the fractional step method of Kim and Moin [J. Comput. Phys., 59 (1985), pp. 308-323] for the incompressible Navier-Stokes equations. We show that the boundary conditions cannot be exactly satisfied in the projection step and that this limits the accuracy of the method. We also show that the pressure in any projection method can be at best first-order accurate. Our analysis is simpler and more direct than the previous analyses of this method. We also show that there is no numerical boundary layer for velocity or pressure, but there is one for the auxiliary pressure variable.

引用

页码：37 / 47

页数：11

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