A 4TH-ORDER-ACCURATE DIFFERENCE APPROXIMATION FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

被引：42

作者：

HENSHAW, WD ^{[1
]}

KREISS, HO ^{[1
]}

REYNA, LGM ^{[1
]}

机构：

[1] UNIV CALIF LOS ANGELES,DEPT MATH,LOS ANGELES,CA 90025

来源：

COMPUTERS & FLUIDS | 1994年 / 23卷 / 04期

关键词：

Approximation theory;

D O I：

10.1016/0045-7930(94)90053-1

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We discuss fourth-order-accurate difference approximations for parabolic systems and for the incompressible Navier-Stokes equations. A general principle for deriving numerical boundary conditions for higher-order-accurate difference schemes is described. Some difference approximations for parabolic systems are analyzed for stability and accuracy. The principle is used to derive stable and accurate numerical boundary conditions for the incompressible Navier-Stokes equations. Numerical results are given from a fourth-order-accurate scheme for the incompressible Navier-Stokes equations on overlapping grids in two- and three-space dimensions.

引用

页码：575 / 593

页数：19

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