A VELOCITY PRESSURE STREAMLINE DIFFUSION FINITE-ELEMENT METHOD FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

被引：148

作者：

HANSBO, P ^{[1
]}

SZEPESSY, A ^{[1
]}

机构：

[1] NYU,COURANT INST MATH SCI,NEW YORK,NY 10012

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1990年 / 84卷 / 02期

关键词：

D O I：

10.1016/0045-7825(90)90116-4

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper a streamline diffusion finite element method is introduced for the time-dependent incompressible Navier-Stokes equations in a bounded domain in R2 and R3 in the case of high Reynolds number flow. An error estimate is proved and numerical results are given. The method is based on a mixed velocity-pressure formulation using the same finite element discretization of space-time for the velocity and the pressure spaces, which consist of piecewise linear functions, together with certain least-squares modifications of the Galerkin variational formulation giving added stability without sacrificing accuracy. © 1990.

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页码：175 / 192

页数：18

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