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
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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