ITERATIVE SOLUTION OF THE STREAM FUNCTION VORTICITY-FORMULATION OF THE STOKES PROBLEM, APPLICATIONS TO THE NUMERICAL-SIMULATION OF INCOMPRESSIBLE VISCOUS-FLOW

被引：35
作者：
DEAN, EJ
GLOWINSKI, R
PIRONNEAU, O
机构：
[1] UNIV PARIS 06, F-75005 PARIS, FRANCE
[2] INST NATL RECH INFORMAT & AUTOMAT, F-78153 LE CHESNAY, FRANCE
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1991年 / 87卷 / 2-3期
关键词：
D O I：
10.1016/0045-7825(91)90003-O
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We discuss in this article the numerical solution of the Stokes problem in its stream function-vorticity formulation by a preconditioned conjugate gradient algorithm. The preconditioning operator is constructed via Fourier analysis and leads to an algorithm which is naturally suited to finite element implementations. In this article we also discuss the application of this new Stokes/biharmonic solver to the numerical solution of the Navier-Stokes equations modelling unsteady incompressible viscuous flow.
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页码：117 / 155
页数：39
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