STABILIZED FINITE-ELEMENT METHODS .2. THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

被引:585
作者
FRANCA, LP [1 ]
FREY, SL [1 ]
机构
[1] UNIV FED FLUMINENSE,INST MATEMAT,DEPT COMPUTACAO,BR-24210 NITEROI,RJ,BRAZIL
关键词
D O I
10.1016/0045-7825(92)90041-H
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Stabilized methods are proposed and analyzed for a linearized form of the incompressible Navier-Stokes equations. The methods are extended and tested for the nonlinear model. The methods combine the good features of stabilized methods already proposed for the Stokes flow and for advective-diffusive flows. These methods also generalize previous works restricted to low-order interpolations, thus allowing any combination of velocity and continuous pressure interpolations. A careful design of the stability parameters is suggested which considerably simplifies these generalizations.
引用
收藏
页码:209 / 233
页数:25
相关论文
共 35 条
[1]  
Arnold D., 1984, CALCOLO, V21, P337, DOI 10.1007/bf02576171
[2]   A UNIFORMLY ACCURATE FINITE-ELEMENT METHOD FOR THE REISSNER-MINDLIN PLATE [J].
ARNOLD, DN ;
FALK, RS .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1989, 26 (06) :1276-1290
[3]  
ARNOLD DN, 1990, IN PRESS MAT APL COM
[4]   FINITE-ELEMENT METHOD WITH LAGRANGIAN MULTIPLIERS [J].
BABUSKA, I .
NUMERISCHE MATHEMATIK, 1973, 20 (03) :179-192
[5]   A COMPARISON BETWEEN THE MINIELEMENT AND THE PETROV-GALERKIN FORMULATIONS FOR THE GENERALIZED STOKES PROBLEM [J].
BANK, RE ;
WELFERT, BD .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1990, 83 (01) :61-68
[6]   A RELATIONSHIP BETWEEN STABILIZED FINITE-ELEMENT METHODS AND THE GALERKIN METHOD WITH BUBBLE FUNCTIONS [J].
BREZZI, F ;
BRISTEAU, MO ;
FRANCA, LP ;
MALLET, M ;
ROGE, G .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1992, 96 (01) :117-129
[7]   STABILIZED MIXED METHODS FOR THE STOKES PROBLEM [J].
BREZZI, F ;
DOUGLAS, J .
NUMERISCHE MATHEMATIK, 1988, 53 (1-2) :225-235
[8]  
BREZZI F, 1974, REV FR AUTOMAT INFOR, V8, P129
[9]  
Brezzi F., 1984, NOTES NUMERICAL FLUI, V10, P11, DOI DOI 10.1007/978-3-663-14169-3_2
[10]   STREAMLINE UPWIND PETROV-GALERKIN FORMULATIONS FOR CONVECTION DOMINATED FLOWS WITH PARTICULAR EMPHASIS ON THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS [J].
BROOKS, AN ;
HUGHES, TJR .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1982, 32 (1-3) :199-259