FINITE-ELEMENT APPROXIMATION OF VISCOUS FLOWS WITH VARYING DENSITY

被引：8

作者：

BERNARDI, C

LAVAL, F

METIVET, B

PERNAUDTHOMAS, B

机构：

[1] ELECTR FRANCE DER,IMA,MMN,F-92141 CLAMART,FRANCE

[2] UNIV PARIS 06,F-75252 PARIS 05,FRANCE

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1992年 / 29卷 / 05期

关键词：

VISCOUS FLOWS; VARYING DENSITY; FINITE ELEMENTS;

D O I：

10.1137/0729073

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the equations of a stationary viscous flow, when the density is a given function of the space variable. Two formulations are studied, according to whether the unknowns are the velocity and the pressure or the momentum and the pressure. In both cases, when the variation of the density is not too strong, the well-posedness of the problem and of its approximation by several standard finite elements is proved, and estimates for the error between the exact and discrete solutions are given. Some numerical tests which are in complete agreement with these results are presented.

引用

页码：1203 / 1243

页数：41

共 21 条

[1] Arnold D., 1984, CALCOLO, V21, P337, DOI 10.1007/bf02576171
[2] ERROR ESTIMATES FOR FINITE-ELEMENT METHOD SOLUTION OF THE STOKES PROBLEM IN THE PRIMITIVE VARIABLES
BERCOVIER, M
PIRONNEAU, O
[J]. NUMERISCHE MATHEMATIK, 1979, 33 (02) : 211 - 224
[3] BERNARDI C, 1985, MATH COMPUT, V44, P71, DOI 10.1090/S0025-5718-1985-0771031-7
[4] GENERALIZED INF-SUP CONDITIONS FOR TSCHEBYSCHEFF SPECTRAL APPROXIMATION OF THE STOKES PROBLEM
BERNARDI, C
CANUTO, C
MADAY, Y
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1988, 25 (06) : 1237 - 1271
[5] OPTIMAL FINITE-ELEMENT INTERPOLATION ON CURVED DOMAINS
BERNARDI, C
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1989, 26 (05) : 1212 - 1240
[6] BREZZI F, 1974, REV FR AUTOMAT INFOR, V8, P129
[7] CARUSO A, 1990, 2ND P WORLD C COMP M
[8] CHABARD JP, 1989, HE418914 EL FRANC RE
[9] Ciarlet P. G., 2002, FINITE ELEMENT METHO
[10] CLEMENT P, 1975, REV FR AUTOMAT INFOR, V9, P77

← 1 2 3 →