FINITE-ELEMENT FOR THE NUMERICAL-SOLUTION OF VISCOUS INCOMPRESSIBLE FLOWS

被引：120
作者：
BERCOVIER, M
ENGELMAN, M
机构：
[1] HEBREW UNIV JERUSALEM, INST MATH, JERUSALEM 91000, ISRAEL
[2] HEBREW UNIV JERUSALEM, GRAD SCH APPL SCI, JERUSALEM 91000, ISRAEL
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 1979年 / 30卷 / 02期
关键词：
D O I：
10.1016/0021-9991(79)90098-6
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A finite element of the penalization type for the solution of incompressible viscous Navier-Stokes equations using an isoparametric parabolic element is presented. The penalization of the continuity equation is implemented by means of a reduced integration technique, thus eliminating the pressure unknown from the system of equations to be solved. The superiority of the nine-node isoparametric quadrilateral element over the eight-node element is discussed. Stability and convergence properties of the method are illustrated by means of various numerical examples. © 1979.
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页码：181 / 201
页数：21
相关论文
共 22 条
[1]  
BERCOVIER M, 1976, THESIS ROUEN
[2]  
BERCOVIER M, UNPUBLISHED
[3]  
BREZZI F, 1974, REV FR AUTOMAT INFOR, V8, P129
[4]  
BURGRAFF OR, 1966, J FLUID MECH, V24
[5]  
Chorin A. J., 1967, J COMPUTATIONAL PHYS, V2
[6]  
CIARLET PG, 1972, MATH F FEM APPLICATI
[7]  
CROUZEIX M, 1973, CONFORMING NON CONFO
[8]  
FALK RS, 1975, ADV COMPUTER METHODS
[9]  
FORTIN M, 1972, THESIS PARIS
[10]  
Fried I., 1974, International Journal of Solids and Structures, V10, P993, DOI 10.1016/0020-7683(74)90007-9
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