A STUDY OF PENALTY ELEMENTS FOR INCOMPRESSIBLE LAMINAR FLOWS

被引:12
作者
DHATT, G [1 ]
HUBERT, G [1 ]
机构
[1] UNIV TECHNOL COMPIEGNE, DEPT GENIE MECAN, F-60206 COMPIEGNE, FRANCE
关键词
MATHEMATICAL MODELS - MATHEMATICAL TECHNIQUES - Finite Element Method;
D O I
10.1002/fld.1650060102
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
A finite element model is developed based on the penalty formulation to study incompressible laminar flows. The study includes a number of new quadrilateral and triangular elements for 2-dimensional flows and a number of new hexahedral and tetrahedral elements for 3-dimensional flows. An incremental Newton-Raphson method coupled with the Broyden method is used to solve the non-linear equations. Several numerical examples (colliding flow, cavity flow, etc. ) are presented to assess the efficiency of elements.
引用
收藏
页码:1 / 19
页数:19
相关论文
共 29 条
[1]   ERROR-BOUNDS FOR FINITE ELEMENT METHOD [J].
BABUSKA, I .
NUMERISCHE MATHEMATIK, 1971, 16 (04) :322-&
[2]  
BERCOVIER M, 1978, RAIRO-ANAL NUMER-NUM, V12, P211
[3]  
BREZZI F, 1974, REV FR AUTOMAT INFOR, V8, P129
[4]   ANALYTICAL AND NUMERICAL STUDIES OF STRUCTURE OF STEADY SEPARATED FLOWS [J].
BURGGRAF, OR .
JOURNAL OF FLUID MECHANICS, 1966, 24 :113-&
[5]  
COCHET JF, 1982, 4TH INT S FIN EL FLO
[6]  
COCHET JF, 1979, THESIS U COMPIEGNE F
[7]  
Dhatt G., 1984, FINITE ELEMENT METHO
[8]  
DHATT G, 1983, 3RD INT C NUM METH L
[9]   CONSISTENT VS REDUCED INTEGRATION PENALTY METHODS FOR INCOMPRESSIBLE MEDIA USING SEVERAL OLD AND NEW ELEMENTS [J].
ENGELMAN, MS ;
SANI, RL ;
GRESHO, PM ;
BERCOVIER, M .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1982, 2 (01) :25-42