INCOMPRESSIBLE-FLOW COMPUTATIONS BASED ON THE VORTICITY STREAM FUNCTION AND VELOCITY PRESSURE FORMULATIONS

被引:46
作者
TEZDUYAR, TE [1 ]
LIOU, J [1 ]
GANJOO, DK [1 ]
机构
[1] UNIV MINNESOTA,MINNESOTA SUPERCOMP INST,MINNEAPOLIS,MN 55455
基金
美国国家科学基金会;
关键词
D O I
10.1016/0045-7949(90)90069-E
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Finite element procedures and computations based on the velocity-pressure and vorticitystream function formulations of incompressible flows are presented. Two new multi-step velocity-pressure formulations are proposed and are compared with the vorticity-stream function and one-step formulations. The example problems chosen are the standing vortex problem and flow past a circular cylinder. Benchmark quality computations are performed for the cylinder problem. The numerical results indicate that the vorticity-stream function formulation and one of the two new multi-step formulations involve much less numerical dissipation than the one-step formulation. © 1990.
引用
收藏
页码:445 / 472
页数:28
相关论文
共 10 条
[1]   NUMERICAL STUDY AND PHYSICAL ANALYSIS OF THE PRESSURE AND VELOCITY-FIELDS IN THE NEAR WAKE OF A CIRCULAR-CYLINDER [J].
BRAZA, M ;
CHASSAING, P ;
MINH, HH .
JOURNAL OF FLUID MECHANICS, 1986, 165 :79-130
[2]   NUMERICAL-METHODS FOR THE NAVIER-STOKES EQUATIONS - APPLICATIONS TO THE SIMULATION OF COMPRESSIBLE AND INCOMPRESSIBLE VISCOUS FLOWS [J].
BRISTEAU, MO ;
GLOWINSKI, R ;
PERIAUX, J .
COMPUTER PHYSICS REPORTS, 1987, 6 (1-6) :73-187
[3]   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
[4]  
Glowinski R., 1984, NUMERICAL METHODS NO
[5]  
GRESHO PM, SEMICONSISTENT MASS
[6]   PETROV GALERKIN METHODS ON MULTIPLY CONNECTED DOMAINS FOR THE VORTICITY STREAM FUNCTION FORMULATION OF THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS [J].
TEZDUYAR, TE ;
GLOWINSKI, R ;
LIOU, J .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1988, 8 (10) :1269-1290
[7]   FINITE-ELEMENT FORMULATION FOR THE VORTICITY-STREAM FUNCTION FORM OF THE INCOMPRESSIBLE EULER EQUATIONS ON MULTIPLY-CONNECTED DOMAINS [J].
TEZDUYAR, TE .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1989, 73 (03) :331-339
[8]   GROUPED ELEMENT-BY-ELEMENT ITERATION SCHEMES FOR INCOMPRESSIBLE-FLOW COMPUTATIONS [J].
TEZDUYAR, TE ;
LIOU, J .
COMPUTER PHYSICS COMMUNICATIONS, 1989, 53 (1-3) :441-453
[9]   PETROV-GALERKIN FORMULATIONS WITH WEIGHTING FUNCTIONS DEPENDENT UPON SPATIAL AND TEMPORAL DISCRETIZATION - APPLICATIONS TO TRANSIENT CONVECTION-DIFFUSION PROBLEMS [J].
TEZDUYAR, TE ;
GANJOO, DK .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1986, 59 (01) :49-71
[10]  
TEZDUYAR TE, 1989, FINITE ELEMENT ANAL, P836