ON THE DOWNSTREAM BOUNDARY-CONDITIONS FOR THE VORTICITY-STREAM FUNCTION FORMULATION OF 2-DIMENSIONAL INCOMPRESSIBLE FLOWS

被引:14
作者
TEZDUYAR, TE [1 ]
LIOU, J [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
10.1016/0045-7825(91)90133-Q
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Downstream boundary conditions equivalent to the homogeneous form of the natural boundary conditions associated with the velocity-pressure formulation of the Navier-Stokes equations are derived for the vorticity-stream function formulation of two-dimensional incompressible flows. Of particular interest are the zero normal and shear stress conditions at a downstream boundary.
引用
收藏
页码:207 / 217
页数:11
相关论文
共 9 条
[1]   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
[2]   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
[3]  
GRESHO PM, 1988, UCRL99503 LAWR LIV N
[5]  
PIRONNEAU O, CR ACAD SCI I-MATH, V303, P403
[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]   SOLUTION TECHNIQUES FOR THE VORTICITY-STREAMFUNCTION FORMULATION OF 2-DIMENSIONAL UNSTEADY INCOMPRESSIBLE FLOWS [J].
TEZDUYAR, TE ;
LIOU, J ;
GANJOO, DK ;
BEHR, M .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1990, 11 (05) :515-539
[9]   INCOMPRESSIBLE-FLOW COMPUTATIONS BASED ON THE VORTICITY STREAM FUNCTION AND VELOCITY PRESSURE FORMULATIONS [J].
TEZDUYAR, TE ;
LIOU, J ;
GANJOO, DK .
COMPUTERS & STRUCTURES, 1990, 35 (04) :445-472