EFFECTIVE DOWNSTREAM BOUNDARY-CONDITIONS FOR INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

被引:91
作者
BRUNEAU, CH [1 ]
FABRIE, P [1 ]
机构
[1] ENSAM,LEPT,URA 873,MONTPELLIER,FRANCE
关键词
BOUNDARY CONDITIONS; ARTIFICIAL BOUNDARY; INTERNAL FLOW; INCOMPRESSIBLE FLOWS;
D O I
10.1002/fld.1650190805
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The aim of this paper is to give open boundary conditions for the incompressible Navier-Stokes equations. From a weak formulation in velocity-pressure variables, some natural boundary conditions involving the traction or pseudotraction and inertial terms are established. Numerical experiments on the flow behind a cylinder show the efficiency of these conditions, which convey properly the vortices downstream. Comparisons with other boundary conditions for the velocity and pressure are also performed.
引用
收藏
页码:693 / 705
页数:13
相关论文
共 12 条
[1]  
BEGUE C, 1987, CR ACAD SCI I-MATH, V304, P23
[2]  
BEGUE C, 1988, PITMAN RES NOTES MAT, V181, P179
[3]  
BRUNEAU CH, UNPUB NEW EFFICIENT
[4]   MIXED-FINITE ELEMENT APPROXIMATION OF STOKES TYPE PROBLEMS [J].
CONCA, C .
NUMERISCHE MATHEMATIK, 1984, 45 (01) :75-91
[5]   EVALUATION OF THE DRAG FORCE BY INTEGRATING THE ENERGY-DISSIPATION RATE IN STOKES-FLOW FOR 2D DOMAINS USING THE FEM [J].
GANESH, RK .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1991, 13 (05) :557-578
[7]  
HALPERN L, 1986, MATH COMPUT, V46, P425, DOI 10.1090/S0025-5718-1986-0829617-8
[8]   ARTIFICIAL BOUNDARY-CONDITIONS FOR INCOMPRESSIBLE VISCOUS FLOWS [J].
HALPERN, L ;
SCHATZMAN, M .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1989, 20 (02) :308-353
[9]  
PEYRET R, 1982, J MEC THEOR APPL, V1, P467
[10]  
PIRONNEAU O, 1986, CR ACAD SCI I-MATH, V303, P403