Natural convection flow in a tall enclosure using a multigrid method

被引:10
作者
Ben Cheikh, Nader [1 ]
Ben Beya, Brahim [1 ]
Lili, Taieb [1 ]
机构
[1] Fac Sci Tunis, Dept Phys, El Manar II 2092, Tunisia
来源
COMPTES RENDUS MECANIQUE | 2007年 / 335卷 / 02期
关键词
computational fluid mechanics; natural convection flow; multigrid technique;
D O I
10.1016/j.crme.2007.01.004
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A two-dimensional numerical study of natural convection flow in an air filled enclosure of aspect ratio A = 9 is investigated in this Note. The numerical method is based on a second order finite volume scheme and a projection method. A full multigrid technique is used to accelerate the convergence of the Poisson pressure equation. The multigrid procedure is briefly described and the critical Rayleigh number above which the flow becomes unsteady is determined.
引用
收藏
页码:113 / 118
页数:6
相关论文
共 12 条
[1]   Convergence analysis of a finite element projection/Lagrange-Galerkin method for the incompressible Navier-Stokes equations [J].
Achdou, Y ;
Guermond, JL .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2000, 37 (03) :799-826
[2]  
[Anonymous], 1980, SERIES COMPUTATIONAL, DOI [DOI 10.1201/9781482234213, 10.1201/9781482234213]
[3]  
Barrett R., 1994, Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods, V2nd ed.
[4]   Towards algebraic multigrid for elliptic problems of second order [J].
Braess, D .
COMPUTING, 1995, 55 (04) :379-393
[5]  
BRANDT A, 1977, MATH COMPUT, V31, P333, DOI 10.1090/S0025-5718-1977-0431719-X
[6]   Computational predictability of time-dependent natural convection flows in enclosures (including a benchmark solution) [J].
Christon, MA ;
Gresho, PM ;
Sutton, SB .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2002, 40 (08) :953-980
[7]  
Hackbusch W., 1985, MULTIGRID METHODS AP, DOI 10.1007/978-3-662-02427-0
[8]   FINITE VOLUME MULTIGRID PREDICTION OF LAMINAR NATURAL-CONVECTION - BENCH-MARK SOLUTIONS [J].
HORTMANN, M ;
PERIC, M ;
SCHEUERER, G .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1990, 11 (02) :189-207
[9]   Simulation of time-dependent flow in cavities with the additive-correction multigrid method .1. Mathematical formulation [J].
Nobile, E .
NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 1996, 30 (03) :341-350
[10]  
PEYRET R, 1983, METHODS FLUID FLOW