HIGHER-ORDER SOLUTIONS OF SQUARE DRIVEN CAVITY FLOW USING A VARIABLE-ORDER MULTIGRID METHOD

被引:31
|
作者
NISHIDA, H
SATOFUKA, N
机构
[1] Department of Mechanical and System Engineering, Kyoto Institute of Technology, Kyoto, 606, MatsugasakiSakyo-ku
关键词
D O I
10.1002/nme.1620340215
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A new higher-order method is devised for the numerical simulation of square driven cavity flows. The spatial derivatives of the Navier-Stokes equations are discretized by means of the modified differential quadrature (MDQ) method. The resulting system of ordinary differential equations (ODEs) in time is then integrated by the classical fourth-order Runge-Kutta-Gill (RKG) scheme. The elliptic (Poisson) equation is solved by means of a new variable-order multi-grid method. The numerical simulations of the square driven cavity flows are carried out with spatial order of accuracy up to 10th order. The results suggest that the higher-order solutions are more reliable than the well-known results obtained by Ghia et al.
引用
收藏
页码:637 / 653
页数:17
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