Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

Numerical analysis of 3-D lid-driven cavity flows with different spanwise aspect ratios

Katsuya Ishiia,*, Tomonori Niheib, Shizuko Adachic
aNagoya University, Information Technology Center, Nagoya 464-8601, Japan bNagoya University, Dept. of Computational Science and Engineering, Nagoya 464-8603, Japan cRIKEN, Wako, 351-0198, Japan
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ABSTRACT
The incompressible vortical flows in three-dimensional lid-driven square cavities with different spanwise aspect ratios are studied using a combined compact finite difference (CCD) scheme with high accuracy and high resolution. The results show that the bifurcation of the flow structures at the Reynolds number Re = 850 occurs at the spanwise aspect ratio between 4 and 5. For the cavities with longer spans, the tori of streamlines localized near the symmetric plane are presented, but, on the other hand, the global flows are observed along the central axis of the cavity.

Keywords:  Incompressible flow; Lid-driven cavity; Spanwise aspect ratio; Cell structure; Secondary vortical flow; Torus of streamline; Combined compact difference
* Corresponding author. Tel.: + 81 52 789 4382; Fax: + 81 52 789 4384; E-mail: ishii@itc.nagoya-u.ac.jp