PASS: Lid-driven cavity at Re=1000

Author: Stéphane Popinet
Command: sh lid.sh lid.gfs
Version: 0.6.4
Required files: lid.gfs (view) (download)
lid.sh xprofile yprofile xprof.ghia yprof.ghia
Running time: 6 minutes 24 seconds

The classical lid-driven cavity test case.

This example illustrates how to check for the convergence toward a stationary solution of an initially time-dependent problem.

The stationary solution obtained is illustrated on Figure 51.

Figure 51: Norm of the velocity for the stationary regime.

Velocity profiles are generated automatically and compared to the benchmark results of Ghia et al. [27] on Figures 52 and 53.

Figure 52: Vertical profile of the x-component of the velocity on the centerline of the box.

Figure 53: Horizontal profile of the y-component of the velocity on the centerline of the box.

Same test case but with an explicit scheme for the viscous term.