PASS: Poiseuille flow

6.2 PASS: Poiseuille flow

Author: Stéphane Popinet
Command: sh poiseuille.sh poiseuille.gfs
Version: 100416
Required files: poiseuille.gfs (view) (download)
poiseuille.sh error.ref
Running time: 4 seconds

A simple parabolic Poiseuille flow in a periodic channel with a constant along-channel acceleration a. The theoretical solution is given by:

u(y)=

2ν

(1/4−y²)

Figure 65 illustrates the norms of the error between the computed and theoretical solutions as functions of spatial resolution.

Figure 65: Convergence of the error norms as functions of resolution (number of grid points across the channel).

6.2.1 PASS: Bagnold flow of a granular material

Author: Pierre-Yves Lagrée
Command: sh ../poiseuille.sh bagnold.gfs
Version: 100416
Required files: bagnold.gfs (view) (download)
error.ref
Running time: 42 seconds

The flow of a granular material down an inclined plane is simulated using a "µ(I)" rheology. The computed velocity profile is compared with Bagnold’s theoretical solution. Figure 66 illustrates the norms of the error between the computed and theoretical solutions as functions of spatial resolution.

Figure 66: Convergence of the error norms as functions of resolution (number of grid points across the channel).