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 alongchannel acceleration a. The theoretical solution is given by:
Figure 87 illustrates the norms of the error between
the computed and theoretical solutions as functions of spatial
resolution.
Figure 87: Convergence of the error norms as functions
of resolution (number of grid points across the channel). 
6.2.1 PASS:
Poiseuille flow with metric

Author
 Stéphane Popinet
 Command
 sh ../poiseuille.sh metric.gfs
 Version
 111025
 Required files
 metric.gfs (view) (download)
error.ref
 Running time
 11 seconds
A simple Poiseuille flow but using a nonuniformlystretch metric
across the channel.
Figure 88 illustrates the norms of the error between
the computed and theoretical solutions as functions of spatial
resolution.
Figure 88: Convergence of the error norms as functions
of resolution (number of grid points across the channel). 
6.2.2 PASS:
Poiseuille flow with multilayer SaintVenant

Author
 Stéphane Popinet
 Command
 sh river.sh river.gfs
 Version
 120620
 Required files
 river.gfs (view) (download)
river.sh error.ref
 Running time

Similar test case but for a halfPoiseuille flow solved using the
multilayer SaintVenant solver.
Figure 89: Convergence of the error norms as functions
of resolution (number of grid points in the channel depth). 
6.2.3 PASS:
Bagnold flow of a granular material

Author
 PierreYves Lagrée
 Command
 sh ../poiseuille.sh bagnold.gfs
 Version
 100416
 Required files
 bagnold.gfs (view) (download)
error.ref
 Running time
 40 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 90 illustrates the norms of the error between
the computed and theoretical solutions as functions of spatial
resolution.
Figure 90: Convergence of the error norms as functions
of resolution (number of grid points across the channel). 