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:
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 non-uniformly-stretch 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 Saint-Venant
-
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 half-Poiseuille flow solved using the
multi-layer Saint-Venant 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
- Pierre-Yves 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). |