Previous Up Next

3.1  PASS: Convergence of the Godunov advection scheme

Author
Stéphane Popinet
Command
sh advection.sh advection.gfs
Version
0.8.0
Required files
advection.gfs (view) (download)
advection.sh error.ref order.ref
Running time
6 minutes 37 seconds

A non-trivial initial tracer distribution is advected by a constant velocity field corresponding to a solid rotation around the center of the domain. The tracer field after one revolution is compared to the initial tracer field to compute the error norms.

Figure 29 and 30 illustrate the convergence of the solution with increased resolution. Close to second-order convergence is obtained.


Figure 29: Evolution of the error as a function of resolution.


Figure 30: Corresponding convergence order.


Previous Up Next