These figures show advection on the sphere using a latitude-longitude grid. Refinement is only not allowed near the poles. The finest level grid cells near the equator are roughly the same size as the coarsest level grid cells at the poles.
The test shown here is advection over the poles (solid body rotation), with a return to the initial position at time 1. Target pattern initial data is advected. On the latitude-longitude grid the pattern should move down in the center, spread out to the sides, move up along the sides and come back together at the top.
For a few more details, see sphere.ps
Time 0:
Time 0.15:
Time 0.25 (at the south pole):
Time 0.35:
Time 0.5 (half way around):
Time 0.75 (at the north pole):
Time 1.0 (all the way around):
