Logically Rectangular Grids and Finite Volume Methods for PDEs in Circular and Spherical Domains
by Donna A. Calhoun, Christiane Helzel, and Randall J. LeVeque, Submitted, 2006.

Figure 8.5: Shallow water equations with a dam break in a starlike domain.

Color animation

Directory listing

This problem can also be solved using AMR: amr/www/index.html
Results on a 200x200 mapped grid:

CLAWPACK Home page