Logically Rectangular Grids and Finite Volume Methods for PDEs in Circular and Spherical Domains
by Donna A. Calhoun, Christiane Helzel, and Randall J. LeVeque, SIAM Review 50 (2008), 723-752.


The tar file circles.tar.gz contains the directories mentioned below.

Movies illustrating the mappings:

Figure 3.1:

Figure 3.2: (Full grid versions)

Figure 4.1:

Shallow water in starlike domain:

Advection on the sphere:

Shallow water on the sphere:

Acoustics in domain with circular inclusions:

Turing model, pattern formation on the sphere: