Wave Propagation Software, Computational Science, and Reproducible Research
by R. J. LeVeque

 

Figure 1:

   

Caption: Quadrilateral grids on the circle and the sphere. In each case the computational domain is a rectangular grid.

m-files:

• circlegrid.m ... mapc2p.m
• spheregrid.m ... mapc2m.m

Movies illustrating the mappings:

• Movie of the circle ... circlegridmovie.m
• Movie of the sphere ... spheregridmovie.m

For more information:
These mappings and related mappings are discussed further in the paper Logically Rectangular Grids and Finite Volume Methods for PDEs in Circular and Spherical Domains by Donna A. Calhoun, Christiane Helzel, and Randall J. LeVeque (In preparation)

Advection on the sphere:

• movie of advection on the sphere at constant angular velocity. 320x160 grid.
• movie of the same computation, shown in the rectangular computational domain.