sphereCLAW: Hyperbolic PDEs on the surface of a sphere
Written by James A. Rossmanith
Description: This code is described in detail in the following paper:
J.A. Rossmanith, A wave propagation method for hyperbolic systems on the sphere,
Journal of Computational Physics, Volume 213, pp. 629--658, 2006.
sphereCLAW is an extension of the CLAWMAN
code developed by Bale and Rossmanith,
which is in turn an extension of the
CLAWPACK (version 4.3)
code developed by
LeVeque. The code uses a high-resolution shock-capturing
finite volume method for solving various hyperbolic
PDEs that are confined to the surface of a sphere.
Examples include the advection and shallow water equations,
which are important in large-scale atmospheric modeling.
Another example is the shallow water MHD system, which
is important in solar physics for modeling the solar
tachocline. The numerical grid used on the sphere is
the six-grid cubed sphere approach. Below is
a picture of the basic grid.
Procedure for downloading sphereCLAW
Examples included in this code