Developing fast and scalable implicit methods for shallow<br/><br/>water equations on cubed-sphere

Friday, December 3, 2010 - 9:00am - 9:45am
Keller 3-180
Xiao-Chuan Cai (University of Colorado)
We are interested in solving coupled systems of partial
differential equations on computers with a large number of processors. With some combinations of domain decomposition and multigrid methods, one can easily
design algorithms that are highly scalable in terms of the
number of linear and nonlinear iterations. However, if the goal is to minimize the
total compute time and keep the near ideal scalability at the
same time,
then the task is more difficult. We discuss some recent
experience in
solving the shallow water equations on the sphere for the
modeling of
global climate.

This is a joint work with C. Yang.