Parallel Multilevel Methods for Implicit Solution of Shallow Water Equations with Nonsmooth Topography on Cubed-sphere
Chao Yang (Institute of Software, Chinese Academy of Sciences)
Xiao-Chuan Cai (Department of Computer Science, University of Colorado at Boulder)
High resolution algorithms for the shallow water equations (SWE) on the sphere are very important for the modeling of the global climate. In this work, we introduce and study some highly scalable multilevel domain decomposition methods for the fully implicit (FI) solution of the nonlinear SWE discretized with a high order well-balanced finite volume method on the cubed-sphere. With the FI approach, the time step size is no longer limited by the stability condition, and with the multilevel preconditioners, good scalabilities are obtained on computers with a large number of processors.
Large Scale Simulations in CS&E, Numerical Algorithms for CS&E, Performance Analysis