Parallel computation for shallow water flow: A domain decomposition approach

Abstract

This paper describes a strategy for the parallelization of a finite element code for the numerical simulation of shallow water flow. The numerical scheme adopted for the discretization of the equations in the scalar algorithm is briefly described, with emphasis on the aspects concerning its porting to a parallel architecture. The parallelization strategy is of the domain decomposition type: the implicit computational kernel of the scheme, a Poisson problem, is solved by an additive Schwarz preconditioning technique within conjugate gradient iterations. Both the theoretical and the implementation aspects of the domain decomposition method are described as applied in the present context. Finally, some computational examples are shown and discussed.