A generalized finite difference scheme for the 2-D shallow water equations

by Ben M. Dia, Leon M. S. Tine, Ababacar Diagne
Conference Proceedings Year: 2014

Bibliography

Ben M. Dia,  Leon M. S. Tine and Ababacar Diagne, A generalized finite difference scheme for the 2-D shallow water equations, CARI 2014.

Abstract

In this paper, we propose a generalized finite difference method for the two-dimensional nonlinear shallow equations. The space discretization uses the staggered grid C of Arakawa. Beside the implicit-explicit factor, the time discretization involves a balance ratio  of the spatial nodes. The stability analysis takes account the size of the parameters. We discuss the stabilizing properties of the scheme and present some numerical experiments.

ISSN:

2014

Keywords

Finite difference Shallow water equations Stability analysis