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

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.

Authors:

Ben M. Dia, Leon M. S. Tine and Ababacar Diagne

Keywords:

Finite difference, Shallow water equations, Stability analysis

Year:

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