A stratified dispersive wave model with high-order nonreflecting boundary conditions

Abstract

A layered-model in introduced to approximate the effects of stratification on linearized shallow wave equations. This time-dependent dispersive wave model is appropriate for describing geophysical (e.g. atmmospheric or oceanic) dynamics. However, computational models that embrace these very large domains that are global in magnitude can quickly overwhelm computer capabilities. The domain is therefore truncated via artificial boundaries, and nonreflecting boundary conditions (NRBC) devised by Higdon are imposed. A scheme previously proposed by Neta and Givoli that easily discretizes high-order Higdon NRBCs is used. The problem is solved by finite difference (FD) methods. Numerical examples follow the discussion.