A Numerical Scheme for the Propagation of Internal Waves in an Oceanographic Model

Abstract

In this paper , we introduce a new reformulation of the Green-Naghdi model in the Camassa-Holm regime for the propagation of internal waves over a flat topography to improve the frequency dispersion of the original model. We develop a second order splitting scheme where the hyperbolic part of the system is treated with a high-order finite volume scheme and the dispersive part is treated with a finite difference approach. Numerical simulations are then performed to validate the model.