Compact finite difference schemes for shallow-water ocean model
Abstract
In this paper, we test some high order numerical schemes on simple oceanic models. We first compare fourth-order and sixth-order compact schemes with the classical second-order centered scheme on the system of equations describing the inertia-gravity waves, and then we focus on the performances of the fourth-order compact scheme on oceanic typical processes, such as Munk boundary layer and shallow-water physics. Numerical analysis of the schemes, and many computational results are presented.