A new derivation of the shallow water equations in geographical coordinates and their application to the global barotropic ocean model (the DEBOT model)

The purpose of this paper is to present a new global barotropic ocean model-the DEBOT model. The model is based on the shallow water equations which we newly express in geographical coordinates. The derivation includes the boundary conditions and the Reynolds tensor in a form used commonly in oceanography. The numerical model employs finite differences on an Arakawa-C grid in space and a generalized forward-backward scheme in time with a combined third-order Adams-Bashforth and fourth-order Adams-Moulton step. The validity of the model is demonstrated by the tests based on conservation integral invariants. As a practical application, we present ocean circulation simulations generated by the lunisolar tidal force.