On the Stability of an Intermediate Coupled Ocean-Atmosphere Model

Abstract

The explicit finite difference scheme for solving an intermediate coupled ocean-atmosphere equations has been proposed and discussed. The discrete Fourier analysis within Gerschgorin circle theorem is applied to the stability analysis of this numerical model. The stability criterion that we obtained includes advection, rotation, dissipation, and friction terms, without any assumptions, which is also including the Courant-Friedrichs-Lewy (CFL) condition as a special case. Numerical sensitivity experiments are also carried out by varying the model parameters.