Convergence rate and stability of ocean-atmosphere coupling schemes with a zero-dimensional climate model.

Abstract

A semi-implicit approach is considered which generalizes previously suggested schemes. Its convergence and stability are examined by application to the zero-dimensional climate model. It may be unstable if it is made too explicit. On the other hand, the fully implicit approach greatly slows down the response of the mixed layer unless a very short coupling interval is used. With some fraction about equal to 0.05 of the atmosphere-ocean heat transfer made implicit, the asynchronous coupling solutions are close to the correct solution even if a large coupling interval is used. -from Author