Abstract
In this work we consider a model including the coupling surface/deep ocean first proposed in [20]. It is a diagnostic model which can be used to understand the long-term climate evolution. The unknown is the temperature over each parallel and the effect of the deep ocean on the Earth surface temperature is considered. One of the difficulties of this problem is the dynamic and diffusive boundary condition. The purpose of this work is to approximate the solutions by a finite volume scheme. We also compare the solution of the studied model with the solution of an energy balance model without deep ocean effect.
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