Atmosphere-ocean coupling schemes in a one-diemensional climate model |
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| Authors: | Ji Jinjun |
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| Institution: | (1) Institute of Atmospheric Physics, Academia Sinica, 100011 Beijing |
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| Abstract: | In this paper, the coupling schemes of atmosphere-ocean climate models are discussed with one-dimensional advection equations.
The convergence and stability for synchronous and asynchronous schemes are demonstrated and compared.
Conclusions inferred from the analysis are given below. The synchronous scheme as well as the asynchronous-implicit scheme
in this model are stable for arbitrary integrating time intervals. The asynchronous explicit scheme is unstable under certain
conditions, which depend upon advection velocities and heat exchange parameters in the atmosphere and oceans. With both synchronous
and asynchronous stable schemes the discrete solutions converge to their unique exact ones. Advections in the atmosphere and
ocean accelerate the rate of convergence of the asynchronous-implicit scheme. It is suggusted that the asynchronous-implicit
coupling scheme is a stable and efficient method for most climatic simulations. |
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