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Stochastic Radiative Transfer in Partially Cloudy Atmosphere

F. MalvagiScience Applications International Corporation, La Jolla, California

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R. N. ByrneScience Applications International Corporation, La Jolla, California

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G. C. PomraningSchool of Engineering and Applied Science, University of California, Los Angeles, Los Angeles, California

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R. C. J. SomervilleScripps Institution of Oceanography, University of California, San Diego, La Jolla, California

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Abstract

A radiation treatment of the broken-cloud problem is presented, based upon various stochastic models of the equation of radiative transfer that consider the clouds and clear sky as a two-component mixture. These models, recently introduced in the kinetic theory literature, allow for non-Markovian statistics as well as both vertical and lateral variations in the cloudiness. Numerical results are given that compare different models of stochastic radiative transport and that point out the importance of treating the broken-cloud problem as a stochastic process. It is also shown that an integral Markovian model proposed within the atmospheric radiation community by Titov is entirely equivalent to a special case of a simple low-order different model. The differential form of Titov's result should be easier than the integral form to implement in any general circulation model.

Abstract

A radiation treatment of the broken-cloud problem is presented, based upon various stochastic models of the equation of radiative transfer that consider the clouds and clear sky as a two-component mixture. These models, recently introduced in the kinetic theory literature, allow for non-Markovian statistics as well as both vertical and lateral variations in the cloudiness. Numerical results are given that compare different models of stochastic radiative transport and that point out the importance of treating the broken-cloud problem as a stochastic process. It is also shown that an integral Markovian model proposed within the atmospheric radiation community by Titov is entirely equivalent to a special case of a simple low-order different model. The differential form of Titov's result should be easier than the integral form to implement in any general circulation model.

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