Vol. 12, issue 03, article # 5

pdf Pomraning G. S. Cloud-radiation Interactions: the Titov and other Models. // Atmospheric and oceanic optics. 1999. V. 12. No. 03. P. 204-210.
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Abstract:

We discuss the treatment of radiative transfer through a two-component discrete stochastic mixture.  A broken cloud field can be modeled as such a stochastic mixture, with the clouds and clear sky representing the two components.  The integral equation approach of Titov for a Markovian mixture is shown to be equivalent to a differential model introduced in the kinetic theory literature.  Simplifications and extensions of this model are also discussed.  The simplifications include a renormalized equation of transfer, as well as various diffusive models.  The extensions involve more accurate descriptions utilizing additional radiative transfer equations, as well as allowance for non-Markovian mixing statistics.