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Comparison of two statistical approaches to a solution of the stochastic radiative transfer equation I. V. Kirnos, M. V. Tarasenkov, V. V. Belov

By: Kirnos, I. VContributor(s): Tarasenkov, M. V | Belov, Vladimir VasilevichMaterial type: ArticleArticleSubject(s): Монте-Карло метод | радиационный перенос | стохастическая среда | фотоныGenre/Form: статьи в журналах Online resources: Click here to access online In: Russian physics journal Vol. 58, № 12. P. 1767-1770Abstract: The method of direct simulation of photon trajectories in a stochastic medium is compared with the method of closed equations suggested by G. A. Titov. A comparison is performed for the model of the stochastic medium in the form of a cloudy field of constant thickness comprising rectangular clouds whose boundaries are determined by a stationary Poisson flow of points. It is demonstrated that the difference between the calculated results can reach 20–30%; however, in some cases (for some sets of initial data) the difference is limited by 5% irrespective of the cloud cover index.
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The method of direct simulation of photon trajectories in a stochastic medium is compared with the method of closed equations suggested by G. A. Titov. A comparison is performed for the model of the stochastic medium in the form of a cloudy field of constant thickness comprising rectangular clouds whose boundaries are determined by a stationary Poisson flow of points. It is demonstrated that the difference between the calculated results can reach 20–30%; however, in some cases (for some sets of initial data) the difference is limited by 5% irrespective of the cloud cover index.

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