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RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 11, 113-137, 1996
Solution of the generalized transport equation with a peak-shaped indicatrix by the Monte Carlo method
V. S. Antyufeev
Abstract
Radiation transfer in stochastic media may be described by deterministic integral equations of the the second kind. When calculating the characteristics of a light field by the Monte Carlo method we obtain a large statistical error if the scattering indicatrix in this transport equation is peak-shaped. In this work we propose statistical estimates and modifications of the modelling process which allow us to substantially increase the efficiency of calculations. The results obtained may be used to solve three-dimensional problems and allow us to apply other optimizing procedures. We consider the application of the results to the calculation of a flux of scattered solar radiation reflected from a plane layer of broken clouds. We obtain the expressions for modelling densities and give the results of numerical experiments carried out to check the efficiency of the proposed procedure for calculating the flux.
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