New algorithms of numerical–statistical modelling of radiative transfer through stochastic mediums and radiation models homogenization

Abstract

AbstractNew algorithms for statistical modelling of radiation transfer through stochastic exponentially correlated media are constructed. For this purpose, a special geometrical implementation of the ‘maximum cross-section method’ is developed, which allows us to take into account the absorption of radiation with a weight exponential factor. Asymptotic estimates of the parameters of the homogenized radiation model are constructed relative to the size of the medium. A special ‘distributive’ method of pseudo-random numbers generation used in the paper allows us to perform a comparative analysis of simulation results on the base of the corresponding correlation of statistical estimates.