Numerical models of mosaic homogeneous isotropic random fields and problems of radiative transfer
Andrey Yurevich Ambos
Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Acad. Lavrentieva 6, Novosibirsk, Russia, 630090
Keywords: пуассоновский ансамбль, случайное поле, корреляционная длина, перенос излучения, метод максимального сечения, Poisson ensemble, random field, correlation function, radiative transfer, maximum cross-section method
Abstract
The new algorithms of statistical modeling of radiative transfer through different types of stochastic homogeneous isotropic media have been created. To this end a special geometric implementation of «the maximum cross-section method» has been developed. This implementation allows one to take into account the radiation absorption by the exponential multiplier factor. The dependence of a certain class of solution functionals of the radiative transfer equation on the correlation length and the field type is studied theoretically and by means of numerical experiments. The theorem about the convergence of these functionals to the corresponding functionals for an average field with decreasing the correlation length up to zero has been proved.
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