On the efficiency of the maximum cross section method in radiation transport theory

We consider two versions of the maximum cross section method for the solutions of the stationary equation of radiative transfer in dimensional inhomogeneous medium. Both are based on the application Monte-Carlo method to the summation of the Neumann series for the solution transport equation. First...

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Bibliographic Details
Main Authors: Igor Vasilievich Prokhorov, Anton Sergeevich Zhuplev
Format: Article
Language:Russian
Published: Institute of Computer Science 2013-08-01
Series:Компьютерные исследования и моделирование
Subjects:
Online Access:http://crm.ics.org.ru/uploads/crmissues/crm_2013_4/13406.pdf
Description
Summary:We consider two versions of the maximum cross section method for the solutions of the stationary equation of radiative transfer in dimensional inhomogeneous medium. Both are based on the application Monte-Carlo method to the summation of the Neumann series for the solution transport equation. First modification is traditional and second is based on the use of branching Markov chains. We carried out numerical comparison of these algorithms.
ISSN:2076-7633
2077-6853