This article is cited in 7 papers

Effective averaging of stochastic radiative models based on Monte Carlo simulation

A. Yu. Ambos, G. A. Mikhailov

Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Lavrent'eva 6, Novosibirsk, 630090, Russia

Abstract: Based on the Monte Carlo simulation and probabilistic analysis, stochastic radiative models are effectively averaged; that is, deterministic models that reproduce the mean probabilities of particle passage through a stochastic medium are constructed. For this purpose, special algorithms for the double randomization and conjugate walk methods are developed. For the numerical simulation of stochastic media, homogeneous isotropic Voronoi and Poisson mosaic models are used. The parameters of the averaged models are estimated based on the properties of the exponential distribution and the renewal theory.

Key words: Poisson ensemble, random field, correlation length, radiation transfer, transmission function, penetration probability, maximum cross section method, double randomization.

UDC: 519.676

Received: 06.07.2016

DOI: 10.7868/S0044466916050057

 English version: Computational Mathematics and Mathematical Physics, 2016, 56:5, 881–893

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