Effective averaging of stochastic radiative models based on Monte Carlo simulation

被引：7

作者：

Ambos, A. Yu. ^{[1
]}

Mikhailov, G. A. ^{[1
]}

机构：

[1] Russian Acad Sci, Siberian Branch, Inst Computat Math & Math Geophys, Pr Akad Lavrenteva 6, Novosibirsk 630090, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2016年 / 56卷 / 05期

基金：

俄罗斯基础研究基金会;

关键词：

Poisson ensemble; random field; correlation length; radiation transfer; transmission function; penetration probability; maximum cross section method; double randomization;

D O I：

10.1134/S0965542516050055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：881 / 893

页数：13

共 12 条

[1] Statistical simulation of an exponentially correlated many-dimensional random field [J].