Monte Carlo Methods for Estimating the Probability Distributions of Criticality Parameters of Particle Transport in a Randomly Perturbed Medium

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Abstract

Abstract: Parallelizable Monte Carlo algorithms are developed for estimating the probability moments of criticality parameters for transport of particles with multiplication in a random medium. For this purpose, new iterative estimates of the multiplication factor and recurrence representations of statistical estimates of moments are constructed by applying the double randomization method and the randomized projection method. The practical efficiency of the proposed approaches is confirmed by test results obtained using special randomized homogenization with an improved diffusion approximation for a multilayered ball.

Original languageEnglish
Pages (from-to)1828-1837
Number of pages10
JournalComputational Mathematics and Mathematical Physics
Volume58
Issue number11
DOIs
Publication statusPublished - 1 Nov 2018

Keywords

  • effective particle multiplication factor
  • Monte Carlo method
  • statistical modeling
  • transport theory
  • MODELS

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