G. A. Mikhailov, G. Z. Lotova, “Monte Carlo methods for estimating the probability distributions of criticality parameters of particle transport in a randomly perturbed medium”, Zh. Vychisl. Mat. Mat. Fiz., 2018, Volume 58, Number 11,Pages <nobr>1900

This article is cited in 2 papers

Monte Carlo methods for estimating the probability distributions of criticality parameters of particle transport in a randomly perturbed medium

G. A. Mikhailov^ab, G. Z. Lotova^ab

^a Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
^b Novosibirsk State University, Novosibirsk, Russia

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.

Key words: Monte Carlo method, statistical modeling, transport theory, effective particle multiplication factor.

UDC: 519.676

DOI: 10.31857/S004446690003541-6