This article is cited in 4 papers

MATHEMATICS

New correlative randomized algorithm for estimating the influence of the medium stochasticity on particle transport

G. A. Mikhailov^ab, I. N. Medvedev<sup>ab

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

Abstract: A new correlative randomized algorithm is constructed by applying simple randomization of the majorant cross section (alignment, delta tracking) algorithm and using a one-dimensional distribution and the correlation length of the stochastic medium. The value of this parameter can be adjusted using simple test analysis. The performed computations have confirmed the practical efficiency of the new algorithm.

Keywords: correlative randomized algorithm, correlation length, stochastic medium, majorant cross section method (delta tracking), gamma radiation transport, computation cost.

UDC: 519.245

Received: 15.03.2021
Revised: 16.03.2021
Accepted: 04.04.2021

DOI: 10.31857/S2686954321030139

 English version: Doklady Mathematics, 2021, 103:3, 143–145

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