MODELING METHODS COMPARATIVE ANALYSIS OF THE PARTICLES TRANSPORT IN THE INHOMOGENEOUS MEDIUM

Sergey A. Brednikhin; Eduard V. Usov; Sergey I. Lezhnin

MODELING METHODS COMPARATIVE ANALYSIS OF THE PARTICLES TRANSPORT IN THE INHOMOGENEOUS MEDIUM

Sergey A. Brednikhin

1. Novosibirsk`s branch of Nuclear Safety Institute of the Russian Academy of Sciences Novosibirsk, Russia

Eduard V. Usov

1. Novosibirsk State University Novosibirsk, Russian Federation

Sergey I. Lezhnin

1. Institute of Thermophysics SB RAS Novosibirsk, Russian Federation

The material was received by the Editorial Board: 04.05.2009

Different ways for calculation critical parameters of homogeneous ball are considered in this article. Processes of elastic dispersion and multiplication can take place in this ball. Comparative analysis of different numerical calculation is made. Calculations of different characteristics are obtained from solving transport equation in diffusion approach and from Monte Carlo method. There is comparison between obtained results, analytical calculations and experimental data. Newness of algorithm consists in direct simulation of branching process distribution in nonhomogeneous medium. Offered algorithm allows calculating different physical values and its evolution in time. Calculation was made for systems which have free path more or equal than scale of heterogeneities.

Keywords:
transport equation, Monte Carlo method, diffusion approach, critical parameters, generation, free path.
УДК 539.1

MODELING METHODS COMPARATIVE ANALYSIS OF THE PARTICLES TRANSPORT IN THE INHOMOGENEOUS MEDIUM

References: Brednikhin S. A., Usov E. V., Lezhnin S. I. MODELING METHODS COMPARATIVE ANALYSIS OF THE PARTICLES TRANSPORT IN THE INHOMOGENEOUS MEDIUM. Vestnik NSU. Series: Physics. 2009, vol. 4, no. 4. P. 49–54 (in Russ.). DOI: 10.54362/1818-7919-2009-4-4-49-54