Response Matrix Method–Based Importance Solver and Variance Reduction Scheme in the Serpent 2 Monte Carlo Code

Jaakko Leppänen (Corresponding Author)

    Research output: Contribution to journalArticleScientificpeer-review

    9 Citations (Scopus)

    Abstract

    A deterministic importance solver has been implemented as an internal subroutine in the Serpent 2 Monte Carlo code for the purpose of producing weight-window meshes for variance reduction. The routine solves the adjoint transport problem using the response matrix method with coupling coefficients obtained from a conventional forward Monte Carlo simulation. The methodology can be applied to photon and neutron external source problems, and the solver supports multiple energy groups and several mesh types. Importances can be generated with respect to multiple responses, and an iterative global variance reduction sequence enables distributing the transported particle population evenly throughout the geometry. This paper describes the methodology applied in the response matrix solver and presents a verification for the generated importance functions through simple demonstrations. A practical example involving a photon shielding problem is included for performance evaluation.

    Original languageEnglish
    Pages (from-to)1416-1432
    Number of pages17
    JournalNuclear Technology
    Volume205
    Issue number11
    DOIs
    Publication statusPublished - 30 Apr 2019
    MoE publication typeA1 Journal article-refereed

    Keywords

    • Monte Carlo
    • response matrix method
    • Serpent 2
    • variance reduction
    • weight windows

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