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Zh. Vychisl. Mat. Mat. Fiz., 2016, Volume 56, Number 8, Pages 1480–1490 (Mi zvmmf10443)  

This article is cited in 1 scientific paper (total in 1 paper)

Modified splitting method for solving the nonstationary kinetic particle transport equation

N. Ya. Moiseev, V. M. Shmakov

All-Russia Research Institute of Technical Physics, Russian Federal Nuclear Center, Snezhinsk, Chelyabinsk oblast, Russia

Abstract: A modified splitting method for solving the nonstationary kinetic equation of particle (neutron) transport without iteration with respect to the collision integral is proposed. According to the modification, the solutions of the first-stage integrodifferential equations and the collision integrals are found using analytical rather than finite-difference methods. The solution method is naturally extended to multidimensional problems and is well suited for massive parallelism.

Key words: discrete ordinate method, kinetic neutron transport equation, Godunov method, splitting method, Monte Carlo method.

DOI: https://doi.org/10.7868/S0044466916080123

Full text: PDF file (352 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2016, 56:8, 1464–1473

Bibliographic databases:

UDC: 519.634
Received: 12.05.2015
Revised: 10.11.2015

Citation: N. Ya. Moiseev, V. M. Shmakov, “Modified splitting method for solving the nonstationary kinetic particle transport equation”, Zh. Vychisl. Mat. Mat. Fiz., 56:8 (2016), 1480–1490; Comput. Math. Math. Phys., 56:8 (2016), 1464–1473

Citation in format AMSBIB
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\transl
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\vol 56
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\pages 1464--1473
\crossref{https://doi.org/10.1134/S096554251608011X}
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. N. Ya. Moiseev, “Modified method of splitting with respect to physical processes for solving radiation gas dynamics equations”, Comput. Math. Math. Phys., 57:2 (2017), 306–317  mathnet  crossref  crossref  isi  elib
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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