Multigrid algorithms for solving multigroup neutron transport equations

Liquan Mei

doi:10.1016/j.amc.2005.11.168

Multigrid algorithms for solving multigroup neutron transport equations

Liquan Mei

数学与统计学院

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

This paper describes multigrid algorithms for solving multigroup neutron transport equations. Local mode analysis of multilevel is performed for transport problems, and numerical Fourier analysis is carried out to study the smoothing and convergence properties of the multigrid algorithms for neutron diffusion and general P_N approximate case respectively. Numerical test calculations validate the theoretical predictions.

源语言	英语
页（从-至）	473-483
页数	11
期刊	Applied Mathematics and Computation
卷	179
期	2
DOI	https://doi.org/10.1016/j.amc.2005.11.168
出版状态	已出版 - 15 8月 2006

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title = "Multigrid algorithms for solving multigroup neutron transport equations",

abstract = "This paper describes multigrid algorithms for solving multigroup neutron transport equations. Local mode analysis of multilevel is performed for transport problems, and numerical Fourier analysis is carried out to study the smoothing and convergence properties of the multigrid algorithms for neutron diffusion and general PN approximate case respectively. Numerical test calculations validate the theoretical predictions.",

keywords = "Fourier analysis, Multigrid, Neutron transport equation",

author = "Liquan Mei",

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PY - 2006/8/15

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N2 - This paper describes multigrid algorithms for solving multigroup neutron transport equations. Local mode analysis of multilevel is performed for transport problems, and numerical Fourier analysis is carried out to study the smoothing and convergence properties of the multigrid algorithms for neutron diffusion and general PN approximate case respectively. Numerical test calculations validate the theoretical predictions.

AB - This paper describes multigrid algorithms for solving multigroup neutron transport equations. Local mode analysis of multilevel is performed for transport problems, and numerical Fourier analysis is carried out to study the smoothing and convergence properties of the multigrid algorithms for neutron diffusion and general PN approximate case respectively. Numerical test calculations validate the theoretical predictions.

KW - Fourier analysis

KW - Multigrid

KW - Neutron transport equation

UR - https://www.scopus.com/pages/publications/33748030082

U2 - 10.1016/j.amc.2005.11.168

DO - 10.1016/j.amc.2005.11.168

M3 - 文章

AN - SCOPUS:33748030082

SN - 0096-3003

VL - 179

SP - 473

EP - 483

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

Multigrid algorithms for solving multigroup neutron transport equations

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