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

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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 P_N approximate case respectively. Numerical test calculations validate the theoretical predictions.

Original language	English
Pages (from-to)	473-483
Number of pages	11
Journal	Applied Mathematics and Computation
Volume	179
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2005.11.168
State	Published - 15 Aug 2006

Keywords

Fourier analysis
Multigrid
Neutron transport equation

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10.1016/j.amc.2005.11.168

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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",

year = "2006",

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doi = "10.1016/j.amc.2005.11.168",

language = "英语",

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T1 - Multigrid algorithms for solving multigroup neutron transport equations

AU - Mei, Liquan

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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Keywords

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