Technique for reducing time in the calculation of eigenvalues and eigenvectors applied in neutron transport fixed-source problems

Detalhes bibliográficos
Autor(a) principal: Libotte, Rafael
Data de Publicação: 2023
Outros Autores: Alves Filho, Hermes, Carvalho da Silva, Fernando
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Vetor (Online)
Texto Completo: https://periodicos.furg.br/vetor/article/view/15155
Resumo: In this work, a mathematical technique to accelerate the eigenvalue calculations, originally proposed for the Analytical Discrete Ordinates method (ADO), is applied to the coarse-mesh method Modified Spectral Deterministic (MSD), used in neutron shielding problems (fixed-source) in one-dimensional geometry. This technique consists in an arrangement of the neutron transport equation which leads to a reduced eigenvalue calculation on the intranodal analytical solution, where only the positive half of the eigenvalues and its respective eigenvectors are calculated, hence reducing the methods execution time. Precision and performance tests were performed in 2 model-problems, reducing around 80% of the execution time. All the codes were developed using the programming language C++.
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spelling Technique for reducing time in the calculation of eigenvalues and eigenvectors applied in neutron transport fixed-source problemsTécnica para redução de tempo no cálculo de autovalores e autovetores aplicados a problemas de fonte fixa em transporte de nêutronsNeutron transportFixed-source problemsSpectral AnalysisEngenharia NuclearTransporte de nêutronsÁlgebra linearTransporte de nêutronsProblemas de fonte-fixaAnálise espectralIn this work, a mathematical technique to accelerate the eigenvalue calculations, originally proposed for the Analytical Discrete Ordinates method (ADO), is applied to the coarse-mesh method Modified Spectral Deterministic (MSD), used in neutron shielding problems (fixed-source) in one-dimensional geometry. This technique consists in an arrangement of the neutron transport equation which leads to a reduced eigenvalue calculation on the intranodal analytical solution, where only the positive half of the eigenvalues and its respective eigenvectors are calculated, hence reducing the methods execution time. Precision and performance tests were performed in 2 model-problems, reducing around 80% of the execution time. All the codes were developed using the programming language C++.Neste trabalho, uma técnica matemática para acelerar os cálculos de autovalores, originalmente proposto para o método Analytical Discrete Ordinates (ADO), é aplicado para o método de malha grossa Modified Spectral Deterministic (MSD), usado em problemas de blindagem de nêutrons (fonte-fixa) em geometria unidimensional. Esta técnica consiste no arranjo da equação de transporte de nêutrons que leva a cálculos reduzidos de autovalores, onde são calculados apenas os autovalores positivos e seus respectivos autovetores, consequentemente reduzindo o tempo de execução do método. Testes de precisão e performance são realizados em 2 problemas-modelo, onde foram reduzidos cerca de 80% do tempo de execução. Todos os códigos foram desenvolvidos usando a linguagem de programação C++.Universidade Federal do Rio Grande2023-06-28info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.furg.br/vetor/article/view/1515510.14295/vetor.v33i1.15155VETOR - Journal of Exact Sciences and Engineering; Vol. 33 No. 1 (2023); 34-43VETOR - Revista de Ciências Exatas e Engenharias; v. 33 n. 1 (2023); 34-432358-34520102-7352reponame:Vetor (Online)instname:Universidade Federal do Rio Grande (FURG)instacron:FURGenghttps://periodicos.furg.br/vetor/article/view/15155/10195Copyright (c) 2023 VETOR - Revista de Ciências Exatas e Engenhariasinfo:eu-repo/semantics/openAccessLibotte, RafaelAlves Filho, HermesCarvalho da Silva, Fernando2023-06-28T19:45:36Zoai:ojs.periodicos.furg.br:article/15155Revistahttps://periodicos.furg.br/vetorPUBhttps://periodicos.furg.br/vetor/oaigmplatt@furg.br2358-34520102-7352opendoar:2023-06-28T19:45:36Vetor (Online) - Universidade Federal do Rio Grande (FURG)false
dc.title.none.fl_str_mv Technique for reducing time in the calculation of eigenvalues and eigenvectors applied in neutron transport fixed-source problems
Técnica para redução de tempo no cálculo de autovalores e autovetores aplicados a problemas de fonte fixa em transporte de nêutrons
title Technique for reducing time in the calculation of eigenvalues and eigenvectors applied in neutron transport fixed-source problems
spellingShingle Technique for reducing time in the calculation of eigenvalues and eigenvectors applied in neutron transport fixed-source problems
Libotte, Rafael
Neutron transport
Fixed-source problems
Spectral Analysis
Engenharia Nuclear
Transporte de nêutrons
Álgebra linear
Transporte de nêutrons
Problemas de fonte-fixa
Análise espectral
title_short Technique for reducing time in the calculation of eigenvalues and eigenvectors applied in neutron transport fixed-source problems
title_full Technique for reducing time in the calculation of eigenvalues and eigenvectors applied in neutron transport fixed-source problems
title_fullStr Technique for reducing time in the calculation of eigenvalues and eigenvectors applied in neutron transport fixed-source problems
title_full_unstemmed Technique for reducing time in the calculation of eigenvalues and eigenvectors applied in neutron transport fixed-source problems
title_sort Technique for reducing time in the calculation of eigenvalues and eigenvectors applied in neutron transport fixed-source problems
author Libotte, Rafael
author_facet Libotte, Rafael
Alves Filho, Hermes
Carvalho da Silva, Fernando
author_role author
author2 Alves Filho, Hermes
Carvalho da Silva, Fernando
author2_role author
author
dc.contributor.author.fl_str_mv Libotte, Rafael
Alves Filho, Hermes
Carvalho da Silva, Fernando
dc.subject.por.fl_str_mv Neutron transport
Fixed-source problems
Spectral Analysis
Engenharia Nuclear
Transporte de nêutrons
Álgebra linear
Transporte de nêutrons
Problemas de fonte-fixa
Análise espectral
topic Neutron transport
Fixed-source problems
Spectral Analysis
Engenharia Nuclear
Transporte de nêutrons
Álgebra linear
Transporte de nêutrons
Problemas de fonte-fixa
Análise espectral
description In this work, a mathematical technique to accelerate the eigenvalue calculations, originally proposed for the Analytical Discrete Ordinates method (ADO), is applied to the coarse-mesh method Modified Spectral Deterministic (MSD), used in neutron shielding problems (fixed-source) in one-dimensional geometry. This technique consists in an arrangement of the neutron transport equation which leads to a reduced eigenvalue calculation on the intranodal analytical solution, where only the positive half of the eigenvalues and its respective eigenvectors are calculated, hence reducing the methods execution time. Precision and performance tests were performed in 2 model-problems, reducing around 80% of the execution time. All the codes were developed using the programming language C++.
publishDate 2023
dc.date.none.fl_str_mv 2023-06-28
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.furg.br/vetor/article/view/15155
10.14295/vetor.v33i1.15155
url https://periodicos.furg.br/vetor/article/view/15155
identifier_str_mv 10.14295/vetor.v33i1.15155
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://periodicos.furg.br/vetor/article/view/15155/10195
dc.rights.driver.fl_str_mv Copyright (c) 2023 VETOR - Revista de Ciências Exatas e Engenharias
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2023 VETOR - Revista de Ciências Exatas e Engenharias
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal do Rio Grande
publisher.none.fl_str_mv Universidade Federal do Rio Grande
dc.source.none.fl_str_mv VETOR - Journal of Exact Sciences and Engineering; Vol. 33 No. 1 (2023); 34-43
VETOR - Revista de Ciências Exatas e Engenharias; v. 33 n. 1 (2023); 34-43
2358-3452
0102-7352
reponame:Vetor (Online)
instname:Universidade Federal do Rio Grande (FURG)
instacron:FURG
instname_str Universidade Federal do Rio Grande (FURG)
instacron_str FURG
institution FURG
reponame_str Vetor (Online)
collection Vetor (Online)
repository.name.fl_str_mv Vetor (Online) - Universidade Federal do Rio Grande (FURG)
repository.mail.fl_str_mv gmplatt@furg.br
_version_ 1797041760256393216

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