New cell-vertex reconstruction for finite volume scheme : application to the convection-diffusion-reaction equation

Detalhes bibliográficos
Autor(a) principal: Costa, Ricardo Daniel Pereira
Data de Publicação: 2014
Outros Autores: Clain, Stéphane, Machado, Gaspar J.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/30759
Resumo: The design of efficient, simple, and easy to code, second-order finite volume methods is an important challenge to solve practical problems in physics and in engineering where complex and very accurate techniques are not required. We propose an extension of the original Frink's approach based on a cell-to-vertex interpolation to compute vertex values with neighbor cell values. We also design a specific scheme which enables to use whatever collocation point we want in the cells to overcome the mass centre point restrictive choice. The method is proposed for two- and three-dimension geometries and a second-order extension time-discretization is given for time-dependent equation. A large number of numerical simulations are carried out to highlight the performance of the new method.
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spelling New cell-vertex reconstruction for finite volume scheme : application to the convection-diffusion-reaction equationConvection-diffusion-reactionFinite volume methodCell-vertex interpolationSecond-order accuracyCiências Naturais::MatemáticasScience & TechnologyThe design of efficient, simple, and easy to code, second-order finite volume methods is an important challenge to solve practical problems in physics and in engineering where complex and very accurate techniques are not required. We propose an extension of the original Frink's approach based on a cell-to-vertex interpolation to compute vertex values with neighbor cell values. We also design a specific scheme which enables to use whatever collocation point we want in the cells to overcome the mass centre point restrictive choice. The method is proposed for two- and three-dimension geometries and a second-order extension time-discretization is given for time-dependent equation. A large number of numerical simulations are carried out to highlight the performance of the new method.Fundação para a Ciência e a Tecnologia (FCT)ElsevierUniversidade do MinhoCosta, Ricardo Daniel PereiraClain, StéphaneMachado, Gaspar J.20142014-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/30759eng0898-122110.1016/j.camwa.2014.08.015info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T12:34:04Zoai:repositorium.sdum.uminho.pt:1822/30759Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:29:40.680556Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv New cell-vertex reconstruction for finite volume scheme : application to the convection-diffusion-reaction equation
title New cell-vertex reconstruction for finite volume scheme : application to the convection-diffusion-reaction equation
spellingShingle New cell-vertex reconstruction for finite volume scheme : application to the convection-diffusion-reaction equation
Costa, Ricardo Daniel Pereira
Convection-diffusion-reaction
Finite volume method
Cell-vertex interpolation
Second-order accuracy
Ciências Naturais::Matemáticas
Science & Technology
title_short New cell-vertex reconstruction for finite volume scheme : application to the convection-diffusion-reaction equation
title_full New cell-vertex reconstruction for finite volume scheme : application to the convection-diffusion-reaction equation
title_fullStr New cell-vertex reconstruction for finite volume scheme : application to the convection-diffusion-reaction equation
title_full_unstemmed New cell-vertex reconstruction for finite volume scheme : application to the convection-diffusion-reaction equation
title_sort New cell-vertex reconstruction for finite volume scheme : application to the convection-diffusion-reaction equation
author Costa, Ricardo Daniel Pereira
author_facet Costa, Ricardo Daniel Pereira
Clain, Stéphane
Machado, Gaspar J.
author_role author
author2 Clain, Stéphane
Machado, Gaspar J.
author2_role author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Costa, Ricardo Daniel Pereira
Clain, Stéphane
Machado, Gaspar J.
dc.subject.por.fl_str_mv Convection-diffusion-reaction
Finite volume method
Cell-vertex interpolation
Second-order accuracy
Ciências Naturais::Matemáticas
Science & Technology
topic Convection-diffusion-reaction
Finite volume method
Cell-vertex interpolation
Second-order accuracy
Ciências Naturais::Matemáticas
Science & Technology
description The design of efficient, simple, and easy to code, second-order finite volume methods is an important challenge to solve practical problems in physics and in engineering where complex and very accurate techniques are not required. We propose an extension of the original Frink's approach based on a cell-to-vertex interpolation to compute vertex values with neighbor cell values. We also design a specific scheme which enables to use whatever collocation point we want in the cells to overcome the mass centre point restrictive choice. The method is proposed for two- and three-dimension geometries and a second-order extension time-discretization is given for time-dependent equation. A large number of numerical simulations are carried out to highlight the performance of the new method.
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/30759
url http://hdl.handle.net/1822/30759
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0898-1221
10.1016/j.camwa.2014.08.015
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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