High-order methods and numerical boundary conditions

Detalhes bibliográficos
Autor(a) principal: Sousa, Ercília
Data de Publicação: 2007
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/4599
https://doi.org/10.1016/j.cma.2007.04.015
Resumo: In this paper we present high-order difference schemes for convection diffusion problems. When we apply high-order numerical methods to problems where physical boundary conditions are not periodic there is a need to choose adequate numerical boundary conditions in order to preserve the high-order accuracy. Next to the boundary we do not usually have enough discrete points to apply the high-order scheme and therefore at these nodes we must consider different approximations, named the numerical boundary conditions.
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spelling High-order methods and numerical boundary conditionsHigh-order finite differencesConvection-diffusionBoundary conditionsIn this paper we present high-order difference schemes for convection diffusion problems. When we apply high-order numerical methods to problems where physical boundary conditions are not periodic there is a need to choose adequate numerical boundary conditions in order to preserve the high-order accuracy. Next to the boundary we do not usually have enough discrete points to apply the high-order scheme and therefore at these nodes we must consider different approximations, named the numerical boundary conditions.http://www.sciencedirect.com/science/article/B6V29-4NX2NG2-1/1/710e654989fae74021792ce58e7ca0a12007info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleaplication/PDFhttp://hdl.handle.net/10316/4599http://hdl.handle.net/10316/4599https://doi.org/10.1016/j.cma.2007.04.015engComputer Methods in Applied Mechanics and Engineering. 196:45-48 (2007) 4444-4457Sousa, Ercíliainfo: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:RCAAP2020-11-06T16:48:53Zoai:estudogeral.uc.pt:10316/4599Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:00:46.986927Repositório 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 High-order methods and numerical boundary conditions
title High-order methods and numerical boundary conditions
spellingShingle High-order methods and numerical boundary conditions
Sousa, Ercília
High-order finite differences
Convection-diffusion
Boundary conditions
title_short High-order methods and numerical boundary conditions
title_full High-order methods and numerical boundary conditions
title_fullStr High-order methods and numerical boundary conditions
title_full_unstemmed High-order methods and numerical boundary conditions
title_sort High-order methods and numerical boundary conditions
author Sousa, Ercília
author_facet Sousa, Ercília
author_role author
dc.contributor.author.fl_str_mv Sousa, Ercília
dc.subject.por.fl_str_mv High-order finite differences
Convection-diffusion
Boundary conditions
topic High-order finite differences
Convection-diffusion
Boundary conditions
description In this paper we present high-order difference schemes for convection diffusion problems. When we apply high-order numerical methods to problems where physical boundary conditions are not periodic there is a need to choose adequate numerical boundary conditions in order to preserve the high-order accuracy. Next to the boundary we do not usually have enough discrete points to apply the high-order scheme and therefore at these nodes we must consider different approximations, named the numerical boundary conditions.
publishDate 2007
dc.date.none.fl_str_mv 2007
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/10316/4599
http://hdl.handle.net/10316/4599
https://doi.org/10.1016/j.cma.2007.04.015
url http://hdl.handle.net/10316/4599
https://doi.org/10.1016/j.cma.2007.04.015
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Computer Methods in Applied Mechanics and Engineering. 196:45-48 (2007) 4444-4457
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv aplication/PDF
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
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