Novel Graph-based Adaptive Triangular Mesh Refinement for Finite-volume Discretizations

Detalhes bibliográficos
Autor(a) principal: Sanderson L. Gonzaga de Oliveira
Data de Publicação: 2013
Outros Autores: Mauricio Kischinhevsk, João Manuel R. S. Tavares
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://hdl.handle.net/10216/70055
Resumo: A novel graph-based adaptive mesh refinement technique for triangular finite-volume discretizations in order to solve second-order partial differential equations is described. Adaptive refined meshes are built in order to solve time-dependent problems aiming low computational costs. In the approach proposed, flexibility to link and traverse nodes among neighbors in different levels of refinement is admitted; and volumes are refined using an approach that allows straightforward and strictly local update of the data structure. In addition, linear equation system solvers based on the minimization of functionals can be easily used; specifically, the Conjugate Gradient Method. Numerical and analytical tests were carried out in order to study the required execution time and the data storage cost. These tests confirmed the advantages of the approach proposed in elliptic and parabolic problems.
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spelling Novel Graph-based Adaptive Triangular Mesh Refinement for Finite-volume DiscretizationsCiências Tecnológicas, Ciências da engenharia e tecnologiasTechnological sciences, Engineering and technologyA novel graph-based adaptive mesh refinement technique for triangular finite-volume discretizations in order to solve second-order partial differential equations is described. Adaptive refined meshes are built in order to solve time-dependent problems aiming low computational costs. In the approach proposed, flexibility to link and traverse nodes among neighbors in different levels of refinement is admitted; and volumes are refined using an approach that allows straightforward and strictly local update of the data structure. In addition, linear equation system solvers based on the minimization of functionals can be easily used; specifically, the Conjugate Gradient Method. Numerical and analytical tests were carried out in order to study the required execution time and the data storage cost. These tests confirmed the advantages of the approach proposed in elliptic and parabolic problems.20132013-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10216/70055eng1526-1492Sanderson L. Gonzaga de OliveiraMauricio KischinhevskJoão Manuel R. S. Tavaresinfo: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:RCAAP2023-11-29T15:12:01Zoai:repositorio-aberto.up.pt:10216/70055Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:17:55.283311Repositório 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 Novel Graph-based Adaptive Triangular Mesh Refinement for Finite-volume Discretizations
title Novel Graph-based Adaptive Triangular Mesh Refinement for Finite-volume Discretizations
spellingShingle Novel Graph-based Adaptive Triangular Mesh Refinement for Finite-volume Discretizations
Sanderson L. Gonzaga de Oliveira
Ciências Tecnológicas, Ciências da engenharia e tecnologias
Technological sciences, Engineering and technology
title_short Novel Graph-based Adaptive Triangular Mesh Refinement for Finite-volume Discretizations
title_full Novel Graph-based Adaptive Triangular Mesh Refinement for Finite-volume Discretizations
title_fullStr Novel Graph-based Adaptive Triangular Mesh Refinement for Finite-volume Discretizations
title_full_unstemmed Novel Graph-based Adaptive Triangular Mesh Refinement for Finite-volume Discretizations
title_sort Novel Graph-based Adaptive Triangular Mesh Refinement for Finite-volume Discretizations
author Sanderson L. Gonzaga de Oliveira
author_facet Sanderson L. Gonzaga de Oliveira
Mauricio Kischinhevsk
João Manuel R. S. Tavares
author_role author
author2 Mauricio Kischinhevsk
João Manuel R. S. Tavares
author2_role author
author
dc.contributor.author.fl_str_mv Sanderson L. Gonzaga de Oliveira
Mauricio Kischinhevsk
João Manuel R. S. Tavares
dc.subject.por.fl_str_mv Ciências Tecnológicas, Ciências da engenharia e tecnologias
Technological sciences, Engineering and technology
topic Ciências Tecnológicas, Ciências da engenharia e tecnologias
Technological sciences, Engineering and technology
description A novel graph-based adaptive mesh refinement technique for triangular finite-volume discretizations in order to solve second-order partial differential equations is described. Adaptive refined meshes are built in order to solve time-dependent problems aiming low computational costs. In the approach proposed, flexibility to link and traverse nodes among neighbors in different levels of refinement is admitted; and volumes are refined using an approach that allows straightforward and strictly local update of the data structure. In addition, linear equation system solvers based on the minimization of functionals can be easily used; specifically, the Conjugate Gradient Method. Numerical and analytical tests were carried out in order to study the required execution time and the data storage cost. These tests confirmed the advantages of the approach proposed in elliptic and parabolic problems.
publishDate 2013
dc.date.none.fl_str_mv 2013
2013-01-01T00:00:00Z
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 https://hdl.handle.net/10216/70055
url https://hdl.handle.net/10216/70055
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1526-1492
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.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
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