A stabilized finite element method to pseudoplastic flow governed by the Sisko relation

Detalhes bibliográficos
Autor(a) principal: Bortoloti,Marcio Antônio
Data de Publicação: 2012
Outros Autores: Karam Filho,José
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022012000100002
Resumo: In this work, a consistent stabilized mixed finite element formulation for incompressible pseudoplastic fluid flows governed by the Sisko constitutive equation is mathematically analysed. This formulation is constructed by adding least-squares of the governing equations and of the incompressibility constraint, with discontinuous pressure approximations, allowing the use of same order interpolations for the velocity and the pressure. Numerical results are presented to confirm the mathematical stability analysis. Mathematical subject classification: Primary: 65M60; Secondary: 65N30.
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spelling A stabilized finite element method to pseudoplastic flow governed by the Sisko relationfinite element methodnumerical analysisSisko relationnon-Newtonian flowIn this work, a consistent stabilized mixed finite element formulation for incompressible pseudoplastic fluid flows governed by the Sisko constitutive equation is mathematically analysed. This formulation is constructed by adding least-squares of the governing equations and of the incompressibility constraint, with discontinuous pressure approximations, allowing the use of same order interpolations for the velocity and the pressure. Numerical results are presented to confirm the mathematical stability analysis. Mathematical subject classification: Primary: 65M60; Secondary: 65N30.Sociedade Brasileira de Matemática Aplicada e Computacional2012-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022012000100002Computational & Applied Mathematics v.31 n.1 2012reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMAC10.1590/S1807-03022012000100002info:eu-repo/semantics/openAccessBortoloti,Marcio AntônioKaram Filho,Joséeng2012-04-26T00:00:00Zoai:scielo:S1807-03022012000100002Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2012-04-26T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false
dc.title.none.fl_str_mv A stabilized finite element method to pseudoplastic flow governed by the Sisko relation
title A stabilized finite element method to pseudoplastic flow governed by the Sisko relation
spellingShingle A stabilized finite element method to pseudoplastic flow governed by the Sisko relation
Bortoloti,Marcio Antônio
finite element method
numerical analysis
Sisko relation
non-Newtonian flow
title_short A stabilized finite element method to pseudoplastic flow governed by the Sisko relation
title_full A stabilized finite element method to pseudoplastic flow governed by the Sisko relation
title_fullStr A stabilized finite element method to pseudoplastic flow governed by the Sisko relation
title_full_unstemmed A stabilized finite element method to pseudoplastic flow governed by the Sisko relation
title_sort A stabilized finite element method to pseudoplastic flow governed by the Sisko relation
author Bortoloti,Marcio Antônio
author_facet Bortoloti,Marcio Antônio
Karam Filho,José
author_role author
author2 Karam Filho,José
author2_role author
dc.contributor.author.fl_str_mv Bortoloti,Marcio Antônio
Karam Filho,José
dc.subject.por.fl_str_mv finite element method
numerical analysis
Sisko relation
non-Newtonian flow
topic finite element method
numerical analysis
Sisko relation
non-Newtonian flow
description In this work, a consistent stabilized mixed finite element formulation for incompressible pseudoplastic fluid flows governed by the Sisko constitutive equation is mathematically analysed. This formulation is constructed by adding least-squares of the governing equations and of the incompressibility constraint, with discontinuous pressure approximations, allowing the use of same order interpolations for the velocity and the pressure. Numerical results are presented to confirm the mathematical stability analysis. Mathematical subject classification: Primary: 65M60; Secondary: 65N30.
publishDate 2012
dc.date.none.fl_str_mv 2012-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022012000100002
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022012000100002
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1807-03022012000100002
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv Computational & Applied Mathematics v.31 n.1 2012
reponame:Computational & Applied Mathematics
instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
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instname_str Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
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institution SBMAC
reponame_str Computational & Applied Mathematics
collection Computational & Applied Mathematics
repository.name.fl_str_mv Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
repository.mail.fl_str_mv ||sbmac@sbmac.org.br
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