A consistent and stabilized continuous/discontinuous Galerkin method for fourth-order incompressible flow problems

Detalhes bibliográficos
Autor(a) principal: Cruz, Antonio Guilherme Barbosa da
Data de Publicação: 2012
Outros Autores: Carmo, Eduardo Gomes Dutra do, Duda, Fernando Pereira
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRJ
Texto Completo: http://hdl.handle.net/11422/8588
Resumo: Indisponível.
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spelling Cruz, Antonio Guilherme Barbosa daCarmo, Eduardo Gomes Dutra doDuda, Fernando Pereira2019-07-01T14:49:53Z2023-11-30T03:03:32Z2012-05-150021-9991http://hdl.handle.net/11422/858810.1016/j.jcp.2012.05.002Indisponível.This paper presents a new consistent and stabilized finite-element formulation for fourth-order incompressible flow problems. The formulation is based on the C0-interior penalty method, the Galerkin least-square (GLS) scheme, which assures that the formulation is weakly coercive for spaces that fail to satisfy the inf-sup condition, and considers discontinuous pressure interpolations. A stability analysis through a lemma establishes that the proposed formulation satisfies the inf-sup condition, thus confirming the robustness of the method. This lemma indicates that, at the element level, there exists an optimal or quasi-optimal GLS stability parameter that depends on the polynomial degree used to interpolate the velocity and pressure fields, the geometry of the finite element, and the fluid viscosity term. Numerical experiments are carried out to illustrate the ability of the formulation to deal with arbitrary interpolations for velocity and pressure, and to stabilize large pressure gradients.Submitted by Jairo Amaro (jairo.amaro@sibi.ufrj.br) on 2019-07-01T14:49:53Z No. of bitstreams: 1 2012_DUDA_JCP_v231_p5469-5488-min.pdf: 601513 bytes, checksum: a1e08ff4ea1845305de9b2a0ee8daa37 (MD5)Made available in DSpace on 2019-07-01T14:49:53Z (GMT). No. of bitstreams: 1 2012_DUDA_JCP_v231_p5469-5488-min.pdf: 601513 bytes, checksum: a1e08ff4ea1845305de9b2a0ee8daa37 (MD5) Previous issue date: 2012-05-15engElsevierBrasilNúcleo Interdisciplinar de Dinâmica dos FluidosJournal of Computational PhysicsCNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOSDiscontinuous Galerkin methodsFourth-order problemsGLS stabilitySecond gradientA consistent and stabilized continuous/discontinuous Galerkin method for fourth-order incompressible flow problemsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article2311654695488365 diasinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRJinstname:Universidade Federal do Rio de Janeiro (UFRJ)instacron:UFRJORIGINAL2012_DUDA_JCP_v231_p5469-5488-min.pdf2012_DUDA_JCP_v231_p5469-5488-min.pdfapplication/pdf601513http://pantheon.ufrj.br:80/bitstream/11422/8588/1/2012_DUDA_JCP_v231_p5469-5488-min.pdfa1e08ff4ea1845305de9b2a0ee8daa37MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81853http://pantheon.ufrj.br:80/bitstream/11422/8588/2/license.txtdd32849f2bfb22da963c3aac6e26e255MD5211422/85882023-11-30 00:03:32.279oai:pantheon.ufrj.br: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Repositório de PublicaçõesPUBhttp://www.pantheon.ufrj.br/oai/requestopendoar:2023-11-30T03:03:32Repositório Institucional da UFRJ - Universidade Federal do Rio de Janeiro (UFRJ)false
dc.title.en.fl_str_mv A consistent and stabilized continuous/discontinuous Galerkin method for fourth-order incompressible flow problems
title A consistent and stabilized continuous/discontinuous Galerkin method for fourth-order incompressible flow problems
spellingShingle A consistent and stabilized continuous/discontinuous Galerkin method for fourth-order incompressible flow problems
Cruz, Antonio Guilherme Barbosa da
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
Discontinuous Galerkin methods
Fourth-order problems
GLS stability
Second gradient
title_short A consistent and stabilized continuous/discontinuous Galerkin method for fourth-order incompressible flow problems
title_full A consistent and stabilized continuous/discontinuous Galerkin method for fourth-order incompressible flow problems
title_fullStr A consistent and stabilized continuous/discontinuous Galerkin method for fourth-order incompressible flow problems
title_full_unstemmed A consistent and stabilized continuous/discontinuous Galerkin method for fourth-order incompressible flow problems
title_sort A consistent and stabilized continuous/discontinuous Galerkin method for fourth-order incompressible flow problems
author Cruz, Antonio Guilherme Barbosa da
author_facet Cruz, Antonio Guilherme Barbosa da
Carmo, Eduardo Gomes Dutra do
Duda, Fernando Pereira
author_role author
author2 Carmo, Eduardo Gomes Dutra do
Duda, Fernando Pereira
author2_role author
author
dc.contributor.author.fl_str_mv Cruz, Antonio Guilherme Barbosa da
Carmo, Eduardo Gomes Dutra do
Duda, Fernando Pereira
dc.subject.cnpq.fl_str_mv CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
topic CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
Discontinuous Galerkin methods
Fourth-order problems
GLS stability
Second gradient
dc.subject.eng.fl_str_mv Discontinuous Galerkin methods
Fourth-order problems
GLS stability
Second gradient
description Indisponível.
publishDate 2012
dc.date.issued.fl_str_mv 2012-05-15
dc.date.accessioned.fl_str_mv 2019-07-01T14:49:53Z
dc.date.available.fl_str_mv 2023-11-30T03:03:32Z
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/11422/8588
dc.identifier.issn.pt_BR.fl_str_mv 0021-9991
dc.identifier.doi.pt_BR.fl_str_mv 10.1016/j.jcp.2012.05.002
identifier_str_mv 0021-9991
10.1016/j.jcp.2012.05.002
url http://hdl.handle.net/11422/8588
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartof.en.fl_str_mv Journal of Computational Physics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Núcleo Interdisciplinar de Dinâmica dos Fluidos
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFRJ
instname:Universidade Federal do Rio de Janeiro (UFRJ)
instacron:UFRJ
instname_str Universidade Federal do Rio de Janeiro (UFRJ)
instacron_str UFRJ
institution UFRJ
reponame_str Repositório Institucional da UFRJ
collection Repositório Institucional da UFRJ
bitstream.url.fl_str_mv http://pantheon.ufrj.br:80/bitstream/11422/8588/1/2012_DUDA_JCP_v231_p5469-5488-min.pdf
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