A consistent and stabilized continuous/discontinuous Galerkin method for fourth-order incompressible flow problems
Autor(a) principal: | |
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Data de Publicação: | 2012 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRJ |
Texto Completo: | http://hdl.handle.net/11422/8548 |
Resumo: | Indisponível. |
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Cruz, Antonio Guilherme Barbosa daCarmo, Eduardo Gomes Dutra doDuda, Fernando Pereira2019-06-28T13:46:22Z2023-11-30T03:03:33Z2012-05-150021-9991http://hdl.handle.net/11422/854810.1016/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 2019-06-28T13:46:22Z No. of bitstreams: 1 2012_CRUZ_v231_p5469-5488-min.pdf: 601513 bytes, checksum: 3e96b06459ec07cde455d9b261ecdea2 (MD5)Made available in DSpace on 2019-06-28T13:46:22Z (GMT). No. of bitstreams: 1 2012_CRUZ_v231_p5469-5488-min.pdf: 601513 bytes, checksum: 3e96b06459ec07cde455d9b261ecdea2 (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_CRUZ_v231_p5469-5488-min.pdf2012_CRUZ_v231_p5469-5488-min.pdfapplication/pdf601513http://pantheon.ufrj.br:80/bitstream/11422/8548/1/2012_CRUZ_v231_p5469-5488-min.pdf3e96b06459ec07cde455d9b261ecdea2MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81853http://pantheon.ufrj.br:80/bitstream/11422/8548/2/license.txtdd32849f2bfb22da963c3aac6e26e255MD5211422/85482023-11-30 00:03:33.407oai:pantheon.ufrj.br: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Repositório de PublicaçõesPUBhttp://www.pantheon.ufrj.br/oai/requestopendoar:2023-11-30T03:03:33Repositório 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 |
2019-06-28T13:46:22Z |
dc.date.available.fl_str_mv |
2023-11-30T03:03:33Z |
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/11422/8548 |
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/11422/8548 |
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 |
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