A Petrov–Galerkin formulation for the incompressible Navier–Stokes equations using equal order interpolation for velocity and pressure

Detalhes bibliográficos
Autor(a) principal: Sampaio, Paulo Augusto Berquó de
Data de Publicação: 1991
Outros Autores: Instituto de Engenharia Nuclear, University College of Swansea
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional do IEN
Texto Completo: http://carpedien.ien.gov.br:8080/handle/ien/2690
Resumo: A new Petrov‐Galerkin method for the incompressible Navier‐Stokes equations is presented. The use of the so‐called ‘optimal upwind’ parameter in multidimensions is justified by a time‐scale analysis of the relevant physical processes. The resulting procedure circumvents the Babuška‐Brezzi condition and allows equal order interpolation for velocity and pressure to be used.
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spelling Sampaio, Paulo Augusto Berquó deInstituto de Engenharia NuclearUniversity College of Swansea2018-09-05T17:14:20Z2018-09-05T17:14:20Z1991-05http://carpedien.ien.gov.br:8080/handle/ien/2690Submitted by Marcele Costal de Castro (costalcastro@gmail.com) on 2018-09-05T17:14:20Z No. of bitstreams: 0Made available in DSpace on 2018-09-05T17:14:20Z (GMT). No. of bitstreams: 0 Previous issue date: 1991-05A new Petrov‐Galerkin method for the incompressible Navier‐Stokes equations is presented. The use of the so‐called ‘optimal upwind’ parameter in multidimensions is justified by a time‐scale analysis of the relevant physical processes. The resulting procedure circumvents the Babuška‐Brezzi condition and allows equal order interpolation for velocity and pressure to be used.engInstituto de Engenharia NuclearIENBrasilPetrov‐Galerkin methodNavier‐Stokes equationsPhysical processesA Petrov–Galerkin formulation for the incompressible Navier–Stokes equations using equal order interpolation for velocity and pressureinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article31611351149info:eu-repo/semantics/embargoedAccessreponame:Repositório Institucional do IENinstname:Instituto de Engenharia Nuclearinstacron:IENLICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://carpedien.ien.gov.br:8080/xmlui/bitstream/ien/2690/1/license.txt8a4605be74aa9ea9d79846c1fba20a33MD51ien/2690oai:carpedien.ien.gov.br:ien/26902018-09-05 14:14:20.323Dspace IENlsales@ien.gov.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
dc.title.pt_BR.fl_str_mv A Petrov–Galerkin formulation for the incompressible Navier–Stokes equations using equal order interpolation for velocity and pressure
title A Petrov–Galerkin formulation for the incompressible Navier–Stokes equations using equal order interpolation for velocity and pressure
spellingShingle A Petrov–Galerkin formulation for the incompressible Navier–Stokes equations using equal order interpolation for velocity and pressure
Sampaio, Paulo Augusto Berquó de
Petrov‐Galerkin method
Navier‐Stokes equations
Physical processes
title_short A Petrov–Galerkin formulation for the incompressible Navier–Stokes equations using equal order interpolation for velocity and pressure
title_full A Petrov–Galerkin formulation for the incompressible Navier–Stokes equations using equal order interpolation for velocity and pressure
title_fullStr A Petrov–Galerkin formulation for the incompressible Navier–Stokes equations using equal order interpolation for velocity and pressure
title_full_unstemmed A Petrov–Galerkin formulation for the incompressible Navier–Stokes equations using equal order interpolation for velocity and pressure
title_sort A Petrov–Galerkin formulation for the incompressible Navier–Stokes equations using equal order interpolation for velocity and pressure
author Sampaio, Paulo Augusto Berquó de
author_facet Sampaio, Paulo Augusto Berquó de
Instituto de Engenharia Nuclear
University College of Swansea
author_role author
author2 Instituto de Engenharia Nuclear
University College of Swansea
author2_role author
author
dc.contributor.author.fl_str_mv Sampaio, Paulo Augusto Berquó de
Instituto de Engenharia Nuclear
University College of Swansea
dc.subject.por.fl_str_mv Petrov‐Galerkin method
Navier‐Stokes equations
Physical processes
topic Petrov‐Galerkin method
Navier‐Stokes equations
Physical processes
dc.description.abstract.por.fl_txt_mv A new Petrov‐Galerkin method for the incompressible Navier‐Stokes equations is presented. The use of the so‐called ‘optimal upwind’ parameter in multidimensions is justified by a time‐scale analysis of the relevant physical processes. The resulting procedure circumvents the Babuška‐Brezzi condition and allows equal order interpolation for velocity and pressure to be used.
description A new Petrov‐Galerkin method for the incompressible Navier‐Stokes equations is presented. The use of the so‐called ‘optimal upwind’ parameter in multidimensions is justified by a time‐scale analysis of the relevant physical processes. The resulting procedure circumvents the Babuška‐Brezzi condition and allows equal order interpolation for velocity and pressure to be used.
publishDate 1991
dc.date.issued.fl_str_mv 1991-05
dc.date.accessioned.fl_str_mv 2018-09-05T17:14:20Z
dc.date.available.fl_str_mv 2018-09-05T17:14:20Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
status_str publishedVersion
format article
dc.identifier.uri.fl_str_mv http://carpedien.ien.gov.br:8080/handle/ien/2690
url http://carpedien.ien.gov.br:8080/handle/ien/2690
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/embargoedAccess
eu_rights_str_mv embargoedAccess
dc.publisher.none.fl_str_mv Instituto de Engenharia Nuclear
dc.publisher.initials.fl_str_mv IEN
dc.publisher.country.fl_str_mv Brasil
publisher.none.fl_str_mv Instituto de Engenharia Nuclear
dc.source.none.fl_str_mv reponame:Repositório Institucional do IEN
instname:Instituto de Engenharia Nuclear
instacron:IEN
reponame_str Repositório Institucional do IEN
collection Repositório Institucional do IEN
instname_str Instituto de Engenharia Nuclear
instacron_str IEN
institution IEN
bitstream.url.fl_str_mv http://carpedien.ien.gov.br:8080/xmlui/bitstream/ien/2690/1/license.txt
bitstream.checksum.fl_str_mv 8a4605be74aa9ea9d79846c1fba20a33
bitstream.checksumAlgorithm.fl_str_mv MD5
repository.name.fl_str_mv Dspace IEN
repository.mail.fl_str_mv lsales@ien.gov.br
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