Petrov - galerkin finite element formulations for incompressible viscous flows

Detalhes bibliográficos
Ano de defesa: 1991
Autor(a) principal: Sampaio, Paulo Augusto Berquó de
Outros Autores: Instituto de Engenharia Nuclear
Orientador(a): Weatherill, Nigel
Banca de defesa: Não Informado pela instituição
Tipo de documento: Tese
Tipo de acesso: Acesso aberto
Idioma: eng
Instituição de defesa: Instituto de Engenharia Nuclear
Programa de Pós-Graduação: Programa de Pós-Graduação em Engenharia Mecânica
Departamento: University of Wales (College of Swansea)
País: Gra-bretanha
Palavras-chave em Português:
Petrov-Galerkin Formulations
Computational Fluid Dynamics
Incompressible Flow
Link de acesso: http://carpedien.ien.gov.br:8080/handle/ien/1954
Resumo: The basic difficulties associated with the numerical solution of the incompressible Navier-Stokes equations in primitive variables are identified and analysed. These difficulties, namely the lack of self-adjointness of the flow equations and the requirement of choosing compatible interpolations for velocity and pressure, are addressed with the development of consistent Petrov-Galerkin formulations. In particular, the solution of incompressible viscous flow problems using simple equal order interpolation for all variables becomes possible .
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spelling Sampaio, Paulo Augusto Berquó deInstituto de Engenharia NuclearWeatherill, NigelWeatherill, Nigel2017-10-04T17:13:38Z2017-10-04T17:13:38Z1991-09http://carpedien.ien.gov.br:8080/handle/ien/1954Submitted by Marcele Costal de Castro (costalcastro@gmail.com) on 2017-10-04T17:13:38Z No. of bitstreams: 1 PAULO AUGUSTO BERQUÓ DE SAMPAIO D.pdf: 6576641 bytes, checksum: 71355f6eedcf668b2236d4c10f1a2551 (MD5)Made available in DSpace on 2017-10-04T17:13:38Z (GMT). No. of bitstreams: 1 PAULO AUGUSTO BERQUÓ DE SAMPAIO D.pdf: 6576641 bytes, checksum: 71355f6eedcf668b2236d4c10f1a2551 (MD5) Previous issue date: 1991-09The basic difficulties associated with the numerical solution of the incompressible Navier-Stokes equations in primitive variables are identified and analysed. These difficulties, namely the lack of self-adjointness of the flow equations and the requirement of choosing compatible interpolations for velocity and pressure, are addressed with the development of consistent Petrov-Galerkin formulations. In particular, the solution of incompressible viscous flow problems using simple equal order interpolation for all variables becomes possible .engInstituto de Engenharia NuclearPrograma de Pós-Graduação em Engenharia MecânicaIENGra-bretanhaUniversity of Wales (College of Swansea)Petrov-Galerkin FormulationsComputational Fluid DynamicsIncompressible FlowPetrov - galerkin finite element formulations for incompressible viscous flowsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional do IENinstname:Instituto de Engenharia Nuclearinstacron:IENLICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://carpedien.ien.gov.br:8080/xmlui/bitstream/ien/1954/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52ORIGINALPAULO AUGUSTO BERQUÓ DE SAMPAIO D.pdfPAULO AUGUSTO BERQUÓ DE SAMPAIO D.pdfapplication/pdf6576641http://carpedien.ien.gov.br:8080/xmlui/bitstream/ien/1954/1/PAULO+AUGUSTO+BERQU%C3%93+DE+SAMPAIO+D.pdf71355f6eedcf668b2236d4c10f1a2551MD51ien/1954oai:carpedien.ien.gov.br:ien/19542017-10-04 14:13:38.478Dspace IENlsales@ien.gov.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
dc.title.pt_BR.fl_str_mv Petrov - galerkin finite element formulations for incompressible viscous flows
title Petrov - galerkin finite element formulations for incompressible viscous flows
spellingShingle Petrov - galerkin finite element formulations for incompressible viscous flows
Sampaio, Paulo Augusto Berquó de
Petrov-Galerkin Formulations
Computational Fluid Dynamics
Incompressible Flow
title_short Petrov - galerkin finite element formulations for incompressible viscous flows
title_full Petrov - galerkin finite element formulations for incompressible viscous flows
title_fullStr Petrov - galerkin finite element formulations for incompressible viscous flows
title_full_unstemmed Petrov - galerkin finite element formulations for incompressible viscous flows
title_sort Petrov - galerkin finite element formulations for incompressible viscous flows
author Sampaio, Paulo Augusto Berquó de
author_facet Sampaio, Paulo Augusto Berquó de
Instituto de Engenharia Nuclear
author_role author
author2 Instituto de Engenharia Nuclear
author2_role author
dc.contributor.referees1.none.fl_str_mv Weatherill, Nigel
dc.contributor.author.fl_str_mv Sampaio, Paulo Augusto Berquó de
Instituto de Engenharia Nuclear
dc.contributor.advisor1.fl_str_mv Weatherill, Nigel
contributor_str_mv Weatherill, Nigel
dc.subject.por.fl_str_mv Petrov-Galerkin Formulations
Computational Fluid Dynamics
Incompressible Flow
topic Petrov-Galerkin Formulations
Computational Fluid Dynamics
Incompressible Flow
dc.description.abstract.por.fl_txt_mv The basic difficulties associated with the numerical solution of the incompressible Navier-Stokes equations in primitive variables are identified and analysed. These difficulties, namely the lack of self-adjointness of the flow equations and the requirement of choosing compatible interpolations for velocity and pressure, are addressed with the development of consistent Petrov-Galerkin formulations. In particular, the solution of incompressible viscous flow problems using simple equal order interpolation for all variables becomes possible .
description The basic difficulties associated with the numerical solution of the incompressible Navier-Stokes equations in primitive variables are identified and analysed. These difficulties, namely the lack of self-adjointness of the flow equations and the requirement of choosing compatible interpolations for velocity and pressure, are addressed with the development of consistent Petrov-Galerkin formulations. In particular, the solution of incompressible viscous flow problems using simple equal order interpolation for all variables becomes possible .
publishDate 1991
dc.date.issued.fl_str_mv 1991-09
dc.date.accessioned.fl_str_mv 2017-10-04T17:13:38Z
dc.date.available.fl_str_mv 2017-10-04T17:13:38Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/doctoralThesis
status_str publishedVersion
format doctoralThesis
dc.identifier.uri.fl_str_mv http://carpedien.ien.gov.br:8080/handle/ien/1954
url http://carpedien.ien.gov.br:8080/handle/ien/1954
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Instituto de Engenharia Nuclear
dc.publisher.program.fl_str_mv Programa de Pós-Graduação em Engenharia Mecânica
dc.publisher.initials.fl_str_mv IEN
dc.publisher.country.fl_str_mv Gra-bretanha
dc.publisher.department.fl_str_mv University of Wales (College of Swansea)
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/1954/2/license.txt
http://carpedien.ien.gov.br:8080/xmlui/bitstream/ien/1954/1/PAULO+AUGUSTO+BERQU%C3%93+DE+SAMPAIO+D.pdf
bitstream.checksum.fl_str_mv 8a4605be74aa9ea9d79846c1fba20a33
71355f6eedcf668b2236d4c10f1a2551
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
repository.name.fl_str_mv Dspace IEN
repository.mail.fl_str_mv lsales@ien.gov.br
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