Convergence to suitable weak solutions for a finite element approximation of the Navier–Stokes equations with numerical subgrid scale modeling

The final publication is available at Springer via http://dx.doi.org/10.1007/s10915-016-0304-8

Detalles Bibliográficos
Autores: Badia, Santiago|||0000-0003-2391-4086, Gutierrez Santacreu, Vicente
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/102087
Acceso en línea:https://hdl.handle.net/2117/102087
https://dx.doi.org/10.1007/s10915-016-0304-8
Access Level:acceso abierto
Palabra clave:Navier-Stokes equations--Numerical solutions
Navier–Stokes equations
Suitable weak solutions
Stabilized finite element methods
Subgrid scales
Navier-Stokes, Equacions
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
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spelling Convergence to suitable weak solutions for a finite element approximation of the Navier–Stokes equations with numerical subgrid scale modelingBadia, Santiago|||0000-0003-2391-4086Gutierrez Santacreu, VicenteNavier-Stokes equations--Numerical solutionsNavier–Stokes equationsSuitable weak solutionsStabilized finite element methodsSubgrid scalesNavier-Stokes, EquacionsÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finitsThe final publication is available at Springer via http://dx.doi.org/10.1007/s10915-016-0304-8In this work we prove that weak solutions constructed by a variational multiscale method are suitable in the sense of Scheffer. In order to prove this result, we consider a subgrid model that enforces orthogonality between subgrid and finite element components. Further, the subgrid component must be tracked in time. Since this type of schemes introduce pressure stabilization, we have proved the result for equal-order velocity and pressure finite element spaces that do not satisfy a discrete inf-sup condition.Peer Reviewed20172017-04-0120172017-03-07journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/102087https://dx.doi.org/10.1007/s10915-016-0304-8reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1020872026-05-27T15:37:01Z
dc.title.none.fl_str_mv Convergence to suitable weak solutions for a finite element approximation of the Navier–Stokes equations with numerical subgrid scale modeling
title Convergence to suitable weak solutions for a finite element approximation of the Navier–Stokes equations with numerical subgrid scale modeling
spellingShingle Convergence to suitable weak solutions for a finite element approximation of the Navier–Stokes equations with numerical subgrid scale modeling
Badia, Santiago|||0000-0003-2391-4086
Navier-Stokes equations--Numerical solutions
Navier–Stokes equations
Suitable weak solutions
Stabilized finite element methods
Subgrid scales
Navier-Stokes, Equacions
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
title_short Convergence to suitable weak solutions for a finite element approximation of the Navier–Stokes equations with numerical subgrid scale modeling
title_full Convergence to suitable weak solutions for a finite element approximation of the Navier–Stokes equations with numerical subgrid scale modeling
title_fullStr Convergence to suitable weak solutions for a finite element approximation of the Navier–Stokes equations with numerical subgrid scale modeling
title_full_unstemmed Convergence to suitable weak solutions for a finite element approximation of the Navier–Stokes equations with numerical subgrid scale modeling
title_sort Convergence to suitable weak solutions for a finite element approximation of the Navier–Stokes equations with numerical subgrid scale modeling
dc.creator.none.fl_str_mv Badia, Santiago|||0000-0003-2391-4086
Gutierrez Santacreu, Vicente
author Badia, Santiago|||0000-0003-2391-4086
author_facet Badia, Santiago|||0000-0003-2391-4086
Gutierrez Santacreu, Vicente
author_role author
author2 Gutierrez Santacreu, Vicente
author2_role author
dc.subject.none.fl_str_mv Navier-Stokes equations--Numerical solutions
Navier–Stokes equations
Suitable weak solutions
Stabilized finite element methods
Subgrid scales
Navier-Stokes, Equacions
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
topic Navier-Stokes equations--Numerical solutions
Navier–Stokes equations
Suitable weak solutions
Stabilized finite element methods
Subgrid scales
Navier-Stokes, Equacions
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
description The final publication is available at Springer via http://dx.doi.org/10.1007/s10915-016-0304-8
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-04-01
2017
2017-03-07
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/102087
https://dx.doi.org/10.1007/s10915-016-0304-8
url https://hdl.handle.net/2117/102087
https://dx.doi.org/10.1007/s10915-016-0304-8
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300724

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