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dc.contributor.authorBadia, Santiago
dc.contributor.authorGutiérrez Santacreu, Juan Vicente
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Resistència de Materials i Estructures a l'Enginyeria
dc.date.accessioned2012-11-14T17:48:02Z
dc.date.available2012-11-14T17:48:02Z
dc.date.created2012
dc.date.issued2012
dc.identifier.citationBadia, S.; Gutiérrez, J. V. "Convergence towards weak solutions of the Navier-Stokes equations for a finite element approximation with numerical subgrid scale modeling". 2012.
dc.identifier.urihttp://hdl.handle.net/2117/16920
dc.description.abstractResidual-based stabilized nite element techniques for the Navier-Stokes equations lead to numerical discretizations that provide convection stabilization as well as pressure stability without the need to satisfy an inf-sup condition. They can be motivated by using a variational multiscale framework, based on the decomposition of the uid velocity into a resolvable nite element component plus a modeled subgrid scale component. The subgrid closure acts as a large eddy simulation turbulence model, leading to accurate under-resolved simulations. However, even though variational multiscale formulations are increasingly used in the applied nite element community, their numerical analysis has been restricted to a priori estimates and convergence to smooth solutions only, via a priori error estimates. In this work we prove that some versions of these methods (based on dynamic and orthogonal closures) also converge to weak (turbulent) solutions of the Navier-Stokes equations. These results are obtained by using compactness results in Bochner-Lebesgue spaces. Navier-Stokes equations; stability; convergence; stabilized nite element methods; subgrid scales; variational multiscale methods.
dc.format.extent35 p.
dc.language.isoeng
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
dc.subject.lcshNavier-Stokes equations
dc.titleConvergence towards weak solutions of the Navier-Stokes equations for a finite element approximation with numerical subgrid scale modeling
dc.typeExternal research report
dc.subject.lemacEquacions de Navier-Stokes
dc.contributor.groupUniversitat Politècnica de Catalunya. (MC)2 - Grup de Mecànica Computacional en Medis Continus
dc.rights.accessOpen Access
drac.iddocument11052502
dc.description.versionPreprint
dc.relation.projectidinfo:eu-repo/grantAgreement/EC/FP7/258443/EU/Computational Methods for Fusion Technology/COMFUS
upcommons.citation.authorBadia, S.; Gutiérrez, J. V.
upcommons.citation.publishedtrue
upcommons.citation.publicationNameConvergence towards weak solutions of the Navier-Stokes equations for a finite element approximation with numerical subgrid scale modeling


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