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

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/102087

dc.contributor	Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.contributor	Universitat Politècnica de Catalunya. ANiComp - Anàlisi numèrica i computació científica
dc.contributor.author	Badia, Santiago
dc.contributor.author	Gutierrez Santacreu, Vicente
dc.date	2017-04
dc.identifier.citation	Badia, S., Gutierrez, V. Convergence to suitable weak solutions for a finite element approximation of the Navier–Stokes equations with numerical subgrid scale modeling. "Journal of scientific computing", Abril 2017, vol. 71, núm. 1, p. 386-413.
dc.identifier.citation	0885-7474
dc.identifier.citation	10.1007/s10915-016-0304-8
dc.identifier.uri	http://hdl.handle.net/2117/102087
dc.language.iso	eng
dc.relation	http://link.springer.com/article/10.1007%2Fs10915-016-0304-8
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
dc.subject	Navier-Stokes equations--Numerical solutions
dc.subject	Navier–Stokes equations
dc.subject	Suitable weak solutions
dc.subject	Stabilized finite element methods
dc.subject	Subgrid scales
dc.subject	Navier-Stokes, Equacions
dc.title	Convergence to suitable weak solutions for a finite element approximation of the Navier–Stokes equations with numerical subgrid scale modeling
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	The final publication is available at Springer via http://dx.doi.org/10.1007/s10915-016-0304-8
dc.description.abstract	In 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.
dc.description.abstract	Peer Reviewed

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