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Erschienen in: Journal of Scientific Computing 1/2017

17.10.2016

Convergence to Suitable Weak Solutions for a Finite Element Approximation of the Navier–Stokes Equations with Numerical Subgrid Scale Modeling

verfasst von: Santiago Badia, Juan Vicente Gutiérrez-Santacreu

Erschienen in: Journal of Scientific Computing | Ausgabe 1/2017

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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.

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Metadaten
Titel
Convergence to Suitable Weak Solutions for a Finite Element Approximation of the Navier–Stokes Equations with Numerical Subgrid Scale Modeling
verfasst von
Santiago Badia
Juan Vicente Gutiérrez-Santacreu
Publikationsdatum
17.10.2016
Verlag
Springer US
Erschienen in
Journal of Scientific Computing / Ausgabe 1/2017
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI
https://doi.org/10.1007/s10915-016-0304-8

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