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

Autor
Badia, S.; Gutierrez, V.
Tipus d'activitat
Article en revista
Revista
Journal of scientific computing
Data de publicació
2017-04
Volum
71
Número
1
Pàgina inicial
386
Pàgina final
413
DOI
https://doi.org/10.1007/s10915-016-0304-8 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/102087 Obrir en finestra nova
URL
http://link.springer.com/article/10.1007%2Fs10915-016-0304-8 Obrir en finestra nova
Resum
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-...
Citació
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.
Paraules clau
Navier–Stokes equations, Stabilized finite element methods, Subgrid scales, Suitable weak solutions
Grup de recerca
(MC)2 - UPC Mecànica de Medis Continus i Computacional
ANiComp - Anàlisi numèrica i computació científica

Participants

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