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Convergence towards weak solutions of the Navier-Stokes equations for a finite element approximation with numerical subgrid-scale modelling

Autor
Badia, S.; Gutierrez, V.
Tipus d'activitat
Article en revista
Revista
IMA journal of numerical analysis
Data de publicació
2014-07
Volum
34
Número
3
Pàgina inicial
1193
Pàgina final
1221
DOI
https://doi.org/10.1093/imanum/drt023 Obrir en finestra nova
URL
http://imajna.oxfordjournals.org/content/34/3/1193 Obrir en finestra nova
Resum
Residual-based stabilized finite element (FE) 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 (VMS) framework, based on the decomposition of the fluid velocity into a resolvable FE component plus a modelled subgrid-scale component. The subgrid closure acts as a large eddy simulation turbulence mo...
Paraules clau
DENSITY, EXISTENCE, FLUIDS, MASS DIFFUSION, Navier-Stokes equations, PRESSURE, SPACE, STABILITY, SUBSCALES, convergence, stability, stabilized finite element methods, subgrid scales, variational multiscale methods
Grup de recerca
(MC)2 - UPC Mecànica de Medis Continus i Computacional
ANiComp - Anàlisi numèrica i computació científica

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