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Explicit reduced-order models for the stabilized finite element approximation of the incompressible Navier-Stokes equations

Autor
Baiges, J.; Codina, R.; Idelsohn, Sergio R.
Tipus d'activitat
Article en revista
Revista
International journal for numerical methods in fluids
Data de publicació
2013-08-30
Volum
72
Número
12
Pàgina inicial
1219
Pàgina final
1243
DOI
https://doi.org/10.1002/fld.3777 Obrir en finestra nova
Projecte finançador
ERC-2009-AdG ‘‘Real Time Computational Mechanics Techniques for Multi-Fluid Problems’’.
URL
http://onlinelibrary.wiley.com/doi/10.1002/fld.3777/abstract Obrir en finestra nova
Resum
In this paper, we present an explicit formulation for reduced-order models of the stabilized finite element approximation of the incompressible Navier-Stokes equations. The basic idea is to build a reduced-order model based on a proper orthogonal decomposition and a Galerkin projection and treat all the terms in an explicit way in the time integration scheme, including the pressure. This is possible because the reduced model snapshots do already fulfill the continuity equation. The pressure fiel...
Paraules clau
Navier-Stokes, POD: proper orthogonal decomposition, explicit, finite element, reduced-order modeling, stabilized method
Grup de recerca
(MC)2 - UPC Mecànica de Medis Continus i Computacional
ANiComp - Anàlisi numèrica i computació científica

Participants