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

Author
Baiges, J.; Codina, R.; Idelsohn, Sergio R.
Type of activity
Journal article
Journal
International journal for numerical methods in fluids
Date of publication
2013-08-30
Volume
72
Number
12
First page
1219
Last page
1243
DOI
https://doi.org/10.1002/fld.3777 Open in new window
Project funding
ERC-2009-AdG ‘‘Real Time Computational Mechanics Techniques for Multi-Fluid Problems’’.
URL
http://onlinelibrary.wiley.com/doi/10.1002/fld.3777/abstract Open in new window
Abstract
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...
Keywords
Navier-Stokes, POD: proper orthogonal decomposition, explicit, finite element, reduced-order modeling, stabilized method
Group of research
(MC)2 - UPC Computational continuum mechanics
ANiComp - Numerical analysis and scientific computation

Participants