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research article
Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations
In this work we present a stable proper orthogonal decomposition (POD)-Galerkin approximation for parametrized steady incompressible Navier-Stokes equations with low Reynolds number. Supremizers solutions are added to the reduced velocity space in order to obtain a stable reduced-order system, considering in particular the fulfillment of an inf-sup condition. The stability analysis is first carried out from a theoretical standpoint, then confirmed by numerical tests performed on a parametrized two-dimensional backward facing step flow.
Type
research article
Web of Science ID
WOS:000352859600009
Authors
Publication date
2015
Publisher
Volume
102
Issue
5
Start page
1136
End page
1161
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
August 7, 2014
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