Publication

Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations

Alfio Quarteroni, Gianluigi Rozza, Andrea Manzoni
2015
Journal Articles

Abstract

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.

Official source

https://infoscience.epfl.ch/entities/publication/c3e84790-7445-41d9-9ba8-616de21a9a15

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Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations

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