Codice 13/2014 Titolo Supremizer stabilization of POD-Galerkin approximation of parametrized Navier-Stokes equations Data 2014-04-21 Autore/i Ballarin, F.; Manzoni, A.; Quarteroni, A.; Rozza, G. Link Download full text Pubblicato International Journal for Numerical Methods in Engineering Abstract In this work we present a stable proper orthogonal decomposition (POD)-Galerkin approximation for parametrized steady Navier-Stokes equations. The stabilization is guaranteed by the use of supremizers solutions that enrich the reduced velocity space. Numerical results show that an equivalent inf-sup condition is fulfilled, yielding stability for both velocity and pressure. Our 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.