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.
François Gallaire, Edouard Boujo, Yves-Marie François Ducimetière, Shahab Eghbali
François Gallaire, Pier Giuseppe Ledda, Giovanni Vagnoli
Edouard Boujo, Giuseppe Antonio Zampogna