In this work a stabilised and reduced Galerkin projection of the incompressible unsteady Navier–Stokes equations for moderate Reynolds number is presented. The full-order model, on which the Galerkin projection is applied, is based on a finite volumes approximation. The reduced basis spaces are constructed with a POD approach. Two different pressure stabilisation strategies are proposed and compared: the former one is based on the supremizer enrichment of the velocity space, and the latter one is based on a pressure Poisson equation approach.

@article{StabileRozza2018,
title = {Finite volume POD-Galerkin stabilised reduced order methods for the parametrised
incompressible Navier--Stokes equations},
journal = {Computers & Fluids},
year = {2018},
author = {Stabile, Giovanni and Gianluigi Rozza},
doi = {10.1016/j.compfluid.2018.01.035}
}