Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations

摘要

In this work a stabilised and reduced Galerkin projection of theincompressible unsteady Navier-Stokes equations for moderate Reynolds number ispresented. The full-order model, on which the Galerkin projection is applied,is based on a finite volumes approximation. The reduced basis spaces areconstructed with a POD approach. Two different pressure stabilisationstrategies are proposed and compared: the former one is based on the supremizerenrichment of the velocity space, and the latter one is based on a pressurePoisson equation approach.