Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations
For researchers in computational fluid dynamics, this paper provides a comparison of two stabilisation techniques for reduced-order models based on finite volume discretizations, which is an incremental contribution to the field.
This work develops stabilised reduced-order models for the parametrised incompressible Navier-Stokes equations using finite volume full-order models and POD. Two pressure stabilisation strategies (supremizer enrichment and pressure Poisson equation) are compared, showing that the supremizer approach yields more accurate results for moderate Reynolds numbers.
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.