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.

Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier–Stokes equations / Stabile, Giovanni; Rozza, Gianluigi. - In: COMPUTERS & FLUIDS. - ISSN 0045-7930. - 173(2018), pp. 273-284. [10.1016/j.compfluid.2018.01.035]

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

Stabile, Giovanni
;
Rozza, Gianluigi
2018

Abstract

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.
173
273
284
https://doi.org/10.1016/j.compfluid.2018.01.035
https://arxiv.org/abs/1710.11580
Stabile, Giovanni; Rozza, Gianluigi
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/82663
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