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
2018-01-01

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.
2018
173
273
284
https://doi.org/10.1016/j.compfluid.2018.01.035
https://arxiv.org/abs/1710.11580
Stabile, Giovanni; Rozza, Gianluigi
File in questo prodotto:
File Dimensione Formato  
1710.11580.pdf

accesso aperto

Descrizione: Preprint
Tipologia: Documento in Pre-print
Licenza: Non specificato
Dimensione 960.1 kB
Formato Adobe PDF
960.1 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/82663
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 136
  • ???jsp.display-item.citation.isi??? 105
social impact