A reduced order variational multiscale approach for turbulent flows

Francesco Ballarin, Giovanni Stabile, Giacomo Zuccarino, Gianluigi Rozza

Risultato della ricerca: Contributo in rivistaArticolo in rivista

27 Citazioni (Scopus)


The purpose of this work is to present different reduced order model strategies starting from full order simulations stabilized using a residual-based variational multiscale (VMS) approach. The focus is on flows with moderately high Reynolds numbers. The reduced order models (ROMs) presented in this manuscript are based on a POD-Galerkin approach. Two different reduced order models are presented, which differ on the stabilization used during the Galerkin projection. In the first case, the VMS stabilization method is used at both the full order and the reduced order levels. In the second case, the VMS stabilization is used only at the full order level, while the projection of the standard Navier-Stokes equations is performed instead at the reduced order level. The former method is denoted as consistent ROM, while the latter is named non-consistent ROM, in order to underline the different choices made at the two levels. Particular attention is also devoted to the role of inf-sup stabilization by means of supremizers in ROMs based on a VMS formulation. Finally, the developed methods are tested on a numerical benchmark.
Lingua originaleEnglish
pagine (da-a)2349-2368
Numero di pagine20
RivistaAdvances in Computational Mathematics
Stato di pubblicazionePubblicato - 2019


  • High Reynolds number flows
  • Navier-Stokes equations
  • Reduced order methods
  • Variational multiscale


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