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Advances in Reduced order modelling for CFD: vortex shedding around a circular cylinder using a POD-Galerkin method

TitleAdvances in Reduced order modelling for CFD: vortex shedding around a circular cylinder using a POD-Galerkin method
Publication TypeJournal Article
Year of Publication2017
AuthorsStabile, G, Hijazi, SNY, Lorenzi, S, Mola, A, Rozza, G
JournalCommunication in Applied Industrial Mathematics
Type of Articlereviewed
Other Numbershttps://arxiv.org/abs/1701.03424
Keywordsfinite volume, CFD; Reduced order methods
Abstract

Vortex shedding around circular cylinders is a well known and studied phenomenon that appears in many engineering fields. In this work a Reduced Order Model (ROM) of the incompressible flow around a circular cylinder, built performing a Galerkin projection of the governing equations onto a lower dimensional space is presented. The reduced basis space is generated using a Proper Orthogonal Decomposition (POD) approach. In particular the focus is into (i) the correct reproduction of the pressure field, that in case of the vortex shedding phenomenon, is of primary importance for the calculation of the drag and lift coefficients; (ii) for this purpose the projection of the Governing equations (momentum equation and Poisson equation for pressure) is performed onto different reduced basis space for velocity and pressure, respectively; (iii) all the relevant modifications necessary to adapt standard finite element POD-Galerkin methods to a finite volume framework are presented. The accuracy of the reduced order model is assessed against full order results.

URLhttps://arxiv.org/abs/1701.03424

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