Vortex shedding around circular cylinders is a well known and studied phenomenon that appears in many engineering fields. A Reduced Order Model (ROM) of the incom- pressible flow around a circular cylinder is presented in this work. The ROM is built performing a Galerkin projection of the governing equations onto a lower dimensional space. 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 pres- sure field, that in case of the vortex shedding phenomenon, is of primary importance for the calculation of the drag and lift coefficients; (ii) the projection of the Governing equations (momentum equation and Poisson equation for pressure) performed onto dif- ferent 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. The accuracy of the reduced order model is assessed against full order results.
POD-Galerkin reduced order methods for CFD using Finite Volume Discretisation: vortex shedding around a circular cylinder / Stabile, Giovanni; Hijazi, Saddam; Mola, Andrea; Lorenzi, Stefano; Rozza, Gianluigi. - In: COMMUNICATIONS IN APPLIED AND INDUSTRIAL MATHEMATICS. - ISSN 2038-0909. - 8:1(2017), pp. 210-236.
Titolo: | POD-Galerkin reduced order methods for CFD using Finite Volume Discretisation: vortex shedding around a circular cylinder |
Autori: | Stabile, Giovanni; Hijazi, Saddam; Mola, Andrea; Lorenzi, Stefano; Rozza, Gianluigi |
Rivista: | |
Data di pubblicazione: | 2017 |
Volume: | 8 |
Fascicolo: | 1 |
Pagina iniziale: | 210 |
Pagina finale: | 236 |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1515/caim-2017-0011 |
Fulltext via DOI: | http://dx.doi.org/10.1515/caim-2017-0011 |
Appare nelle tipologie: | 1.1 Journal article |
File in questo prodotto:
File | Descrizione | Tipologia | Licenza | |
---|---|---|---|---|
[Communications in Applied and Industrial Mathematics] POD-Galerkin reduced order methods for CFD using Finite Volume Discretisation vortex shedding around a circular cylinder.pdf | Versione Editoriale (PDF) | ![]() | Open Access Visualizza/Apri |