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Global and local POD models for the prediction of compressible flows with DG methods

hal.structure.identifierPolitecnico di Torino = Polytechnic of Turin [Polito]
dc.contributor.authorFERRERO, Andrea
hal.structure.identifierModeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
dc.contributor.authorIOLLO, Angelo
hal.structure.identifierPolitecnico di Torino = Polytechnic of Turin [Polito]
dc.contributor.authorLAROCCA, Francesco
dc.date.accessioned2024-04-04T03:02:27Z
dc.date.available2024-04-04T03:02:27Z
dc.date.issued2018-11-02
dc.identifier.issn0029-5981
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192983
dc.description.abstractEnProper Orthogonal Decomposition (POD) allows to compress information by identifying the most energetic modes obtained from a database of snapshots. In this work, POD is used to predict the behavior of compressible flows by means of global and local approaches which exploit some features of a discontinuous Galerkin spatial discretization. The presented global approach requires the definition of high-order and low-order POD bases which are built from a database of high-fidelity simulations. Predictions are obtained by performing a cheap low-order simulation whose solution is projected on the low-order basis. The projection coefficients are then used for the reconstruction with the high-order basis. However, the non-linear behavior related to the advection term of the governing equations makes the use of global POD bases quite problematic. For this reason, a second approach is presented in which an empirical POD basis is defined in each element of the mesh. This local approach is more intrusive with respect to the global approach but it is able to capture better the non-linearities related to advection. The two approaches are tested and compared on the inviscid compressible flow around a gas-turbine cascade and on the compressible turbulent flow around a wind turbine airfoil.
dc.language.isoen
dc.publisherWiley
dc.subject.enPOD
dc.subject.enCompressible flows
dc.subject.enDiscontinuous Galerkin
dc.subject.enReduced Order Model
dc.subject.enRANS
dc.title.enGlobal and local POD models for the prediction of compressible flows with DG methods
dc.typeArticle de revue
dc.identifier.doi10.1002/nme.5927
dc.subject.halInformatique [cs]/Modélisation et simulation
dc.subject.halSciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des fluides [physics.class-ph]
dc.description.sponsorshipEuropeAeroelastic Gust Modelling
bordeaux.journalInternational Journal for Numerical Methods in Engineering
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01908303
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01908303v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=International%20Journal%20for%20Numerical%20Methods%20in%20Engineering&rft.date=2018-11-02&rft.eissn=0029-5981&rft.issn=0029-5981&rft.au=FERRERO,%20Andrea&IOLLO,%20Angelo&LAROCCA,%20Francesco&rft.genre=article


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