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The DGDD Method for Reduced-Order Modeling of Conservation Laws

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierModeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
dc.contributor.authorRIFFAUD, Sébastien
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierModeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
dc.contributor.authorBERGMANN, Michel
hal.structure.identifierDepartment of Aeronautics and Astronautics [Stanford] [AA Stanford]
hal.structure.identifierDepartment of Mechanical Engineering [Stanford]
hal.structure.identifierInstitute for Computational and Mathematical Engineering [Stanford] [ICME]
dc.contributor.authorFARHAT, Charbel
hal.structure.identifierDepartment of Aeronautics and Astronautics [Stanford] [AA Stanford]
dc.contributor.authorGRIMBERG, Sebastian
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierModeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
dc.contributor.authorIOLLO, Angelo
dc.date.issued2021
dc.identifier.issn0021-9991
dc.description.abstractEnThe discontinuous Galerkin domain decomposition (DGDD) method couples subdomains of high-fidelity polynomial approximation to regions of low-dimensional resolution for the numerical solution of systems of conservation laws. In the low-fidelity regions, the solution is approximated by empirical modes constructed by Proper Orthogonal Decomposition and a reduced-order model is used to predict the solution. The high-dimensional model instead solves the system of conservation laws only in regions where the solution is not amenable to a low-dimensional representation. The coupling between the high-dimensional and the reduced-order models is then performed in a straightforward manner through numerical fluxes at discrete cell boundaries. We show results from application of the proposed method to parametric problems governed by the quasi-1D and 2D compressible Euler equations. In particular, we investigate the prediction of unsteady flows in a converging-diverging nozzle and over a NACA0012 airfoil in presence of shocks. The results demonstrate the stability and the accuracy of the proposed method and the significant reduction of the computational cost with respect to the high-dimensional model.
dc.language.isoen
dc.publisherElsevier
dc.subject.enReduced-order model
dc.subject.enDomain decomposition
dc.subject.enProper Orthogonal Decomposition
dc.subject.enDiscontinuous Galerkin method
dc.subject.enECSW method
dc.title.enThe DGDD Method for Reduced-Order Modeling of Conservation Laws
dc.typeArticle de revue
dc.identifier.doi10.1016/j.jcp.2021.110336
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halInformatique [cs]/Modélisation et simulation
dc.description.sponsorshipEuropeAccurate Roms for Industrial Applications
bordeaux.journalJournal of Computational Physics
bordeaux.volume437
bordeaux.peerReviewedoui
hal.identifierhal-03213731
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03213731v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Computational%20Physics&rft.date=2021&rft.volume=437&rft.eissn=0021-9991&rft.issn=0021-9991&rft.au=RIFFAUD,%20S%C3%A9bastien&BERGMANN,%20Michel&FARHAT,%20Charbel&GRIMBERG,%20Sebastian&IOLLO,%20Angelo&rft.genre=article


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