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Shifted boundary polynomial corrections for compressible flows: high order on curved domains using linear meshes

hal.structure.identifierÉcole Nationale Supérieure d'Arts et Métiers (ENSAM) - Bordeaux
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorCIALLELLA, Mirco
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorGABURRO, Elena
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorLORINI, Marco
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorRICCHIUTO, Mario
dc.date.accessioned2024-04-04T02:35:35Z
dc.date.available2024-04-04T02:35:35Z
dc.date.issued2023-03
dc.identifier.issn0096-3003
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190653
dc.description.abstractEnIn this work we propose a simple but effective high order polynomial correction allowing to enhance the consistency of all kind of boundary conditions for the Euler equations (Dirichlet, characteristic far-field and slip-wall), both in 2D and 3D, preserving a high order of accuracy without the need of curved meshes. The method proposed is a simplified reformulation of the Shifted Boundary Method (SBM) and relies on a correction based on the extrapolated value of the in cell polynomial to the true geometry, thus not requiring the explicit evaluation of high order Taylor series. Moreover, this strategy could be easily implemented into any already existing finite element and finite volume code. Several validation tests are presented to prove the convergence properties up to order four for 2D and 3D simulations with curved boundaries, as well as an effective extension to flows with shocks.
dc.language.isoen
dc.publisherElsevier
dc.subjectApplied Mathematics
dc.subjectComputational Mathematics
dc.subjectCompressible flows
dc.subjectCurved boundaries
dc.subjectUnstructured linear meshes
dc.subjectShifted Boundary Method
dc.subjectDiscontinuous Galerkin
dc.title.enShifted boundary polynomial corrections for compressible flows: high order on curved domains using linear meshes
dc.typeArticle de revue
dc.identifier.doi10.1016/j.amc.2022.127698
dc.subject.halMathématiques [math]
dc.identifier.arxiv2209.14892
dc.description.sponsorshipEuropeStructure Preserving schemes for Conservation Laws on Space Time Manifolds
bordeaux.journalApplied Mathematics and Computation
bordeaux.page127698
bordeaux.volume441
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue15
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-03865587
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03865587v1
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