Modular grad-div stabilization for the incompressible non-isothermal fluid flows

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dc.contributor.authorAkbas, Mine
dc.contributor.authorRebholz, Leo G.
dc.date.accessioned2021-12-01T18:47:56Z
dc.date.available2021-12-01T18:47:56Z
dc.date.issued2021
dc.department[Belirlenecek]en_US
dc.description.abstractThis paper considers a modular grad-div stabilization method for approximating solutions of the time-dependent Boussinesq model of non-isothermal flows. The proposed method adds a minimally intrusive step to an existing Boussinesq code, with the key idea being that the penalization of the divergence errors, is only in the extra step (i.e. nothing is added to the original equations). The paper provides a full mathematical analysis by proving unconditional stability and optimal convergence of the methods considered. Numerical experiments confirm theoretical findings, and show that the algorithms have a similar positive effect as the usual grad-div stabilization. (C) 2020 Elsevier Inc. All rights reserved.en_US
dc.description.sponsorshipNSFNational Science Foundation (NSF) [DMS1522191]en_US
dc.description.sponsorshipThis work was partially supported by NSF grant DMS1522191.en_US
dc.identifier.doi10.1016/j.amc.2020.125748
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.scopus2-s2.0-85096686166en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1016/j.amc.2020.125748
dc.identifier.urihttps://hdl.handle.net/20.500.12684/10415
dc.identifier.volume393en_US
dc.identifier.wosWOS:000600775400005en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Incen_US
dc.relation.ispartofApplied Mathematics And Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectModular grad-diven_US
dc.subjectfinite element methoden_US
dc.subjectthe Boussinesq systemen_US
dc.subjectFinite-Element Methodsen_US
dc.subjectStokes Equationsen_US
dc.subjectFrameworken_US
dc.subjectAccuracyen_US
dc.titleModular grad-div stabilization for the incompressible non-isothermal fluid flowsen_US
dc.typeArticleen_US

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