Unconditional Long Time H(1)(-)Stability of a Velocity-Vorticity-Temperature Scheme for the 2D-Boussinesq System

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dc.contributor.authorAkbas, Mine
dc.date.accessioned2021-12-01T18:47:36Z
dc.date.available2021-12-01T18:47:36Z
dc.date.issued2020
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis paper proposes, analyzes and tests a velocity-vorticity-temperature (VVT) scheme for incompressible, non-isothermal fluid flow. VVT consists of complementing of the usual velocity-pressure-temperature system with the vorticity equation, coupling the systems through the convective terms. The proposed scheme uses BDF2LE time stepping, and a finite element spatial discretization. At each time step, the velocity-pressure equation, the vorticity equation and the temperature equation are all decoupled. A full analysis of the method is given that proves unconditional long-time H-1-stability, and shows the optimal convergence both in time and space. Theoretical convergence results are confirmed by a numerical test, and the effectiveness of the algorithm is revealed on a benchmark problem for Marsigli flow.en_US
dc.identifier.doi10.4208/aamm.OA-2019-0122
dc.identifier.endpage1195en_US
dc.identifier.issn2070-0733
dc.identifier.issn2075-1354
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85090164339en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage1166en_US
dc.identifier.urihttps://doi.org/10.4208/aamm.OA-2019-0122
dc.identifier.urihttps://hdl.handle.net/20.500.12684/10323
dc.identifier.volume12en_US
dc.identifier.wosWOS:000554983200004en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorAkbas, Mine
dc.language.isoenen_US
dc.publisherGlobal Science Pressen_US
dc.relation.ispartofAdvances In Applied Mathematics And Mechanicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectLong time stabilityen_US
dc.subjectincompressible flowen_US
dc.subjectvorticity equationen_US
dc.subjectfinite element methoden_US
dc.subjectNavier-Stokes Equationsen_US
dc.subjectFinite-Element Approximationen_US
dc.subjectError Analysisen_US
dc.subjectStabilityen_US
dc.subjectFormulationen_US
dc.subjectSolveren_US
dc.subjectFormen_US
dc.subjectDensityen_US
dc.subjectFlowsen_US
dc.titleUnconditional Long Time H(1)(-)Stability of a Velocity-Vorticity-Temperature Scheme for the 2D-Boussinesq Systemen_US
dc.typeArticleen_US

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