An Adaptive Time Filter Based Finite Element Method for the Velocity-Vorticity-Temperature Model of the Incompressible Non-Isothermal Fluid Flows

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dc.authorid
dc.contributor.authorAkbas, Mine
dc.date.accessioned2021-12-01T18:22:51Z
dc.date.available2021-12-01T18:22:51Z
dc.date.issued2020
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis paper studies a velocity-vorticity-temperature (VVT) model of the Boussinesqequations and introduces a numerical method for solving that. The proposed numericalmethod adds separate three minimally intrusive steps, one for each fluid variable, exceptpressure, to the standard semi-implicit backward-Euler (BE) approximation of VVTmodel.The key idea in these intrusive steps is to post-process the BE approximatesolutions with 2-step, second order, linear time filters. The paper provides fullmathematical analysis of the proposed numerical method, and two numericalexperiments for that. The first numerical experiment verifies the predicted convergencerates while the second one shows the effectiveness of the method on a benchmarkproblem.en_US
dc.identifier.doi10.35378/gujs.681778
dc.identifier.endpage713en_US
dc.identifier.issn2147-1762
dc.identifier.issn2147-1762
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85090095639en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage696en_US
dc.identifier.urihttps://doi.org/10.35378/gujs.681778
dc.identifier.urihttps://app.trdizin.gov.tr/makale/TXpZME1qTTVPUT09
dc.identifier.urihttps://hdl.handle.net/20.500.12684/9581
dc.identifier.volume33en_US
dc.identifier.wosWOS:000597098300008en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakTR-Dizinen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.institutionauthorAkbas, Mine
dc.language.isoenen_US
dc.relation.ispartofGazi University Journal of Scienceen_US
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subject[No Keywords]en_US
dc.titleAn Adaptive Time Filter Based Finite Element Method for the Velocity-Vorticity-Temperature Model of the Incompressible Non-Isothermal Fluid Flowsen_US
dc.typeArticleen_US

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