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.contributor.authorAkbaş, Mine
dc.date.accessioned2025-10-11T20:42:17Z
dc.date.available2025-10-11T20:42:17Z
dc.date.issued2020
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThis paper studies a velocity-vorticity-temperature (VVT) model of the Boussinesq equations and introduces a numerical method for solving that. The proposed numerical method adds separate three minimally intrusive steps, one for each fluid variable, except pressure, to the standard semi-implicit backward-Euler (BE) approximation of VVT-model. The key idea in these intrusive steps is to post-process the BE approximate solutions with 2-step, second order, linear time filters. The paper provides full mathematical analysis of the proposed numerical method, and two numerical experiments for that. The first numerical experiment verifies the predicted convergence rates while the second one shows the effectiveness of the method on a benchmark problem. en_US
dc.identifier.doi10.35378/gujs.681778
dc.identifier.endpage713en_US
dc.identifier.issn2147-1762
dc.identifier.issue3en_US
dc.identifier.startpage696en_US
dc.identifier.urihttps://doi.org/10.35378/gujs.681778
dc.identifier.urihttps://hdl.handle.net/20.500.12684/20915
dc.identifier.volume33en_US
dc.institutionauthorAkbaş, Mine
dc.language.isoenen_US
dc.publisherGazi Üniversitesien_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.snmzKA_DergiPark_20250911
dc.subjectEngineeringen_US
dc.subjectMühendisliken_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.typeResearch Articleen_US

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