Improving accuracy in the Leray model for incompressible nonisothermal flows via adaptive deconvolution-based nonlinear filtering

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dc.contributor.authorAkbas, Mine
dc.contributor.authorBowers, Abigail
dc.date.accessioned2021-12-01T18:48:15Z
dc.date.available2021-12-01T18:48:15Z
dc.date.issued2021
dc.department[Belirlenecek]en_US
dc.description.abstractThis paper considers a Leray regularization model of incompressible, nonisothermal fluid flows which uses nonlinear filtering based on indicator functions and introduces an efficient numerical method for solving it. The proposed method uses a multistep, second-order temporal discretization with a finite element (FE) spatial discretization in such a way that the resulting algorithm is linear at each time level and decouples the evolution equations from the velocity filter step. Since the indicator function chosen in this model is mathematically based on approximation theory, the proposed numerical algorithm can be analyzed robustly, i.e., the stability and convergence of the method is provable. A series of numerical tests are carried out to verify the theoretical convergence rates and to compare the algorithm with direct numerical simulation and the usual Leray-alpha model of the flow problem.en_US
dc.identifier.doi10.1002/mma.7217
dc.identifier.endpage6699en_US
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issue8en_US
dc.identifier.scopus2-s2.0-85100881190en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage6679en_US
dc.identifier.urihttps://doi.org/10.1002/mma.7217
dc.identifier.urihttps://hdl.handle.net/20.500.12684/10493
dc.identifier.volume44en_US
dc.identifier.wosWOS:000619071900001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofMathematical Methods In The Applied Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectfinite element methoden_US
dc.subjectLeray regularizationen_US
dc.subjectnonisothermal fluid flowsen_US
dc.subjectnonlinear fillteringen_US
dc.titleImproving accuracy in the Leray model for incompressible nonisothermal flows via adaptive deconvolution-based nonlinear filteringen_US
dc.typeArticleen_US

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