Analysis of continuous data assimilation scheme for the Navier-Stokes equations using variational multiscale method

Basit Öğe Kaydı
dc.authoridHacat, Gulnur/0000-0001-7343-8466
dc.authorwosidHacat, Gulnur/HIR-1580-2022
dc.contributor.authorHaçat, Gülnur
dc.contributor.authorAkbaş, Mine
dc.contributor.authorÇıbık, Aytekin
dc.date.accessioned2023-07-26T11:55:14Z
dc.date.available2023-07-26T11:55:14Z
dc.date.issued2023
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this study, we analyse a continuous data assimilation (CDA) scheme which enables us to combine an observable data with a numerical method to obtain better solutions in which these solutions are also closely similar to the current state of the system. The scheme is applied on a Navier-Stokes system which is discretized with two-step Backward Differentiation Formula (BDF2) in time and finite element in space. In order to improve the accuracy and prevent some non-physical oscillations due to the effect of small viscosity and the dominance of convection, a projection based variational multiscale method (VMS) has also been applied to the system. We present the long-time stability and long-time convergence analyses of the scheme in details and several numerical tests in order to support theoretical findings and demonstrate the promise of the method.en_US
dc.identifier.doi10.1016/j.jocs.2022.101914
dc.identifier.issn1877-7503
dc.identifier.issn1877-7511
dc.identifier.scopus2-s2.0-85145593084en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1016/j.jocs.2022.101914
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13027
dc.identifier.volume66en_US
dc.identifier.wosWOS:000912933500006en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorAkbaş, Mine
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofJournal of Computational Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subjectFinite Element Method; Continuous Data Assimilation; Navier-Stokes Equations; Variational Multiscale Methoden_US
dc.subjectBenard Convection; Algorithmen_US
dc.titleAnalysis of continuous data assimilation scheme for the Navier-Stokes equations using variational multiscale methoden_US
dc.typeArticleen_US

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
Küçük Resim Yok
İsim:
13027.pdf
Boyut:
804.44 KB
Biçim:
Adobe Portable Document Format
Açıklama:
Tam Metin / Full Text
İndir

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu