Finite difference approximations of multidimensional convection-diffusion-reaction problems with small diffusion on a special grid

Basit Öğe Kaydı
dc.contributor.authorKaya, Adem
dc.contributor.authorŞendur, Ali
dc.date.accessioned2021-02-19T21:16:37Z
dc.date.available2021-02-19T21:16:37Z
dc.date.issued2015
dc.departmentALKÜ
dc.descriptionkaya, Adem/0000-0001-5838-3284; Sendur, Ali/0000-0001-8628-5497
dc.description.abstractA numerical scheme for the convection-diffusion-reaction (CDR) problems is studied herein. We propose a finite difference method on a special grid for solving CDR problems particularly designed to treat the most interesting case of small diffusion. We use the subgrid nodes in the Link-cutting bubble (LCB) strategy [5] to construct a numerical algorithm that can easily be extended to the higher dimensions. The method adapts very well to all regimes with continuous transitions from one regime to another. We also compare the performance of the present method with the Streamline-upwind Petrov-Galerkin (SUPG) and the Residual-Free Bubbles (RFB) methods on several benchmark problems. The numerical experiments confirm the good performance of the proposed method. (C) 2015 Elsevier Inc. All rights reserved.
dc.identifier.doi10.1016/j.jcp.2015.08.007
dc.identifier.endpage591en_US
dc.identifier.issn0021-9991
dc.identifier.issn1090-2716
dc.identifier.scopusqualityQ1
dc.identifier.startpage574en_US
dc.identifier.urihttps://doi.org/10.1016/j.jcp.2015.08.007
dc.identifier.urihttps://hdl.handle.net/20.500.12868/495
dc.identifier.volume300en_US
dc.identifier.wosWOS:000361573200028
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthor0-belirlenecek
dc.language.isoen
dc.publisherAcademic Press Inc Elsevier Science
dc.relation.ispartofJournal of Computational Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFinite Difference Methods
dc.subjectFinite Element Methods
dc.subjectConvection-diffusion-reaction
dc.subjectNon uniform grid
dc.subjectSingular perturbation
dc.titleFinite difference approximations of multidimensional convection-diffusion-reaction problems with small diffusion on a special grid
dc.typeArticle

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu