Finite difference approximations of multidimensional convection-diffusion-reaction problems with small diffusion on a special grid
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Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Academic Press Inc Elsevier Science
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
A 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.
Açıklama
kaya, Adem/0000-0001-5838-3284; Sendur, Ali/0000-0001-8628-5497
Anahtar Kelimeler
Finite Difference Methods, Finite Element Methods, Convection-diffusion-reaction, Non uniform grid, Singular perturbation
Kaynak
Journal of Computational Physics
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
300
