Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/5830
Title: Finite difference approximations of multidimensional convection-diffusion-reaction problems with small diffusion on a special grid
Authors: Kaya, Adem
Şendur, Ali
Keywords: Finite element method
Finite difference method
Non-uniform grid
Singular perturbation
Convection-diffusion
Publisher: Elsevier Ltd.
Source: Kaya, A., and Şendur, A. (2015). Finite difference approximations of multidimensional convection-diffusion-reaction problems with small diffusion on a special grid. Journal of Computational Physics, 300, 574-591. doi:10.1016/j.jcp.2015.08.007
Abstract: 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.
URI: https://doi.org/10.1016/j.jcp.2015.08.007
http://hdl.handle.net/11147/5830
ISSN: 0021-9991
0021-9991
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

Files in This Item:
File Description SizeFormat 
5830.pdfMakale2.26 MBAdobe PDFThumbnail
View/Open
Show full item record



CORE Recommender

SCOPUSTM   
Citations

12
checked on Nov 1, 2024

WEB OF SCIENCETM
Citations

10
checked on Oct 26, 2024

Page view(s)

200
checked on Nov 4, 2024

Download(s)

346
checked on Nov 4, 2024

Google ScholarTM

Check




Altmetric


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.