封面圖片

Performance of similarity explicit group iteration for solving 2D unsteady convection-diffusion equation

In this paper, a similarity finite difference (SFD) solution is addressed for the two-dimensional (2D) parabolic partial differential equation (PDE), specifically on the unsteady convection-diffusion problem. Structuring the similarity transformation using wave variables, we reduce the parabolic PDE...

全面介紹

Saved in:
書目詳細資料
Main Authors: Nur Afza Mat Ali, Jumat Sulaiman, Azali Saudi, Nor Syahida Mohamad
格式: Article
語言:English
English
出版: Institute of Advanced Engineering and Science (IAES) 2021
主題:
QA299.6-433 Analysis
TA1-2040 Engineering (General). Civil engineering (General)
在線閱讀:https://eprints.ums.edu.my/id/eprint/30726/1/Performance%20of%20similarity%20explicit%20group%20iteration%20for%20solving%202D%20unsteady%20convection-diffusion%20equation-Abstract.pdf
https://eprints.ums.edu.my/id/eprint/30726/2/Performance%20of%20similarity%20explicit%20group%20iteration%20for%20solving%202D%20unsteady%20convection-diffusion%20equation.pdf
https://eprints.ums.edu.my/id/eprint/30726/
http://ijeecs.iaescore.com/index.php/IJEECS/article/view/24900/15212
標簽: 添加標簽
沒有標簽, 成為第一個標記此記錄!
id my.ums.eprints.30726
record_format eprints
spelling my.ums.eprints.307262021-10-26T07:39:36Z https://eprints.ums.edu.my/id/eprint/30726/ Performance of similarity explicit group iteration for solving 2D unsteady convection-diffusion equation Nur Afza Mat Ali Jumat Sulaiman Azali Saudi Nor Syahida Mohamad QA299.6-433 Analysis TA1-2040 Engineering (General). Civil engineering (General) In this paper, a similarity finite difference (SFD) solution is addressed for the two-dimensional (2D) parabolic partial differential equation (PDE), specifically on the unsteady convection-diffusion problem. Structuring the similarity transformation using wave variables, we reduce the parabolic PDE into elliptic PDE. The numerical solution of the corresponding similarity equation is obtained using a second-order central SFD discretization scheme to get the second-order SFD approximation equation. We propose a four-point similarity explicit group (4-point SEG) iterative method as a numerical solution of the large-scale and sparse linear systems derived from SFD discretization of 2D unsteady convection-diffusion equation (CDE). To show the 4-point SEG iteration efficiency, two iterative methods, such as Jacobi and Gauss-Seidel (GS) iterations, are also considered. The numerical experiments are carried out using three different problems to illustrate our proposed iterative method's performance. Finally, the numerical results showed that our proposed iterative method is more efficient than the Jacobi and GS iterations in terms of iteration number and execution time. Institute of Advanced Engineering and Science (IAES) 2021-06-17 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/30726/1/Performance%20of%20similarity%20explicit%20group%20iteration%20for%20solving%202D%20unsteady%20convection-diffusion%20equation-Abstract.pdf text en https://eprints.ums.edu.my/id/eprint/30726/2/Performance%20of%20similarity%20explicit%20group%20iteration%20for%20solving%202D%20unsteady%20convection-diffusion%20equation.pdf Nur Afza Mat Ali and Jumat Sulaiman and Azali Saudi and Nor Syahida Mohamad (2021) Performance of similarity explicit group iteration for solving 2D unsteady convection-diffusion equation. Indonesian Journal of Electrical Engineering and Computer Science, 23 (1). pp. 471-478. ISSN 2502-4752 (P-ISSN) , 2502-4760 (E-ISSN) http://ijeecs.iaescore.com/index.php/IJEECS/article/view/24900/15212 ttp://dx.doi.org/10.11591/ijeecs.v23.i1.pp471-478
institution Universiti Malaysia Sabah
building UMS Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Sabah
content_source UMS Institutional Repository
url_provider http://eprints.ums.edu.my/
language English
English
topic QA299.6-433 Analysis
TA1-2040 Engineering (General). Civil engineering (General)
spellingShingle QA299.6-433 Analysis
TA1-2040 Engineering (General). Civil engineering (General)
Nur Afza Mat Ali
Jumat Sulaiman
Azali Saudi
Nor Syahida Mohamad
Performance of similarity explicit group iteration for solving 2D unsteady convection-diffusion equation
description In this paper, a similarity finite difference (SFD) solution is addressed for the two-dimensional (2D) parabolic partial differential equation (PDE), specifically on the unsteady convection-diffusion problem. Structuring the similarity transformation using wave variables, we reduce the parabolic PDE into elliptic PDE. The numerical solution of the corresponding similarity equation is obtained using a second-order central SFD discretization scheme to get the second-order SFD approximation equation. We propose a four-point similarity explicit group (4-point SEG) iterative method as a numerical solution of the large-scale and sparse linear systems derived from SFD discretization of 2D unsteady convection-diffusion equation (CDE). To show the 4-point SEG iteration efficiency, two iterative methods, such as Jacobi and Gauss-Seidel (GS) iterations, are also considered. The numerical experiments are carried out using three different problems to illustrate our proposed iterative method's performance. Finally, the numerical results showed that our proposed iterative method is more efficient than the Jacobi and GS iterations in terms of iteration number and execution time.
format Article
author Nur Afza Mat Ali
Jumat Sulaiman
Azali Saudi
Nor Syahida Mohamad
author_facet Nur Afza Mat Ali
Jumat Sulaiman
Azali Saudi
Nor Syahida Mohamad
author_sort Nur Afza Mat Ali
title Performance of similarity explicit group iteration for solving 2D unsteady convection-diffusion equation
title_short Performance of similarity explicit group iteration for solving 2D unsteady convection-diffusion equation
title_full Performance of similarity explicit group iteration for solving 2D unsteady convection-diffusion equation
title_fullStr Performance of similarity explicit group iteration for solving 2D unsteady convection-diffusion equation
title_full_unstemmed Performance of similarity explicit group iteration for solving 2D unsteady convection-diffusion equation
title_sort performance of similarity explicit group iteration for solving 2d unsteady convection-diffusion equation
publisher Institute of Advanced Engineering and Science (IAES)
publishDate 2021
url https://eprints.ums.edu.my/id/eprint/30726/1/Performance%20of%20similarity%20explicit%20group%20iteration%20for%20solving%202D%20unsteady%20convection-diffusion%20equation-Abstract.pdf
https://eprints.ums.edu.my/id/eprint/30726/2/Performance%20of%20similarity%20explicit%20group%20iteration%20for%20solving%202D%20unsteady%20convection-diffusion%20equation.pdf
https://eprints.ums.edu.my/id/eprint/30726/
http://ijeecs.iaescore.com/index.php/IJEECS/article/view/24900/15212
_version_ 1760230802315018240
score 13.251813

相似書籍