Comparison of Basic Iterative Methods Used to Solve of Heat and Fluid Flow Problems
In this research, a comparison of the convergence rate of different basic methods is made in order to solve the Poisson equation, which is similar to some of the resulting equations in computational fluid mechanics. The Jacobi method, the point Gauss-Seidel method, the successive over-relaxation me...
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semarak ilmu
2023
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| Online Access: | http://eprints.uthm.edu.my/9356/1/J15857_d0c544eacac447d7933331ff68dc26fd.pdf http://eprints.uthm.edu.my/9356/ https://doi.org/10.37934/arfmts.101.1.186191 |
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| author | Abdulbaset S Alkrbash, Abdulbaset S Alkrbash Alhadi A Abosbaia, Alhadi A Abosbaia Abdulhafid M Elfaghi, Abdulhafid M Elfaghi |
| author_facet | Abdulbaset S Alkrbash, Abdulbaset S Alkrbash Alhadi A Abosbaia, Alhadi A Abosbaia Abdulhafid M Elfaghi, Abdulhafid M Elfaghi |
| author_sort | Abdulbaset S Alkrbash, Abdulbaset S Alkrbash |
| building | UTHM Library |
| collection | Institutional Repository |
| content_provider | Universiti Tun Hussein Onn Malaysia |
| content_source | UTHM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | In this research, a comparison of the convergence rate of different basic methods is made in order to solve the Poisson equation, which is similar to some of the resulting equations
in computational fluid mechanics. The Jacobi method, the point Gauss-Seidel method, the successive over-relaxation method (SOR), the line Gauss method (TDMA), the ADI method and Strongly Implicit (SIP) method are among the iterative approaches investigated, which are then compared to find the most optimal method. The selection criteria included the number of iterations and the time needed to reach convergence. In both selection criteria, the SIP approach has been shown to be the most efficient. |
| format | Article |
| id | my.uthm.eprints-9356 |
| institution | Universiti Tun Hussein Onn Malaysia |
| language | en |
| publishDate | 2023 |
| publisher | semarak ilmu |
| record_format | eprints |
| spelling | my.uthm.eprints-93562023-07-30T07:08:59Z http://eprints.uthm.edu.my/9356/ Comparison of Basic Iterative Methods Used to Solve of Heat and Fluid Flow Problems Abdulbaset S Alkrbash, Abdulbaset S Alkrbash Alhadi A Abosbaia, Alhadi A Abosbaia Abdulhafid M Elfaghi, Abdulhafid M Elfaghi T Technology (General) In this research, a comparison of the convergence rate of different basic methods is made in order to solve the Poisson equation, which is similar to some of the resulting equations in computational fluid mechanics. The Jacobi method, the point Gauss-Seidel method, the successive over-relaxation method (SOR), the line Gauss method (TDMA), the ADI method and Strongly Implicit (SIP) method are among the iterative approaches investigated, which are then compared to find the most optimal method. The selection criteria included the number of iterations and the time needed to reach convergence. In both selection criteria, the SIP approach has been shown to be the most efficient. semarak ilmu 2023 Article PeerReviewed text en http://eprints.uthm.edu.my/9356/1/J15857_d0c544eacac447d7933331ff68dc26fd.pdf Abdulbaset S Alkrbash, Abdulbaset S Alkrbash and Alhadi A Abosbaia, Alhadi A Abosbaia and Abdulhafid M Elfaghi, Abdulhafid M Elfaghi (2023) Comparison of Basic Iterative Methods Used to Solve of Heat and Fluid Flow Problems. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 101 (1). pp. 186-191. https://doi.org/10.37934/arfmts.101.1.186191 |
| spellingShingle | T Technology (General) Abdulbaset S Alkrbash, Abdulbaset S Alkrbash Alhadi A Abosbaia, Alhadi A Abosbaia Abdulhafid M Elfaghi, Abdulhafid M Elfaghi Comparison of Basic Iterative Methods Used to Solve of Heat and Fluid Flow Problems |
| title | Comparison of Basic Iterative Methods Used to Solve of Heat and Fluid Flow Problems |
| title_full | Comparison of Basic Iterative Methods Used to Solve of Heat and Fluid Flow Problems |
| title_fullStr | Comparison of Basic Iterative Methods Used to Solve of Heat and Fluid Flow Problems |
| title_full_unstemmed | Comparison of Basic Iterative Methods Used to Solve of Heat and Fluid Flow Problems |
| title_short | Comparison of Basic Iterative Methods Used to Solve of Heat and Fluid Flow Problems |
| title_sort | comparison of basic iterative methods used to solve of heat and fluid flow problems |
| topic | T Technology (General) |
| url | http://eprints.uthm.edu.my/9356/1/J15857_d0c544eacac447d7933331ff68dc26fd.pdf http://eprints.uthm.edu.my/9356/ https://doi.org/10.37934/arfmts.101.1.186191 |
| url_provider | http://eprints.uthm.edu.my/ |