Multigrid solver for 2D heat conduction problems
As analytical solutions to heat transfer problems are difficult to obtain. Computational methods are presented as important analysis tools but conventional computational methods like Gauss-Seidel iteration are slow to converge. Therefore, a multigrid solver is introduced to address this issue. This...
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American Institute of Physics Inc.
2023
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my.uniten.dspace-245632023-05-29T15:24:37Z Multigrid solver for 2D heat conduction problems Koh Y.Y. Lim J.W.S. Chua Y.L. 57193680466 57210389481 56405027200 As analytical solutions to heat transfer problems are difficult to obtain. Computational methods are presented as important analysis tools but conventional computational methods like Gauss-Seidel iteration are slow to converge. Therefore, a multigrid solver is introduced to address this issue. This report covers the two-dimensional rectangular heat conduction being solved using the finite-difference method and accelerated by the multigrid method. A brief explanation of multigrid will be presented. The result obtained from the analytical solutions were used as the baseline for comparison with the multigrid method. Once the results from the multigrid are validated, the single-grid method (Gauss-Seidel) is compared with the multigrid method in term of convergence rate and accuracy of results. � 2019 Author(s). Final 2023-05-29T07:24:37Z 2023-05-29T07:24:37Z 2019 Conference Paper 10.1063/1.5118041 2-s2.0-85070547533 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85070547533&doi=10.1063%2f1.5118041&partnerID=40&md5=eb1e529684bf8336f26fc1f56a14d952 https://irepository.uniten.edu.my/handle/123456789/24563 2129 20033 American Institute of Physics Inc. Scopus |
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As analytical solutions to heat transfer problems are difficult to obtain. Computational methods are presented as important analysis tools but conventional computational methods like Gauss-Seidel iteration are slow to converge. Therefore, a multigrid solver is introduced to address this issue. This report covers the two-dimensional rectangular heat conduction being solved using the finite-difference method and accelerated by the multigrid method. A brief explanation of multigrid will be presented. The result obtained from the analytical solutions were used as the baseline for comparison with the multigrid method. Once the results from the multigrid are validated, the single-grid method (Gauss-Seidel) is compared with the multigrid method in term of convergence rate and accuracy of results. � 2019 Author(s). |
| author2 |
57193680466 |
| author_facet |
57193680466 Koh Y.Y. Lim J.W.S. Chua Y.L. |
| format |
Conference Paper |
| author |
Koh Y.Y. Lim J.W.S. Chua Y.L. |
| spellingShingle |
Koh Y.Y. Lim J.W.S. Chua Y.L. Multigrid solver for 2D heat conduction problems |
| author_sort |
Koh Y.Y. |
| title |
Multigrid solver for 2D heat conduction problems |
| title_short |
Multigrid solver for 2D heat conduction problems |
| title_full |
Multigrid solver for 2D heat conduction problems |
| title_fullStr |
Multigrid solver for 2D heat conduction problems |
| title_full_unstemmed |
Multigrid solver for 2D heat conduction problems |
| title_sort |
multigrid solver for 2d heat conduction problems |
| publisher |
American Institute of Physics Inc. |
| publishDate |
2023 |
| _version_ |
1806427930943815680 |
| score |
13.222552 |