Implementation of Multigrid Method for Solving Coupled Problem
Coupled problems were systems involving multiple interacting physical systems, were commonplace in nature, making study of it useful. Multigrid methods were algorithms useful for solving multiresolution problems. However, there was a lack of literature on the use of multigrid methods for solving cou...
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| Format: | Monograph |
| Language: | English |
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Universiti Sains Malaysia
2021
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| Online Access: | http://eprints.usm.my/55805/ http://eprints.usm.my/55805/1/Implementation%20of%20Multigrid%20Method%20for%20Solving%20Coupled%20Problem.pdf |
| _version_ | 1848883183736586240 |
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| author | Lim, Kean Siang |
| author_facet | Lim, Kean Siang |
| author_sort | Lim, Kean Siang |
| building | USM Institutional Repository |
| collection | Online Access |
| description | Coupled problems were systems involving multiple interacting physical systems, were commonplace in nature, making study of it useful. Multigrid methods were algorithms useful for solving multiresolution problems. However, there was a lack of literature on the use of multigrid methods for solving coupled problems. Hence, this project was carried out with the aim of implementing multigrid on coupled problems and studying its performance characteristics. A PETSc example code was modified and used to study the implementation of multigrid for solving a coupled problem. The code was successfully executed to yield a solution. The code was then executed with different solver types and grid sizes to study its performance characteristics. The resulting performance data was plotted to identify the relationship between performance and grid size, and the performance comparison of different solver types. Large grid sizes were found to negatively impact performance of code. The most efficient solver was found from the solvers studied in this project. |
| first_indexed | 2025-11-15T18:46:46Z |
| format | Monograph |
| id | usm-55805 |
| institution | Universiti Sains Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T18:46:46Z |
| publishDate | 2021 |
| publisher | Universiti Sains Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | usm-558052022-11-29T12:49:06Z http://eprints.usm.my/55805/ Implementation of Multigrid Method for Solving Coupled Problem Lim, Kean Siang T Technology TJ1-1570 Mechanical engineering and machinery Coupled problems were systems involving multiple interacting physical systems, were commonplace in nature, making study of it useful. Multigrid methods were algorithms useful for solving multiresolution problems. However, there was a lack of literature on the use of multigrid methods for solving coupled problems. Hence, this project was carried out with the aim of implementing multigrid on coupled problems and studying its performance characteristics. A PETSc example code was modified and used to study the implementation of multigrid for solving a coupled problem. The code was successfully executed to yield a solution. The code was then executed with different solver types and grid sizes to study its performance characteristics. The resulting performance data was plotted to identify the relationship between performance and grid size, and the performance comparison of different solver types. Large grid sizes were found to negatively impact performance of code. The most efficient solver was found from the solvers studied in this project. Universiti Sains Malaysia 2021-07-01 Monograph NonPeerReviewed application/pdf en http://eprints.usm.my/55805/1/Implementation%20of%20Multigrid%20Method%20for%20Solving%20Coupled%20Problem.pdf Lim, Kean Siang (2021) Implementation of Multigrid Method for Solving Coupled Problem. Project Report. Universiti Sains Malaysia, Pusat Pengajian Kejuruteraan Mekanik. (Submitted) |
| spellingShingle | T Technology TJ1-1570 Mechanical engineering and machinery Lim, Kean Siang Implementation of Multigrid Method for Solving Coupled Problem |
| title | Implementation of Multigrid Method for Solving Coupled Problem |
| title_full | Implementation of Multigrid Method for Solving Coupled Problem |
| title_fullStr | Implementation of Multigrid Method for Solving Coupled Problem |
| title_full_unstemmed | Implementation of Multigrid Method for Solving Coupled Problem |
| title_short | Implementation of Multigrid Method for Solving Coupled Problem |
| title_sort | implementation of multigrid method for solving coupled problem |
| topic | T Technology TJ1-1570 Mechanical engineering and machinery |
| url | http://eprints.usm.my/55805/ http://eprints.usm.my/55805/1/Implementation%20of%20Multigrid%20Method%20for%20Solving%20Coupled%20Problem.pdf |