A fast computational method for potential flows in multiply connected coastal domains
We present a fast and accurate numerical method for constructing incompressible, inviscid and irrotational flows in two-dimensional coastal domains, which are unbounded multiply connected domains above an infinitely long coastline boundary. In the numerical method, we utilize a numerical conformal m...
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| Format: | Article |
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Springer-Verlag Tokyo
2015
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| author | Nasser, Mohamed M. S. Sakajo, Takashi Murid, Ali Hassan Mohamed Lee, Khiy Wei |
| author_facet | Nasser, Mohamed M. S. Sakajo, Takashi Murid, Ali Hassan Mohamed Lee, Khiy Wei |
| author_sort | Nasser, Mohamed M. S. |
| collection | ePrints |
| description | We present a fast and accurate numerical method for constructing incompressible, inviscid and irrotational flows in two-dimensional coastal domains, which are unbounded multiply connected domains above an infinitely long coastline boundary. In the numerical method, we utilize a numerical conformal mapping method based on a boundary integral equation with the generalized Neumann kernel in order to construct conformal mappings from coastal domains onto four of Koebe’s canonical domains. The numerical method is fast and accurate, since it just requires O((m + 1)n ln n) operations and it converges with 0(e-cn) for coastal domains of connectivity m + 1, where n is the number of nodes in discretizing each smooth boundary component and c is a positive constant. With some examples, we also show that it is applicable to arbitrary coastal domains with high connectivity and complex geometry. |
| first_indexed | 2024-03-05T19:37:43Z |
| format | Article |
| id | utm.eprints-55451 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T19:37:43Z |
| publishDate | 2015 |
| publisher | Springer-Verlag Tokyo |
| record_format | dspace |
| spelling | utm.eprints-554512017-08-08T07:56:12Z http://eprints.utm.my/55451/ A fast computational method for potential flows in multiply connected coastal domains Nasser, Mohamed M. S. Sakajo, Takashi Murid, Ali Hassan Mohamed Lee, Khiy Wei QA Mathematics We present a fast and accurate numerical method for constructing incompressible, inviscid and irrotational flows in two-dimensional coastal domains, which are unbounded multiply connected domains above an infinitely long coastline boundary. In the numerical method, we utilize a numerical conformal mapping method based on a boundary integral equation with the generalized Neumann kernel in order to construct conformal mappings from coastal domains onto four of Koebe’s canonical domains. The numerical method is fast and accurate, since it just requires O((m + 1)n ln n) operations and it converges with 0(e-cn) for coastal domains of connectivity m + 1, where n is the number of nodes in discretizing each smooth boundary component and c is a positive constant. With some examples, we also show that it is applicable to arbitrary coastal domains with high connectivity and complex geometry. Springer-Verlag Tokyo 2015 Article PeerReviewed Nasser, Mohamed M. S. and Sakajo, Takashi and Murid, Ali Hassan Mohamed and Lee, Khiy Wei (2015) A fast computational method for potential flows in multiply connected coastal domains. Japan Journal of Industrial and Applied Mathematics, 32 (1). pp. 205-236. ISSN 0916-7005 http://dx.doi.org/10.1007/s13160-015-0168-6 DOI:10.1007/s13160-015-0168-6 |
| spellingShingle | QA Mathematics Nasser, Mohamed M. S. Sakajo, Takashi Murid, Ali Hassan Mohamed Lee, Khiy Wei A fast computational method for potential flows in multiply connected coastal domains |
| title | A fast computational method for potential flows in multiply connected coastal domains |
| title_full | A fast computational method for potential flows in multiply connected coastal domains |
| title_fullStr | A fast computational method for potential flows in multiply connected coastal domains |
| title_full_unstemmed | A fast computational method for potential flows in multiply connected coastal domains |
| title_short | A fast computational method for potential flows in multiply connected coastal domains |
| title_sort | fast computational method for potential flows in multiply connected coastal domains |
| topic | QA Mathematics |
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