A spectral boundary integral method for inviscid water waves in a finite domain
In this paper, we show how the spectral formulation of Baker, Meiron and Orszag can be used to solve for waves on water of infinite depth confined between two flat, vertical walls, and also how it can be modified to take into account water of finite depth with a spatially varying bottom. In each cas...
| Main Authors: | , |
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| Format: | Article |
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Wiley
2016
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| Online Access: | https://eprints.nottingham.ac.uk/34391/ |
| _version_ | 1848794842593755136 |
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| author | Im, Jeon-Sook Billingham, John |
| author_facet | Im, Jeon-Sook Billingham, John |
| author_sort | Im, Jeon-Sook |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | In this paper, we show how the spectral formulation of Baker, Meiron and Orszag can be used to solve for waves on water of infinite depth confined between two flat, vertical walls, and also how it can be modified to take into account water of finite depth with a spatially varying bottom. In each case, we use Chebyshev polynomials as the basis of our representation of the solution and filtering to remove spurious high-frequency modes. We show that spectral accuracy can be achieved until wave breaking, plunging or wall impingment occurs in two model problems. |
| first_indexed | 2025-11-14T19:22:37Z |
| format | Article |
| id | nottingham-34391 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:22:37Z |
| publishDate | 2016 |
| publisher | Wiley |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-343912020-05-04T17:42:37Z https://eprints.nottingham.ac.uk/34391/ A spectral boundary integral method for inviscid water waves in a finite domain Im, Jeon-Sook Billingham, John In this paper, we show how the spectral formulation of Baker, Meiron and Orszag can be used to solve for waves on water of infinite depth confined between two flat, vertical walls, and also how it can be modified to take into account water of finite depth with a spatially varying bottom. In each case, we use Chebyshev polynomials as the basis of our representation of the solution and filtering to remove spurious high-frequency modes. We show that spectral accuracy can be achieved until wave breaking, plunging or wall impingment occurs in two model problems. Wiley 2016-03-07 Article NonPeerReviewed Im, Jeon-Sook and Billingham, John (2016) A spectral boundary integral method for inviscid water waves in a finite domain. International Journal for Numerical Methods in Fluids . ISSN 1097-0363 http://onlinelibrary.wiley.com/doi/10.1002/fld.4225/abstract doi:10.1002/fld.4225 doi:10.1002/fld.4225 |
| spellingShingle | Im, Jeon-Sook Billingham, John A spectral boundary integral method for inviscid water waves in a finite domain |
| title | A spectral boundary integral method for inviscid water waves in a finite domain |
| title_full | A spectral boundary integral method for inviscid water waves in a finite domain |
| title_fullStr | A spectral boundary integral method for inviscid water waves in a finite domain |
| title_full_unstemmed | A spectral boundary integral method for inviscid water waves in a finite domain |
| title_short | A spectral boundary integral method for inviscid water waves in a finite domain |
| title_sort | spectral boundary integral method for inviscid water waves in a finite domain |
| url | https://eprints.nottingham.ac.uk/34391/ https://eprints.nottingham.ac.uk/34391/ https://eprints.nottingham.ac.uk/34391/ |