Scattering of Oblique Water Waves by an Infinite Step
The present paper is concerned with the problem of scattering of obliquely incident surface water wave train passing over a step bottom between the regions of finite and infinite depth. Havelock expansions of water wave potentials are used in the mathematical analysis to obtain the physical paramete...
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2018-05-01
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| Series: | International Journal of Applied Mechanics and Engineering |
| Subjects: | |
| Online Access: | https://www.ijame-poland.com/Scattering-of-Oblique-Water-Waves-by-an-Infinite-Step,166980,0,2.html |
| _version_ | 1827873149286350848 |
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| author | P. Dolai D.P. Dolai |
| author_facet | P. Dolai D.P. Dolai |
| author_sort | P. Dolai |
| collection | DOAJ |
| description | The present paper is concerned with the problem of scattering of obliquely incident surface water wave train passing over a step bottom between the regions of finite and infinite depth. Havelock expansions of water wave potentials are used in the mathematical analysis to obtain the physical parameters reflection and transmission coefficients in terms of integrals. Appropriate multi-term Galerkin approximations involving ultra spherical Gegenbauer polynomials are utilized to obtain very accurate numerical estimates for reflection and transmission coefficients. The numerical results are illustrated in tables. |
| first_indexed | 2024-03-12T16:34:21Z |
| format | Article |
| id | doaj.art-51fa0b26131b4731ae29e90592d8c534 |
| institution | Directory Open Access Journal |
| issn | 1734-4492 2353-9003 |
| language | English |
| last_indexed | 2024-03-12T16:34:21Z |
| publishDate | 2018-05-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | International Journal of Applied Mechanics and Engineering |
| spelling | doaj.art-51fa0b26131b4731ae29e90592d8c5342023-08-08T14:58:34ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032018-05-0123232733810.2478/ijame-2018-0018166980Scattering of Oblique Water Waves by an Infinite StepP. Dolai0D.P. Dolai1Department of Mathematics, Prasannadeb Women’s College, Jalpaiguri-, 735101, West Bengal, IndiaRiver Research Institute, West Bengal, Haringhata Central Laboratory, Mohanpur, Nadia, Pin-, 741246, IndiaThe present paper is concerned with the problem of scattering of obliquely incident surface water wave train passing over a step bottom between the regions of finite and infinite depth. Havelock expansions of water wave potentials are used in the mathematical analysis to obtain the physical parameters reflection and transmission coefficients in terms of integrals. Appropriate multi-term Galerkin approximations involving ultra spherical Gegenbauer polynomials are utilized to obtain very accurate numerical estimates for reflection and transmission coefficients. The numerical results are illustrated in tables.https://www.ijame-poland.com/Scattering-of-Oblique-Water-Waves-by-an-Infinite-Step,166980,0,2.htmlinfinite stephavelock expansiongalerkin approximationgegenbauer polynomialreflection and transmission coefficients |
| spellingShingle | P. Dolai D.P. Dolai Scattering of Oblique Water Waves by an Infinite Step International Journal of Applied Mechanics and Engineering infinite step havelock expansion galerkin approximation gegenbauer polynomial reflection and transmission coefficients |
| title | Scattering of Oblique Water Waves by an Infinite Step |
| title_full | Scattering of Oblique Water Waves by an Infinite Step |
| title_fullStr | Scattering of Oblique Water Waves by an Infinite Step |
| title_full_unstemmed | Scattering of Oblique Water Waves by an Infinite Step |
| title_short | Scattering of Oblique Water Waves by an Infinite Step |
| title_sort | scattering of oblique water waves by an infinite step |
| topic | infinite step havelock expansion galerkin approximation gegenbauer polynomial reflection and transmission coefficients |
| url | https://www.ijame-poland.com/Scattering-of-Oblique-Water-Waves-by-an-Infinite-Step,166980,0,2.html |
| work_keys_str_mv | AT pdolai scatteringofobliquewaterwavesbyaninfinitestep AT dpdolai scatteringofobliquewaterwavesbyaninfinitestep |