Shear Current Effects on Monochromatic Water Waves Crossing Trenches
The reflection coefficients of monochromatic water waves over trenches with shear current are estimated analytically. The diffraction of waves by an abrupt depth change and shear current is formulated by the matched eigenfunction expansion method. The proper number of steps and evanescent modes are...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2015/256084 |
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| _version_ | 1832561905545248768 |
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| author | Jun-Whan Lee Koo-Yong Park Yong-Sik Cho |
| author_facet | Jun-Whan Lee Koo-Yong Park Yong-Sik Cho |
| author_sort | Jun-Whan Lee |
| collection | DOAJ |
| description | The reflection coefficients of monochromatic water waves over trenches with shear current are estimated analytically. The diffraction of waves by an abrupt depth change and shear current is formulated by the matched eigenfunction expansion method. The proper number of steps and evanescent modes are proposed by a series of convergence tests. The accuracy of the predicted reflection coefficients is checked by estimating the wave energy. Reflection and transmission characteristics are studied for various shear current conditions. The different combinations of strength, width of shear current, and incident wave angle with constant water depth topography are examined. The optimal figure of the trench with shear current is obtained by estimating the reflection coefficients for various sloped transitions. The resonant reflection of the water waves is found by multiarrayed optimal trenches and the interaction of sinusoidally varying topography with shear current. |
| format | Article |
| id | doaj-art-37ef24403bc0446fb85e8cefc73d4f8a |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-37ef24403bc0446fb85e8cefc73d4f8a2025-02-03T01:23:49ZengWileyJournal of Applied Mathematics1110-757X1687-00422015-01-01201510.1155/2015/256084256084Shear Current Effects on Monochromatic Water Waves Crossing TrenchesJun-Whan Lee0Koo-Yong Park1Yong-Sik Cho2Department of Civil and Environmental Engineering, Hanyang University, 222 Wangsimni-ro, Seongdong-gu, Seoul 133-791, Republic of KoreaCivil and Environment Division, Hyundai Engineering and Construction, Gye-dong, Jongno-gu, Seoul 110-920, Republic of KoreaDepartment of Civil and Environmental Engineering, Hanyang University, 222 Wangsimni-ro, Seongdong-gu, Seoul 133-791, Republic of KoreaThe reflection coefficients of monochromatic water waves over trenches with shear current are estimated analytically. The diffraction of waves by an abrupt depth change and shear current is formulated by the matched eigenfunction expansion method. The proper number of steps and evanescent modes are proposed by a series of convergence tests. The accuracy of the predicted reflection coefficients is checked by estimating the wave energy. Reflection and transmission characteristics are studied for various shear current conditions. The different combinations of strength, width of shear current, and incident wave angle with constant water depth topography are examined. The optimal figure of the trench with shear current is obtained by estimating the reflection coefficients for various sloped transitions. The resonant reflection of the water waves is found by multiarrayed optimal trenches and the interaction of sinusoidally varying topography with shear current.http://dx.doi.org/10.1155/2015/256084 |
| spellingShingle | Jun-Whan Lee Koo-Yong Park Yong-Sik Cho Shear Current Effects on Monochromatic Water Waves Crossing Trenches Journal of Applied Mathematics |
| title | Shear Current Effects on Monochromatic Water Waves Crossing Trenches |
| title_full | Shear Current Effects on Monochromatic Water Waves Crossing Trenches |
| title_fullStr | Shear Current Effects on Monochromatic Water Waves Crossing Trenches |
| title_full_unstemmed | Shear Current Effects on Monochromatic Water Waves Crossing Trenches |
| title_short | Shear Current Effects on Monochromatic Water Waves Crossing Trenches |
| title_sort | shear current effects on monochromatic water waves crossing trenches |
| url | http://dx.doi.org/10.1155/2015/256084 |
| work_keys_str_mv | AT junwhanlee shearcurrenteffectsonmonochromaticwaterwavescrossingtrenches AT kooyongpark shearcurrenteffectsonmonochromaticwaterwavescrossingtrenches AT yongsikcho shearcurrenteffectsonmonochromaticwaterwavescrossingtrenches |