| A Numerical Model for Edge Waves on A Compound Slope |
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| 作者姓名： | LU Yang FENG Wei-bing ZHANG Yu FENG Xi |
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| 作者单位： | College of Harbor, Coastal, and Offshore Engineering, Hohai University, Nanjing 210098, China,College of Harbor, Coastal, and Offshore Engineering, Hohai University, Nanjing 210098, China,College of Harbor, Coastal, and Offshore Engineering, Hohai University, Nanjing 210098, China,College of Harbor, Coastal, and Offshore Engineering, Hohai University, Nanjing 210098, China |
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| 基金项目： | This work is financially supported by the National Natural Science Foundation of China (Grant No. 51279055), the Fundamental Research Funds for the Central Universities (Grant No. 2015B35114) and the Open Fund of Jiangsu Key Laboratory of Coast Ocean Resources Development and Environment Security of Hohai University (Grant No. 201506). |
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| 摘 要： | An edge wave is a kind of surface gravity wave basically travelling along a shoaling beach. Based on the periodic assumption in the longshore direction, a second order ordinary differential equation is obtained for numerical simulation of the cross-shore surface elevation. Given parameters at the shoreline, a cross-shore elevation profile is obtained through integration with fourth-order Runge-Kutta technique. For a compound slope, a longshore wavenumber is obtained by following a geometrical approach and solving a transcendental equation with an asymptotic method. Numerical results on uniform and compound sloping beaches with different wave periods, slope angles, modes and turning point positions are presented. Some special scenarios, which cannot be predicted by analytical models are also discussed.
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| 关 键 词： | edge wave compound slope full water wave equation geometrical approach numerical integration |
| 收稿时间： | 2015/8/15 0:00:00 |
| 修稿时间： | 2016/4/15 0:00:00 |
A Numerical Model for Edge Waves on A Compound Slope |
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| LU Yang,FENG Wei-bing,ZHANG Yu,FENG Xi.A Numerical Model for Edge Waves on A Compound Slope[J].Ocean Engineering,2017,31(2):167-172. |
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| Authors: | LU Yang FENG Wei-bing ZHANG Yu and FENG Xi |
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| Institution: | College of Harbor, Coastal, and Offshore Engineering, Hohai University, Nanjing 210098, China,College of Harbor, Coastal, and Offshore Engineering, Hohai University, Nanjing 210098, China,College of Harbor, Coastal, and Offshore Engineering, Hohai University, Nanjing 210098, China and College of Harbor, Coastal, and Offshore Engineering, Hohai University, Nanjing 210098, China |
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| Abstract: | An edge wave is a kind of surface gravity wave basically travelling along a shoaling beach. Based on the periodic assumption in the longshore direction, a second order ordinary differential equation is obtained for numerical simulation of the cross-shore surface elevation. Given parameters at the shoreline, a cross-shore elevation profile is obtained through integration with fourth-order Runge-Kutta technique. For a compound slope, a longshore wavenumber is obtained by following a geometrical approach and solving a transcendental equation with an asymptotic method. Numerical results on uniform and compound sloping beaches with different wave periods, slope angles, modes and turning point positions are presented. Some special scenarios, which cannot be predicted by analytical models are also discussed. |
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| Keywords: | edge wave compound slope full water wave equation geometrical approach numerical integration |
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