| 有限长正弦地形上的波浪传播问题研究 |
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| 引用本文： | 滕斌,崔杰.有限长正弦地形上的波浪传播问题研究[J].海洋工程,2022,40(1):1-9. |
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| 作者姓名： | 滕斌 崔杰 |
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| 作者单位： | 大连理工大学 海岸和近海工程国家重点实验室,辽宁 大连 116024 |
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| 基金项目： | 国家自然科学基金(51879039)；国家重点研发计划(2021YFB2601100) |
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| 摘 要： | 应用基于势流理论的频域边界元方法,研究了波浪在有限长正弦周期地形上的传播问题.开展了网格收敛性分析,并与物理模型试验结果做了对比,验证了数值方法的准确性.研究了正弦地形长度和幅度对水波反射率的影响,以及波浪在周期性地形上传播时的沿程波幅变化.研究发现,波浪反射系数随波数的变化及波浪幅值沿程的变化均呈包络状;当频率处于布拉格共振区域边缘且反射率为零时,周期地形上会出现极大的波幅;随海床波幅增大,第一布拉格共振带变宽且向低频移动.
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| 关 键 词： | 水波反射率 布拉格共振 边界元方法 正弦地形 相对波幅 波浪传播 |
| 收稿时间： | 2021/3/13 0:00:00 |
Study on wave propagation over sinusoidally varying topography |
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| TENG Bin,CUI Jie.Study on wave propagation over sinusoidally varying topography[J].Ocean Engineering,2022,40(1):1-9. |
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| Authors: | TENG Bin CUI Jie |
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| Institution: | State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China |
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| Abstract: | Based on the potential flow theory, the propagation of water waves over finite-length sinusoidal periodic terrain is studied by using a frequency-domain boundary element method. The grid convergence analysis and the comparison with the experimental results of the physical model are carried out to verify the accuracy of the numerical model. The influence of the length of sinusoidal terrain and the amplitude of topographic fluctuation on the reflection of water wave and the wave amplitude along the periodic terrain are studied. It is found that the variation of wave reflection coefficient with wave number and the variation of wave amplitude in space are enveloped; at the frequency corresponding to low reflection coefficient near the Bragg resonance region, a very large wave height may appear on the periodic terrain; with the increase of terrain amplitude, the first Bragg resonance band becomes wider and moves to low frequency. |
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| Keywords: | reflection coefficient of water waves Bragg resonance boundary element method sinusoidally varying topography relative amplitude propagation of water waves |
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