| 椭圆余弦波爬坡与反射的解析研究 |
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| 引用本文： | 缪国平,刘应中.椭圆余弦波爬坡与反射的解析研究[J].水动力学研究与进展(A辑),1991,6(2):65-72. |
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| 作者姓名： | 缪国平 刘应中 |
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| 作者单位： | 上海交通大学
(缪国平)，上海交通大学(刘应中) |
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| 摘 要： | 本文应用渐近匹配法对椭圆余弦波在中等陡度的岸坡上的爬高和反射进行了解析研究。给出了反射过程中内、外场波形及速度变化的解析表达,得到了坡面上水波最大和最小爬高的规律及它们出现的时间,并进而探讨了坡陡的影响。当波长无限增大时,该解析解收敛于孤立波的情况。这些新的解析结果不仅有助于揭示岸坡对非线性浅水波影响的力学机理,在海岸防护和开发等工程领域中也具有现实的指导意义。
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| 关 键 词： | 椭圆余弦波 爬坡 反射 岸坡 波浪 |
The Analytical Study on the Run-up and Reflection of Cnoidal Waves on a Sloping Beach |
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| Miao Gua-ping Liu Ying-zhong.The Analytical Study on the Run-up and Reflection of Cnoidal Waves on a Sloping Beach[J].Journal of Hydrodynamics,1991,6(2):65-72. |
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| Authors: | Miao Gua-ping Liu Ying-zhong |
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| Institution: | Shanghai Jiao Tong University |
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| Abstract: | Analytical solutions of the run-up and reflection of cnoidal waves on a sloping heach are presented in the paper by using the method of matching asymptotic expansions. The solutions give explicitly the variation pattern of the waves during the reflection process, the maximum and minimum values of the run-up on the beach and the time when they occur. The influence of the beach steepness upon reflection are discussed. The solutions converges to those of solitary waves as the wave length tends to infinity. Those new analytical results may give an insight to the mechanism of the effects of beaches on the non-linear wave reflection, which is of significance for the coast engineering. |
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| Keywords: | cnoidal waves run-up reflection sloping beach |
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