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波群诱发的非线性港湾振荡中低频波浪的数值研究

ISSN号：1000-4750
期刊名称：工程力学
时间：2013.2.2
页码：50-57
分类：TV139.26[水利工程—水力学及河流动力学]
作者机构：[1]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, [2]河海大学港口海岸和近海工程学院,江苏南京210098
相关基金：国家自然科学基金项目（51009024,50921001）;高等学校博士学科点专项科研基金资助课题项目（20100041110005）
相关项目：碎波拍对航道和港口作用的研究

关键词：海岸工程, 港湾振荡, 低频波浪, 锁相长波, 自由长波, Boussinesq模型, coastal engineering, harbor resonance, low-frequency waves, bound long waves, free long waves, Boussinesq models

中文摘要：

该文采用色散性保留到二阶的完全非线性Boussinesq方程，模拟了波群引起的狭长矩形港湾内的非线性共振现象，并使用最小二乘法分析了港湾处于第一共振模态下锁相长波和自由长波的波幅以及它们相对成分随着短波波长的变化。为了进行对比，也模拟了波群未能诱发港湾发生非线性共振的情况，并使用相同的方法对港内低频成分进行分离。研究表明：无论港湾共振与否，锁相长波和自由长波的波幅以及它们的相对成分都与短波波长有着密切的联系。对于该文中所研究的特定港湾以及特定的波群频率范围，港湾处于最低的共振模态时，锁相长波的波幅要小于自由长波波幅，但是在短波的波长大于0．66倍的港湾长度的情况下，锁相长波波幅往往要大于自由长波的1／2；当港湾未处于共振状态且短波波长大于0．56倍的港湾长度时，锁相长波的成分往往要超过自由长波。

英文摘要：

The nonlinear oscillation phenomena inside a narrow long rectangular harbor induced by different wave groups with the same resonance frequency are simulated by a fully nonlinear Boussinesq model. The least square method is used to decompose the low-frequency components inside the harbor into bound and free long waves. For comparison, the condition that harbor oscillations can not be induced by different wave groups with the same wave number of bound long waves is also considered. It is found that the amplitudes of bound and free long waves and the ratio of them are closely related to the short wavelength no matter whether the harbor is resonant or not. For the given harbor and primary wave frequency ranges studied in this paper, when the harbor is on the lowest oscillation mode, the amplitude of bound long waves is always lower than that of free long waves. However, the former tends to be larger than half of the latter when the short wavelengths are larger than 0.66 times of the harbor length. When the harbor is on non-resonance condition and the short wavelengths are larger than 0.56 times of the harbor length, bound long wave components tend to be larger than free long wave components.

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