| 深水波列传播的不稳定性分析 |
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| 引用本文： | 张义丰,卢桂营,严 冰,罗 锋. 深水波列传播的不稳定性分析[J]. 水道港口, 2014, 0(1): 32-33 |
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| 作者姓名： | 张义丰 卢桂营 严 冰 罗 锋 |
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| 作者单位： | [1]天津大学建筑工程学院,天津300072 [2]交通运输部天津水运工程科学研究所工程泥沙交通行业重点实验室,天津300456 [3]宁波市三江河道管理局,宁波315020 [4]江苏省海涂研究中心,南京210036 |
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| 基金项目： | 国家自然科学基金项目（41306034）“深水波浪非线性及不稳定性演变机理研究”;中央级公益性科研院所基本科研业务费专项资金项目（TKS100108）“复杂地形下波浪变形及沿岸输沙机理研究”;国家自然科学基金项目（51209111）“粉砂质海岸潜堤防淤减淤机理研究” |
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| 摘 要： | 深水波列传播是多影响因素共同作用的物理过程,寻求合理的参数来表征深水波列传播过程中各因素的影响,对了解深水波列传播特征有重要意义。文章基于BMNLS方程的不稳定性分析,得到一关于波陡、频带宽度和频率的特征参数Ui,并指出在深水波列传播过程中,当Ui1时波列是稳定的,在Ui1时波列为不稳定的,并随Ui的增大,不稳定性及非线性作用不断增强。同时针对边带扰动波列的传播,指出此参数可有效地表示深水波列传播特征。
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| 关 键 词： | 非线性薛定谔方程 稳定性 尺度因子 波陡 特征参数 |
Instability analysis of deep-water wave trains |
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| ZHANG Yi-feng,LU Gui-ying,YAN Bing,LUO Feng. Instability analysis of deep-water wave trains[J]. Journal of Waterway and Harbour, 2014, 0(1): 32-33 |
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| Authors: | ZHANG Yi-feng LU Gui-ying YAN Bing LUO Feng |
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| Affiliation: | 1. School of Civil Engineering, Tianjin University, Tianjin 300072,China;2. Tianjin Research Institute for Water Transport Engineering, Key Laboratory of Engineering Sediment, Ministry of Transport, Tianjin 300456,China; 3. Ningbo Sanjiang waterway administration,Ningbo 315020,China;4. Tidal Flat Research Center of Jiangsu Province,Nanjing 210036, China) |
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| Abstract: | The propagation of deep-water wave trains is influenced by many factors such as wave steepness and frequency. It is important to find a parameter to express the relation of the factor in the deep-water wave trains propagation. In this paper, a characteristic parameter on the wave steepness, the band width and the frequency was obtained by the instability analysis based on the BMNLS equation. During the propagation, it was unstable when Ui〉1. The instability and nonlinearity effect was more obvious with the increase of Ui.The parameter was available to express the characteristic of the deep-water wave trains propagation. |
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| Keywords: | nonlinear schrodinger equation instability scale factor wave steepness characteristic parameter |
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