畸形波传播速度实验和数值模拟研究  

Experimental and numerical studies on freak wave speed

作　　者：崔成[1] 张宁川[1] 俞聿修[1] 裴玉国[1] 

机构地区：[1]大连理工大学海岸及近海工程国家重点实验室,辽宁大连116024

出　　处：《海洋工程》2012年第3期79-86,共8页The Ocean Engineering

基　　金：国家自然科学基金资助项目(11602402-4022-36);博士后科学基金资助项目(20080441115)

摘　　要：畸形波的传播速度是其最重要的特征参数之一。研究畸形波的传播速度有助于深入和全面了解畸形波的生成机理及其演化过程,另外还可以用于畸形波的预报。针对现有关于畸形波传播速度计算方法(高阶Stokes波理论近似估算,Hilbert变换和两固定点的距离除以畸形波的波峰经过两点所用时间)的不准确性和局限性,使用32个测点描述畸形波波峰沿波浪水槽的运动轨迹,再用回归分析法估算波峰运动轨迹与时间的相关关系,从而计算出畸形波的传播速度。基于288组物理模拟畸形波和364组数值模拟畸形波传播速度的计算结果,使用回归分析方法得出了畸形波传播速度的半经验半理论计算公式,同时还分析了畸形波传播速度的强非线性特征。The speed of freak wave is one of the most important parameters. The research of freak wave speed can contribute to the un- derstanding of generation mechanism and evolution process of the freak wave, and can also be applied to its prediction. The existing calculation methods （high-order Stokes wave theory, Hilbert transformation method and the quotient method in which the speed is de- fined as the distance of two fixed points divided by the time passed through by the wave crest） are inaccurate and have limitations. So a more stable and accurate method is proposed for tho calculation of freak wave speed in this paper. In the physical model test, 32 probes arc used to describe the motion of the largest wave crest along the wave tank. Linear regression relationship between the position of the largest wave crest and time is established to calculate the speed of totally 288 experimental freak waves and 364 complementary numerical freak waves. Based on the calculation results, a semi-theoretical and semi-empirical formula is proposed by using regression analysis method to calculate the speed of freak wave, and the strong non-linear characteristic of freak wave speed is also discussed.

关 键 词：畸形波 传播速度 回归分析 STOKES波 

分 类 号：TV139.2[水利工程—水力学及河流动力学]