基于高阶谱方法的非线性聚焦波下船体运动的模拟  

Response of Ship Motion to Nonlinear Focusing Waves Based on High-order Spectral Method

作　　者：肖倩 朱仁传[1] 黄山 汪小佳 XIAO Qian;ZHU Renchuan;HUANG Shan;WANG Xiaojia(State Key Laboratory of Ocean Engineering,Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration,School of Naval Architecture,Ocean and Civil Engineering,Shanghai Jiao Tong University Shanghai 200240,China;School of Mechanical Engineering,Purdue University West Lafayette,IN 47906,U.S.A)

机构地区：[1]上海交通大学船舶海洋与建筑工程学院海洋工程国家重点试验室,高新船舶与深海开发装备协同创新中心,上海200240 [2]School of Mechanical Engineering,Purdue University West Lafeyette,IN,47906

出　　处：《中国造船》2020年第1期50-59,共10页Shipbuilding of China

摘　　要：为了研究入射波浪的非线性对船舶运动的影响,提出了一种新的描述船体运动的非线性时域混杂方法。将高阶谱(HOS)方法引入船舶时域运动计算模型中,用来模拟非线性入射波浪场,在瞬时湿表面上实时积分,求得船舶遭遇波浪时的非线性入射波浪力和非线性回复力,在弱散射假定下建立非线性波浪中船舶的运动方程。当HOS中摄动阶数为1时,船体运动模拟结果与规则波下试验的RAO结果对比良好,验证了改进后的时域模型的可行性和有效性。当HOS中摄动阶数为3时,非线性波浪场演化结果与聚焦波的试验数据对比,验证了入射波模型的正确性。分析了非线性入射波浪间的相互作用,并以WigleyⅢ为对象,计算分析不同波幅的聚焦波下船体时域运动响应,进一步考察波浪的高阶非线性对船舶受力和运动的影响。研究表明,非线性波浪的相互作用对波浪的频率分布、聚焦结果以及入射波浪场的压强分布有显著的影响,对船体的入射波浪力以及垂荡运动的影响最为显著,非线性的影响随着聚焦波幅的增大而变大。To analyze the influence of nonlinearities of incident waves on ship motions,a novel idea of nonlinear hybrid time-domain simulation of ship motions in nonlinear waves is proposed,in which high-order spectral(HOS)method is introduced into ship motion model in time-domain and employed to simulate nonlinear incident waves.Nonlinear F-K and restoring forces of ships encountering waves are evaluated over the instantaneous wetted surface and equations of ship motions in nonlinear waves are established based on weakly scattering assumption.Feasibility and effectiveness of the modified model in time-domain are validated in regular linear waves through comparison of response amplitude operators between the result,with the order of velocity potential expansion set 1 in HOS,and experimental data.Ability of the incident wave model in catching the focusing wave is validated through a comparison between the results,with the order of velocity potential expansion set 3 in HOS,and the experiment related to the focusing wave.Nonlinear interaction between waves is analyzed and numerical simulation of motion response of a Wigley Ⅲ model to the focusing wave is conducted.It is shown that nonlinear interaction between waves causes a significant impact on wave frequency components,focusing event as well as the incident pressure field and subsequently a remarkable influence on the F-K force and heave motion,which are enhanced as wave amplitude increases.

关 键 词：高阶谱方法 非线性入射力 非线性回复力 非线性聚焦波 三维时域 

分 类 号：U661.1[交通运输工程—船舶及航道工程]