基于深水层析水波理论的波前特性研究  

Research on Wavefront Characteristics Based on High-level Irrotational Green-Naghdi Theory of Deep-water Waves

作　　者：张明豪 刘娟 徐杨 赵彬彬[1] 段文洋[1] ZHANG Minghao;LIU Juan;XU Yang;ZHAO Binbin;DUAN Wenyang(College of Shipbuilding Engineering,Harbin Engineering University,Harbin 150001,China;Beijing Institute of Applied Meteorology,Beijing 100029,China)

机构地区：[1]哈尔滨工程大学船舶工程学院,哈尔滨150001 [2]北京应用气象研究所,北京100029

出　　处：《中国造船》2020年第S02期83-90,共8页Shipbuilding of China

基　　金：国家自然科学基金(批准号:11772099,11972126)。

摘　　要：对周期性规则波的研究主要集中在周期性变化的区域,而对波前的研究很少,对波前的认识有待深入.造波时,在波前区域,最前方的波浪波长会演化,波幅越来越小,波长越来越长.为了准确计算波前区域各种不同频率成分的瞬态波,论文应用多特征波数的新型线性深水层析水波理论在时域进行数值模拟,开展收敛性分析和得到收敛的结果后,对线性波前进行分析,并与线性解析解对比.研究表明线性深水层析水波理论的计算精度高,可对波前区域准确模拟.然后采用多特征波数的新型非线性深水层析水波理论对3种非线性波浪进行模拟,考察非线性对波前的影响.Research on periodic regular waves is mainly concentrated in the region of periodic variation,and there are only few researches on the wavefront.In this paper,the wavefront of periodic deep-water waves is studied by using the theories of linear and nonlinear high-level irrotational Green-Naghdi theory.When making waves,in the wavefront region,the foremost wave wavelength will be evolved:the wave amplitude will be smaller and the wavelength will be longer and longer.In order to calculate the transient waves with different frequency components accurately in the wavefront region,a new high-level irrotational Green-Naghdi theory of deep-water waves with multi-characteristic wave number is applied to numerical simulation in the time-domain・A self-convergence analysis is carried out,and then the convergent numerical results are obtained.It is found that the calculation accuracy is high,and the wavefront region can be simulated accurately.Nonlinear high-level irrotational Green-Naghdi theory of deep-water waves with multi-characteristic wave number is used to simulate three kinds of nonlinear waves,and effect of the nonlinearity on the wavefront is analyzed.

关 键 词：波前 深水波 层析水波理论 数值模拟 非线性 

分 类 号：O353.2[理学—流体力学]