波列长期演变过程中的有效波分量特性  

Characteristics of Significant Wave Components in the Long Time Wave Evolution Process

作　　者：解淑亚 陶爱峰 韩雪 潘锡山 徐伟 Shuya Xie;Aifeng Tao;Xue Han;Xishan Pan;Wei Xu(Key Laboratory of the Ministry of Education for Coastal Disaster and Protection,Hohai University,Nanjing 210024,China;College of Harbour,Coastal and Offshore Engineering,Hohai University,Nanjing 210024,China;Tidal Flat Research Center of Jiangsu Province,Nanjing 210036,China)

机构地区：[1]Key Laboratory of the Ministry of Education for Coastal Disaster and Protection,Hohai University,Nanjing 210024,China [2]College of Harbour,Coastal and Offshore Engineering,Hohai University,Nanjing 210024,China [3]Tidal Flat Research Center of Jiangsu Province,Nanjing 210036,China

出　　处：《哈尔滨工程大学学报（英文版）》2023年第1期92-101,共10页Journal of Marine Science and Application

基　　金：the National Key Research and Development Program of China(Grant No.2022YFE0104500);the National Natural Science Foundation of China(Grant No.52271271);the Major Science and Technology Project of the Ministry of Water Resources of the People’s Republic of China(Grant No.SKS-2022025).

摘　　要：Spectral bandwidth is a relevant parameter of water wave evolution and is commonly used to represent the number of wave components involved in wave-wave interactions.However,whether these two parameters are equivalent is an open question.Following the high-order spectral method and taking the weakly modulated Stokes wave train as the initial condition,the relationship between the spectral bandwidth and the number of wave components is investigated in this work.The results showed that the number of wave components can vary with the same spectral bandwidth and that distinct wave profiles emerge from different numbers of wave components.With a new definition of significant wave components,the characteristics of this parameter in the long-time wave evolution are discussed,along with its relationship with common parameters,including the wave surface maximum and the wave height.The results reveal that the wave surface evolution trend of different numbers of significant wave components(Ns)is the same from a holistic perspective,while the difference between them also exists,mainly in locations where extreme waves occur.Furthermore,there is a negative correlation between r(aj/a_(0))and wave surface maximum(η_(max)/a_(0))and wave height(H_(max)and Hs).The evolution trends of the relative errors(RE)ofη_(max)/a_(0),H_(max),and Hs of different Ns show the periodic recurrence of modulation and demodulation in the early stage when the Benjamin-Feir instability is dominated.The difference is that in the later stage,the RE ofη_(max)/a_(0)and H_(max)is chaotic and irregular,while those of Hs gradually stabilize near an equilibrium value.Furthermore,we discuss the relationship between the mean relative error(MRE)and r.Forη_(max)/a_(0),MRE and r show a logarithmic relationship,while for H_(max)and Hs,a quadratic relationship exists between them.Therefore,the choice of Ns is also important for extreme waves and is particularly meaningful for wave generation experiments in the wave flume.

关 键 词：Spectral bandwidth Significant wave components Long-time wave evolution Wave surface maximum Maximum wave height 

分 类 号：P731.22[天文地球—海洋科学]