摘要
针对内孤立波相互作用中的追赶问题,本文在2层流体系统中,采用多域边界元法和KdV方程Fourier谱方法离散求解分别对其进行了数值模拟,分析了2种方法下不同初始波幅比内孤立波追赶过程波形演化特征。在多域边界元法中,通过考虑自由表面效应,揭示了内孤立波追赶时自由表面波的表现形态。研究发现:依据2内孤立波是否融合成一个类孤立波波形以及是否发生相互作用等演化特征,根据初始波幅之比内孤立波追赶可以分为3类,其分类标准与表面孤立波追赶波形演化分类一致;2种方法所得幅值变化曲线存在诸多差异,但作用中心波幅最小值均位于2内孤立波波形是否发生相互作用分界点附近;内孤立波追赶过程中所诱导的自由表面波与内孤立波的波形演化过程在形态和时间上几乎保持一致。
In a two-layer fluid system,the multidomain boundary element method considering the free surface of the top layer and the KdV equation Fourier spectrum method are used to solve the overtaking problem of internal solitary waves(ISWs),and the waveform evolution characteristics with different initial amplitude ratios are analyzed in the two methods.In the multidomain boundary element method,the manifestation of free surface waves when ISWs catch up with each other is revealed considering the free surface effect.Results show that the overtaking of ISWs can be divided into three types according to the ratio of initial amplitude based on the possible merging of two ISWs into a quasi-solitary wave shape and the possible interaction of two ISWs.The classification criteria are consistent with classification in the overtaking of solitary waves.Many differences are observed in the amplitude variation curves obtained by the two methods,but the minimum amplitudes of the action center are both located near the boundary point of the possible interaction of the two ISWs.The evolution process of the free surface waves induced by ISWs is almost consistent with that of ISWs considering shape and time.
作者
李永刚
邹丽
胡英杰
张九鸣
裴玉国
LI Yonggang;ZOU Li;HU Yingjie;ZHANG Jiuming;PEI Yuguo(School of Naval Architecture,Dalian University of Technology,Dalian 116024,China;State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology,Dalian 116024,China;Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration,Shanghai 200240,China)
出处
《哈尔滨工程大学学报》
EI
CAS
CSCD
北大核心
2022年第8期1073-1083,共11页
Journal of Harbin Engineering University
基金
国家重点研发计划(2019YFC0312400,2019YFC0312402)
国家自然科学基金项目(52071056)
国家重点研发计划政府间合作重点专项(2017YFE0132000).
关键词
多域边界元法
FOURIER谱方法
内孤立波
相互作用
追赶
波形演化
分类
自由表面波
multidomain boundary element method
Fourier spectrum method
internal solitary waves
interaction
overtaking
waveform evolution
classification
free surface wave
