双色波传播过程中长短波相互作用的非线性数值模拟研究  

Nonlinear numerical simulation on long-short wave interactions during the propagation of a bichromatic wave

作　　者：郭欣然 刘石 杨毅 陈丽芬[2,3] 宁德志[2,3] GUO Xinran;LIU Shi;YANG Yi;CHEN Lifen;NING Dezhi(China Southern Power Grid Technology Co.,Ltd.,Guangzhou 510062,China;State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology,Dalian 116024,China;Dalian Key Laboratory of Offshore Renewable Energy,Dalian University of Technology,Dalian 116024,China)

机构地区：[1]南方电网电力科技股份有限公司,广东广州510062 [2]大连理工大学海岸和近海工程国家重点实验室,辽宁大连116024 [3]大连理工大学大连市可再生能源重点实验室,辽宁大连116024

出　　处：《哈尔滨工程大学学报》2025年第1期95-101,共7页Journal of Harbin Engineering University

基　　金：国家自然科学基金项目(U22A20242,2021-KF-16-03,52001053)。

摘　　要：针对波浪在传播过程中的波面变形机制问题,本文采用时域高阶边界元方法建立完全非线性波浪数值水槽,并模拟研究了单色波和双色波在常水深地形上的非线性传播特性。该模型在自由水面满足完全非线性边界条件,采用混合欧拉-拉格朗日方法追踪流体瞬时表面,利用四阶龙格库塔方法更新下一时间步的波面和速度势。通过与已有实验结果对比,证明了本文模型的准确性。研究发现:双色波传播过程中长短波的相互作用,会诱发波面的剧烈变形,并产生次峰。长短波相互作用诱使更多的波浪能量从低频向高频传递,并激发出更高阶的波浪成分。同时,该作用机制随着长短波波长比的增大而增强。This study focuses on the deformation mechanism of the wave surface during wave propagation.A fully nonlinear numerical wave tank is established using the time-domain high-order boundary element method to model the propagation of monochromatic and bichromatic waves in a constant water depth.Accordingly,their nonlinear wave deformations during propagation can be investigated.The model satisfies the fully nonlinear free surface boundary condition,and it uses the mixed Euler-Lagrange method to capture the instantaneous free surface.The fourth Runge-Kutta method is applied to update the free-surface elevation and the velocity potential at the next time step.The correctness of the present model is verified by comparing its results with the published experimental outcomes.The long-short wave interactions during the propagation of a biochromatic wave result in a strong wave deformation and induce secondary waves.Thus,more wave energy is transmitted from the fundamental linear wave to higher-order wave components.In addition,this nonlinear interaction between the long-short wave components increases with the growth in wavelength ratio between the long-short waves.

关 键 词：长短波相互作用 完全非线性波浪数值水槽 时域模拟 波面变形 能量转移 高阶谐波 双色波 

分 类 号：O352[理学—流体力学]