非线性平衡态共振声重波研究  

Research on Nonlinear Steady-state Resonant Acoustic-gravity Waves

作　　者：杨小岩 阳杰 YANG Xiaoyan;YANG Jie(School of Naval Architecture and Ocean Engineering,Guangzhou Maritime University,Guangzhou Jiaotong University(preparation),Guangzhou 510725,China;Faculty of Maritime and Transportation,Ningbo University,Ningbo 315211,China;China Energy Engineering Group Guangdong Electric Power Design Institute Co.,Ltd.,Guangzhou 510663,China)

机构地区：[1]广州航海学院广州交通大学(筹)船舶与海洋工程学院,广州510725 [2]宁波大学海运学院,宁波315211 [3]中国能源建设集团广东省电力设计研究院有限公司,广州510663

出　　处：《中国造船》2024年第3期276-284,共9页Shipbuilding of China

基　　金：国家自然科学基金项目(12102210)。

摘　　要：声重波在海水中的传播速度接近声速,比海啸的传播速度快十倍。在以往求解共振声重波问题时只考虑了控制方程中的线性项,而省略了其中的二次项和三次项。论文基于同伦分析方法,求解声重波的完全非线性控制方程,得到精确共振条件下处于平衡态的共振声重波系。并验证了用线性控制方程求解声重波问题的合理性。The propagation speed of acoustic-gravity waves in seawater is close to the speed of sound,which is ten times faster than the speed of tsunamis.In previous studies of resonant acoustic-gravity waves,only the linear terms in the governing equation were considered.In the paper,based on the homotopy analysis method,a completely nonlinear governing equation for the acoustic-gravity wave is solved to obtain the resonant acoustic gravity wave system in equilibrium under precise resonance conditions.We also verified the rationality of using the linear governing equation to solve the acoustic-gravity wave problem.

关 键 词：声重波 流体共振 同伦分析方法 

分 类 号：O35[理学—流体力学]