首页|非线性平衡态共振声重波研究

非线性平衡态共振声重波研究

扫码查看
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.
Research on Nonlinear Steady-state Resonant Acoustic-gravity Waves
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.

acoustic-gravity wavesfluid resonancehomotopy analysis method

杨小岩、阳杰

展开 >

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

宁波大学海运学院,宁波 315211

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

声重波 流体共振 同伦分析方法

国家自然科学基金项目

12102210

2024

中国造船
中国造船工程学会

中国造船

CSTPCD北大核心
影响因子:0.81
ISSN:1000-4882
年,卷(期):2024.65(3)
  • 5