基于层析内波理论的上凸型内孤立波碰撞数值模拟研究  

Numerical Simulation of Collision of Internal Solitary Waves with Convex Shape Based on High-level Green-Naghdi Internal-wave Theory

作　　者：杨金鑫 赵彬彬[1] 王战[1,2] 王泽航 YANG Jinxin;ZHAO Binbin;WANG Zhan;WANG Zehang(College of Shipbuilding Engineering,Harbin Engineering University,Harbin 150001,China;Qingdao Innovation and Development Center of Harbin Engineering University,Qingdao 266000,China)

机构地区：[1]哈尔滨工程大学船舶工程学院,哈尔滨150001 [2]青岛哈尔滨工程大学创新发展中心,青岛266000

出　　处：《中国造船》2022年第2期78-83,共6页Shipbuilding of China

基　　金：国家自然科学基金(批准号:11972126);黑龙江省头雁行动计划资助。

摘　　要：基于考虑自由面效应的层析内波理论,对两层流体间的两个上凸型内孤立波的碰撞进行数值模拟。首先对单个内孤立波的传播进行数值模拟,检验波形及速度场的稳定。随后针对两个等幅内孤立波碰撞过程中不同时刻的波形及界面起伏达到最大时的速度场进行研究,考察碰撞前内孤立波幅值与碰撞过程界面最大起伏值的关系。Based on high-level Green-Naghdi internal-wave theory that includes the free surface effect, the collision of two internal solitary waves with a convex shape in a two-layer fluid system is simulated numerically. Propagation of a single internal solitary wave is numerically simulated to verify the stability of the wave elevation and velocity field in the propagation process. With respect to the collision of two internal solitary waves with the same amplitude, wave elevation at different time and the velocity field when the interface elevation reaches its maximum is studied. Relationship between the amplitude of internal solitary waves before collision and the maximal interface elevation during collision is investigated.

关 键 词：上凸型内孤立波 碰撞 两层流体 层析内波理论 

分 类 号：O353.2[理学—流体力学]