位移浅水内孤立波  

Displacement shallow water internal solitary wave

作　　者：吴锋[1] 姚征[2] 孙雁[3] 钟万勰[1] WU Feng;YAO Zheng;SUN Yan;ZHONG Wan-xie(Deparement of Engineering Mechanics,Dalian University of Technology,Dalian 116024,China;Transportation Equipments and Ocean Engineering College,Dalian Maritime University,Dalian 116026,China;School of Naval Architecture,Ocean & Civil Engineering,Shanghai Jiao Tong University,Shanghai 200240,China)

机构地区：[1]大连理工大学工程力学系,大连116024 [2]大连海事大学交通运输装备与海洋工程学院,大连116026 [3]上海交通大学船舶海洋与建筑工程学院,上海200240

出　　处：《计算力学学报》2019年第3期297-303,共7页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(11472076;51609034);中央高校基本科研业务费(DUT17RC(3)069)资助项目

摘　　要：研究两层浅水系统中的内孤立波,该系统由两层常密度不可压缩无黏性水组成。利用Lagrange坐标和Hamilton原理,推导了两层浅水系统的位移浅水内波方程,并进一步导出了两层浅水系统的位移内孤立波解。数值实验表明,位移内孤立波与经典的KdV内孤立波吻合很好,说明Lagrange坐标和Hamilton方法适用于内波分析,可以为构造内波分析的保辛方法提供一种途径。Here it is addressed that the internal solitary wave in a water system,which consists of two layers of constant-density incompressible inviscid water.By using the Lagrange coordinate and Hamilton principle,an internal wave equation for shallow water displacement of the two-water system and the corresponding internal solitary displacement wave(DISW)are derived.The numerical tests show good agreement between the DISW and the classical KdV solitary wave,which means it is effective to use the Lagrange coordinate and Hamilton principle to analyze the internal wave problem,and thence a way to develop the symplectic method for it.

关 键 词：内孤立波 Lagrange坐标 HAMILTON原理 

分 类 号：O302[理学—力学] O352