关于《保辛水波动力学》的一个注记  

A Note on Symplectic Water Wave Dynamics

作　　者：吴锋[1] 钟万勰[1] WU Feng;ZHONG Wanxie(Department of Engineering Mechanics,Dalian University of Technology,Dalian,Liaoning 115023,P.R.China)

机构地区：[1]大连理工大学工程力学系,辽宁大连116023

出　　处：《应用数学和力学》2019年第1期1-7,共7页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(11472076; 51609034; 51278298);中央高校基本科研业务费(DUT17RC(3)069)~~

摘　　要：研究完全非线性水波的数值模拟方法,将《保辛水波动力学》中提出的保辛摄动方法,扩展到非线性水波压强的分析.数值算例表明,该文方法可用于水波的非线性演化分析,也可用于模拟孤立波、尖锐波峰的涌波等非线性水波,并给出水波的压强分布.The numerical method for the simulations of fully nonlinear water waves was discussed. The symplectic perturbation method,developed in Symplectic Water Wave Dynamics,was extended to compute the pressure of the nonlinear water wave. Numerical examples show that the proposed method can be used to analyze the nonlinear evolutions of the nonlinear water waves,simulate the nonlinear water waves such as the solitary wave and the swell wave with sharp peaks,and find out the pressure distribution of the water wave.

关 键 词：水波 动力学 位移法 压强 辛 

分 类 号：O352[理学—流体力学] O353.2[理学—力学]