保辛水波动力学

钟万勰; 吴锋; 孙雁; 姚征

doi:10.21656/1000-0887.390062

保辛水波动力学

doi: 10.21656/1000-0887.390062

钟万勰^1,2,
吴锋¹,
孙雁²,
姚征³

¹大连理工大学工程力学系, 辽宁大连 116023;²上海交通大学船舶海洋与建筑工程学院, 上海 200240;³大连海事大学交通运输工程学院, 辽宁大连 116026

基金项目: 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）

详细信息

作者简介:
钟万勰（1934—），男，教授，中科院院士（通讯作者. E-mail: zwoffice@dlut.edu.cn）；吴锋（1985—），男，副教授（E-mail: vonwu@dlut.edu.cn）；孙雁（1965—）,女，副教授(E-mail: sunyan@sjtu.edu.cn)；姚征（1978—），男，副教授（E-mail: yaozheng@dlmu.edu.cn）.

中图分类号: O352;O353.2
计量
- 文章访问数: 1948
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- 被引次数: 0
出版历程
- 收稿日期: 2018-02-09
- 修回日期: 2018-04-11
- 刊出日期: 2018-08-15

Symplectic Water Wave Dynamics

¹Department of Engineering Mechanics, Dalian University of Technology, Dalian, Liaoning 116023, P.R.China;²School of Naval Architecture, Ocean & Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, P.R.China;³Transportation Engineering College, Dalian Maritime University, Dalian, Liaoning 116026, P.R.China

Funds: The National Natural Science Foundation of China（11472076;51609034;51278298）

摘要

摘要: 初步介绍了基于位移表示的水波动力学理论，给出了线性水波、浅水波的位移周期行波解.提出保辛摄动法，计算一般水深周期行波解，并通过数值算例验证了算法的正确性.该研究注重水波的动力学属性，可以直接给出质点粒子的轨迹，模拟出水面尖锐的周期行波解.
- 水波 /
- 动力学 /
- 位移法 /
- 辛 /
- Hamilton
Abstract: Here, an elementary introduction to the displacement method-based water wave dynamics theory was presented. The periodic travelling wave solutions of the linear water waves and shallow water waves were given. The symplectic perturbation method was proposed to analyze the periodic travelling wave solution for the water system with a general depth. Numerical tests were given to demonstrate the correctness of the proposed method. The present research emphasizes the dynamics property of water waves. By means of the proposed theory, the particle trajectory can be obtained directly, and the periodic travelling wave with sharp surface can be simulated.
- water wave /
- dynamics /
- displacement method /
- symplectic /
- Hamilton

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参考文献(23)

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