关于《保辛水波动力学》的一个注记

吴锋; 钟万勰

doi:10.21656/1000-0887.390254

关于《保辛水波动力学》的一个注记

doi: 10.21656/1000-0887.390254

吴锋,
钟万勰

大连理工大学工程力学系, 辽宁大连 116023

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:
吴锋（1985—），男，副教授（E-mail: vonwu@dlut.edu.cn）;钟万勰（1934—），男，教授，中科院院士（通讯作者. E-mail: zwoffice@dlut.edu.cn）.

中图分类号: O352;O353.2
计量
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- 被引次数: 0
出版历程
- 收稿日期: 2018-09-25
- 刊出日期: 2019-01-01

A Note on Symplectic Water Wave Dynamics

Department of Engineering Mechanics, Dalian University of Technology, Dalian, Liaoning 116023, P.R.China

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

摘要

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.
- 水波 /
- 动力学 /
- 位移法 /
- 压强 /
- 辛
Abstract: 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.
- water wave /
- dynamics /
- displacement method /
- pressure /
- symplectic

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参考文献(8)

[1]	梅强中. 水波动力学[M]. 北京: 科学出版社, 1984.(MEI Qiangzhong. Water Wave Dynamics [M]. Beijing: Science Press, 1984.(in Chinese))
[2]	钟万勰, 姚征. 位移法浅水孤立波[J]. 大连理工大学学报, 2006,46(1): 151-156.(ZHONG Wanxie, YAO Zheng. Shallow water solitary waves based on displacement method[J]. Journal of Dalian University of Technology,2006,46(1): 151-156.(in Chinese))
[3]	钟万勰. 应用力学的辛数学方法[M]. 北京: 高等教育出版社, 2006.(ZHONG Wanxie. Symplectic Method in Applied Mechanics [M]. Beijing: High Education Press, 2006.(in Chinese))
[4]	钟万勰, 陈晓辉. 浅水波的位移法求解[J]. 水动力学研究与进展, 2006,21(4): 486-493.(ZHONG Wanxie, CHEN Xiaohui. Solving shallow water waves with the displacement method[J]. Journal of Hydrodynamics,2006,21(4): 486-493.(in Chinese))
[5]	钟万勰, 吴锋. 力-功-能-辛-离散: 祖冲之方法论[M]. 大连: 大连理工大学出版社, 2016. (ZHONG Wanxie, WU Feng. Force-Work-Energy-Symplecticity-Discretization: ZU Chongzhi’s Methodology [M]. Dalian: Dalian University of Technology Press, 2016.(in Chinese))
[6]	吴锋, 钟万勰. 浅水问题的约束Hamilton变分原理及祖冲之类保辛算法[J]. 应用数学和力学, 2016,37(1): 1-13.(WU Feng, ZHONG Wanxie. The constrained Hamilton variational principle for shallow water problems and the Zu-type symplectic algorithm[J]. Applied Mathematics and Mechanics,2016,37(1): 1-13.(in Chinese))
[7]	吴锋. 基于位移的水波数值模拟: 辛方法[M]. 大连: 大连理工大学, 2017. (WU Feng. Numerical Modeling of Water Waves Based on Displacement: Symplectic Method [M]. Dalian: Dalian University of Technology Press, 2017.(in Chinese))
[8]	钟万勰, 吴锋, 孙雁, 等. 保辛水波动力学[J]. 应用数学和力学, 2018,39(8): 855-874.(ZHONG Wanxie, WU Feng, SUN Yan, et al. Symplectic water wave dynamics[J]. Applied Mathematics and Mechanics,2018,39(8): 855-874.(in Chinese))