Symplectic Water Wave Dynamics

ZHONG Wanxie; WU Feng; SUN Yan; YAO Zheng

doi:10.21656/1000-0887.390062

Volume 39 Issue 8

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ZHONG Wanxie, WU Feng, SUN Yan, YAO Zheng. Symplectic Water Wave Dynamics[J]. Applied Mathematics and Mechanics, 2018, 39(8): 855-874. doi: 10.21656/1000-0887.390062

Citation:

ZHONG Wanxie, WU Feng, SUN Yan, YAO Zheng. Symplectic Water Wave Dynamics[J]. Applied Mathematics and Mechanics, 2018, 39(8): 855-874. doi: 10.21656/1000-0887.390062

Citation:

ZHONG Wanxie, WU Feng, SUN Yan, YAO Zheng. Symplectic Water Wave Dynamics[J]. Applied Mathematics and Mechanics, 2018, 39(8): 855-874. doi: 10.21656/1000-0887.390062

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Symplectic Water Wave Dynamics

doi: 10.21656/1000-0887.390062

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）

Received Date: 2018-02-09
Rev Recd Date: 2018-04-11
Publish Date: 2018-08-15

Abstract

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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References(23)

References

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