A Note on Symplectic Water Wave Dynamics

WU Feng; ZHONG Wanxie

doi:10.21656/1000-0887.390254

Volume 40 Issue 1

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WU Feng, ZHONG Wanxie. A Note on Symplectic Water Wave Dynamics[J]. Applied Mathematics and Mechanics, 2019, 40(1): 1-7. doi: 10.21656/1000-0887.390254

Citation:

WU Feng, ZHONG Wanxie. A Note on Symplectic Water Wave Dynamics[J]. Applied Mathematics and Mechanics, 2019, 40(1): 1-7. doi: 10.21656/1000-0887.390254

Citation:

WU Feng, ZHONG Wanxie. A Note on Symplectic Water Wave Dynamics[J]. Applied Mathematics and Mechanics, 2019, 40(1): 1-7. doi: 10.21656/1000-0887.390254

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A Note on Symplectic Water Wave Dynamics

doi: 10.21656/1000-0887.390254

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）

Received Date: 2018-09-25
Publish Date: 2019-01-01

Abstract

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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References(8)

References

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