A Note on Symplectic Water Wave Dynamics
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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.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.
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Key words:
- water wave /
- dynamics /
- displacement method /
- pressure /
- symplectic
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