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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