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# A Numerical Study of the Exact Evolution Equations for Surface Waves in Water of Finite Depth

@inproceedings{Li2004ANS, title={A Numerical Study of the Exact Evolution Equations for Surface Waves in Water of Finite Depth}, author={Yi A. Li and James M. Hyman and Wooyoung Choi}, year={2004} }

- Published 2004

We describe a pseudo-spectral numerical method to solve the systems of one-dimensional evolution equations for free surface waves in a homogeneous layer of an ideal fluid. We use the method to solve a system of one-dimensional integro-differential equations, first proposed by Ovsjannikov and later derived by Dyachenko, Zakharov, and Kuznetsov, to simulate the exact evolution of nonlinear free surface waves governed by the two-dimensional Euler equations. These equations are written in the… CONTINUE READING