One of models for free surface flows is the gravity wave-model equations. In this paper, we propose a finite volume numerical method for solving the gravity wave-model equations. The numerical scheme is explicit, so it is easy to implement. The scheme is consistent with the gravity wave-model equations. Numerical results show that the proposed method is stable. As cell widths and time steps are taken smaller, the errors of numerical solutions get smaller too. Therefore, we infer that the numerical solutions are convergent to the exact solution.
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