Nonlinear progressive waves in water of finite depth – an analytic approximation
نویسندگان
چکیده
7 An analytical solution using homotopy analysis method is developed to describe the non8 linear progressive waves in water of finite depth. The velocity potential of the wave is ex9 pressed by Fourier series and the nonlinear free surface boundary conditions are satisfied by 10 continuous mapping. Unlike the perturbation method, the present approach is not dependent 11 on small parameters. Thus solutions are possible for steep waves. Furthermore, a significant 12 improvement of the convergence rate and region is achieved by applying Homotopy-Padé 13 Approximants. The calculated wave characteristics of the present solution agree well with 14 previous numerical and experimental results. 15
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تاریخ انتشار 2017