Nonlinear progressive waves in water of finite depth — an analytic approximation |
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Authors: | Longbin Tao Hao Song Subrata Chakrabarti |
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Affiliation: | 1. Griffith School of Engineering, Griffith University, PMB50 GCMC, QLD, 9726, Australia;2. Offshore Structure Analysis, Inc., Plainfield, IL60544-7096, USA |
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Abstract: | An analytical solution using homotopy analysis method is developed to describe the nonlinear progressive waves in water of finite depth. The velocity potential of the wave is expressed by Fourier series and the nonlinear free surface boundary conditions are satisfied by continuous mapping. Unlike the perturbation method, the present approach is not dependent on small parameters. Thus solutions are possible for steep waves. Furthermore, a significant improvement of the convergence rate and region is achieved by applying Homotopy-Padé Approximants. The calculated wave characteristics of the present solution agree well with previous numerical and experimental results. |
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Keywords: | Progressive waves Nonlinear Finite water depth Homotopy analysis method |
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