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Nonlinear progressive waves in water of finite depth — an analytic approximation

Lookup NU author(s): Professor Longbin Tao, Dr Hao Song

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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.

Publication metadata

Author(s): Tao L, Song H, Chakrabarti S

Publication type: Article

Publication status: Published

Journal: Coastal Engineering

Year: 2007

Volume: 54

Issue: 11

Pages: 825-834

ISSN (print): 0378-3839

ISSN (electronic): 1872-7379

Publisher: Elsevier BV

URL: http://dx.doi.org/10.1016/j.coastaleng.2007.05.008

DOI: 10.1016/j.coastaleng.2007.05.008

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