Nonlinear progressive waves in water of finite depth — an analytic approximation
Nonlinear progressive waves in water of finite depth — an analytic approximation
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DOI：
10.1016/j.coastaleng.2007.05.008
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发表时间：
2007-11
影响因子：
4.4
通讯作者：
L. Tao;H. Song;S. Chakrabarti
中科院分区：
文献类型：
--
作者：
L. Tao;H. Song;S. Chakrabarti
提出了用同伦分析方法描述有限深度水中非线性进行波的解析解。波的速度势用傅里叶级数表示，并通过连续映射满足非线性自由表面边界条件。与摄动法不同，本方法不依赖于小参数。因此，对于陡峭的波浪，解决方案是可能的。此外，通过使用同伦-帕达近似，显著提高了收敛速度和收敛区域。计算结果与以往的数值和实验结果吻合较好。
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.