On Stokes wave solutions

Kuifeng Zhao, Philip L.F. Liu

研究成果: Article同行評審

13 引文 斯高帕斯(Scopus)

摘要

Using a perturbation method with the aid of MATLAB ® Symbolic Toolbox, a new set of Stokes wave solutions, up to the fifth order, are derived. The new solutions are expressed in terms of free surface profile, velocity potential and wave celerity (or frequency dispersion relation). The solutions in the deep water limit are also deduced and discussed. The new solutions are compared with the existing solutions up to the fifth order. Differences appear among the existing and the present solutions, starting at the third order. The causes for the differences are identified. The characteristic differences were highlighted in the figures for high order solutions of Stokes waves. Numerical examples are provided to quantify the differences between the new fifth-order solutions and Fenton's, and Skjelbreia and Hendrickson's solutions.

原文English
文章編號20210732
期刊Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
478
發行號2258
DOIs
出版狀態Published - 2022

All Science Journal Classification (ASJC) codes

  • 一般數學
  • 一般工程
  • 一般物理與天文學

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