A numerical method for nonlinear water waves

Xi zeng ZHAO, Zhao chen SUN, Shu xiu LIANG, Chang hong HU

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


This article presents a numerical method for modeling nonlinear water waves based on the High Order Spectral (HOS) method proposed by Dommermuth and Yue and West et al., involving Taylor expansion of the Dirichlet problem and the Fast Fourier Transform (FFT) algorithm. The validation and efficiency of the numerical scheme is illustrated by a number of case studies on wave and wave train configuration including the evolution of fifth-order Stokes waves, wave dispersive focusing and the instability of Stokes wave with finite slope. The results agree well with those obtained by other studies.

Original languageEnglish
Pages (from-to)401-407
Number of pages7
JournalJournal of Hydrodynamics
Issue number3
Publication statusPublished - Jun 2009

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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