Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2009-06-01

Journal: JOURNAL OF HYDRODYNAMICS

Included Journals: EI、SCIE

Volume: 21

Issue: 3

Page Number: 401-407

ISSN: 1001-6058

Key Words: high order spectral method; wave focusing; wave instability; fifth-order Stokes wave; Fast Fourier Transform (FFT)

Abstract: 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.