A NUMERICAL METHOD FOR NONLINEAR WATER WAVES  

作　　者：ZHAO Xi-zeng SUN Zhao-chen LIANG Shu-xiu HU Chang-hong 

机构地区：[1]State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China [2]RIAM, Kyushu University, 6-1 Kasuga-koen, Kasuga, Fukuoka 816-8580, Japan

出　　处：《Journal of Hydrodynamics》2009年第3期401-407,共7页水动力学研究与进展B辑（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant No. 50779004)

摘　　要：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.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.

关 键 词：high order spectral method wave focusing wave instability fifth-order Stokes wave Fast Fourier Transform （FFT） 

分 类 号：O353.2[理学—流体力学] O241.81[理学—力学]