Re-study on Recurrence Period of Stokes Wave Train with High Order Spectral Method

查看全文 作　　者：[1,2]陶爱峰;[1,2]郑金海;MEE Mee [1,2,3]Soe;[1,2]陈波涛

机构地区：[1]State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering,Hohai University;[2]College of Harbor Coastal and Of fshore Engineering,Hohai University;[3]Department of Civil Engineering,Myanmar Maritime University,Myanmar

出　　处：《China Ocean Engineering》索引2011年第25卷第4期,共8页

基　　金：supported by the National Natural Science Foundation of China (Grant No. 41106001);the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 20100094110016);the Special Research Funding of State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering (Grant No. 2009585812);the Priority Academic Program Development of Jiangsu Higher Education Institutions (Coastal Development and Conservancy) 摘　　要：Owing to the Benjamin-Feir instability,the Stokes wave train experiences a modulation-demodulation process,and presents a recurrence characteristics.Stiassnie and Shemer researched the unstable evolution process and provided a theoretical formulation for the recurrence period in 1985 on the basis of the nonlinear cubic Schr dinger equation(NLS).However,NLS has limitations on the narrow band and the weak nonlinearity.The recurrence period is re-investigated in this paper by using a highly efficient High Order Spectral(HOS) method,which can be applied for the direct phaseresolved simulation of the nonlinear wave train evolution.It is found that the Stiassnie and Shemer's formula should be modified in the cases with most unstable initial conditions,which is important for such topics as the generation mechanisms of freak waves.A new recurrence period formula is presented and some new evolution characteristics of the Stokes wave train are also discussed in details. 关键词：STOKES波复发期高阶谱列车非线性薛定谔方程谱方法演化过程不稳定

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Re-study on Recurrence Period of Stokes Wave Train with High Order Spectral Method

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