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

作　　者：陶爱峰 郑金海 MEE Mee Soe 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》2011年第4期679-686,共8页中国海洋工程（英文版）

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 Schrodinger 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 phase- resolved 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.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 Schrodinger 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 phase- resolved 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：Benjamin-Feir instability High Order Spectral （HOS） method recurrence period nonlinear wave-wave interaction 

分 类 号：TV139.2[水利工程—水力学及河流动力学]