Green–Naghdi理论,B部分:深水波Green–Naghdi(GN)方程  

Green-Naghdi Theory,Part B:Green-Naghdi Equations for Deep Water Waves

作　　者：段事良 赵彬彬 W.C.Webster Shiliang Duan;Binbin Zhao;W.C.Webster(College of Shipbuilding Engineering,Harbin Engineering University,Harbin 150001,China;Civil&Environmental Engineering,University of California,Berkeley CA94704,USA)

机构地区：[1]College of Shipbuilding Engineering,Harbin Engineering University,Harbin 150001,China [2]Civil&Environmental Engineering,University of California,Berkeley CA94704,USA

出　　处：《哈尔滨工程大学学报（英文版）》2023年第1期44-51,共8页Journal of Marine Science and Application

摘　　要：“Green–Naghdi Theory,Part A:Green–Naghdi(GN)Equations for Shallow Water Waves”have investigated the linear dispersion relations of high-level GN equations in shallow water.In this study,the GN equations for deep water waves are investigated.In the traditional GN equations for deep water waves,the velocity distribution assumption involves only one representative wave number.Herein,a new velocity distribution shape function with multiple representative wave numbers is employed.Further,we have derived the three-dimensional GN equations and analyzed the linear dispersion relations of the GN-3 and GN-5 equations.In this study,the finite difference method is used to simulate focus waves in the time domain.Additionally,the GN-5 equations are used to validate the wave profile and horizontal velocity distribution along water depth for different focused waves.

关 键 词：Green–Naghdi equations Finite difference Water waves Deep water Focused waves 

分 类 号：P731.22[天文地球—海洋科学]