Green–Naghdi理论，B部分：深水波Green–Naghdi(GN)方程（英文）
作者机构：College of Shipbuilding Engineering Harbin Engineering University Civil & Environmental Engineering University of California
出 版 物：《Journal of Marine Science and Application》 (哈尔滨工程大学学报(英文版))
年 卷 期：2023年第1期
页 面：44-51页
核心收录：
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.
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