Steady solutions of high-level Irrotational Green-Naghdi equations for strongly nonlinear periodic waves

被引：3
|
作者：
Duan, W. Y. [1 ]
Zheng, K. [1 ]
Zhao, B. B. [1 ]
Ertekin, R. C. [1 ]
机构：
[1] Harbin Engn Univ, Coll Shipbldg Engn, Harbin 150001, Peoples R China
来源：
WAVE MOTION | 2017年 / 72卷
基金：
中国国家自然科学基金;
关键词：
High-level Irrotational Green-Naghdi equations; Steady water waves; Strongly dispersive wave; Nonlinear waves; WATER-WAVES; DIFFRACTION;
D O I：
10.1016/j.wavemoti.2017.04.003
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
The Irrotational Green-Naghdi (IGN) equations are categorized into different levels. The low-level IGN equations can be used in the propagation of weakly dispersive and strongly nonlinear waves. On the other hand, high-level IGN equations can deal with strongly dispersive and strongly nonlinear waves. We focus here on the simulations of the steady solutions of nonlinear periodic waves by a low-level IGN (IGN-2) equations and high-level IGN (IGN-4 and IGN-8) equations. In numerical tests, results of wave speed, wave profile and velocity distribution are given for finite-depth water waves and for four different wave lengths as well as for large amplitude deep water waves. By comparing the simulation results, high-level equations are shown to be in better agreement with an accurate theory, namely the stream function wave theory. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：303 / 316
页数：14
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