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Citation:
　Bin-bin Zhao and Wen-yang Duan.Fully Nonlinear Shallow Water Waves Simulation Using Green-Naghdi Theory[J].Journal of Marine Science and Application,2010,(1):1-7.
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Fully Nonlinear Shallow Water Waves Simulation Using Green-Naghdi Theory

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Title:
Fully Nonlinear Shallow Water Waves Simulation Using Green-Naghdi Theory
Author(s):
Bin-bin Zhao and Wen-yang Duan
Affilations:
Author(s):
Bin-bin Zhao and Wen-yang Duan
College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China
Keywords:
Green-Naghdi theory;  Boussinesq model;  fully nonlinear water waves;  shoaling waves
分类号:
-
DOI:
-
Abstract:
Green-Naghdi (G-N) theory is a fully nonlinear theory for water waves. Some researchers call it a fully nonlinear Boussinesq model. Different degrees of complexity of G-N theory are distinguished by “levels” where the higher the level, the more complicated and presumably more accurate the theory is. In the research presented here a comparison was made between two different levels of G-N theory, specifically level II and level III G-N restricted theories. A linear analytical solution for level III G-N restricted theory was given. Waves on a planar beach and shoaling waves were both simulated with these two G-N theories. It was shown for the first time that level III G-N restricted theory can also be used to predict fluid velocity in shallow water. A level III G-N restricted theory is recommended instead of a level II G-N restricted theory when simulating fully nonlinear shallow water waves.

References:

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Memo

Memo:
Supported by the National Natural Science Foundation of China under Grant No. 50779008 and the 111 Project (B07019).


Last Update: 2010-04-16