Green-Naghdi理论的全非线性浅水波数值模拟

Green-Naghdi理论的全非线性浅水波数值模拟

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.

作 者： 赵彬彬 段文洋 Bin-bin Zhao Wen-yang Duan   作者单位：   刊 名： 船舶与海洋工程学报（英文版）  英文刊名： JOURNAL OF MARINE SCIENCE AND APPLICATION  年，卷(期)： 2010 9(1)  分类号： U6  关键词： Green-Naghdi theory   Boussinesq model   fully nonlinear water waves   shoaling waves  

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