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Fully Nonlinear Shallow Water Waves Simulation Using Green-Naghdi Theory(PDF)

《船舶与海洋工程学报》[ISSN:1002-2848/CN:61-1400/f]

期数:
2010年01
页码:
1-7
栏目:
出版日期:
2010-02-25

文章信息/Info

Title:
Fully Nonlinear Shallow Water Waves Simulation Using Green-Naghdi Theory
作者:
赵彬彬; 段文洋
Author(s):
Bin-bin Zhao*; Wen-yang Duan
College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China
关键词:
Green-Naghdi theory;  Boussinesq model;  fully nonlinear water waves;  shoaling waves
分类号:
-
DOI:
-
文献标识码:
A
摘要:
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.

参考文献/References

Demirbilek Z, Webster WC (1992a). Application of the Green-Naghdi theory of fluid sheets to shallow-water waves, Report 1, Model formulation. US Army Wat. Exp. Sta., Coastal Engng. Res. Cntr., Vicksburg, Technical Report No. CERC-92-11.

Demirbilek Z, Webster WC (1992b). User’s manual and examples for GNWAVE. US Army Wat. Exp. Sta., Coastal Engng. Res. Cntr., Vicksburg, Technical Report No. CERC-92-13.

Green AE, Laws N, Naghdi PM (1974). On the theory of water waves. Proc R Soc Lond A, 338, 43-55.

Luth HR, Klopman G, Kitou N (1994). Kinematics of waves breaking partially on an offshore bar: LVD measurements for waves without a net onshore current. Delft Hydraulics, Delft, The Netherlands, Technical Report No. H1573.

Madsen PA, Bingham HB, Liu H (2002). A new Boussinesq method for fully nonlinear waves from shallow to deep water. Journal of Fluid Mechanics, 462, 1-30.

Madsen PA, Bingham HB, Schafer HA (2003). Boussinesq-type formulations for fully nonlinear and extremely dispersive water waves: derivation and analysis. Proc R Soc Lond A, 459, 1075-1104.

Rienecker MM, Fenton JD (1981). A Fourier approximation method for water waves. Journal of Fluid Mechanics, 104, 119-137.

Wang Yanying (2008). Discussion on the parameters of design waves. Journal of Marine Science and Application, 7(3), 162-167.

Webster WC, Kim DY (1990). The dispersion of large-amplitude gravity waves in deep water. Proceeding of 18th Symposium on Naval Hydrodynamics, National Academy Press, Michigan, 397-415.

Zhao Binbin, Duan Wenyang (2009). Research on the Green-Naghdi theory for fully nonlinear deep water waves. Journal of Harbin Engineering University, 30(8), 860-866. (in Chinese)

备注/Memo

备注/Memo:
-
更新日期/Last Update: 2010-03-10