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Fully nonlinear deep water wave Green-Naghdi theory

Regular waves. Wave boundary conditions are linear superposition method. The wave number of the monochromatic waves from small to large order. Take the middle value of the average wave number 2. 168S when the simulation results for irregular waves shown in Figure 5. Figure 5168S irregular waves when Fig. 5Irregularwaveat168S can be seen from Figure 5, the use of Stokes wave theory analytic solution of linear superposition of the results of simulation of irregular waves,[link widoczny dla zalogowanych], and the use of linear superposition of waves with fully nonlinear boundary conditions of G-N theory of the simulation results are different ,[link widoczny dla zalogowanych], compared to, G-N theory show obvious nonlinear characteristics. 5 Conclusion G-N theory based on deep water wave simulation program was prepared, through the monochromatic wave, color and irregular waves in the numerical simulation, the following main conclusions: 1) Lever Ⅲ G-N theory and LevelIVG-N theory can be good simulation of fluid particle deep monochromatic wave velocity,[link widoczny dla zalogowanych], also shows that the objective theory of G-N fluid particles along the depth direction on the rate assumption is correct. 2) Whether the problem in describing the wave front, or in the description of the fluid particle velocity, the same boundary conditions of nonlinear wave, deep LevelmG-N theory LevelIVG-N theoretical results than the results more accurate. Recommend the use of Deep Level Ⅲ G-N theory. 3) Sham LevelmG-N theory of fully nonlinear simulation of deep color wave, linear wave boundary conditions The results are very close to the boundary conditions of nonlinear wave results, indicating that the boundary conditions using linear wave the impact of the entire wave field is not. 4) The color of deep water waves and irregular waves in the numerical simulation, that the use of deep LevelmG-N with the linear wave theory and boundary conditions to simulate the fully nonlinear irregular waves deep water is feasible. Acknowledgements: This paper is to discuss the author and Professor Webster was inspired to start after, and the enthusiasm of Professor Webster received guidance and help, in this deeply grateful. References: [1] STOKESGG. Onthetheoryofoscillatorywaves [J]. TransactionsoftheCambridgePhilosophicalSociety ,1847,8:441-445. [2] Zou Zhili. Water wave theory and its application [M]. Beijing: Science Press ,[link widoczny dla zalogowanych],2005:15-45. [3] FENTONJD. Afifth-orderstokestheoryforsteadywave [J]. JournalofWaterwayPortCoastalandOceanEngi-neering, 1985,111 (2) :216-234. [4] CHAPLINJR. Developmentofstreamfunctionwavetheory [J]. CoastalEngineering ,1980,3:179-205. [5] GREENAE, LAWSN, NAGHDIPM. Onthetheoryofwaterwaves [C] / / ProcRoySoc. London, 1974. [6] DEMIRBILEKZ,[link widoczny dla zalogowanych], WEBSTERWC. ApplicationoftheGreen-Naghditheoryoffluidsheetstoshallow-waterwaves. Report1: modelformulation. NoCERC-92-11 [R]. Vicks ・ burg: USArmyWatExpSta, 1992. [7] DEMIRBILEKZ, WEBSTERWC. User'smanualandex-amplesforGNWE. NoCERC a 92-13 [R]. Vickurg: USArmyWarExpSta, 1992. [8] WEBSTERWC, KIMDoyoung. Thedispersionoflarge-amplitudegravitywavesindeepwater [C] / / Pro8thSymponNavalHydrodynamics. AnnArbor, USA, 1990. [Editor: Zheng for]

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