Second-Oorder Analytic Solutions of Nonlinear Interactions
of Edge Waves on A Plane Sloping Bottom |
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| Authors: | HONG Guang-wen and ZHANG Yu |
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| Institution: | Research Institute of Coastal and Ocean Engineering, Hohai University, Nanjing;Research Institute of Coastal and Ocean Engineering, Hohai University, Nanjing;College of Traffic and, Ocean Engineering, Hohai university, Nanjing |
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| Abstract: | Based on the full water-wave equation, a second-order analytic solution for nonlinear interaction of short edge waves on a constant plane sloping bottom is presented in this paper. For special case of slope angle b=p/2, this solution can be reduced to the same order solution of deep water gravity surface waves traveling along parallel coastline. Interactions between two edge waves including progressive, standing and partially reflected standing waves were also discussed. The unified analytic expressions with transfer functions for kinematic-dynamic elements of edge waves were also discussed. The random model of the unified wave motion processes for linear and nonlinear irregular edge waves is formulated, and the corresponding theoretical autocorrelation and spectral density functions of the first and second orders are derived. The boundary conditions for the determining determination of the parameters of short edge wave are suggested, that may be seen as one special simple edge wave excitation mechanism and an extension to the sea wave refraction theory. Finally some computation results are demonstrated. |
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| Keywords: | edge waves surface waves nonlinear wave interaction random process autocorrelation spectra |
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