Sea evolution scene emulation method of multiple shortwave nonlinearly modulated by longwave

Abstract

The invention relates to an evolution scene simulation method for waves after multiple short waves are nonlinearly modulated by long waves. The method comprises the following steps: according to the deep-sea dynamic boundary conditions, a perturbation method is used to a solve the sea surface space-time evolution analytical solution when a short 0 is nonlinearly modulated by a long wave 0; the obtained analytical solution is taken as a long wave 1, and a second short wave 1 is nonlinearly modulated by the long wave 1; after the short waves are nonlinearly modulated, the waves are regarded as waves with variable amplitude, variable frequency and variable wavelength; the short waves are modulated by the long waves, and the long wave parameters are affected by the short waves, so that the long waves become with the amplitude, frequency and other parameters varying with space and time. Therefore, the problem that boundary conditions are not be used to solve the analytical solution of the nonlinear modulation between a long wave and more than two short waves is solved.

Description

technical field [0001] The invention belongs to the technical field of marine dynamics engineering, and in particular relates to a method for simulating a sea wave evolution scene in which multiple short waves are nonlinearly modulated by long waves. Background technique [0002] Numerical simulation of space-time evolution of deep-sea waves is an important applied research work in the field of marine dynamics engineering technology, and an indispensable part of deep-sea oil platform and shipbuilding technology. So far, deep-sea wave simulation techniques have been limited to linear wave models. [0003] Pierson and Moskowitz[1] first proposed the famous PM wave spectrum by observing fully developed wind waves and their parameters. Hasselman et al. proposed the JONSWAP spectrum for the observation of North Ocean waves and their parameters [2]. Recently, J.H.G.M.Alves et al. [3] corrected the PM spectrum. These wave spectrum models become the basis for deep-sea wave simula...

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Problems solved by technology

Since deep sea waves are not linear, long waves have a modulating effect on parameters such as wavelength and amplitude of short waves (Longuet-Higgins et al. [5]), the simulation method of linear wave superposition cannot accurately simulate real sea conditions, although E.Lo, C.C.Mei et al.[ 6] A pseudo-spectral Fourier method is proposed to numerically simulate the nonlinear Schrödinger evolution equation, but the Schrödinger evolution equation mainly considers the evolution of completely nonlinear solitary waves. In fact, deep-sea waves are linear and Models of Nonlinear Superposition

Existing theories cannot obtain the analytical solution of multiple short waves modulated by long waves, which leads to the inability of existing ocean wave models to characterize the nonlinear modulation effect of long waves on multiple short waves

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