A method of generating sea surface with one-way propagating waves based on Monte Carlo method
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A wave, one-way technology, applied in the direction of instruments, complex mathematical operations, calculations, etc., can solve problems such as inconsistency with the actual situation, and achieve the effect of follow-up research promotion
Active Publication Date: 2020-09-18
HUAZHONG UNIV OF SCI & TECH
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[0005] Aiming at the defects of the prior art, the purpose of the present invention is to solve the technical problem that the sea surface generated by sea surface simulation in the prior art does not conform to the actual situation
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Embodiment 1
[0052] In Embodiment 1, the wind speed U at an altitude of 10 meters above sea level is 9m / s, and the angle of one-way wave propagation is φ 0 =90°. Therefore, the areas in the wave height spectrum that need to preserve spectral values are:
[0053] k y >tan(π)k x .
[0054] The wave height spectrum used is PM (Pierson-Moskowitz) spectrum, the wave height spectrum F(k x ,k y ) is expressed as:
[0055]
[0056] Among them, k x ,k y represent the wave number vector Projected wavenumbers on the horizontal and vertical axes; wavenumbers corresponding to spectral peaks g represents the acceleration of gravity; U represents the wind speed at an altitude of 10 meters, and the unit is m / s; represents a wavenumber vector whose magnitude is θ(k x ,k y ) represents the vector (k x ,k y ) and the clockwise angle of the positive direction of the abscissa axis, and its value ranges from 0 to 2π; φ 0 Indicates the angle of propagation of the wave.
[0057] Step S2....
corresponding Embodiment 1
[0061] Corresponding to Embodiment 1, after setting the wave height spectrum to zero, it becomes:
[0062]
[0063] Step S3. Obtain a normalized amplitude spectrum according to the zero-set wave height spectrum.
[0064] S301. The wave number in the wave height spectrum is discretized, and the discrete wave number coordinates are substituted into the zero-set wave height spectrum to obtain the discrete wave height spectrum S(k mx ,k ny ).
[0065] k mx =mΔk x
[0066] k ny =nΔk y
[0067]
[0068]
[0069] Among them, k mx ,k ny Represents the discrete wave number in the wave height spectrum; Δk x , Δk y Represents the minimum wavenumber element of discrete subdivision in the wavenumber domain; L x is the length of the sea surface, L y is the width of the sea surface; m and n are the subscripts of the wave number domain, and the value range is M and N represent the horizontal and vertical points of the discrete sea surface, and their values are even n...
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Abstract
The invention discloses a Monte Carlo method-based sea surface generating method for unidirectionally propagating sea waves, which comprises the following steps of: setting a wave height spectrum reservation region according to the propagation angle of the unidirectionally propagating sea waves; zero setting processing is carried out on the wave height spectrum outside the reserved area; obtaininga normalized amplitude spectrum according to the zero-set wave height spectrum; and based on a Monte Carlo method sea surface model, generating a sea surface of unidirectionally propagating sea wavesaccording to the normalized amplitude spectrum. According to the invention, a wave height spectrum reservation region is set according to the wave propagation direction, the spectrum value in the region is reserved, the spectrum value outside the region is set to be zero, and the phenomenon that wave crests and wave troughs move left and right on the original position on the sea surface during single-frequency fluctuation superposition is avoided; aiming at a non-conjugate symmetric wave high spectrum generation sea surface, a new normalized amplitude spectrum provided can ensure energy conservation; due to zero setting processing, the normalization amplitude spectrum concentrates the main energy in the determined sea wave propagation direction, and the generated sea surface can move along the main wave direction along with the change of time and better conforms to the movement of the real sea surface.
Description
technical field [0001] The invention belongs to the field of sea surface simulation, and more specifically relates to a method for generating a sea surface of one-way propagating waves based on a Monte Carlo method. Background technique [0002] Sea surface simulation is a link in the technical chain of marine remote sensing surveying. Its improvement plays an important role in promoting the summary of measured wave hyperspectral data, the use of measured data for simulation experiments, and further exploration of ocean properties. [0003] Existing techniques for simulating sea surfaces mainly include: a method for generating sea surfaces based on the Longuest-Higgins sea surface model. The model considers that the sea surface displacement at a fixed point is formed by the superposition of single-frequency fluctuations with different amplitudes and frequencies. The sea surface is generated by substituting parameters such as amplitude spectrum and random initial phase. How...
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