A method of generating sea surface with one-way propagating waves based on Monte Carlo method
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
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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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