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Efficient Computation of Nonlinear Crest Distributions for Irregular Stokes Waves

Part of: Probabilistic methods, simulation and stochastic differential equations Incompressible inviscid fluids

Published online by Cambridge University Press:  12 April 2016

Ying-Guang Wang
Ying-Guang Wang*
Affiliation:
School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China and State Key laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China
*
*Corresponding author. Email address:wyg110@sjtu.edu.cn (Y.-G.Wang)
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Abstract

This paper concerns the computation of nonlinear crest distributions for irregular Stokes waves, and a numerical algorithm based on the Fast Fourier Transform (FFT) technique has been developed for carrying out the nonlinear computations. In order to further improve the computational efficiency, a new Transformed Rayleigh procedure is first proposed as another alternative for computing the nonlinear wave crest height distributions, and the corresponding computer code has also been developed. In the proposed Transformed Rayleigh procedure, the transformation model is chosen to be a monotonic exponential function, calibrated such that the first three moments of the transformed model match the moments of the true process. The numerical algorithm based on the FFT technique and the proposed Transformed Rayleigh procedure have been applied for calculating the wave crest distributions of a sea state with a Bretschneider spectrum and a sea statewith the surface elevation datameasured at the Poseidon platform. It is demonstrated in these two cases that the numerical algorithm based on the FFT technique and the proposed Transformed Rayleigh procedure can offer better predictions than those from using the empirical wave crest distribution models. Meanwhile, it is found that our proposed Transformed Rayleigh procedure can compute nonlinear crest distributions more than 25 times faster than the numerical algorithm based on the FFT technique.

Keywords

Irregular Stokes wavescrest distributionTransformed Rayleigh procedureFast Fourier Transform (FFT) technique

MSC classification

Secondary: 76B15: Water waves, gravity waves; dispersion and scattering, nonlinear interaction 65C50: Other computational problems in probability 65C60: Computational problems in statistics 65C05: Monte Carlo methods
Type
Research Article
Information
Communications in Computational Physics , Volume 19 , Issue 4 , April 2016 , pp. 881 - 903
Copyright
Copyright © Global-Science Press 2016 

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