NDLI: Numerical Simulation of Non-Gaussian Wave Elevation and Kinematics Based on Two-Dimensional Fourier Transform

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Zheng, Xiang Yuan Moan, Torgeir Quek, Ser Tong
Copyright Year	2006
Abstract	The one-dimensional Fast Fourier Transform (FFT) has been extensively applied to efficiently simulate Gaussian wave elevation and water particle kinematics. The actual sea elevation/kinematics exhibit non-Gaussianities that mathematically can be represented by the second-order random wave theory. The elevation/kinematics formulation contains double-summation frequency sum and difference terms which in computation make the dynamic analysis of offshore structural response prohibitive. This study aims at a direct and efficient two-dimensional FFT algorithm for simulating the frequency sum terms. For the frequency difference terms, inverse FFT and FFT are respectively implemented across the two dimensions of the wave interaction matrix. Given specified wave conditions, not only the wave elevation but kinematics and associated Morison force are simulated. Favorable agreements are achieved when the statistics of elevation/kinematics are compared with not only the empirical fits but the analytical solutions developed based on modified eigenvalue/eigenvector approach, while the computation effort is very limited. In addition, the stochastic analyses in both time-and frequency domains show that the near-surface Morison force and induced linear oscillator response exhibits stronger non-Gaussianities by involving the second-order wave effects.
Sponsorship	Ocean, Offshore, and Arctic Engineering Division
Starting Page	7
Ending Page	16
Page Count	10
File Format	PDF
ISBN	0791847462
DOI	10.1115/OMAE2006-92014
e-ISBN	0791837777
Volume Number	Volume 1: Offshore Technology; Offshore Wind Energy; Ocean Research Technology; LNG Specialty Symposium
Conference Proceedings	25th International Conference on Offshore Mechanics and Arctic Engineering
Language	English
Publisher Date	2006-06-04
Publisher Place	Hamburg, Germany
Access Restriction	Subscribed
Subject Keyword	Water Fourier transforms Seas Computer simulation Wave theory of light Dynamic analysis Dimensions Statistics as topic Waves Harmonic oscillators Algorithms Computation Particulate matter Kinematics Eigenvalues Ocean engineering Fast fourier transforms
Content Type	Text
Resource Type	Article

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