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.
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25th International Conference on Offshore Mechanics and Arctic Engineering
June 4–9, 2006
Hamburg, Germany
Conference Sponsors:
- Ocean, Offshore, and Arctic Engineering Division
ISBN:
0-7918-4746-2
PROCEEDINGS PAPER
Numerical Simulation of Non-Gaussian Wave Elevation and Kinematics Based on Two-Dimensional Fourier Transform
Xiang Yuan Zheng,
Xiang Yuan Zheng
Norwegian University of Science and Technology, Trondheim, Norway
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Torgeir Moan,
Torgeir Moan
Norwegian University of Science and Technology, Trondheim, Norway
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Ser Tong Quek
Ser Tong Quek
National University of Singapore, Singapore
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Xiang Yuan Zheng
Norwegian University of Science and Technology, Trondheim, Norway
Torgeir Moan
Norwegian University of Science and Technology, Trondheim, Norway
Ser Tong Quek
National University of Singapore, Singapore
Paper No:
OMAE2006-92014, pp. 7-16; 10 pages
Published Online:
October 2, 2008
Citation
Zheng, XY, Moan, T, & Quek, ST. "Numerical Simulation of Non-Gaussian Wave Elevation and Kinematics Based on Two-Dimensional Fourier Transform." Proceedings of the 25th International Conference on Offshore Mechanics and Arctic Engineering. Volume 1: Offshore Technology; Offshore Wind Energy; Ocean Research Technology; LNG Specialty Symposium. Hamburg, Germany. June 4–9, 2006. pp. 7-16. ASME. https://doi.org/10.1115/OMAE2006-92014
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