The one-dimensional fast Fourier transform (FFT) has been applied extensively to simulate Gaussian random wave elevations and water particle kinematics. The actual sea elevations/kinematics exhibit non-Gaussian characteristics that can be represented mathematically by a second-order random wave theory. The elevations/kinematics formulations contain frequency sum and difference terms that usually lead to expensive time-domain dynamic analyses of offshore structural responses. 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 forward FFT are implemented, respectively, across the two dimensions of the wave interaction matrix. Given specified wave conditions, the statistics of simulated elevations/kinematics compare well with not only the empirical fits but also the analytical solutions based on a modified eigenvalue/eigenvector approach, while the computational effort of simulation is very economical. In addition, the stochastic analyses in both time domain and frequency domain show that, attributable to the second-order nonlinear wave effects, the near-surface Morison force and induced linear oscillator response are more non-Gaussian than those subjected to Gaussian random waves.
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e-mail: xiang.y.zheng@ntnu.no
e-mail: tormo@ntnu.no
e-mail: cveqst@nus.edu.sg
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November 2007
Technical Papers
Non-Gaussian Random Wave Simulation by Two-Dimensional Fourier Transform and Linear Oscillator Response to Morison Force
Xiang Yuan Zheng,
Xiang Yuan Zheng
Centre for Ships and Ocean Structures,
e-mail: xiang.y.zheng@ntnu.no
Norwegian University of Science and Technology
, Trondheim 7491, Norway
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Torgeir Moan,
Torgeir Moan
Centre for Ships and Ocean Structures,
e-mail: tormo@ntnu.no
Norwegian University of Science and Technology
, Trondheim 7491, Norway
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Ser Tong Quek
Ser Tong Quek
Civil Engineering Department,
e-mail: cveqst@nus.edu.sg
National University of Singapore
, Singapore 117576, Singapore
Search for other works by this author on:
Xiang Yuan Zheng
Centre for Ships and Ocean Structures,
Norwegian University of Science and Technology
, Trondheim 7491, Norwaye-mail: xiang.y.zheng@ntnu.no
Torgeir Moan
Centre for Ships and Ocean Structures,
Norwegian University of Science and Technology
, Trondheim 7491, Norwaye-mail: tormo@ntnu.no
Ser Tong Quek
Civil Engineering Department,
National University of Singapore
, Singapore 117576, Singaporee-mail: cveqst@nus.edu.sg
J. Offshore Mech. Arct. Eng. Nov 2007, 129(4): 327-334 (8 pages)
Published Online: May 2, 2007
Article history
Received:
October 7, 2006
Revised:
May 2, 2007
Citation
Zheng, X. Y., Moan, T., and Quek, S. T. (May 2, 2007). "Non-Gaussian Random Wave Simulation by Two-Dimensional Fourier Transform and Linear Oscillator Response to Morison Force." ASME. J. Offshore Mech. Arct. Eng. November 2007; 129(4): 327–334. https://doi.org/10.1115/1.2783888
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