Karhunen-Loeve representation of stochastic ocean waves
Name
Sclavounos_Karhunen-Loeve.pdf
Size
360.51 KB
Format
Adobe PDF
Checksum (MD5)
3bcd1e46f8a333cd78ede8e3fc2ab574
Author(s)
Sclavounos, Paul D.
Date Issued
May 2012
Journal
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Publisher
Royal Society
Citation
Sclavounos, P. D. Karhunen-Loeve Representation of Stochastic Ocean Waves. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 468, no. 2145 (July 27, 2012): 2574-2594.
Version
Author's final manuscript
Abstract
A new stochastic representation of a seastate is developed based on the Karhunen–Loeve spectral decomposition of stochastic signals and the use of Slepian prolate spheroidal wave functions with a tunable bandwidth parameter. The new representation allows the description of stochastic ocean waves in terms of a few independent sources of uncertainty when the traditional representation of a seastate in terms of Fourier series requires an order of magnitude more independent components. The new representation leads to parsimonious stochastic models of the ambient wave kinematics and of the nonlinear loads and responses of ships and offshore platforms. The use of the new representation is discussed for the derivation of critical wave episodes, the derivation of up-crossing rates of nonlinear loads and responses and the joint stochastic representation of correlated wave and wind profiles for use in the design of fixed or floating offshore wind turbines. The forecasting is also discussed of wave elevation records and vessel responses for use in energy yield enhancement of compliant floating wind turbines.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1098/rspa.2012.0063
