The wave energy density spectrum provides useful information for both coastal engineering practice and applied sciences. However, it is not always available at desired location which can be far away from the observation stations, and should be achieved using approximated approaches. Nevertheless, the spectrum at the desired location may differ significantly from the approximated one due to nonlinear effects. In this paper, long-duration and large-scale evolutions of the wave spectrum in shallow water is investigated numerically. Direct simulations of random seas are carried out by using the weakly nonlinear KdV equation and the fully nonlinear Enhanced Spectral Boundary Integral (ESBI) model respectively. Due to nonlinear effects, the spectral shape is modified and the energy is redistributed after a long-duration (∼1000 peak periods) and large-scale (∼128 peak wave lengths) evolution. The results obtained by using fully nonlinear ESBI model here demonstrate that the flatness occurs only when both the conditions, i.e., large Ursell number and large wave steepness, are satisfied; It will not happen if the Ursell number is large but the steepness is small. This is different from the existing understanding in literature, i.e. spectra tended to become flat (or nearly uniformly distributed) in low frequency part as long as Ursell number is sufficiently large.
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ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering
June 19–24, 2016
Busan, South Korea
Conference Sponsors:
- Ocean, Offshore and Arctic Engineering Division
ISBN:
978-0-7918-4992-7
PROCEEDINGS PAPER
Numerical Investigation on Spectrum Evolution of Narrow-Banded Random Waves in Shallow Water Based on KdV and Fully Nonlinear Model
Jinghua Wang,
Jinghua Wang
City University London, London, UK
Search for other works by this author on:
Shiqiang Yan
Shiqiang Yan
City University London, London, UK
Search for other works by this author on:
Jinghua Wang
City University London, London, UK
Q. W. Ma
City University London, London, UK
Shiqiang Yan
City University London, London, UK
Paper No:
OMAE2016-54169, V001T01A023; 8 pages
Published Online:
October 18, 2016
Citation
Wang, J, Ma, QW, & Yan, S. "Numerical Investigation on Spectrum Evolution of Narrow-Banded Random Waves in Shallow Water Based on KdV and Fully Nonlinear Model." Proceedings of the ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering. Volume 1: Offshore Technology; Offshore Geotechnics. Busan, South Korea. June 19–24, 2016. V001T01A023. ASME. https://doi.org/10.1115/OMAE2016-54169
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