Abstract
Rogue waves are extreme waves in the ocean that appear from nowhere and disappear without a trace. They are usually modelled by the nonlinear Schrödinger equation (NLS), which describes nonlinear phenomena such as modulational instability and solitons on finite backgrounds. In this study, the periodic nonlinear Fourier transform (NFT) for the NLS equation is applied to simulate ocean surface waves in deep water. The temporal and spatial structures of surface waves are obtained by evolving JONSWAP time series using the NLS equation. Several parameters extracted from the NFT spectra of the initial time series are investigated as predictors for the maximum wave height during evolution. We investigate several parameters from the literature, and find that with suitably optimized coefficients, a NFT-based parameter based on the largest unstable mode has a good correlation with the overall maximum wave amplitude. This new spectral criterion can contribute to rogue wave forecasting under extreme sea states.
| Original language | English |
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| Title of host publication | Proceedings of the ASME 2022 41th International Conference on Ocean, Offshore and Arctic Engineering (OMAE 2022) |
| Subtitle of host publication | Ocean Engineering; Honoring Symposium for Professor Günther F. Clauss on Hydrodynamics and Ocean Engineering |
| Publisher | ASME |
| Number of pages | 11 |
| Volume | 5B |
| ISBN (Electronic) | 978-0-7918-8590-1 |
| DOIs | |
| Publication status | Published - 2022 |
| Event | 41th International Conference on Ocean, Offshore and Arctic Engineering - Hamburg, Germany Duration: 5 Jun 2022 → 10 Jun 2022 |
Conference
| Conference | 41th International Conference on Ocean, Offshore and Arctic Engineering |
|---|---|
| Country/Territory | Germany |
| City | Hamburg |
| Period | 5/06/22 → 10/06/22 |
Keywords
- Schrödinger equation
- Waves
- Time series
- Fourier transforms
- Oceans
- Seas
- Solitons
- Spectra (Spectroscopy)
- Surface waves (Fluid)
- Water
- Wave amplitude
- Wind waves