Abstract
Versions of the non-linear Schrödinger equation are frequently used for modelling the non-linear propagation of water waves. In this paper, we compare two models against the results of fully non-linear numerical simulations. We consider uni-directional versions of the non-linear Schrödinger equation of Dysthe et al. with the hybrid model of Trulsen et al. The model of Trulsen et al. is shown to have clear advantages in all situations considered including modelling wave crest statistics for highly non-linear cases. However, for very broad bandwidths this model does start to break down, presumably due to the inherent limitation of the envelope representation of water waves. This in turn leads to a small, non-physical, leakage of energy in nonlinear simulations, although, this leakage is much smaller than for the version with 5th order linear dispersion relationship.
Original language | English |
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Title of host publication | Proceedings of the ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering |
Number of pages | 10 |
Volume | Volume 6B: Ocean Engineering |
Publisher | The American Society of Mechanical Engineers (ASME) |
Publication date | 2020 |
Article number | OMAE2020-18919 |
ISBN (Electronic) | 978-0-7918-8438-6 |
DOIs | |
Publication status | Published - 2020 |
Event | 39th International Conference on Ocean, Offshore and Arctic Engineering (OMAE2020) - Virtual Conference Duration: 3 Aug 2020 → 7 Aug 2020 |
Conference
Conference | 39th International Conference on Ocean, Offshore and Arctic Engineering (OMAE2020) |
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Location | Virtual Conference |
Period | 03/08/2020 → 07/08/2020 |