When Do JONSWAP Spectra Lead to Soliton Gases in Deep Water Conditions?

When Do JONSWAP Spectra Lead to Soliton Gases in Deep Water Conditions?

Lee, Y.C. (TU Delft Team Michel Verhaegen)
Brühl, M. (Rambøll)
Wahls, S. (TU Delft Team Michel Verhaegen; TU Delft Team Sander Wahls)

2023

When a large number of solitons dominates the dynamics of a system, scientists describe this collective behaviour of solitons as a soliton gas. Soliton gases are currently the subject of intense practical and theoretical investigations. The existence of soliton gases has been confirmed in experiments, but is not clear what kind of sea states might lead to soliton gases. Therefore, in order to determine the wave parameters for sea states that lead to soliton gases, large numbers of surface wave elevations are generated by the well-known JOSNWAP model in this paper. Here, we only discuss soliton gases in deep water governed by the nonlinear Schrödinger (NLS) equation. The nonlinear Fourier transform (NFT) with vanishing boundary conditions is applied to the simulated ocean surface waves. The resulting nonlinear Fourier spectrum is used to calculate the energy of radiation waves and solitons. We investigate which JONSWAP parameters result in sea states that can be characterized as soliton gases, and find that a large Phillip’s parameter α, a large peak enhancement parameter γ and a short peak period T_P are important factors for soliton gas conditions. The results allow researchers to estimate how likely soliton gases are in deep waters. Furthermore, we find that the appearance of rogue waves is slightly increased in highly nonlinear sea states with soliton gas-like conditions.

Deep water waves
JONSWAP spectrum
Nonlinear Fourier transform
Soliton gas

http://resolver.tudelft.nl/uuid:d64b5a67-3c3c-4fa1-b5a0-bd457cc80bb8

https://doi.org/10.1115/OMAE2023-104326

The American Society of Mechanical Engineers (ASME)

2024-03-22

978-0-7918-8687-8

Ocean Engineering: ASME 2023 42nd International Conference on Ocean, Offshore and Arctic Engineering, 5

ASME 2023 42nd International Conference on Ocean, Offshore and Arctic Engineering, OMAE 2023, 2023-06-11 → 2023-06-16, Melbourne, Australia

Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering - OMAE, 5

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Institutional Repository

conference paper

© 2023 Y.C. Lee, M. Brühl, S. Wahls