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

Yu Chen Lee, Markus Brühl, Sander Wahls

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

Abstract

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 TP 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.

Original languageEnglish
Title of host publicationOcean Engineering
Subtitle of host publicationASME 2023 42nd International Conference on Ocean, Offshore and Arctic Engineering
PublisherThe American Society of Mechanical Engineers (ASME)
Number of pages13
Volume5
ISBN (Electronic)978-0-7918-8687-8
DOIs
Publication statusPublished - 2023
EventASME 2023 42nd International Conference on Ocean, Offshore and Arctic Engineering, OMAE 2023 - Melbourne, Australia
Duration: 11 Jun 202316 Jun 2023

Publication series

NameProceedings of the International Conference on Offshore Mechanics and Arctic Engineering - OMAE
Volume5

Conference

ConferenceASME 2023 42nd International Conference on Ocean, Offshore and Arctic Engineering, OMAE 2023
Country/TerritoryAustralia
CityMelbourne
Period11/06/2316/06/23

Bibliographical note

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.

Keywords

  • Deep water waves
  • JONSWAP spectrum
  • Nonlinear Fourier transform
  • Soliton gas

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