Characterization of the emergence of rogue waves from given spectra through a Wigner equation approach

Agissilaos G. Athanassoulis (Lead / Corresponding author)

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

The Wigner transform can be used to derive equations directly for the evolution of the autocorrelation of the sea elevation. This has been known in the literature as the derivation of the Alber equation, and applies to envelope equations. Wigner-Alber equations have been used to characterise spectra as either stable or unstable, and to predict Fermi-Pasta-Ulam recurrent dynamics for the unstable ones. Here we show that a systematic study of Wigner equations can improve this analysis in several respects, including: (i) the incorporation of accurate dispersion and (simple) wave breaking effects; and (ii) the characterization of the space and time scales over which localized extreme events emerge. More broadly this approach can be seen as a full modulation instability analysis for any measured spectrum. This work builds upon recent joint work with G. Athanassoulis and T. Sapsis.

Original languageEnglish
Title of host publicationASME Proceedings
Subtitle of host publicationStructures, Safety, and Reliability
PublisherAmerican Society of Mechanical Engineers
Pages1-6
Number of pages6
Volume3
ISBN (Electronic)9780791851227
DOIs
Publication statusPublished - 2018
EventASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering, OMAE 2018 - Madrid, Spain
Duration: 17 Jun 201822 Jun 2018

Conference

ConferenceASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering, OMAE 2018
CountrySpain
CityMadrid
Period17/06/1822/06/18

Keywords

  • Spectra (Spectroscopy)
  • Waves

Fingerprint Dive into the research topics of 'Characterization of the emergence of rogue waves from given spectra through a Wigner equation approach'. Together they form a unique fingerprint.

Cite this