Comparison of Two Versions of the MNLS With the Full Water Wave Equations

Tianning Tang, Ye Li , Harry B. Bingham, Thomas A. A. Adcock

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

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 languageEnglish
Title of host publicationProceedings of the ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering
Number of pages10
VolumeVolume 6B: Ocean Engineering
PublisherAmerican Society of Mechanical Engineers
Publication date2020
Article numberOMAE2020-18919
ISBN (Electronic)978-0-7918-8438-6
DOIs
Publication statusPublished - 2020
Event39th International Conference on Ocean, Offshore and Arctic Engineering (OMAE2020) - Virtual Conference
Duration: 3 Aug 20207 Aug 2020

Conference

Conference39th International Conference on Ocean, Offshore and Arctic Engineering (OMAE2020)
LocationVirtual Conference
Period03/08/202007/08/2020

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