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Numerical simulations of Peregrine breathers using a spectral element model
Chalmers University of Technology, Sweden.
RISE - Research Institutes of Sweden, Safety and Transport, Safety. Aalborg University, Denmark.ORCID iD: 0000-0001-6934-634x
DTU Technical University of Denmark, Denmark.
2018 (English)In: Proceedings of the 37th International Conference on Ocean, Offshore and Arctic EngineeringOMAE 2018June 17-22, 2018, Madrid, Spain, 2018, Vol. 11A, article id OMAE2018-77648Conference paper, Published paper (Refereed)
Abstract [en]

Breather solutions to the nonlinear Schrödinger equation have been put forward as a possible prototype for rouge waves and have been studied both experimentally and numerically. In the present study, we perform high resolution simulations of the evolution of Peregrine breathers in finite depth using a fully non- linear potential flow spectral element model. The spectral ele- ment model can accurately handle very steep waves as illustrated by modelling solitary waves up to limiting steepness. The an- alytic breather solution is introduced through relaxation zones. The numerical solution obtained by the spectral element model is shown to compare in large to the analytic solution as well as to CFD simulations of a Peregrine breather in finite depth pre- sented in literature. We present simulations of breathers over variable bathymetry and 3D simulations of a breather impinging on a mono-pile.

Place, publisher, year, edition, pages
2018. Vol. 11A, article id OMAE2018-77648
National Category
Marine Engineering
Identifiers
URN: urn:nbn:se:ri:diva-35959DOI: 10.1115/OMAE2018-77684Scopus ID: 2-s2.0-85053463612ISBN: 978-0-7918-5132-6 (electronic)OAI: oai:DiVA.org:ri-35959DiVA, id: diva2:1261217
Conference
ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering
Funder
Swedish Energy Agency, P41125-1Available from: 2018-11-06 Created: 2018-11-06 Last updated: 2023-05-16Bibliographically approved

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Eskilsson, Claes

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