The impact of removing the high-frequency spectral tail on rogue wave statistics

<p>When making directional surface gravity waves in a wave tank or when initialising numerical simulations of the ocean, the wave spectrum is often curtailed suppressing higher frequencies and wavenumbers. We consider the impact of doing this by numerically simulating two seminal experiments,...

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Main Authors: Tang, T, Barratt, D, Bingham, HB, van den Bremer, TS, Adcock, TAA
Format: Journal article
Language:English
Published: Cambridge University Press 2022
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author Tang, T
Barratt, D
Bingham, HB
van den Bremer, TS
Adcock, TAA
author_facet Tang, T
Barratt, D
Bingham, HB
van den Bremer, TS
Adcock, TAA
author_sort Tang, T
collection OXFORD
description <p>When making directional surface gravity waves in a wave tank or when initialising numerical simulations of the ocean, the wave spectrum is often curtailed suppressing higher frequencies and wavenumbers. We consider the impact of doing this by numerically simulating two seminal experiments, those of Onorato <em>et al. (J. Fluid Mech.,</em> vol. 627, 2009, pp. 235–257, R2) and Latheef & Swan (<em>Proc. R. Soc.</em> A, vol. 469, no. 2152, 2013, p. 20120696). We simulate waves using a fully nonlinear potential-flow model. We find that curtailing the spectrum can have a significant impact on the subsequent evolution. In particular, for cases where the spectrum has been curtailed, the nonlinear physics produces significantly more extreme or rogue waves than are observed in the case where the full spectral tail was included in the initial conditions, and this difference persists over tens of periods after the waves are initialised. This suggests that sea states that are ‘out of equilibrium’ (i.e. with their tails removed) can produce a greater number of rogue waves. We show this can also have an impact on predicted loads on offshore infrastructure.</p>
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spelling oxford-uuid:50c98b5b-2040-4f29-b0ed-039f075a8d1d2023-03-24T10:22:01ZThe impact of removing the high-frequency spectral tail on rogue wave statisticsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:50c98b5b-2040-4f29-b0ed-039f075a8d1dEnglishSymplectic ElementsCambridge University Press2022Tang, TBarratt, DBingham, HBvan den Bremer, TSAdcock, TAA<p>When making directional surface gravity waves in a wave tank or when initialising numerical simulations of the ocean, the wave spectrum is often curtailed suppressing higher frequencies and wavenumbers. We consider the impact of doing this by numerically simulating two seminal experiments, those of Onorato <em>et al. (J. Fluid Mech.,</em> vol. 627, 2009, pp. 235–257, R2) and Latheef & Swan (<em>Proc. R. Soc.</em> A, vol. 469, no. 2152, 2013, p. 20120696). We simulate waves using a fully nonlinear potential-flow model. We find that curtailing the spectrum can have a significant impact on the subsequent evolution. In particular, for cases where the spectrum has been curtailed, the nonlinear physics produces significantly more extreme or rogue waves than are observed in the case where the full spectral tail was included in the initial conditions, and this difference persists over tens of periods after the waves are initialised. This suggests that sea states that are ‘out of equilibrium’ (i.e. with their tails removed) can produce a greater number of rogue waves. We show this can also have an impact on predicted loads on offshore infrastructure.</p>
spellingShingle Tang, T
Barratt, D
Bingham, HB
van den Bremer, TS
Adcock, TAA
The impact of removing the high-frequency spectral tail on rogue wave statistics
title The impact of removing the high-frequency spectral tail on rogue wave statistics
title_full The impact of removing the high-frequency spectral tail on rogue wave statistics
title_fullStr The impact of removing the high-frequency spectral tail on rogue wave statistics
title_full_unstemmed The impact of removing the high-frequency spectral tail on rogue wave statistics
title_short The impact of removing the high-frequency spectral tail on rogue wave statistics
title_sort impact of removing the high frequency spectral tail on rogue wave statistics
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