2017
DOI: 10.1098/rspa.2016.0290
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A laboratory study of nonlinear changes in the directionality of extreme seas

Abstract: This paper concerns the description of surface water waves, specifically nonlinear changes in the directionality. Supporting calculations are provided to establish the best method of directional wave generation, the preferred method of directional analysis and the inputs on which such a method should be based. These calculations show that a random directional method, in which the phasing, amplitude and direction of propagation of individual wave components are chosen randomly, has benefits in achieving the req… Show more

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Cited by 22 publications
(26 citation statements)
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“…crossing waves), as opposed to focusing, the horizontal particle velocity of components normal to the mean direction under a wave crest begin to cancel out. This reduction in horizontal particle velocity affects the onset of wave breaking, as addressed explicitly in Latheef, Swan & Spinneken (2017), who found that the maximum wave steepness for a given sea state was proportional to spreading width in following-sea conditions. Earlier, She, Greated & Easson (1994), Nepf, Wu & Chan (1998) and Babanin et al (2011) have also observed that breaking waves may be larger and have steeper fronts as directional spreading is increased.…”
Section: Second-order Bound Harmonicsmentioning
confidence: 98%
“…crossing waves), as opposed to focusing, the horizontal particle velocity of components normal to the mean direction under a wave crest begin to cancel out. This reduction in horizontal particle velocity affects the onset of wave breaking, as addressed explicitly in Latheef, Swan & Spinneken (2017), who found that the maximum wave steepness for a given sea state was proportional to spreading width in following-sea conditions. Earlier, She, Greated & Easson (1994), Nepf, Wu & Chan (1998) and Babanin et al (2011) have also observed that breaking waves may be larger and have steeper fronts as directional spreading is increased.…”
Section: Second-order Bound Harmonicsmentioning
confidence: 98%
“…The random sea approach, characterised by an initially uniform phase distribution, captures the natural variability of wave focusing as well as interactions between neighbouring focused events and the global evolution of the background sea state. Steep wave events in a random sea have been found to exhibit front-rear asymmetry (Xiao et al 2013;Adcock, Taylor & Draper 2015;Fujimoto, Waseda & Webb 2019), contraction in the direction of propagation (Adcock et al 2015) and a localised reduction in spreading at focus (Adcock et al 2015;Latheef, Swan & Spinneken 2017). Steep wave groups in a random sea have also been observed to exhibit a prolonged 'lifetime' due to nonlinear interactions (Fujimoto et al 2019).…”
Section: Introductionmentioning
confidence: 99%
“…2015) and a localised reduction in spreading at focus (Adcock et al. 2015; Latheef, Swan & Spinneken 2017). Steep wave groups in a random sea have also been observed to exhibit a prolonged ‘lifetime’ due to nonlinear interactions (Fujimoto et al.…”
Section: Introductionmentioning
confidence: 99%
“…Rogue waves are typically expected to be steep and consequently exhibit a greater prevalence of nonlinearity. The shape of an extreme wave has been previously investigated for "weakly nonlinear" random seas featuring waves of moderate steepness with a uniform distribution of phase [4][5][6]. Random-sea investigations of extreme waves represent the most realistic approach and account for the natural variability of focused events as well as the interaction of focused events with surrounding wave groups and the background sea state.…”
Section: Introductionmentioning
confidence: 99%