2020
DOI: 10.1103/physreve.102.013106
|View full text |Cite
|
Sign up to set email alerts
|

Fourier amplitude distribution and intermittency in mechanically generated surface gravity waves

Abstract: We examine and discuss the spatial evolution of the statistical properties of mechanically generated surface gravity wave fields, initialised with unidirectional spectral energy distributions, uniformly distributed phases and Rayleigh distributed amplitudes. We demonstrate that nonlinear interactions produce an energy cascade towards high frequency modes with a directional spread and triggers localised intermittent bursts. By analysing the probability density function of Fourier mode amplitudes in the high fre… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

1
13
0

Year Published

2020
2020
2023
2023

Publication Types

Select...
8
1

Relationship

2
7

Authors

Journals

citations
Cited by 17 publications
(15 citation statements)
references
References 49 publications
1
13
0
Order By: Relevance
“…The bound waves create a locally steeper wave group than that predicted by linear theory, and the resonant interactions alter the dispersive properties of the components of the wave group, resulting in considerable changes in the amplitudes and phases of the underlying free waves. Similar effects are also observed for directional sea states where the energy spreads to higher frequencies and laterally to the main direction as a result of resonant interactions [10]. A consequence of these changes is the loss of symmetry of the shape of the wave group at focus, which results in a less steep wave, with apparent subsequent issues in determining the maximum impact on the examined structure.…”
Section: Introductionsupporting
confidence: 53%
“…The bound waves create a locally steeper wave group than that predicted by linear theory, and the resonant interactions alter the dispersive properties of the components of the wave group, resulting in considerable changes in the amplitudes and phases of the underlying free waves. Similar effects are also observed for directional sea states where the energy spreads to higher frequencies and laterally to the main direction as a result of resonant interactions [10]. A consequence of these changes is the loss of symmetry of the shape of the wave group at focus, which results in a less steep wave, with apparent subsequent issues in determining the maximum impact on the examined structure.…”
Section: Introductionsupporting
confidence: 53%
“…Energy further redistributes across directions so that, near the peak, the wave spectrum narrowed during growth (e.g., Donelan et al, 1985;Fadaeiazar et al, 2020;D. E. Hasselmann et al, 1980).…”
Section: Citationmentioning
confidence: 99%
“…Moreover, field and laboratory observations have also suggested that the nonlinear interactions can induce a bimodal directional distribution in the early state of wave growth (Ewans, 1998;Toffoli et al, 2010Toffoli et al, , 2017Young et al, 1995), with the angle of separation among peaks depending on the wave age and wind direction (Long & Resio, 2007). Peaks eventually merge into a unimodal directional function consistent with cos 2s (θ) when approaching full development (e.g., Fadaeiazar et al, 2020;Toffoli et al, 2017).…”
Section: Citationmentioning
confidence: 99%
“…An intrinsic feature of oceanic sea states is the directional distribution of the spectral density function (Mitsuyasu et al, 1975;Donelan et al, 1985;Young and Verhagen, 1996;Toffoli et al, 2017;Fadaeiazar et al, 2020;Young et al, 2020), which is summarised in the form of a mean directional spreading (i.e. the circular standard deviation of the directional wave energy spectrum).…”
Section: Observed Sea States During Acementioning
confidence: 99%