Study on Energy Spectrum Instability in the Processes of Propagating and Breaking of Focusing Waves

Yihui, Zhang; Liang, Shuxiu; Sun, Zhixin

doi:10.1007/s13344-019-0009-5

Cited by 3 publications

(11 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These results are consistent with Tulin & Waseda (1999) and Zhang et al. (2019) and are explored in more detail in the following.…”

Section: Resultssupporting

confidence: 91%

“…(2000), Zhang & Yuan (2005) and Zhang et al. (2019). The energy dissipation and redistribution are more evident for wave groups of high values and are responsible for the downshift of the peak frequency shown in figure 6.…”

Section: Resultsmentioning

confidence: 99%

“…Inspired by Zhang et al. (2019), we define which quantifies the spectrally distributed energy change in a wave group normalised by the total wave energy of the wave group at . This is written as The subscript refers to target wave gauge number at a particular location .…”

Section: Resultsmentioning

confidence: 99%

“…2010, 2012; Callaghan, Deane & Stokes 2016; Liang et al. 2017; Zhang, Liang & Sun 2019). The surface elevation, , is calculated by linear superposition of sinusoidal frequency components, each of a different frequency and amplitude, which can be given by where , , and represent the amplitude, wavenumber, frequency and phase of each underlying component , respectively.…”

Section: Experimental Workmentioning

confidence: 99%

See 3 more Smart Citations

The influence of bandwidth on the energetics of intermediate to deep water laboratory breaking waves

Cao,

Padilla,

Callaghan

2023

J. Fluid Mech.

View full text Add to dashboard Cite

An experimental investigation of two-dimensional dispersively focused laboratory breaking waves is presented. We describe the bandwidth effect on breaking wave energetics, including spectral energy evolution, characteristic group velocity, energy dissipation and its rate, and breaking strength parameter, $b$ . To evaluate the role of bandwidth, three definitions of wave group steepness are adopted where $S_s$ and $S_n$ are bandwidth-dependent and $S_p$ remains constant when bandwidth is changed. Our data show two regimes of spectral energy evolution in breaking wave groups, with both regimes bandwidth-dependent: energy dissipation and gain occur at $f > 0.95f_p$ ( $f_p$ is the peak frequency) and $f < 0.95f_p$ , respectively. The characteristic group velocity, which is used in energy dissipation calculations, increases by up to 7 % after wave breaking, being larger for higher bandwidth breaking waves. An unambiguous bandwidth dependence is found between $S_p$ and both the fractional and absolute wave energy dissipation. Wave groups of larger bandwidth break at a lower value of $S_p$ and consequently lose relatively more energy. The energy dissipation rate depends on the breaking duration which itself is bandwidth dependent. Consequently, no clear bandwidth effect is observed in energy dissipation rate when compared with either $S_p$ or $S_s$ . However, there is a systematic bandwidth dependence in the variation of $b$ when parameterised in terms of $S_p$ , with their relationship becoming increasingly nonlinear as bandwidth increases. When parameterised with $S_s$ , $b$ shows a markedly reduced bandwidth dependence. Finally, the numerical breaking onset and relationship between $b$ and $S_s$ in the numerical study of Derakhti & Kirby (J. Fluid Mech., vol. 790, 2016, pp. 553–581) is validated experimentally.

show abstract

“…These results are consistent with Tulin & Waseda (1999) and Zhang et al. (2019) and are explored in more detail in the following.…”

Section: Resultssupporting

confidence: 91%

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Experimental Workmentioning

confidence: 99%

See 2 more Smart Citations

The influence of bandwidth on the energetics of intermediate to deep water laboratory breaking waves

Cao,

Padilla,

Callaghan

2023

J. Fluid Mech.

View full text Add to dashboard Cite

show abstract

“…Concerning experimental studies, with few exceptions, such as the works of Johannessen and Swan 20 , Liu et al 21 , McAllister et al 22 , Luxmoore et al 23 , the literature on three-dimensional focused waves is still limited and primarily numerical work was undertaken. 24–28 The experimental 3D extreme wave studies mentioned above are predominantly observed due to the presence of currents, crossing seas, and in shallow waters.…”

Section: Introductionmentioning

confidence: 99%

Experimental investigation on the characteristics of directional focusing waves

Lakshman¹,

Sriram²,

Sundar

2022

Proceedings of the Institution of Mechanical Engineers, Part M:

View full text Add to dashboard Cite

The analysis on fixed or floating structures exposed to directional extreme waves has been a topic of keen interest in ocean engineering. In this context, an attempt is made to study the characteristics of laboratory generated directional rogue waves, termed also as focusing waves. The first-order wave paddle displacements were generated using the linear superimposition principle by applying a constant steepness spectrum associated with directional components. The phase angles are set to be constant at a predefined location to create an extreme event. The experimental test cases span from narrow to broadband spectra having two central frequencies, namely, 0.68 and 0.85 Hz. The bandwidth ratios of 0.5 and 0.75 were considered with five discrete directions ranging from −25° to 25°. The tests include spilling breakers and non-breaking waves. The investigation involves studying the variations in the Atiltness parameter (ATP), Crest height ratio, and the nonlinearity parameter provided by Hastings, an index to measure the effect of nonlinearity. In addition, directional studies using the maximum likelihood method (MLM) are also presented. The critical combination of frequency spectrum and bandwidth is identified from the focusing wave characteristics and discussed in this paper for the tested conditions. The shift in directional spectrum due to nonlinearity was noticed in the present study.

show abstract

A Review on Directional Focusing Waves: Generation Methods Toward 3D Idealization of Rogue or Extreme Waves in Laboratory

Lakshman

Sriram

Sundar

2023

Lecture Notes in Civil Engineering

View full text Add to dashboard Cite

Study on Energy Spectrum Instability in the Processes of Propagating and Breaking of Focusing Waves

Cited by 3 publications

References 26 publications

The influence of bandwidth on the energetics of intermediate to deep water laboratory breaking waves

The influence of bandwidth on the energetics of intermediate to deep water laboratory breaking waves

Experimental investigation on the characteristics of directional focusing waves

A Review on Directional Focusing Waves: Generation Methods Toward 3D Idealization of Rogue or Extreme Waves in Laboratory

Contact Info

Product

Resources

About