Experiments on Nonlinear Wave Groups in Intermediate Water Depth

Shemer, Lev; Kit, E.; Jiao, Haiying; Eitan, Ofri

doi:10.1061/(asce)0733-950x(1998)124:6(320)

Cited by 58 publications

(47 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The maximum surface elevation within the group may exceed significantly the nominal value of a 0 . This increase of the maximum amplitude is associated in part with the focusing properties of the nonlinear Schrödinger equation that affects the shape of the group envelope, as discussed in Shemer et al (1998). The NLS equation, however, is only capable of reflecting correctly some limited features of the solution, and the extension to the MNLS equation is required to get both qualitative and quantitative agreement between experiments and computations, see Shemer et al (2002).…”

Section: Experimental and Numerical Resultsmentioning

confidence: 99%

“…In the study of Lake et al (1977) an agreement was obtained between the experimentally found growth rates of the unstable sidebands and the theoretical predictions based on the NLS equations. Shemer et al (1998) performed quantitative comparison of the numerical simulations based on the NLS equation with experiments in a laboratory wave flume. They demonstrated that while the NLS equation is adequate for qualitative description of the global properties of the envelope evolution of unidirectional nonlinear wave groups, such as focusing observed for water waves in sufficiently deep water, it is incapable of capturing more subtle features, for example the emerging front-tail asymmetry observed in experiments.…”

Section: The Zakharov Integral Equationmentioning

confidence: 99%

See 1 more Smart Citation

Experimental and numerical study of spatial and temporal evolution of nonlinear wave groups

Shemer

Dorfman

2008

Nonlin. Processes Geophys.

Self Cite

View full text Add to dashboard Cite

Abstract. The evolution along the tank of unidirectional nonlinear wave groups with narrow spectrum is studied both experimentally and numerically. Measurements of the instantaneous surface elevation within the tank are carried out using digital processing of video-recorded sequences of images of the contact line movement at the tank side wall. The accuracy of the video-derived results is verified by measurements performed by conventional resistance-type wave gauges. An experimental procedure is developed that enables processing of large volumes of video images and thus allows capturing the spatial structure of the instantaneous wave field along the whole tank. The experimentally obtained data are compared quantitatively with the solutions of the Modified Nonlinear Schrödinger (MNLS, or Dysthe) equation written in either temporal or spatial form. The adopted approach allows studying evolution along the tank of wave frequency spectra, as well as the temporal variation of the wave number spectra. It is demonstrated that accounting for the 2nd order bound (locked) waves is essential for getting a qualitative and quantitative agreement between the measured and the computed spectra. The relation between the frequency and the wave number spectra is discussed.

show abstract

Section: Experimental and Numerical Resultsmentioning

confidence: 99%

Section: The Zakharov Integral Equationmentioning

confidence: 99%

Experimental and numerical study of spatial and temporal evolution of nonlinear wave groups

Shemer

Dorfman

2008

Nonlin. Processes Geophys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…For instance, the nonlinear Schrödinger equation (and the Davey-Stewartson system) is symmetrical with respect to the coordinates and this leads to symmetrical waveforms in the evolution process (if it was initially symmetrical). Laboratory experiments show the asymmetry of the wave envelope for large amplitudes; see, for instance, Shemer et al (1998). Weakly nonlinear models predict also incorrect values for the BF instability for short-scale modulation with regard to fully nonlinear computations given by Longuet-Higgins (see Dysthe, 1979 Lo & Mei (1985) and Kit & Shemer (2002).…”

Section: Extended Nonlinear Models Of Extreme Wave Packetsmentioning

confidence: 99%

Physical mechanisms of the rogue wave phenomenon

Kharif

Pelinovsky

2003

European Journal of Mechanics - B/Fluids

1,013

764

View full text Add to dashboard Cite

Abstract:A review of physical mechanisms of the rogue wave phenomenon is given. The data of marine observations as well as laboratory experiments are briefly discussed. They demonstrate that freak waves may appear in deep and shallow waters. Simple statistical analysis of the rogue wave probability based on the assumption of a Gaussian wave field is reproduced. In the context of water wave theories the probabilistic approach shows that numerical simulations of freak waves should be made for very long times on large spatial domains and large number of realizations. As linear models of freak waves the following mechanisms are considered: dispersion enhancement of transient wave groups, geometrical focusing in basins of variable depth, and wave-current interaction. Taking into account nonlinearity of the water waves, these mechanisms remain valid but should be modified. Also, the influence of the nonlinear modulational instability (BenjaminFeir instability) on the rogue wave occurence is discussed. Specific numerical simulations were performed in the framework of classical nonlinear evolution equations: the nonlinear Schrödinger equation, the Davey -Stewartson system, the Korteweg -de Vries equation, the Kadomtsev -Petviashvili equation, the Zakharov equation, and the fully nonlinear potential equations. Their results show the main features of the physical mechanisms of rogue wave phenomenon.

show abstract

“…1. In such case the modulational instability disappears and Stokes waves are stable to perturbations (Shemer et al, 1998;Onorato et al, 2001). Considering that time series are normally measured in the laboratory experiments, the term K/k 0 in the BFI is replaced by 2 ω/ω 0 for infinite water depth.…”

Section: Theorymentioning

confidence: 99%

Modeling extreme wave heights from laboratory experiments with the nonlinear Schrödinger equation

Zhang¹,

Soares²,

Cherneva³

et al. 2014

Nat. Hazards Earth Syst. Sci.

View full text Add to dashboard Cite

Abstract. Spatial variation of nonlinear wave groups with different initial envelope shapes is theoretically studied first, confirming that the simplest nonlinear theoretical model is capable of describing the evolution of propagating wave packets in deep water. Moreover, three groups of laboratory experiments run in the wave basin of CEHIPAR (Canal de Experiencias Hidrodinámicas de El Pardo, known also as El Pardo Model Basin) was founded in 1928 by the Spanish Navy. are systematically compared with the numerical simulations of the nonlinear Schrödinger equation. Although a little overestimation is detected, especially in the set of experiments characterized by higher initial wave steepness, the numerical simulation still displays a high degree of agreement with the laboratory experiments. Therefore, the nonlinear Schrödinger equation catches the essential characteristics of the extreme waves and provides an important physical insight into their generation. The modulation instability, resulting from the quasi-resonant four-wave interaction in a unidirectional sea state, can be indicated by the coefficient of kurtosis, which shows an appreciable correlation with the extreme wave height and hence is used in the modified Edgeworth-Rayleigh distribution. Finally, some statistical properties on the maximum wave heights in different sea states have been related with the initial Benjamin-Feir index.

show abstract

Experiments on Nonlinear Wave Groups in Intermediate Water Depth

Cited by 58 publications

References 13 publications

Experimental and numerical study of spatial and temporal evolution of nonlinear wave groups

Experimental and numerical study of spatial and temporal evolution of nonlinear wave groups

Physical mechanisms of the rogue wave phenomenon

Modeling extreme wave heights from laboratory experiments with the nonlinear Schrödinger equation

Contact Info

Product

Resources

About