Universality of sea wave growth and its physical roots

Захаров, В. Е.; Badulin, Sergei I.; Hwang, Paul A.; Caulliez, Guillemette

doi:10.1017/jfm.2015.468

Cited by 46 publications

(44 citation statements)

References 56 publications

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“…Finally, owing to the essential role of nonlinear wave-wave interactions to continually shape and stabilize the energy containing part of the wave spectrum, the proposed model can further dwell on recently proposed universal relationships put forward by Zakharov and coauthors [Zakharov et al, 2015] to include nonstationary conditions and different wave-growth regimes. Future investigations will also be dedicated to propose a 2-D extension to the present analysis.…”

Section: Resultsmentioning

confidence: 94%

“…A breakthrough in understanding of the physics of the growth of wind-seas had been made in works by Zakharov [2005], Badulin et al [2007], Gagnaire-Renou et al [2011], andZakharov et al [2015]. This new approach is based on the asymptotic solutions of the kinetic equation:…”

Section: Resultsmentioning

confidence: 99%

“…Based on weakly turbulent scaling arguments, recent studies [Badulin et al, 2007;Gagnaire-Renou et al, 2011;Zakharov et al, 2015] also predict fetch laws in the form similar to (2). However, parameters of these Journal of Geophysical Research: Oceans 10.1002/2015JC011284 laws are not constants but shall depend on the stage of wave-development (see brief overview in Appendix A).…”

Section: The Data Listed Inmentioning

confidence: 86%

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A simplified wave enhancement criterion for moving extreme events

2015

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An analytical model is derived to efficiently describe the wave energy distribution along the main transects of a moving extreme weather event. The model essentially builds on a generalization of the self‐similar wave growth model and the assumption of a strongly dominant single spectral mode in a given quadrant of the storm. The criterion to anticipate wave enhancement with the generation of trapped abnormal waves defined as gr/ur2≈cTtrue(ur/Vtrue)1/q, with r, u, and V, radial distance, average sustained wind speed, and translation velocity, respectively. Constants q and cT follow the fetch‐law definitions. If forced during a sufficient time scale interval, also defined from this generalized self‐similar wave growth model, waves can be trapped and large amplification of the wave energy will occur in the front‐right storm quadrant. Remarkably, the group velocity and corresponding wavelength of outrunning wave systems will become wind speed independent and solely related to the translating velocity. The resulting significant wave height also only weakly depends on wind speed, and more strongly on the translation velocity. Compared to altimeter satellite measurements, the proposed analytical solutions for the wave energy distribution demonstrate convincing agreement. As analytically developed, the wave enhancement criterion can provide a rapid evaluation to document the general characteristics of each storm, especially the expected wavefield asymmetry.

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Section: Resultsmentioning

confidence: 94%

Section: Resultsmentioning

confidence: 99%

Section: The Data Listed Inmentioning

confidence: 86%

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A simplified wave enhancement criterion for moving extreme events

2015

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“…In the literature, wind-wave development under steady wind forcing follows the fetch-limited or durationlimited growth functions [e.g., Donelan et al, 1985;Young and Vledder, 1993;Young, 1998;Hwang and Wang, 2004;Hwang, 2006;Badulin et al, 2005Badulin et al, , 2007Zakharov et al, 2015]. Interestingly, waves generated by tropical cyclone wind fields also follow the same growth function expressed in terms of dimensionless Journal of Geophysical Research: Oceans 10.1002/2017JC012908 variance as a function of dimensionless frequency [e.g., Young, 1998Young, , 2006].…”

Section: Relationship Among Wind-wave Triplets In Tropical Cyclonesmentioning

confidence: 99%

Bridging the gap between cyclone wind and wave by C‐band SAR measurements

Shao

Hwang

et al. 2017

JGR Oceans

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Active microwave remote sensing of hurricane‐strength wind is a challenging task due to the saturation of col‐polarization backscattering signal under such condition. Here we take advantage of the fact that wind sea wave growth does not saturate at high wind and the intrinsic relationship among wind‐wave triplets (sea surface wind speed, significant wave height, and peak wave period) within a tropical storm to derive the wind speed. Three Sentinel‐1 (S‐1) and nine RADARSAT‐2 (R‐2) C‐band synthetic aperture radar (SAR) images acquired between 20 and 40 m/s winds are collected in this study. The S‐1 and R‐2 SAR‐derived winds are compared with those measured by coincident National Oceanic and Atmospheric Administration Stepped‐Frequency Microwave Radiometer (SFMR) and simulated by Symmetric Hurricane Estimates for Wind (SHEW) model. Validations against SFMR winds for S‐1 show Root‐Mean‐Square Error (RMSE) of 1.7 m/s with a 0.2 m/s bias at the left side of cyclone centers and RMSE of 2.9 m/s RMSE with a 0.56 bias at the backside of cyclone centers. R‐2 SAR‐derived winds against SHEW model results show a RMSE of 2.4 m/s with a 0.3 m/s bias and 2.6 m/s with a 0.35 m/s bias at the right side and the left side of cyclone centers, while the RMSE is 3.9 m/s with a 0.1 m/s bias at the backside of cyclone centers. The wave‐information‐based wind retrieval method works well at the left side and right side, but less accurately at the backside of a tropical storm when wind wave and swell are mixed.

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“…These solutions exhibit the so-called incomplete or second-type self-similarity (e.g., Barrenblatt, 1979). In terms of frequency-angle dependencies of wave action spectra, one has correspondingly for the duration-and fetch-limited cases (Badulin et al, 2005a(Badulin et al, , 2007Zakharov et al, 2015)…”

Section: Self-similar Solutions Of the Kinetic Equationmentioning

confidence: 99%

Ocean swell within the kinetic equation for water waves

Badulin

Захаров

2017

Nonlin. Processes Geophys.

Self Cite

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Abstract. Results of extensive simulations of swell evolution within the duration-limited setup for the kinetic Hasselmann equation for long durations of up to 2 × 10 6 s are presented. Basic solutions of the theory of weak turbulence, the so-called Kolmogorov-Zakharov solutions, are shown to be relevant to the results of the simulations. Features of selfsimilarity of wave spectra are detailed and their impact on methods of ocean swell monitoring is discussed. Essential drop in wave energy (wave height) due to wave-wave interactions is found at the initial stages of swell evolution (on the order of 1000 km for typical parameters of the ocean swell). At longer times, wave-wave interactions are responsible for a universal angular distribution of wave spectra in a wide range of initial conditions. Weak power-law attenuation of swell within the Hasselmann equation is not consistent with results of ocean swell tracking from satellite altimetry and SAR (synthetic aperture radar) data. At the same time, the relatively fast weakening of wave-wave interactions makes the swell evolution sensitive to other effects. In particular, as shown, coupling with locally generated wind waves can force the swell to grow in relatively light winds.

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Universality of sea wave growth and its physical roots

Cited by 46 publications

References 56 publications

A simplified wave enhancement criterion for moving extreme events

A simplified wave enhancement criterion for moving extreme events

Bridging the gap between cyclone wind and wave by C‐band SAR measurements

Ocean swell within the kinetic equation for water waves

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