A non‐Gaussian statistical model for surface elevation of nonlinear random wave fields

Huang, Norden E.; Long, Steven; Tung, C. C.; Yuan, Yue; Bliven, Larry F.

doi:10.1029/jc088ic12p07597

Cited by 78 publications

(34 citation statements)

References 19 publications

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“…The classical Stokes wave profile reveals the nonlinearity by its sharpened crests and rounded-off troughs. Longuet-Higgins (1963), Huang et al (1983Huang et al ( , 1984Huang et al ( , 1990a and Shen et al (1994) have modeled the asymmetric form, which gives the skewness in the water surface elevation distribution. In those attempts, harmonics were used as a mathematical tool.…”

Section: The Stokes Wavementioning

confidence: 99%

A NEW VIEW OF NONLINEAR WATER WAVES: The Hilbert Spectrum

Huang¹,

Shen²,

Long³

1999

Annu. Rev. Fluid Mech.

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1,872

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We survey the newly developed Hilbert spectral analysis method and its applications to Stokes waves, nonlinear wave evolution processes, the spectral form of the random wave field, and turbulence. Our emphasis is on the inadequacy of presently available methods in nonlinear and nonstationary data analysis. Hilbert spectral analysis is here proposed as an alternative. This new method provides not only a more precise definition of particular events in time-frequency space than wavelet analysis, but also more physically meaningful interpretations of the underlying dynamic processes.

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Section: The Stokes Wavementioning

confidence: 99%

A NEW VIEW OF NONLINEAR WATER WAVES: The Hilbert Spectrum

Huang¹,

Shen²,

Long³

1999

Annu. Rev. Fluid Mech.

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1,872

1,100

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“…For instance, the approach of papers [26] and [28] leads to the truncated Gram-Charlier series that necessarily entail negative probabilities. The method of papers [29,30] and [31] is free from this disadvantage, but it does not allow us to find the high-order CFs, nor does the method of [26] and [28]. For instance, none of the above-mentioned methods allows us to calculate the scattering cross sections even in the Kirchhoff approximation; only the simplest GO approximation can be considered.…”

Section: Conclusion Comparison With Other Methods Of Statistical Dementioning

confidence: 99%

“…In [29] the method of [9] was generalized for random Stokes waves. This work also starts from the auxiliary Gaussian field, but the field undergoes some nonlinear transforming, induced by the shape of the Stokes wave.…”

Section: Conclusion Comparison With Other Methods Of Statistical Dementioning

confidence: 99%

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Statistical Non-Gaussian Model of Sea Surface with Anisotropic Spectrum for Wave Scattering Theory. Part I

Tatarskiǐ¹,

Tatarskii²

1999

PIER

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“…The investigation of the spectral bandwidth is of some interest because it is closely related to the statistical properties of ocean waves. The dimensionless frequency bandwidth of a wave spectrum is defined (Longuet-Higgins 1952, 1980Huang et al 1983) by…”

Section: Statistical Properties and Group Structurementioning

confidence: 99%

Hilbert Spectra of Nonlinear Ocean Waves

Hwang¹,

Huang²,

Wang³

et al. 2014

Interdisciplinary Mathematical Sciences

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A non‐Gaussian statistical model for surface elevation of nonlinear random wave fields

Cited by 78 publications

References 19 publications

A NEW VIEW OF NONLINEAR WATER WAVES: The Hilbert Spectrum

A NEW VIEW OF NONLINEAR WATER WAVES: The Hilbert Spectrum

Statistical Non-Gaussian Model of Sea Surface with Anisotropic Spectrum for Wave Scattering Theory. Part I

Hilbert Spectra of Nonlinear Ocean Waves

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