Carrier and riding wave structure of rogue waves

Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review

Authors

  • T. Schlurmann
  • M. Dätig

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Original languageGerman
Title of host publicationThe Hilbert-Huang Transform in Engineering
Pages25-57
Number of pages33
Publication statusPublished - 2005

Abstract

A new interpretation of nonlinear wind–wave systems is proposed by means of the empirical mode decomposition and Hilbert spectral analysis on rogue waves. Based on data series recorded in the central North Sea, it is shown that the inherent structure of real sea states is assembled of a finite number of carrier and riding wave components. These predominant constituents are tentatively determined through ordinary Fourier- based spectra but inevitably proven by disintegrating the recorded data series into characteristic oscillations with the empirical mode decomposition. Spectral components are not considered a random collection of free waves, each obeying the usual dispersion relation, but are effectively nondispersive bound-wave components of an ensemble of single dominant carrier waves. Relations and interactions between energy density and averaged periods of the intrinsic modes are determined and correspond to previously done investigations on white noise and length-of-day data (Huang et al., 2003). © 2005 by Taylor & Francis Group, LLC.

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Carrier and riding wave structure of rogue waves. / Schlurmann, T.; Dätig, M.
The Hilbert-Huang Transform in Engineering. 2005. p. 25-57.

Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review

Schlurmann T, Dätig M. Carrier and riding wave structure of rogue waves. In The Hilbert-Huang Transform in Engineering. 2005. p. 25-57
Schlurmann, T. ; Dätig, M. / Carrier and riding wave structure of rogue waves. The Hilbert-Huang Transform in Engineering. 2005. pp. 25-57
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Download

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AB - A new interpretation of nonlinear wind–wave systems is proposed by means of the empirical mode decomposition and Hilbert spectral analysis on rogue waves. Based on data series recorded in the central North Sea, it is shown that the inherent structure of real sea states is assembled of a finite number of carrier and riding wave components. These predominant constituents are tentatively determined through ordinary Fourier- based spectra but inevitably proven by disintegrating the recorded data series into characteristic oscillations with the empirical mode decomposition. Spectral components are not considered a random collection of free waves, each obeying the usual dispersion relation, but are effectively nondispersive bound-wave components of an ensemble of single dominant carrier waves. Relations and interactions between energy density and averaged periods of the intrinsic modes are determined and correspond to previously done investigations on white noise and length-of-day data (Huang et al., 2003). © 2005 by Taylor & Francis Group, LLC.

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KW - Time–frequency analysis techniques

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M3 - Beitrag in Buch/Sammelwerk

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