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| Titel |
Self-similarity of wind-driven seas |
| VerfasserIn |
S. I. Badulin, A. N. Pushkarev, D. Resio, V. E. Zakharov |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 12, no. 6 ; Nr. 12, no. 6 (2005-11-03), S.891-945 |
| Datensatznummer |
250010896
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| Publikation (Nr.) |
 copernicus.org/npg-12-891-2005.pdf |
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| Zusammenfassung |
| The results of theoretical and numerical study of the Hasselmann
kinetic equation for deep water waves in presence of wind input
and dissipation are presented. The guideline of the study:
nonlinear transfer is the dominating mechanism of
wind-wave evolution. In other words, the most important features
of wind-driven sea could be understood in a framework of
conservative Hasselmann equation while forcing and dissipation
determine parameters of a solution of the conservative equation.
The conservative Hasselmann equation has a rich family of
self-similar solutions for duration-limited and
fetch-limited wind-wave growth. These solutions are closely
related to classic stationary and homogeneous weak-turbulent
Kolmogorov spectra and can be considered as non-stationary and
non-homogeneous generalizations of these spectra. It is shown that
experimental parameterizations of wind-wave spectra (e.g. JONSWAP
spectrum) that imply self-similarity give a solid basis for
comparison with theoretical predictions. In particular, the
self-similarity analysis predicts correctly the dependence of mean
wave energy and mean frequency on wave age Cp / U10. This
comparison is detailed in the extensive numerical study of
duration-limited growth of wind waves. The study is based on
algorithm suggested by Webb (1978) that was first realized as an
operating code by Resio and Perrie (1989, 1991). This code is now
updated: the new version is up to one order faster than the
previous one. The new stable and reliable code makes possible to
perform massive numerical simulation of the Hasselmann equation
with different models of wind input and dissipation. As a result,
a strong tendency of numerical solutions to self-similar behavior
is shown for rather wide range of wave generation and dissipation
conditions. We found very good quantitative coincidence of these
solutions with available results on duration-limited growth, as
well as with experimental parametrization of fetch-limited spectra
JONSWAP in terms of wind-wave age Cp / U10. |
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