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Titel |
Long-term evolution of strongly nonlinear internal solitary waves in a rotating channel |
VerfasserIn |
J. C. Sánchez-Garrido, V. Vlasenko |
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 ; 16, no. 5 ; Nr. 16, no. 5 (2009-09-25), S.587-598 |
Datensatznummer |
250013265
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Publikation (Nr.) |
copernicus.org/npg-16-587-2009.pdf |
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Zusammenfassung |
The evolution of internal solitary waves (ISWs) propagating in a rotating
channel is studied numerically in the framework of a fully-nonlinear,
nonhydrostatic numerical model. The aim of modelling efforts was the
investigation of strongly-nonlinear effects, which are beyond the
applicability of weakly nonlinear theories. Results reveal that
small-amplitude waves and sufficiently strong ISWs evolve differently under
the action of rotation. At the first stage of evolution an initially
two-dimensional ISW transforms according to the scenario described by the
rotation modified Kadomtsev-Petviashvili equation, namely, it starts to
evolve into a Kelvin wave (with exponential decay of the wave amplitude
across the channel) with front curved backwards. This transition is
accompanied by a permanent radiation of secondary Poincaré waves attached
to the leading wave. However, in a strongly-nonlinear limit not all the
energy is transmitted to secondary radiated waves. Part of it returns to the
leading wave as a result of nonlinear interactions with secondary Kelvin
waves generated in the course of time. This leads to the formation of a
slowly attenuating quasi-stationary system of leading Kelvin waves, capable
of propagating for several hundreds hours as a localized wave packet. |
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