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Titel |
The transformation of an interfacial solitary wave of elevation at a bottom step |
VerfasserIn |
V. Maderich, T. Talipova, R. Grimshaw, E. Pelinovsky, B. H. Choi, I. Brovchenko, K. Terletska, D. C. Kim |
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. 1 ; Nr. 16, no. 1 (2009-02-05), S.33-42 |
Datensatznummer |
250013085
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Publikation (Nr.) |
copernicus.org/npg-16-33-2009.pdf |
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Zusammenfassung |
In this paper we study the transformation of an internal solitary wave at a
bottom step in the framework of two-layer flow, for the case when the
interface lies close to the bottom, and so the solitary waves are elevation
waves. The outcome is the formation of solitary waves and dispersive wave
trains in both the reflected and transmitted fields. We use a
two-pronged approach, based on numerical simulations of the fully nonlinear
equations using a version of the Princeton Ocean Model on the one hand, and
a theoretical and numerical study of the Gardner equation on the other hand. In the numerical
experiments, the ratio of the initial wave amplitude to the layer thickness
is varied up one-half, and nonlinear effects are then essential. In general,
the characteristics of the generated solitary waves obtained in the fully
nonlinear simulations are in reasonable agreement with the predictions of
our theoretical model, which is based on matching linear shallow-water
theory in the vicinity of a step with solutions of the Gardner
equation for waves far from the step. |
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