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Titel |
Long waves over a bi-viscous seabed: transverse patterns |
VerfasserIn |
J. M. Becker, D. Bercovici |
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 ; 9, no. 1 ; Nr. 9, no. 1, S.61-68 |
Datensatznummer |
250006600
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Publikation (Nr.) |
copernicus.org/npg-9-61-2002.pdf |
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Zusammenfassung |
The coupled
interaction of long standing hydrodynamic waves with a deformable
non-Newtonian seabed is examined using a two-layer model for which the
upper layer fluid is inviscid and the lower layer is bi-viscous. The
two-dimensional response of the system to forcing by a predominantly
longitudinal (cross-shore) standing wave perturbed by a small transverse
(along-shore) component is determined. With a constant yield stress in the
bi-viscous lower layer, there is little amplification of these transverse
per-turbations and the model response typically remains
quasi-one-dimensional. However, for a bi-viscous layer with a
pressure-dependent yield stress (which represents the effect that the
seabed deforms less readily under compression and hence renders the
rheology history dependent), the initially small transverse motions are
amplified in some parameter regimes and two-dimensional, permanent
bedforms are formed in the lower layer. This simple dynamical model is,
therefore, able to explain the formation of permanent bedforms with
significant cross- and along-shore features by predominantly cross-shore
standing wave forcing. |
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