Komarova, Natalia L. and Newell, Alan C., 1941-. (2000) Nonlinear dynamics of sand banks and sand waves. Journal of Fluid Mechanics, Vol.41 . pp. 285-321. ISSN 0022-1120

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Abstract

Sand banks and sand waves are two types of sand structures that are commonly observed on an off-shore sea bed. We describe the formation of these features using the equations of the fluid motion coupled with the mass conservation law for the sediment transport. The bottom features are a result of an instability due to tide–bottom interactions. There are at least two mechanisms responsible for the growth of sand banks and sand waves. One is linear instability, and the other is nonlinear coupling between long sand banks and short sand waves. One novel feature of this work is the suggestion that the latter is more important for the generation of sand banks. We derive nonlinear amplitude equations governing the coupled dynamics of sand waves and sand banks. Based on these equations, we estimate characteristic features for sand banks and find that the estimates are consistent with measurements.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Sand bars -- Mathematical models, Sand waves -- Mathematical models, Sediment transport -- Mathematical models, Tides, Fluid mechanics
Journal or Publication Title:	Journal of Fluid Mechanics
Publisher:	Cambridge University Press
ISSN:	0022-1120
Date:	July 2000
Volume:	Vol.41
Page Range:	pp. 285-321
Identification Number:	10.1017/S0022112000008855
Status:	Peer Reviewed
Access rights to Published version:	Open Access
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URI:	http://wrap.warwick.ac.uk/id/eprint/840

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