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Recovery of steady rotational wave profiles from pressure measurements at the bed
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Accepted Version
Date
2023-04-24
Authors
Clamond , Didier
Labarbe, Joris , Joris
Henry , David
Journal Title
Journal ISSN
Volume Title
Publisher
Cambridge University Press
Published Version
Abstract
We derive equations relating the pressure at a flat seabed and the free-surface profile for steady gravity waves with constant vorticity. The resulting set of nonlinear equations enables the recovery of the free surface from pressure measurements at the bed. Furthermore, the flow vorticity is determined solely from the bottom pressure as part of the recovery method. This approach is applicable even in the presence of stagnation points and its efficiency is illustrated via numerical examples.
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Keywords
Physics , Fluid dynamics
Citation
Clamond, D., Labarbe, J. and Henry, D. (2023) 'Recovery of steady rotational wave profiles from pressure measurements at the bed', Journal of Fluid Mechanics, 961, R2. doi: 10.1017/jfm.2023.271