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General procedure for free-surface recovery from bottom pressure measurements: application to rotational overhanging waves

Published online by Cambridge University Press:  30 November 2023

Joris Labarbe Open the ORCID record for Joris Labarbe [Opens in a new window]  and
Didier Clamond Open the ORCID record for Didier Clamond [Opens in a new window]
Joris Labarbe*
Affiliation:
Laboratoire J. A. Dieudonné, Université Côte d'Azur, CNRS UMR 7351, Parc Valrose, 06108 Nice cedex 2, France
Didier Clamond*
Affiliation:
Laboratoire J. A. Dieudonné, Université Côte d'Azur, CNRS UMR 7351, Parc Valrose, 06108 Nice cedex 2, France
*
†Email addresses for correspondence: jlabarbe@unice.fr, didierc@unice.fr
†Email addresses for correspondence: jlabarbe@unice.fr, didierc@unice.fr
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Abstract

A novel boundary integral approach for the recovery of overhanging (or not) rotational water waves (with constant vorticity) from pressure measurements at the bottom is presented. The method is based on the Cauchy integral formula and on an Eulerian–Lagrangian formalism to accommodate overturning free surfaces. This approach eliminates the need to introduce a priori a special basis of functions, thus providing a general means of fitting the pressure data and, consequently, recovering the free surface. The effectiveness and accuracy of the method are demonstrated through numerical examples.

JFM classification

Waves/Free-surface Flows: Surface gravity waves Mathematical Foundations: Computational methods Geophysical and Geological Flows: Coastal engineering
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 976 , 10 December 2023 , A20
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Copyright
© The Author(s), 2023. Published by Cambridge University Press

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