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New exact relations for easy recovery of steady wave profiles from bottom pressure measurements

Published online by Cambridge University Press:  11 June 2013

Didier Clamond
Didier Clamond*
Affiliation:
Laboratoire J. A. Dieudonné, Université de Nice – Sophia Antipolis, Parc Valrose, 06108 Nice CEDEX 2, France
*
†Email address for correspondence: [email protected]
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Abstract

This paper is about the determination of a free surface wave profile from a given pressure distribution at the bottom. For a two-dimensional irrotational steady surface water wave propagating over a flat horizontal bed, this problem is solved analytically in an implicit form. Explicit solutions can be easily obtained numerically via fixed point iterations, whose convergence is outlined mathematically and numerically. This new surface reconstruction procedure does not involve the resolution of a differential or an integral equation, i.e. the surface is given by algebraic local relations. Thus, this formulation permits the free surface recovery in a simpler and more efficient way than previous methods.

JFM classification

Waves/Free-surface Flows: Surface gravity waves Waves/Free-surface Flows: Waves/Free-surface Flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 726 , 10 July 2013 , pp. 547 - 558
Copyright
©2013 Cambridge University Press 

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