Published in

Cambridge University Press, Journal of Fluid Mechanics, (714), p. 463-475

DOI: 10.1017/jfm.2012.490

Links

Tools

Export citation

Search in Google Scholar

Recovery of steady periodic wave profiles from pressure measurements at the bed.

Journal article published in 2013 by Didier Clamond, Adrian Constantin ORCID
This paper is available in a repository.
This paper is available in a repository.

Full text: Download

Green circle
Preprint: archiving allowed
Orange circle
Postprint: archiving restricted
Red circle
Published version: archiving forbidden
Data provided by SHERPA/RoMEO

Abstract

AbstractWe derive an equation relating the pressure at the flat bed and the profile of an irrotational steady water wave, valid for all classical solutions of the governing equations for water waves. This permits the recovery of the surface wave from pressure measurements at the bed. Although we focus on periodic waves, the extension to solitary waves is straightforward. We illustrate the usefulness of the equation beyond the realm of linear theory by investigating the regime of shallow-water waves of small amplitude and by presenting a numerical example.