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Hydro-acoustic precursors of gravity waves generated by surface pressure disturbances localised in space and time

Published online by Cambridge University Press:  31 July 2014

Emiliano Renzi*
Affiliation:
UCD School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland
F. Dias
Affiliation:
UCD School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland CMLA, Ecole Normale Supérieure de Cachan, 94235 Cachan, France
*
Email address for correspondence: emiliano.renzi@ucd.ie

Abstract

We consider the mechanics of coupled underwater-acoustic and surface-gravity waves generated by surface pressure disturbances in a slightly compressible fluid. We show that pressure changes on the ocean surface, localised in space and time, can induce appreciable underwater compression waves which are precursors of the surface gravity waves. Although the physical properties of acoustic-gravity waves have already been discussed in the literature, such dynamics was not investigated in previous studies. We derive new results for the underwater compression wave field and discuss the dynamics of its generation and propagation. This work could lead to the design of innovative alert systems for coastal flooding management.

Type
Papers
Copyright
© 2014 Cambridge University Press 

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