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A shallow-water sloshing model for wave breaking in rectangular tanks

Published online by Cambridge University Press:  02 April 2014

Matteo Antuono ,
Andrea Bardazzi ,
Claudio Lugni  and
Maurizio Brocchini
Matteo Antuono*
Affiliation:
CNR-INSEAN (Marine Technology Research Institute), via di Vallerano 139, 00128 Rome, Italy
Andrea Bardazzi
Affiliation:
CNR-INSEAN (Marine Technology Research Institute), via di Vallerano 139, 00128 Rome, Italy
Claudio Lugni
Affiliation:
CNR-INSEAN (Marine Technology Research Institute), via di Vallerano 139, 00128 Rome, Italy Centre for Autonomous Marine Operations and Systems (AMOS), Department of Marine Technology, NTNU, 7491 Trondheim, Norway
Maurizio Brocchini
Affiliation:
Dipartimento ICEA, Università Politecnica delle Marche, via Brecce Bianche 12, 60121 Ancona, Italy
*
†Email address for correspondence: [email protected]
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Abstract

We propose a simple, robust and efficient sloshing model that accounts for breaking phenomena evolving in rectangular tanks and in shallow-water conditions. The model has been obtained by applying Fourier analysis to Boussinesq-type equations and using an approximate analytic solution for the vorticity generated by wave breaking. The toe of the breaker and the intensity of the vorticity injected at the free surface are computed on the basis of literature results for coastal-type breakers. A first experimental campaign has been used to calibrate the turbulent viscosity of the sloshing model, while a second campaign has been run as final validation. The overall good agreement between the numerical outputs and the experimental data confirms the reliability and robustness of the proposed model.

JFM classification

Waves/Free-surface Flows: Surface gravity waves Waves/Free-surface Flows: Wave breaking Waves/Free-surface Flows: Waves/Free-surface Flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 746 , 10 May 2014 , pp. 437 - 465
Copyright
© 2014 Cambridge University Press 

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