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Depth-integrated equation for hydro-acoustic waves with bottom damping

Published online by Cambridge University Press:  02 February 2015

Ali Abdolali ,
James T. Kirby  and
Giorgio Bellotti
Ali Abdolali*
Affiliation:
Center for Applied Coastal Research, Department of Civil and Environmental Engineering, University of Delaware, Newark, DE 19716, USA Department of Engineering, Roma Tre University, Via Vito Volterra 62, 00146 Rome, Italy
James T. Kirby
Affiliation:
Center for Applied Coastal Research, Department of Civil and Environmental Engineering, University of Delaware, Newark, DE 19716, USA
Giorgio Bellotti
Affiliation:
Department of Engineering, Roma Tre University, Via Vito Volterra 62, 00146 Rome, Italy
*
†Email address for correspondence: abdll@udel.edu
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Abstract

We present a depth-integrated equation for the mechanics of generation, propagation and dissipation of low-frequency hydro-acoustic waves due to sudden bottom displacement in a weakly compressible ocean overlying a weakly compressible viscous sediment layer. The model is validated against a full 3D computational model. Physical properties of these waves are studied and compared with those for waves over a rigid sea bed, revealing changes in the frequency spectrum and modal peaks. The resulting model equation can be used for numerical prediction in large-scale domains, overcoming the computational difficulties of 3D models while taking into account the role of bottom dissipation on hydro-acoustic wave generation and propagation.

JFM classification

Compressible Flows: Compressible Flows Low-Reynolds-number flows: Porous media Waves/Free-surface Flows: Surface gravity waves
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 766 , 10 March 2015 , R1
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Copyright
© 2015 Cambridge University Press 

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