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Weakly nonlinear theory for dispersive waves generated by moving seabed deformation

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posted on 2022-02-23, 12:45 authored by Simone Michele, Emiliano Renzi, AGL Borthwick, C Whittaker, AC Raby
We present a weakly nonlinear theory for the evolution of dispersive transient waves generated by moving seabed deformation. Using a perturbation expansion up to second order, we show that higher-order components affect mostly the leading wave and the region close to the deforming seabed. In particular, the leading wave in the nonlinear regime has higher crests and deeper troughs than the known linear solution, while the trough that propagates together with the moving seabed exhibits pulsating behaviour and has larger depth. We also validate the analytical model with experimental data and obtain good agreement between both approaches. Our results suggest a need to extend existing models that neglect the effects of wave dispersion and higher-order components, especially in view of practical applications in engineering and oceanography.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Journal of Fluid Mechanics

Volume

937

Publisher

Cambridge University Press (CUP)

Version

  • VoR (Version of Record)

Rights holder

© The Authors

Publisher statement

This is an Open Access Article. It is published by Cambridge University Press under the Creative Commons Attribution 4.0 International Licence (CC BY 4.0). Full details of this licence are available at: https://creativecommons.org/licenses/by/4.0/

Acceptance date

2022-01-25

Publication date

2022-02-22

Copyright date

2022

ISSN

0022-1120

eISSN

1469-7645

Language

  • en

Depositor

Dr Emiliano Renzi. Deposit date: 31 January 2022

Article number

A8

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