Weakly nonlinear theory for dispersive waves generated by moving seabed deformation

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 particu...

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Bibliographic Details
Published in:Journal of fluid mechanics 2022-04, Vol.937, Article A8
Main Authors: Michele, S., Renzi, E., Borthwick, A.G.L., Whittaker, C., Raby, A.C.
Format: Article
Language:English
Subjects:
Components
Deformation
Earthquakes
Fluid dynamics
Fluid mechanics
Investigations
JFM Papers
Landslides & mudslides
Mathematical models
Ocean floor
Oceanography
Perturbation
Tsunamis
Wave dispersion
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Summary: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.
ISSN:0022-1120
1469-7645
DOI:10.1017/jfm.2022.94