ORCID
- Michele, Simone: 0000-0002-4082-6929
- Borthwick, Alistair: 0000-0001-6053-7764
- Raby, Alison: 0000-0002-8959-0080
Abstract
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.
DOI
10.1017/jfm.2022.94
Publication Date
2022-04-25
Publication Title
Journal of Fluid Mechanics
Volume
937
ISSN
0022-1120
Embargo Period
2022-03-12
Organisational Unit
School of Engineering, Computing and Mathematics
Recommended Citation
Michele, S., Renzi, E., Borthwick, A., Whittaker, C., & Raby, A. (2022) 'Weakly nonlinear theory for dispersive waves generated by moving seabed deformation', Journal of Fluid Mechanics, 937. Available at: https://doi.org/10.1017/jfm.2022.94
