Weakly nonlinear theory for dispersive waves generated by moving seabed deformation

S. Michele*, E. Renzi, A.G.L. Borthwick, C. Whittaker, A.C. Raby

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)
2 Downloads (Pure)

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.

Original languageEnglish
Article numberA8
Pages (from-to)1-27
Number of pages27
JournalJournal of Fluid Mechanics
Volume937
Early online date22 Feb 2022
DOIs
Publication statusPublished - 25 Apr 2022
Externally publishedYes

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