Modelling surface waves on shear current with quadratic depth-dependence

Authors

Conor Curtin, Technological University Dublin
Rossen Ivanov, Technological University Dublin

Document Type

Article

Publication Details

https://doi.org/10.1016/j.wavemoti.2024.103343

Abstract

The currents in the ocean have a serious impact on ocean dynamics, since they affect the transport of mass and thus the distribution of salinity, nutrients and pollutants. In many physically important situations the current depends quadratic-ally on the depth. We consider a single layer of fluid and study the propagation of the surface waves in the presence of depth-dependent current with quadratic profile. We select the scale of parameters and quantities, which are typical for the Boussinesq propagation regime (long wave and small amplitude limit) and we also derive the well known KdV model for the surface waves interacting with current.

DOI

10.1016/j.wavemoti.2024.103343

Recommended Citation

Curtin, C. & Ivanov, R. (2024). Modelling surface waves on shear current with quadratic depth-dependence. Wave Motion, 129, Article 103343. https://doi.org/10.1016/j.wavemoti.2024.103343

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.