Document Type
Article
Rights
This item is available under a Creative Commons License for non-commercial use only
Disciplines
Applied mathematics, Fluids and plasma physics
Abstract
The propagation of surface water waves interacting with a current and an uneven bottom is studied. Such a situation is typical for ocean waves where the winds generate currents in the top layer of the ocean. The role of the bottom topography is taken into account since it also influences the local wave and current patterns. Specific scaling of the variables is selected which leads to approximations of Boussinesq and KdV types. The arising KdV equation with variable coefficients, dependent on the bottom topography, is studied numerically when the initial condition is in the form of the one soliton solution for the initial depth. Emergence of new solitons is observed as a result of the wave interaction with the uneven bottom.
DOI
https://doi.org/10.1016/j.dsr2.2018.11.004
Recommended Citation
Compelli, A., Ivanov, R., Martin, C. & Todorov, M. (2019). Surface waves over currents and uneven bottom, Deep-Sea Research Part II 160, pp. 25-31. DOI: 10.1016/j.dsr2.2018.11.004
Included in
Fluid Dynamics Commons, Mathematics Commons, Non-linear Dynamics Commons, Numerical Analysis and Computation Commons, Oceanography Commons, Partial Differential Equations Commons
Publication Details
Deep-Sea Research Part II 160 (2019) 25-31