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Surface waves over currents and uneven bottom
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Accepted version
Date
2018-11-13
Authors
Compelli, Alan C.
Ivanov, Rossen I.
Martin, Calin I.
Todorov, Michail D.
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Published Version
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.
Description
Keywords
Ocean waves , Bottom topography , Surface waves , Wave interaction , Wave surface , Ocean energy , Wave energy
Citation
Compelli, A. C., Ivanov, R. I., Martin, C. I. and Todorov, M. D. (2018) 'Surface waves over currents and uneven bottom', Deep Sea Research Part II: Topical Studies in Oceanography, In Press, doi: 10.1016/j.dsr2.2018.11.004