Mass transport for Pollard waves

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44001
Authors
Kluczek, Mateusz
Stuhlmeier, Raphael
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Publisher
Taylor & Francis Group
Published Version
10.1080/00036811.2020.1766029
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Abstract
We provide an in-depth exploration of the mass-transport properties of Pollard's exact solution for a zonally propagating surface water-wave in infinite depth. Without resorting to approximations we discuss the Eulerian mass transport of this fully nonlinear, Lagrangian solution. We show that it has many commonalities with the linear, Eulerian wave-theory, and also find Pollard-like solutions in the first and second order Lagrangian theory.
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Keywords
Geophysical waves , Linear waves , Particle trajectory , Mean velocity , Mass transport , Exact and explicit solution , Deep-water waves , Waves in rotating fluid
Citation
Kluczek, M. and Stuhlmeier, R. (2020) 'Mass transport for Pollard waves', Applicable Analysis. doi: 10.1080/00036811.2020.1766029
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https://hdl.handle.net/10468/10347
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Mathematical Sciences- Journal Articles
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© 2020, Informa UK Limited, trading as Taylor & Francis Group. All rights reserved. This is an Accepted Manuscript of an item published by Taylor & Francis in Applicable Analysis on 19 June 2020, available online: https://doi.org/10.1080/00036811.2020.1766029. It is deposited under the terms of the Creative Commons Attribution-NonCommercial License (https://creativecommons.org/licenses/by-nc/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited.