Particle Trajectories in Linearized Irrotational Shallow Water Flows

DOI

10.2991/jnmp.2008.15.s2.2How to use a DOI?

Abstract

We investigate the particle trajectories in an irrotational shallow water flow over a flat bed as periodic waves propagate on the water’s free surface. Within the linear water wave theory, we show that there are no closed orbits for the water particles beneath the irrotational shallow water waves. Depending on the strength of underlying uniform current, we obtain that some particle trajectories are undulating path to the right or to the left, some are looping curves with a drift to the right and others are parabolic curves or curves which have only one loop.

Copyright

© 2008, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Delia Ionesco-Kruse
PY  - 2008
DA  - 2008/08/01
TI  - Particle Trajectories in Linearized Irrotational Shallow Water Flows
JO  - Journal of Nonlinear Mathematical Physics
SP  - 13
EP  - 27
VL  - 15
IS  - Supplement 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2008.15.s2.2
DO  - 10.2991/jnmp.2008.15.s2.2
ID  - Ionesco-Kruse2008
ER  -