Particle Trajectories in Linearized Irrotational Shallow Water Flows
- 10.2991/jnmp.2008.15.s2.2How to use a DOI?
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.
- © 2008, the Authors. Published by Atlantis Press.
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Cite this article
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 -