Particle Trajectories in Extreme Stokes Waves Over Inifinte Depth

Tony Lyons

doi:10.21427/xhw6-8y36

Particle Trajectories in Extreme Stokes Waves Over Inifinte Depth

Tony Lyons

Technological University Dublin

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate the velocity field of fluid particles in an extreme water wave over infinite depth. It is shown that the trajectories of the particles within the fluid and along the free surface do not form closed paths over the course of one period, but rather undergo a positive drift in the direction of wave propagation. In addition it is shown that the wave crest cannot form a stagnation point despite the velocity of the fluid being zero there.

Original language	English
Journal	Discrete and Continuous Dynamical Systems A
Volume	34
Issue number	8
DOIs	https://doi.org/10.21427/xhw6-8y36
Publication status	Published - 1 Jan 2013

Keywords

velocity field
fluid particles
extreme water wave
infinite depth
trajectories
positive drift
wave propagation
wave crest
stagnation point

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10.21427/xhw6-8y36Licence: CC BY-NC-SA

Cite this

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abstract = "We investigate the velocity field of fluid particles in an extreme water wave over infinite depth. It is shown that the trajectories of the particles within the fluid and along the free surface do not form closed paths over the course of one period, but rather undergo a positive drift in the direction of wave propagation. In addition it is shown that the wave crest cannot form a stagnation point despite the velocity of the fluid being zero there.",

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AB - We investigate the velocity field of fluid particles in an extreme water wave over infinite depth. It is shown that the trajectories of the particles within the fluid and along the free surface do not form closed paths over the course of one period, but rather undergo a positive drift in the direction of wave propagation. In addition it is shown that the wave crest cannot form a stagnation point despite the velocity of the fluid being zero there.

KW - velocity field

KW - fluid particles

KW - extreme water wave

KW - infinite depth

KW - trajectories

KW - positive drift

KW - wave propagation

KW - wave crest

KW - stagnation point

U2 - 10.21427/xhw6-8y36

DO - 10.21427/xhw6-8y36

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SN - 1553-5231

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JO - Discrete and Continuous Dynamical Systems A

JF - Discrete and Continuous Dynamical Systems A

IS - 8

ER -

Particle Trajectories in Extreme Stokes Waves Over Inifinte Depth

Abstract

Keywords

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