Trajectories of fluid particles in a periodic water wave

Trajectories of fluid particles in a periodic water wave

We compute trajectories of fluid particles in a water wave that propagates with a constant shape at a constant speed. The Stokes drift, which asserts that fluid particles are pushed forward by a wave, is proved using a new method. Numerical examples with various gravity and surface tension coefficie...

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Veröffentlicht in:Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences physical, and engineering sciences, 2012-04, Vol.370 (1964), p.1661-1676
Hauptverfasser: Okamoto, Hisashi, Sh ji, Mayumi
Format: Artikel
Sprache:eng
Schlagworte:
Amplitude
Coordinate systems
Gravity waves
Mathematical constants
Mathematics
Nonlinear Analysis
Partial Differential Equations
Particle trajectories
Rotation
Trajectories
Water Wave
Water waves
Waves
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Beschreibung
Zusammenfassung:We compute trajectories of fluid particles in a water wave that propagates with a constant shape at a constant speed. The Stokes drift, which asserts that fluid particles are pushed forward by a wave, is proved using a new method. Numerical examples with various gravity and surface tension coefficients are presented.
ISSN:1364-503X
1471-2962
DOI:10.1098/rsta.2011.0447