Particle paths in small amplitude solitary waves with negative vorticity

Journal of Mathematical Analysis and Applications (Impact Factor: 1.12). 11/2011; 398(1). DOI: 10.1016/j.jmaa.2012.08.052
Source: arXiv


We investigate the particle trajectories in solitary waves with vorticity,
where the vorticity is assumed to be negative and decrease with depth. We show
that the individual particle moves in a similar way as that in the irrotational
case if the underlying laminar flow is favorable, that is, the flow is moving
in the same direction as the wave propagation throughout the fluid, and show
that if the underlying current is not favorable, some particles in a
sufficiently small solitary wave move to the opposite direction of wave
propagation along a path with a single loop or hump .

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