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Regular version of the site

Article

The pressure field beneath intense surface water wave groups

European Journal of Mechanics - B/Fluids. 2018. Vol. 67. No. 1. P. 25-34.
Slunyaev A., Pelinovsky E.

A weakly-nonlinear potential theory is developed for the description of deep penetrating pressure
fields caused by single and colliding wave groups of collinear waves due to the second-order nonlinear
interactions. The result is applied to the representative case of groups with the sech-shape of
envelope solitons in deep water. When solitary groups experience a head-on collision, the induced due
to nonlinearity dynamic pressure may have magnitude comparable with the magnitude of the linear
solution. It attenuates with depth with characteristic length of the group, which may greatly exceed the
individual wave length. In general the picture of the dynamic pressure beneath intense wave groups looks
complicated. The qualitative difference in the structure of the induced pressure field for unidirectional and
opposite wave trains is emphasized.