Conditional second-order short-crested water waves applied to extreme wave episodes

  • Jensen J
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Abstract

A derivation of the mean second-order short-crested wave pattern and
associated wave kinematics, conditional on a given magnitude of the wave
crest, is presented. The analysis is based on the second-order Sharma
and Dean finite-water wave theory. A comparison with a measured extreme
wave profile, the Draupner New Year Wave, shows a good agreement in the
mean, indicating that this second-order wave can be a good identifier of
the shape and occurrence of extreme wave events. A discussion on its use
as an initial condition for a fully nonlinear three-dimensional surface
wave analysis is given.

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