Wave statistics in nonlinear random sea
Ulla Botelho Machado and Igor Rychlik
Centre for Mathematical Sciences
Mathematical Statistics
Lund Institute of Technology,
Lund University,
2002
ISSN 14039338

Abstract:

The sea elevation at a fixed point is modelled as a quadratic form of a vector
valued Gaussian process with arbitrary mean. An apparent wave is a part of
the sea record observed between two following upcrossings of the still water
level. Saddlepoint method is used to approximate the intensity µ
(u), say, the sea level crosses the level u. The intensity is
then used to estimate more complicated wave characteristics like wave period
and crest height. Numerical examples are given.




Key words:

Crest distribution, nonGaussian sea, Rice's formula, wave period and amplitude,
Stokes waves
