| Centre for Mathematical Sciences (2009) | |||||||||||||
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| 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 _(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. Keywords: Crest distribution, non-Gaussian sea, Rice's formula, wave period and amplitude, Stokes waves. 1 Introduction An accurate description of environmental loads, such as wind and ocean waves, is important in design of offshore structures and evaluation of risks. The safety of a structure may depend on extreme and rare events such as loads which exceed the strength of a component, or on | |||||||||||||
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