Exact asymmetric slope distributions in stochastic Gauss–Lagrange ocean waves

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The stochastic Lagrange wave model is a realistic alternative to
the Gaussian linear wave model, which has been successfully used
in ocean engineering for more than half a century. This paper
presents exact slope distributions and other characteristic
distributions at level crossings for symmetric and asymmetric
Lagrange space and time waves. These distributions are given
as expectations in a multivariate normal distribution,
and they have to be evaluated by simulation or numerical integration.
Interesting characteristic variables are: slopes obtained by
asynchronous sampling in space or time, slopes in space or time,
and horizontal particle velocity, when waves are observed when
the water level crosses a predetermined level.
Original languageEnglish
Pages (from-to)65-73
JournalApplied Ocean Research
Issue number1
Publication statusPublished - 2009

Subject classification (UKÄ)

  • Probability Theory and Statistics


  • front-back asymmetry
  • Fourier snapshot
  • wave steepness


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