Georg Lindgren, Mathematical statistics, Lund University

Stochastic Lagrange models for asymmetric water waves


The stochastic Lagrange model is a realistic alternative to the
Gaussian linear wave model. The simplest Lagrange model will 
produce random waves which are stochastically asymmetric in the 
vertical direction, i.e. wave crest height and wave trough depth 
have different statistical distributions. Sofia Åberg derived in 
her thesis explicit expressions for the distribution of slopes 
both in time and space of the water surface conditioned on 
crossings of a fixed level above or below the mean water level.

The simplest Lagrange model produces waves which are statistically
symmetric in the horizontal direction. The talk will describe how 
the model can be extended to give front-back asymmetric waves, and 
how to derive the slope distributions in time and space.

Ref
Lindgren & Åberg: First order stochastic Lagrange model for 
asymmetric ocean waves