Sofia Åberg

Palm distributions of wave characteristics in encountering seas

Abstract:

Distributions of wave characteristics of ocean waves, such as slope,
amplitude or wavelength, are an important tool in the study of ship
stability. For example are capsize events highly related to the
properties of the individual waves. In this talk a short introduction
is given to how to define and compute distributions of wave
characteristics for Gaussian seas. This includes Palm distributions,
level crossings of Gaussian processes and Rice's formula. Moreover,
distributions of several wave characteristics are presented for two
different cases, namely for waves observed along a line at a fixed
time point and for waves encountering a ship sailing on the ocean. The
relation between the distributions obtained in the two cases are also
given physical interpretation in terms of velocities of the individual
waves.