Palm distributions of wave characteristics in encountering seas
Artikel i vetenskaplig tidskrift, 2008

Distributions of wave characteristics of ocean waves, such as wave slope, waveheight or wavelength, are an important tool in a variety of oceanographic applications such as safety of ocean structures or in the study of ship stability, as will be the focus in this paper. We derive Palm distributions of several wave characteristics that can be related to steepness of waves 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 is also given physical interpretation in terms of a "Doppler shift" that is related to the velocity of the ship and the velocities of the individual waves.

Palm distribution

Wave velocity

Level crossings

Encountered waves

Rice's formula

Gaussian process

Författare

Sofia Åberg

Chalmers, Matematiska vetenskaper, matematisk statistik

Göteborgs universitet

Igor Rychlik

Chalmers, Matematiska vetenskaper, matematisk statistik

Göteborgs universitet

Ross Leadbetter

The University of North Carolina at Chapel Hill

The University of North Carolina System

Annals of Applied Probability

1050-5164 (ISSN)

Vol. 18 1059-1084

Ämneskategorier

Beräkningsmatematik

DOI

10.1214/07-AAP480