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Palm distributions of wave characteristics in encountering seas

Sofia Åberg (Institutionen för matematiska vetenskaper, matematisk statistik) ; Igor Rychlik (Institutionen för matematiska vetenskaper, matematisk statistik) ; Ross Leadbetter
The Annals of Applied Probability (1050-5164). Vol. 18 (2008), 3, p. 1059-1084.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: Encountered waves; Gaussian process; Level crossings; Palm distribution; Rice's formula; Wave velocity



Denna post skapades 2008-12-05. Senast ändrad 2016-07-25.
CPL Pubid: 79744

 

Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematisk statistik (2005-2016)

Ämnesområden

Tillämpad matematik

Chalmers infrastruktur