Krzysztof Podgórski
Prefekt Statistiska institutionen, Professor
How fast are the two-dimensional gaussian waves?
Författare
Summary, in English
For a stationary two-dimensional random field evolving in time, we derive the intensity distributions of appropriately defined velocities of crossing contours. The results are based on a generalization of the Rice formula. The theory can be applied to practical problems where evolving random fields are considered to be adequate models. We study dynamical aspects of deep sea waves by applying the derived results to Gaussian fields modeling irregular sea surfaces. In doing so, we obtain distributions of velocities for the sea surface as well as for the envelope field based on this surface. Examples of wave and wave group velocities are computed numerically and illustrated graphically.
Avdelning/ar
- Statistiska institutionen
- Matematisk statistik
Publiceringsår
2002
Språk
Engelska
Sidor
18-25
Publikation/Tidskrift/Serie
Proceedings of the International Offshore and Polar Engineering Conference
Volym
12
Dokumenttyp
Konferensbidrag
Förlag
International Society of Offshore and Polar Engineers
Ämne
- Probability Theory and Statistics
Nyckelord
- Level crossing contours
- Rice formulae
- Directional spectrum
- Gaussian sea
- Wave groups
Conference name
Proceedings of the Twelfth (2002) International Offshore and Polar Engineering Conference
Conference date
2002-05-26 - 2002-05-31
Conference place
Kitakyushu, Japan
Aktiv
Published
ISBN/ISSN/Övrigt
- CODEN: POPEEG