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How fast are the two-dimensional gaussian waves?

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, Cupertino, CA 95015-0189, United States


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.



  • Probability Theory and Statistics
  • Level crossing contours
  • Rice formulae
  • Directional spectrum
  • Gaussian sea
  • Wave groups


Proceedings of the Twelfth (2002) International Offshore and Polar Engineering Conference
Kyushu, Japan

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