How fast are the two-dimensional gaussian waves?
Publikation/Tidskrift/Serie: Proceedings of the International Offshore and Polar Engineering Conference
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.
- Mathematics and Statistics
- Earth and Environmental Sciences
- Level crossing contours
- Rice formulae
- Directional spectrum
- Gaussian sea
- Wave groups
Proceedings of the Twelfth (2002) International Offshore and Polar Engineering Conference
- CODEN: POPEEG