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.
|Title of host publication||Proceedings of the International Offshore and Polar Engineering Conference|
|Publisher||International Society of Offshore and Polar Engineers|
|Publication status||Published - 2002|
|Event||Proceedings of the Twelfth (2002) International Offshore and Polar Engineering Conference - Kitakyushu, Japan|
Duration: 2002 May 26 → 2002 May 31
|Conference||Proceedings of the Twelfth (2002) International Offshore and Polar Engineering Conference|
|Period||2002/05/26 → 2002/05/31|