How fast are the two-dimensional gaussian waves?

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

Abstract

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.

Details

Authors
Organisations
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Probability Theory and Statistics

Keywords

  • Level crossing contours, Rice formulae, Directional spectrum, Gaussian sea, Wave groups
Original languageEnglish
Title of host publicationProceedings of the International Offshore and Polar Engineering Conference
PublisherInternational Society of Offshore and Polar Engineers
Pages18-25
Volume12
Publication statusPublished - 2002
Publication categoryResearch
Peer-reviewedYes
EventProceedings of the Twelfth (2002) International Offshore and Polar Engineering Conference - Kitakyushu, Japan
Duration: 2002 May 262002 May 31

Publication series

Name
Volume12

Conference

ConferenceProceedings of the Twelfth (2002) International Offshore and Polar Engineering Conference
Country/TerritoryJapan
CityKitakyushu
Period2002/05/262002/05/31