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How fast are the two-dimensional gaussian waves?

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Author

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.

Publishing year

2002

Language

English

Pages

18-25

Publication/Series

Proceedings of the International Offshore and Polar Engineering Conference

Volume

12

Document type

Conference paper

Publisher

International Society of Offshore and Polar Engineers

Topic

  • Probability Theory and Statistics

Keywords

  • 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

Status

Published

ISBN/ISSN/Other

  • CODEN: POPEEG