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Joint statistical distribution of two-point sea surface elevations in finite water depth
Song, J.-B.; Wei, E.; Hou, Y.-J. (2004). Joint statistical distribution of two-point sea surface elevations in finite water depth. : 169-179

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Keyword
    Marine

Authors  Top 
  • Song, J.-B.
  • Wei, E.
  • Hou, Y.-J.

Abstract
    Based on the second-order random wave solutions of water wave equations in finite water depth, a joint statisticaldistribution of two-point sea surface elevations is derived by using the characteristic function expansion method. It is found thatthe joint distribution depends on five parameters. These five parameters can all be determined by the water depth, the relativeposition of two points and the wave-number spectrum of ocean waves. As an illustrative example, for fully developed windgeneratedsea, the parameters that appeared in the joint distribution are calculated for various wind speeds, water depths andrelative positions of two points by using the Donelan and Pierson spectrum and the nonlinear effects of sea waves on the jointdistribution are studied.

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