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Statistical properties of the kinematics and dynamics of a random gravity-wave field

Published online by Cambridge University Press:  29 March 2006

C. C. Tung
C. C. Tung
Affiliation:
Department of Civil Engineering, North Carolina State University, Raleigh
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Abstract

The probability density function and the first three statistical moments of the velocity, acceleration and dynamic pressure are obtained for a Gaussian, stationary, homogeneous, random gravity-wave field in deep water, using infinitesimal wave solutions. It is shown that the velocity, acceleration and pressure are non-Gaussian. While the horizontal accelerations and vertical velocity component are of zero mean and unskewed, the dynamic pressure, vertical acceleration and horizontal velocity components are skewed and have non-zero mean.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 70 , Issue 2 , 29 July 1975 , pp. 251 - 255
Copyright
© 1975 Cambridge University Press

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References

Parzen, E. 1964 Stochastic Processes. Holden-Day.
Phillips, O. M. 1961 On the dynamics of unsteady gravity waves of finite amplitude. Part 2. J. Fluid Mech. 11, 143–155.Google Scholar