Statistical properties of the kinematics and dynamics of a random gravity-wave field
- 29 July 1975
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 70 (2) , 251-255
- https://doi.org/10.1017/s0022112075002005
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.Keywords
This publication has 1 reference indexed in Scilit:
- On the dynamics of unsteady gravity waves of finite amplitude Part 2. Local properties of a random wave fieldJournal of Fluid Mechanics, 1961