This paper concerns the hydrodynamics induced by random waves incident
on a steep beach. New experimental results are presented on surface e
levation and kinematic probability density functions, cross-shore vari
ation in wave heights, the fraction of broken waves and velocity momen
ts. The surf zone is found to be unsaturated at incident wave frequenc
ies, with a significant proportion of the incident wave energy remaini
ng at the shoreline in the form of bores. Wave heights in both the out
er and inner surf zones are best described by a full Rayleigh distribu
tion [Thornton, E.B., Guza, R.T., 1983. Transformation of wave height
distribution. J. Geophys. Res. 88, 5925-5938], rather than a truncated
Rayleigh distribution as used by Battjes and Janssen (1978) [Battjes,
J.A, Janssen, J.P., 1978. Energy loss and setup due to breaking of ra
ndom waves. Proc. 16th Int. Conf. Coastal Eng. ASCE, New York, pp. 569
-588]. A new parametric wave transformation model is outlined which pr
ovides explicit expressions for the fraction of broken waves and the e
nergy dissipation rate within the surf zone. On steep beaches, the mod
el appears to offer improved predictive capabilities over the original
Battjes and Janssen model. Cross-shore variations in the velocity var
iance and velocity moments are best described using Linear Gaussian wa
ve theory, with less than 20% of the velocity variance in the inner su
rf zone due to low frequency energy. (C) 1998 Elsevier Science B.V. Al
l rights reserved.