Appendix I. Notation

The following symbols are used in this paper:

$A$

= wave amplitude;

$H$

= wave height;

$h$

= water depth;

$k$

= wave number;

$k_{1/3}$

= wave number defined by significant wave period and linear dispersion relation;

$P$

= Exceedance probability;

$p$

= probability density function;

$Q$

= wave overtopping volume;

$T$

= wave period;

$z_c$

= deck level height;

$\alpha$

= coefficient of the Weibull distribution;

$\beta$

= coefficient of the Weibull distribution;

$\Gamma$

= Gamma function;

$\eta$

= water displacement;

$\eta_{rms}$

= root-mean-square value of water displacement;

$\mu_n$

= $n$th order moment of surface displacement $\eta$.

Subscripts

$rms$

= root-mean-square value

$w$

= wave height;

$Q$

= overtopping volume;

1/3

= significant wave.

Upper scripts

$R$

= Rayleigh wave condition (linear and random waves)

$\prime$

= normalized value by $\eta_{rms}$.