P. Spanos et S. Bhattacharjee, STOCHASTIC CHARACTERIZATION OF OCEAN DEPTH AND FILTER APPROXIMATIONS FOR WAVE KINEMATICS, Applied ocean research, 16(3), 1994, pp. 177-184
A rational procedure for characterization of water depths, shallow or
deep, for a random sea state is developed, in context with linearized
wave theory. The usefulness of employing the expressions for simulatio
n of 'intermediate water depths' is pointed out. Numerical algorithms
for horizontal and vertical propagation of water kinematics are develo
ped. Several techniques, involving both digital and analog filters, ar
e used. The filter coefficients are obtained as functions of the propa
gation distance which is normalized by the local water depth. This pro
cedure is proposed as an alternative to the conventional method of wav
e kinematics simulation which involves superposition of harmonics with
random phases.