Wave kinematics of short-crested waves

This paper presents a fifth-order analytical solution for the three-dimensional fully reflected short-crested waves through a perturbation technique. The present solution derived for short-crested waves can be reduced to both standing waves and progressive waves (with zero and ninety degree of incident waves). Three variables for short-crested waves, the velocity potential (phi), wave frequency (omega) and wave profile (eta) are derived. Numerical results demonstrate the influences of the higher-order components on the kinematics properties of short-crested waves are greater especially in shallow water.