Abstract:

Considering the rich capillary effects on surface waves, a system for surface capillary-gravity shortcrested waves is developed. The unique solution condition is given, and the thirdorder solution obtained, leading to expressions for a series of kinematic and dynamic variables closely related to coastal and ocean engineering. These expressions deal with surface elevation, velocity potential, angular frequency, wave steepness, phase velocity, wave-particle velocities and accelerations, and wave pressure. It is found that locations of zeros and poles of the thirdorder angular frequency directly correspond to the harmonic resonances.

Key words:  short-crested wave; capillary effect; third-order solution; harmonic resonance