The interaction between high order water waves with a uniform current normal to the wave crests is considered. The combined wave-current motion resulting from the interaction is assumed stable and irrotational. The velocity potential, dispersion relation, the particle kinematics and pressure distribution up to the third order are developed. The conservation of mean mass, momentum and energy, together with the dispersion relation on the free surface are used to derive a set of four nonlinear equations, through which the relationship between wave-free current, current-free wave and the combined wave current parameters is established. Numerical results for a range of current values are also presented.
High Order Wave and Current Interactions
Baddour , R., and S. Song. "High Order Wave and Current Interactions." Paper presented at the SNAME 22nd American Towing Tank Conference, St. John's, Newfoundland, Canada, August 1989. doi: https://doi.org/10.5957/ATTC-1989-034
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