Two dimensional wave-current-structure interaction with flat or sloping seabed environment in a linearized framework.

Abstract Two dimensional wave-current-structure interaction problems are investigated in a sea environment with a flat or sloping seabed using linear boundary conditions. This problem is separated into steady and unsteady potential components. The former accounts for the current flowing over the seabed or fixed body whereas the latter describes the wave interaction with the current through modification of the free surface boundary conditions. Both steady and unsteady problems are solved using a boundary element model incorporating a continuous Rankine source method. The developed numerical model is validated by comparison with published data, where possible, and the investigation extended to examine the hydrodynamic responses of a forced oscillating body subject to the combined interactions arising from the wave, current and seabed. Highlights This paper aims to simulate hydrodynamic responses of a forced oscillating body subject to interactions between wave, current and seabed. The highlights are as followings: • The interaction of forced oscillatory body-wave-current-seabed is investigated. • Two boundary integral equations are developed. • Boundary integral is analytically evaluated. • The relationships between wave damping and wave elevation in deep and finite water depths with current effect included and excluded are numerically and mathematically examined. [ABSTRACT FROM AUTHOR]