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.