Numerical simulations of the hydrodynamic responses of a body interacting with wave and current over a sloping seabed

The interaction influences of a two dimensional incident wave and current on the hydrodynamic responses of a floating or fixed body in the presence of a flat or sloping seabed are examined. A solution of this wave-current-seabed scenario is determined by considering steady, diffraction, and reflection potential problems individually and through their combinations. All these components are formulated using a boundary element model involving a continuous Rankine source method subject to appropriate boundary conditions. The validity of the mathematical model and accompanying numerical scheme of study are assessed by comparisons with available published data. Numerical results show that either an incoming waves, current or seabed plays a significant role affecting the body hydrodynamic responses for both fixed and freely floating bodies.