Numerical investigation of water entry of a wedge into waves with current effects using a fully nonlinear HOBEM

This paper concerns the hydrodynamic performance of a two-dimensional asymmetric wedge entering waves obliquely with gravity effect in the presence of a uniform current. A time-domain higher-order boundary element method (HOBEM) based on potential theory with fully nonlinear boundary conditions is developed to solve this problem. A stretched coordinate system is adopted in the spatial domain to avoid a large number of elements discretized in fixed computational domain at the initial stage. During mesh regriding and interpolation, a rotation scheme of the stretched coordinate system is employed to meet the requirement of continuity of flux at the intersection points. An auxiliary function is introduced to calculate pressure distribution on body surface. The present model is validated against the published numerical results for vertical wave entry in the absence of currents. Numerical calculations are conducted to analyze the dependence of the free surface elevation and the pressure distribution on the physical parameters, such as current velocity, incident wave amplitude, entry location, heel angle and oblique motion. It is found that the variation of current velocity has obvious effect on both the horizontal velocity of fluid and the wave steepness, which play a major role on free surface and pressure.