Oblique water entry of a curved foil with varying speed

Abstract

The hydrodynamic problem of a curved foil entering into water obliquely with varying speed is investigated through the boundary element method in time domain, and fully nonlinear boundary conditions on the deforming free surface are adopted. The process of foil entry begins with a single point at the lower edge; posing numerical challenges due to the extremely small wetted area, we utilize the stretched co-ordinate system method to address this. An auxiliary method is adopted to solve for pressure distribution. The whole process of the attached flow forming along the curved body and then detaching from the top edge is considered. We engage in extensive discussions on the effects of curvature, gravity, and acceleration, exploring their physical significance and potential applications, particularly within the context of surface-piercing propellers.