Simulation of water entry of a two-dimension finite wedge with flow detachment

A two-dimensional finite wedge entering water obliquely at a prescribed speed is considered through the velocity potential theory for the incompressible liquid. The gravity is also included. The problem is solved by using the boundary element method in the time domain. The method of the stretched coordinate system is adopted at the initial stage. A condition is imposed at the intersection of the free surface and the body surface after flow detachment to allow the liquid to leave the body surface smoothly. A new methodology is developed to treat free jet with free surface on both sides. The auxiliary function method is used to calculate the pressure on the body surface. Detailed results for the free surface shape and pressure distribution are provided, and the effect of physical parameters on water entry is discussed.