Complex Variable Boundary Element Method for Numerically Simulating Water Entry of a Wedge

To study the slamming problem of a wedge entering into water with constant speed, a complex variable boundary element method (CVBEM) based on the Cauchy integration equation is used in the numerical simulation, and the nonlinear free surface boundary conditions iteration with the shallow water approximation is also used to simulate the jet. The cubic spline interpolation is adopted to mesh the free surface. The size selections of the mesh and the control body as well as other relative numerical techniques are discussed. Consequently, the pressure distribution on wedge surface, the raise of free liquid surface and the jet pattern under different deadrise angle of sedge are achieved when it entering into water. The results show that when deadrise angle is small, the pressure on wedge surface is great, the jet is very thin and long without shake and burr, and the pressure distribution on jet approaches to zero, which indicates a perfect simulation of jet with the proposed method.