Cratering of a solid body due to liquid impact

An impact between a high-speed liquid and a solid body leading to cratering during the impact is considered. The problem formulation is presented within the framework of a self-similar velocity potential flow for a liquid wedge impacting the solid wall. A linear constitutive relation is adopted, which links the speed of cratering with the pressure and shear stresses. The solution procedure is based on the integral hodograph method. It converts the boundary-value problem for the complex potential in the fluid domain into a system of integral equations which are solved using the method of successive approximations. The obtained solution is used to investigate the cratering mechanics during the impact. The results are presented in terms of the interface shape, the free surface shape, streamline patterns and pressure distribution along the interface.