A Multi-Phase Compressible-Incompressible Particle Method for Water Slamming

The paper presents a novel compressible-incompressible multi-phase projection-based particle method for prediction of water slamming pressures. The considered particle method is an extended version of an enhanced multi-phase MPS method. The proposed method solves an integrated form of Poisson Pressure Equations (PPE) for the liquid phase and the gas phase. To further enhance the accuracy, a modified version of the previously developed ECS scheme is devised for the gas phase through a meticulous calculation of minimum and maximum theoretical base values for activation of the ECS scheme and thus imposing an allowable range of density variations for the compressible phase. Verifications are conducted by means of a 2D liquid impact and impacts of rigid pates on flat water surfaces.