Development of explicit moving particle simulation method with applications

•An explicit weakly compressible MPS method, referred to as WCMPE is developed.•WCMPE is advantageous on simple algorithm, high computational efficiency and simulation accuracy.•WCMPE combined the divergence-free condition with mixed source Poisson pressure equation (PPE) condition by half-step pressure through equation of state. Moving particle simulation (MPS) is a Lagrange meshless method capable of simulating complex fluid problems. To improve computational efficiency with a simple algorithm, explicit algorithms have been proposed such as the Weakly Compressible MPS (WCMPS) method. Although accuracy can be fulfilled in WCMPS, instability arises due to pressure fluctuations of the moving particles. In this study, an explicit Poisson Pressure Equation (PPE) was introduced to address particle instability by improving the pressure calculation, referred to as the Weakly Compressible Moving Particle Explicit (WCMPE) method. By predicting pressure through the equation of state for WCMPS, divergence-free condition is conserved without the implementation of small time-steps. Several numerical cases were investigated by the WCMPE method, including 2D jet imping on a solid plate case, oscillating drop, lid driven cavity, rolling tank experiment, sloshing tank simulation and jet impinging from the bottom of a tank. In general, smooth pressure distribution and improved particle stability were obtained with the incorporation of WCMPE.