A volume compensation model for multi-resolution moving particle method simulating free-surface flow

This study presents a novel volume compensation model for multi-resolution moving particle method simulating free surface flows. The volume-compensation model is developed to conserve volume when simulating free surface flow using multi-resolution particles, a topic that has been rarely discussed for multi-resolution simulations in previous literature. The free surface is reconstructed by a linear polynomial, enabling the volume of fluid occupied to be easily calculated. Then particles on the free surface are shifted according to the volume change to conserve volume. In the multi-resolution model, the particle size is capable of adapting in an adaptive manner in accordance with its position. In the refined area, the large particles split into four smaller child particles. Child particles near to the large particles are further merged into middle-size particle to avoid the instability caused by the contact of child particles and parent particles. In order to ensure the accuracy of the calculations, the LSMPS framework is employed. A series of numerical tests were conducted to validate the capability of the developed method using multi-resolution particles.