Multi-resolution MPS Method

Abstract

Multi-resolution MPS method is proposed in this paper. In order to consider difference of particle sizes, the weight function is calculated using not only distance but also particle sizes, and the incompressible condition is changed from the condition that the particle number density should be constant to the condition that the divergence of velocity field should be zero. Even though the particle sizes vary greatly, the dam break can be simulated very stably. The spatial resolution can be changed to split big particles and merge small particles. The simulation is as accurate as the traditional MPS method and the calculation cost is reduced greatly.