Improving stability of moving particle semi-implicit method by source terms based on time-scale correction of particle-level impulses

• Unstable pressure computation investigated from a totally new viewpoint of particle-level contact/collisions. Proposition correction based on momentum conservation collisions. New stable source terms are derived for Poisson equation (PPE), mitigating oscillations in wider range time and spatial resolutions. Very simple implementation no additional computational effort, which desirable practical engineering applications. The approach can be combined with other strategies incorporate into projected-based particle methods. Extensive verifications through hydrostatic hydrodynamic benchmarks. aim this paper is to investigate the unstable nature focusing incompressible flow modeling projection-based A original regarding collisions, hereinafter refered as time-scale impulses (TCPI), proposed derive (PPE). This results more computations drastic reduction unphysical robust simulation magnitudes almost independent step. Moreover, compared strategies, effort required, its extremely simple, only numerical parameter propagation speed perturbations, calibration much straightforward due physical meaning. Simulations were carried out using moving semi-implicit (MPS) method improved by approach. comparisons computed theoretical experimental ones confirmed effectiveness