A stable moving particle semi-implicit method with renormalized Laplacian model improved for incompressible free-surface flows

Abstract

We present a stable and accurate moving particle semi-implicit (MPS) for free-surface flows. For simulating free-surface flows, previous formulations using renormalized procedure is only applicable to interior particles. Poor accuracy of the free-surface particle in turn contaminate the overall solution accuracy. In this study, dummy particle is introduced to stabilize the renormalized Laplacian model on free surface and to enforce the free-surface condition. The proposed renormalized Laplacian model enables accurate pressure calculation for both internal and free-surface particles. Modification also includes a modified gradient model in which linear consistency is guaranteed and stability is enhanced by introducing dummy particle. The proposed MPS scheme provides a more accurate and stable simulation of incompressible free surface flows. Several two-dimensional numerical simulations are presented to demonstrate the enhanced performance of the proposed MPS method.