On the Laplacian model for particle-based simulation using Moving-Particle Semi-implicit (Mps) Method

Abstract

A general form of Laplacian model is derived for the numerical framework of Moving Particle Semi-implicit (MPS) method. The existing proposals of MPS Laplacian model available in the open literature can indeed be reproduced from this general Laplacian model. Most importantly, the numerical accuracy of the evaluated Laplacian term particularly on the irregular particle layout can be further improved by adjusting the tuning parameter introduced in the general Laplacian model. © 2013 SPIE.