Addendum to "On the consistency of MPS"

TL;DR

This paper explores the relationship between MPS and ISPH methods, extending previous consistency analyses to better understand their similarities and differences in simulating incompressible flows.

Contribution

It establishes analogies between MPS and ISPH, extending prior consistency analysis to deepen understanding of their theoretical connections.

Findings

Analogies between MPS and ISPH are formally established.

The extension of consistency analysis clarifies the theoretical relationship.

Provides insights for improving particle-based fluid simulation methods.

Abstract

The analogies between the Moving Particle Semi-implicit method (MPS) and Incompressible Smoothed Particle Hydrodynamics method (ISPH) are established in this note, as an extension of the MPS consistency analysis conducted in "Souto-Iglesias et al., Computer Physics Communications, 184(3), 2013."