A Particulate Basis for an Immiscible Lattice-Gas Model

TL;DR

This paper derives a particle interaction basis for the Rothman-Keller lattice-gas model of two-phase flow, clarifying its hydrodynamic limit and providing a deeper theoretical understanding of this widely used simulation method.

Contribution

It introduces a particle interaction framework for the Rothman-Keller model, linking it to fundamental particle dynamics and clarifying its hydrodynamic behavior.

Findings

Derived the particle interaction basis for the model

Elucidated the hydrodynamic limit of the model

Connected phenomenological model to underlying particle interactions

Abstract

We show that a phenomenological hydrodynamic lattice-gas model of two-phase flow, developed by Rothman and Keller in 1988 and used extensively for numerical simulations since then, can be derived from an underlying model of particle interactions. From this result, we elucidate the nature of the hydrodynamic limit of the Rothman-Keller model.