Consistent particle-based algorithm with a non-ideal equation of state

TL;DR

This paper introduces a thermodynamically consistent particle-based fluid model that incorporates non-ideal equations of state through biased stochastic collisions, conserving momentum and energy, and explores its physical properties and phase transitions.

Contribution

The paper presents a novel particle-based fluid simulation method that accurately models non-ideal equations of state with local conservation laws and validated physical properties.

Findings

Equation of state matches independent pressure measurements

Kinematic shear viscosity and diffusion constants are quantified

High-density transition observed with caging and order/disorder phenomena

Abstract

A thermodynamically consistent particle-based model for fluid dynamics with continuous velocities and a non-ideal equation of state is presented. Excluded volume interactions are modeled by means of biased stochastic multiparticle collisions which depend on the local velocities and densities. Momentum and energy are exactly conserved locally. The equation of state is derived and compared to independent measurements of the pressure. Results for the kinematic shear viscosity and self-diffusion constants are presented. A caging and order/disorder transition is observed at high densities and large collision frequency.