Lattice Boltzmann model with self-tuning equation of state for multiphase flows

TL;DR

This paper introduces a new lattice Boltzmann model for multiphase flows that incorporates a self-tuning equation of state and molecular interactions, ensuring thermodynamic consistency and independent control of surface tension and interface thickness.

Contribution

It develops a novel LB model with a self-tuning equation of state and pairwise interaction force, enhancing thermodynamic accuracy and control in multiphase flow simulations.

Findings

Pressure tensor aligns with thermodynamic theory

Surface tension and interface thickness are independently adjustable

Model accurately captures interfacial dynamics

Abstract

A novel lattice Boltzmann (LB) model for multiphase flows is developed that complies with the thermodynamic foundations of kinetic theory. By directly devising the collision term for LB equation at the discrete level, a self-tuning equation of state is achieved, which can be interpreted as the incorporation of short-range molecular interaction. A pairwise interaction force is introduced to mimic the long-range molecular interaction, which is responsible for interfacial dynamics. The derived pressure tensor is naturally consistent with thermodynamic theory, and surface tension and interface thickness can be independently prescribed.