Axisymmetric multiphase Lattice Boltzmann method for generic equations of state

TL;DR

This paper introduces an axisymmetric lattice Boltzmann model capable of simulating multiphase flows with high density ratios, validated through various benchmark tests including droplet behavior and mass conservation.

Contribution

The paper develops a novel axisymmetric lattice Boltzmann method for multiphase flows with high density ratios, extending previous models with appropriate source terms.

Findings

Accurately models liquid-gas density ratios up to 10^3

Validates the model with droplet oscillation and Young-Laplace law

Demonstrates correct mass conservation in propagating waves

Abstract

We present an axisymmetric lattice Boltzmann model based on the Kupershtokh et al. multiphase model that is capable of solving liquid-gas density ratios up to $10^3$. Appropriate source terms are added to the lattice Boltzmann evolution equation to fully recover the axisymmetric multiphase conservation equations. We validate the model by showing that a stationary droplet obeys the Young-Laplace law, comparing the second oscillation mode of a droplet with respect to an analytical solution and showing correct mass conservation of a propagating density wave.