# Ligament break-up simulation through pseudo-potential Lattice Boltzmann Method

## TL;DR

This paper presents a numerical study of ligament breakup due to Plateau-Rayleigh instability using a pseudo-potential lattice Boltzmann method, highlighting its potential for engineering jet hydrodynamics applications.

## Contribution

It introduces a systematic analysis of ligament fragmentation using SRT pseudo-potential LBM, demonstrating convergence and applicability to engineering problems.

## Key findings

- Simulations show asymptotic behavior consistent with sharp interface hydrodynamics.
- Grid convergence achieved with interface thickness smaller than ligament size.
- Method effectively models ligament breakup phenomena.

## Abstract

The Plateau-Rayleigh instability causes the fragmentation of a liquid ligament into smaller droplets. In this study a numerical study of this phenomenon based on a single relaxation time (SRT) pseudo-potential lattice Boltzmann method (LBM) is proposed. If systematically analysed, this test case allows to design appropriate parameters sets to deal with engineering applications involving the hydrodynamics of a jet. Grid convergence simulations are performed in the limit where the interface thickness is asymptotically smaller than the characteristic size of the ligament. These simulations show a neat asymptotic behaviour, possibly related to the convergence of LBM diffuse-interface physics to sharp interface hydrodynamics.