We employ a recently formulated axisymmetric version of the multiphase Shan-Chen (SC) lattice Boltzmann method (LBM) [Srivastava et al, in preparation (2013)] to simulate the contraction of a liquid ligament. We compare the axisymmetric LBM simulation against the slender jet (SJ) approximation model [T. Driessen and R. Jeurissen, IJCFD {\bf 25}, 333 (2011)]. We compare the retraction dynamics of the tail-end of the liquid ligament from the LBM simulation, the SJ model, Flow3D simulations and a simple model based on the force balance (FB). We find good agreement between the theoretical prediction (FB), the SJ model, and the LBM simulations.
@article{arxiv.1305.6189,
title = {Lattice Boltzmann method to study the contraction of a viscous ligament},
author = {Sudhir Srivastava and Theo Driessen and Roger Jeurissen and Herman Wijshoff and Federico Toschi},
journal= {arXiv preprint arXiv:1305.6189},
year = {2015}
}