  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.
