A lattice Boltzmann method for axisymmetric multiphase flows is presented and validated.
The method is capable of accurately modeling flows with variable density. We develop the
classic Shan-Chen multiphase model [Phys. Rev. E 47, 1815 (1993) 1063-651X
10.1103/PhysRevE. 47.1815] for axisymmetric flows. The model can be used to efficiently
simulate single and multiphase flows. The convergence to the axisymmetric Navier-Stokes
equations is demonstrated analytically by means of a Chapmann-Enskog expansion and …

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 …