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Lattice Boltzmann method for two immiscible components

This work contains a brief review of the lattice Boltzmann method. Specifically, Shan-Chen pseudopotential approach is described in details to simulate two immiscible components and understand the deformation of a droplet in a shear velocity. We also discuss the stability of the model in terms of different parameters and effects of those parameters on deformation of the droplet. Furthermore, the main drawbacks of the model are pointed including spurious currents, break of conservativeness, and diffusive –interface. Finally, we are concerned with comparative study of our model. In this content we compare our results with the interface tracking method which is coupled to Navier-Stokes equation to simulate two phase flows. Our comparison indicates that both methods track the same interface if the critical parameters in Shan-Chen simulation selected cautiously according to the stability constraints.