Study on Force Schemes in Pseudopotential Lattice Boltzmann Model for Two-Phase Flows

Abstract

Multiphase flows are very important in industrial application. In present study, the force schemes in the pseudopotential LBM for two-phase flows have been compared in detail and the force schemes include Shan-Chen, EDM, MED, and Guo’s schemes. Numerical simulations confirm that all four schemes are consistent with the Laplace law. For Shan-Chen scheme, the smaller τ is, the smaller the surface tension is. However, for other schemes, τ has no effect on surface tension. When 0.6<τ≤1, the achieved density ratio will reduce as τ reduces. During this range of τ, the maximum density ratio of EDM scheme will be greater than that of other schemes. For a constant T, the curves of the maximum spurious currents (u′) has a minimum value which is corresponding to τ′ except for EDM schemes. In the region of τ′<τ≤1, u′ will reduce as τ decreases. On the other hand, in the area of τ≤τ′, u′ will increase as τ decreases. However, for EDM scheme, u′ will increase as τ increases.