| This work thoroughly analyzes one of the most popular multiphase models, the Shan-Chen model, for the lattice Boltzmann equation. The advantages and disadvantages are presented. This work extends the applicability of the Shan-Chen model to simulate different phenomena and presents alternatives to some of disadvantages. The model's stability limit is improved by applying the Multiple-Relaxation Time (MRT) collision operator. The surface tension effect is decoupled from the equation of state with the help of the multirange potential. A few schemes for the multirange potential are presented, which perform better with the rotational isotropy. Thus, the spurious current effects are decreased, which improves the stability. The generalized Shan-Chen model allows one to incorporate anisotropic phenomena with different momentum flux pressures. The model is able to simulate the ferro-fluidics. Finally, the work is concluded with suggestions as to how to use the Shan-Chen model. |
