Multiphase Flow LBM Computation with Shan-Chen Model Implementation

In multiphase flow LBM computations, implementing the Shan-Chen model provides enhanced capabilities for fluid dynamics research. The key feature of this model lies in its effective description of interface dynamics through pseudo-potential interactions, making it particularly valuable for studying liquid-gas interactions. The implementation typically involves modifying the collision operator to include interaction forces between neighboring lattice nodes, where the force term F = -Gψ(x)Σw_iψ(x+e_i)e_i is computed using appropriate weight functions. Simulations using this model enable better understanding of fluid dynamics phenomena such as droplet formation and surface tension effects through density field evolution. The model's pseudopotential function ψ(ρ) can be calibrated to match realistic fluid properties. Additionally, researchers can utilize this approach to study microfluidic behaviors and other fluid dynamics problems encountered in biological and chemical applications. The code implementation generally requires careful handling of the interaction strength parameter G to ensure numerical stability and physical accuracy.