LBM-based Shan-Chen Two-Phase Flow Separation Simulation

The Lattice Boltzmann Method (LBM) Shan-Chen two-phase flow separation simulation represents a computational fluid dynamics technique designed to study interactions between two distinct fluid substances. This simulation approach employs the pseudopotential interaction model, where phase separation is achieved through defined interaction potentials between neighboring lattice nodes. Typically implemented with D2Q9/D3Q19 lattice structures, the simulation captures complex phenomena like foam formation, droplet dynamics, and bubble behavior through density distribution functions and force calculation algorithms. Key implementation features include: - Pseudopotential force computation using ψ(x) = ψ₀(1-exp(-ρ(x)/ρ₀)) for interparticle interactions - Modified equilibrium distribution functions incorporating interaction forces - Chapman-Enskog expansion validation for Navier-Stokes equation recovery The LBM simulation enables enhanced understanding and prediction of multiphase system behaviors through efficient parallelizable algorithms. Furthermore, this method finds applications in engineering design optimization, particularly in automotive components and aircraft parts development where interfacial dynamics are critical. In summary, the Shan-Chen LBM simulation serves as a robust research tool for modeling diverse fluid phenomena, providing substantial support and guidance for engineering design processes through numerically stable phase separation modeling.