Well-balanced lattice Boltzmann model for two-phase systems

The standard lattice Boltzmann equation (LBE) method usually fails to capture the physical equilibrium state of a two-phase fluid system, i.e., zero velocity and constant chemical potential. Consequently, spurious velocities inconsistent thermodynamic density properties are frequently encountered in LBE simulations. In this work, based on rigorous analysis discrete balance LBE, we identify structure force imbalance due discretization errors from different parts. Then well-balanced is proposed which can achieve state. confirmed by some numerical tests flat interface problem droplet system.