A lattice Boltzmann method for particle-fluid two-phase flow

A two-fluid lattice Boltzmann method (TF-LBM) is proposed for simulation of particle-fluid flows. The fluid phase is solved by using a modified LBM scheme, which combines the He-Shan-Doolen and the Cheng-Li schemes and, accordingly, restores to the fluid phase equations of the two-fluid model (TFM) by adding additional source terms. While for the sake of simplicity, the motion of particle phase is tracked by following the hard-sphere discrete particle model (DPM). Three test cases, including solid-liquid sedimentation, solo particle sedimentation in air and air-solid two-phase flow in a vertical pipe, are simulated with this new method. The results are compared with previous literature results and experimental data, showing fair agreement.