A novel solution for fluid flow problems based on the lattice Boltzmann method

Recently, phase separation and fluid flow problems have represented an important development in fluid dynamics, which has many important industrial applications. Lattice Boltzmann method (LBM) is the numerical method that explains the behaviour of fluid dynamics in mesoscopic scale single-component single-phase and multi-component multiphase flows. In this paper, we study the lattice Boltzmann models (LBMs) in two dimensions (2D) with nine directions (Q9), that is the D2Q9 model was used to study the phase separation and observe that the phenomenon of fluid flow in a cylinder has obstacle and square cavity. The simulation results show that fluid flows in the square cavity and in the cylinder, present phase separation of single-component multiphase fluid flow.