Applications of reconstruction operators for lattice Boltzmann method distribution functions

Two analytic expressions have been proposed to solve the key difficulty of coupling LBM with other methods. These are called density distribution reconstruction operator and temperature distribution reconstruction operator. The mesoscopic LBM is coupled upward with macroscopic FVM and downward with microscopic MD. FVM-LBM coupled model is validated by 2D natural convection in a square cavity. LBM-MD coupled model is applied to simulate Poiseuille flows. The results are in good agreement with benchmark results, which verifies the validation of the coupled models based on the reconstruction operators.