An Algorithm Based on Filtering of Pressure for Simulation of Low Mach Number Flow with Non-Ideal Fluid, Using LBM

In this research, a lattice Boltzmann model is proposed to simulate free convection flow through pressure filtration. High compressibility effect needs to be considered near the critical point. A Poiseuille flow has been used as the first example to examine the effects of boundary condition model used in this study. It has been shown that the encountered error is of second order, which is considered to be desirable. The effect of the present boundary condition on the stability of solution to a Rayleigh-Benard problem has also been demonstrated. Finally, the filtered pressure equations have been implemented to model flow of a supercritical fluid in a cavity. The results are in good agreements with available data in the literature.