Direct Simulation of Moderately Rarefied Gas Flows in Two-Dimensional Model Porous Media

摘要

The applicability of a quasi-hydrodynamic system of equations to the simulation of moderately rarefied gas isothermal flows in two-dimensional domains with a complex geometry typical for pore spaces of rock samples is numerically studied. In order to take into account gas slippage effect on the solid boundaries the classical Maxwell slip boundary conditions are used, for which an approximation is proposed and the implementation algorithm is described. The simulation results are presented for several samples under different average pressure values. A qualitatively correct dependence of the Klinkenberg slip factor on the ratio of the absolute permeability coefficient to the sample porosity is revealed.