Direct numerical simulation of moderately rarefied gas flow within two-dimensional artificial porous media

Numerical study of applicability of quasi-hydrodynamic equations for simulation of isothermal moderately rarefied gas flows in two-dimensional domains with complex geometry typical for pore space of core samples was done. Classical Maxwell slip boundary conditions are used to take into account slippage effect on the solid boundaries. Its approximation is suggested and implementation algorithm is described. Simulation results for several samples under different averaged pressure are presented. The qualitatively right Klinkenberg slippage coefficient dependence on ratio of absolute permeability coefficient to sample porosity was obtained.