On the Budget Terms of the Double Averaged Turbulent Stress Transport Equations in Porous Media

To provide information for modeling turbulent flows in porous media, LES (large eddy simulation) of fully developed flows in porous media is performed. The numerical scheme used for the LES is the D3Q27 (three dimensional 27 discrete velocity) MRT (multiple relaxation time) LBM (lattice Boltzmann method) coupled with the WALE (wall-adapting local eddy-viscosity) sub- grid-scale turbulence model. The considered porous medium configurations are square rod arrays, cube arrays and BCC (body centered cube) foams. Using the statistical data by the LES, the behaviors of the budget terms of the double averaged turbulent stress transport equations are investigated carefully for modeling those transport equations.