A wall function approach in lattice Boltzmann method: algorithm and validation using turbulent channel flow

In the lattice Boltzmann method (LBM), widely utilized wall boundary is bounce-back (BB) boundary, which corresponds to no-slip boundary. The BB prevents LBM from capturing accurate shear drag on when addressing high Reynolds number flows using coarse-grid systems. this study, we proposed a "wall-function bounce (WFB)" that incorporates function into LBM's condition and overcomes limitation of BB. WFB calculates appropriate model, thereafter modifies distribution functions reflect drag. Spalding's law was as in WFB. Simulations turbulent channel flow at $Re_{\tau}$=640 2003 LBM-based large-eddy simulation (LBM-LES) were conducted validate effectiveness condition. results indicate underestimated time-averaged velocity buffer layer $Re_{\tau}$=640, averaged entire domain $Re_{\tau}$=2003, However, obtained proper thus, compensated for underestimation agreed better with experimental or DNS data, especially first-layer grid. addition, improved normal stress near-wall region some extent. distributions by analogous those model finite volume method.