Imposing Navier-slip boundary conditions on the lattice Boltzmann equation in three dimensions

Moment-based boundary conditions for the lattice Boltzmann equation are extended to Navier-slip flow in three dimensions. The slip velocity is proportional to the velocity gradient at the wall and imposed locally within the moment system. To capture gradients at edges the first order contributions to the third velocity moments are retained. The proposed methodology is validated by computing solutions to pulsatile and duct flows and second order accuracy is confirmed.