Kinetic diffuse boundary condition for high-order lattice Boltzmann model with streaming-collision mechanism

The implementation of the kinetic diffuse boundary condition with the characteristic streaming-collision mechanism is studied for the high-order lattice Boltzmann (LB) models. The obtained formulation is also tested and validated numerically for three high-order LB models for both isothermal and thermal Couette flows. The streaming-collision mechanism ensures that high-order LB models can retain particle feature while go beyond the Navier-Stokes hydrodynamics.