Assessment and Validation of No-slip Boundary Conditions for the Discrete Unified Gas Kinetic Scheme

This chapter introduces different no-slip boundary conditions, including the bounce-back (BB), non-equilibrium bounce-back (NEBB), and moment-based schemes, for the discrete unified gas kinetic scheme (DUGKS). The numerical errors of these schemes of no-slip boundary conditions are theoretically analyzed from the view of moment. And numerical performance is assessed and validated by several benchmark problems, such as the Couette flow, the Poiseuille flow, the lid-driven cavity flow, and the vortex dipole-wall collision. The results show that the present moment-based scheme is more accurate than the present BB, NEBB, and reference schemes in simulation of Poiseuille flow and dipole-wall collision, compared to the analytical solution and reference data.