Curved boundary conditions of the lattice Boltzmann method for simulating microgaseous flows in the slip flow regime

The lattice Boltzmann method (LBM) has shown its promising capability in simulating microscale gas flows the slip regime. However, suitable boundary condition is still one of critical issues for LBM to model microgaseous involving curved geometries. In this paper, a local proposed treat solid walls flow developed treatment combines Maxwellian diffuse reflection scheme (Ansumali and Karlin, 2002) single-node (Zhao et al., 2019) which contains free parameter as well distance ratio. analyzed within multiple-relaxation-time (MRT) unidirectional microflow. It that derived velocity depends on ratio relaxation times. By virtue parameter, combination uniform time are theoretically determined realize accurate condition. addition, it found besides halfway diffuse-bounce-back (DBB) scheme, previous schemes only containing cannot ensure times Some numerical examples with planar boundaries carried out validate present scheme. good robust consistency predictions analytical solutions demonstrates our theoretical analysis.