On the Multiple-Relaxation-Time Micro-Flow Lattice Boltzmann Method for Complex Flows
Kazuhiko Suga1,2, Takahiko Ito1
CMES-Computer Modeling in Engineering & Sciences, Vol.75, No.2, pp. 141-172, 2011, DOI:10.3970/cmes.2011.075.141
Abstract The multiple-relaxation-time lattice Boltzmann method for micro-scale flows (MRT µ-flow LBM) is extensively evaluated in this study. Following the study of Chai, Shi, Guo and Lu (2010), the diffusive bounce-back wall boundary condition and the collision matrix are modeled. To determine the model parameters, the first-order, 1.5-order and second-order slip-flow models are discussed. Since the mean free path of gas molecules is considered to be influenced by the wall in micro flow systems, the effects of a correction function after Stops (1970) are also evaluated. As the increase of the Knudsen number (Kn), it is… More >