TY - JOUR T1 - Microflow Simulations via the Lattice Boltzmann Method JO - Communications in Computational Physics VL - 5 SP - 1128 EP - 1136 PY - 2011 DA - 2011/05 SN - 9 DO - http://doi.org/10.4208/cicp.301009.271010s UR - https://global-sci.org/intro/article_detail/cicp/7541.html KW - AB -

The exact solution to the hierarchy of nonlinear lattice Boltzmann kinetic equations, for the stationary planar Couette flow for any Knudsen number was presented by S. Ansumali et al. [Phys. Rev. Lett., 98 (2007), 124502]. In this paper, simulation results at a non-vanishing value of the Knudsen number are compared with the closed-form solutions for the higher-order moments. The order of convergence to the exact solution is also studied. The lattice Boltzmann simulations are in excellent agreement with the exact solution.