@Article{CiCP-9-1128, author = {Nikolaos Prasianakis and Santosh Ansumali}, title = {Microflow Simulations via the Lattice Boltzmann Method}, journal = {Communications in Computational Physics}, year = {2011}, volume = {9}, number = {5}, pages = {1128--1136}, abstract = {
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.
}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.301009.271010s}, url = {http://global-sci.org/intro/article_detail/cicp/7541.html} }