Lattice Boltzmann modelling Knudsen layer effect in non-equilibrium flows

Tang, G.H. and Zhang, Y. H. and Gu, X.J. and Emerson, D. R. (2008) Lattice Boltzmann modelling Knudsen layer effect in non-equilibrium flows. EPL: A Letters Journal Exploring the Frontiers of Physics, 83 (4). 40008. ISSN 0295-5075 (https://doi.org/10.1209/0295-5075/83/40008)

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Abstract

Due to its intrinsically kinetic nature, lattice Boltzmann (LB) approach to simulating non-equilibrium gas flows has recently attracted significant research interest. Compared with other kinetic methods, it can offer a significantly smaller computational cost. To capture the nonlinear high-order rarefaction phenomena in gas flows, a geometry-dependent gas local mean free path has been proposed to be implemented in our "high-order" LB model. A series of tests on rarefaction effects and the Knudsen layer interference have been carried out and the simulation results demonstrate our LB model's capability for highly non-equilibrium flows.