The study is devoted to the application of Lattice Boltzmann Method (LBM) and the Unified Gas-Kinetic Scheme (UGKS) to the numerical simulations of micro-channel flows in transitional regime. Both methods present the variants of the meso-scale gas-dynamic approach. This way of mathematial modelling allows taking into account both micro- and macro-scale process of a flow. At the same time, UGKS saves much more physics from the micro-scale molecular interaction mechanism than LBM. It leads to much more demands in sense of numerical resources. The numerical results are presented for the Knudsen compressor flow.
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