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Lattice Boltzmann Method With Optimized Boundary Layer At Finite Knudsen Numbers

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  • LAJOS SZALMÁS

    (Department of Physics, University of Rome "La Sapienza", 2 Piazzale Aldo Moro, 00185 Rome, Italy;
    Accademia d'Ungheria, Via Giulia 1, 00186 Roma, Italy)

Abstract

We present an optimization procedure in high-order lattice Boltzmann models in order to fine-tune the method for micro-channel flows in the transition region. Both the first and second slip coefficients are tunable, and the hydrodynamic and Knudsen layer solutions can be tailored. Very good results are obtained in comparison with the continuous solution for hard sphere molecules. For the first time, we provide an accurate description of Poiseuille flow in the transition region.

Suggested Citation

  • Lajos Szalmás, 2008. "Lattice Boltzmann Method With Optimized Boundary Layer At Finite Knudsen Numbers," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(02), pages 249-257.
    • Handle: RePEc:wsi:ijmpcx:v:19:y:2008:i:02:n:s0129183108012078
    DOI: 10.1142/S0129183108012078
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