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Accuracy of the Lattice-Boltzmann Method

Author

Listed:
  • Robert S. Maier

    (Army High Performance Computing Research Center, 1100 Washington Avenue So., Minneapolis, MN 55415, USA)

  • Robert S. Bernard

    (Waterways Experiment Station, Corps of Engineers, 3909 Halls Ferry Road, Vicksburg, MS 39180-6199, USA)

Abstract

The accuracy of the lattice-Boltzmann method (LBM) is moderated by several factors, including Mach number, spatial resolution, boundary conditions, and the lattice mean free path. Results obtained with 3D lattices suggest that the accuracy of certain two-dimensional (2D) flows, such as Poiseuille and Couette flow, persist even when the mean free path between collisions is large, but that of the 3D duct flow deteriorates markedly when the mean free path exceeds the lattice spacing. Accuracy in general decreases with Knudsen number and Mach number, and the product of these two quantities is a useful index for the applicability of LBM to 3D low-Reynolds-number flow. The influence of boundary representations on LBM accuracy is captured by the proposed index, when the accuracy of the prescribed boundary conditions is consistent with that of LBM.

Suggested Citation

  • Robert S. Maier & Robert S. Bernard, 1997. "Accuracy of the Lattice-Boltzmann Method," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 8(04), pages 747-752.
    • Handle: RePEc:wsi:ijmpcx:v:08:y:1997:i:04:n:s0129183197000631
    DOI: 10.1142/S0129183197000631
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