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Analytical solution of axi-symmetrical lattice Boltzmann model for cylindrical Couette flows

Author

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  • An, Hongyan
  • Zhang, Chuhua
  • Meng, Jianping
  • Zhang, Yonghao

Abstract

Analytical solution for the axi-symmetrical lattice Boltzmann model is obtained for the low-Mach number cylindrical Couette flows. In the hydrodynamic limit, the present solution is in excellent agreement with the result of the Navier–Stokes equation. Since the kinetic boundary condition is used, the present analytical solution using nine discrete velocities can describe flows with the Knudsen number up to 0.1. Meanwhile, the comparison with the simulation data obtained by the direct simulation Monte Carlo method shows that higher-order lattice Boltzmann models with more discrete velocities are needed for highly rarefied flows.

Suggested Citation

  • An, Hongyan & Zhang, Chuhua & Meng, Jianping & Zhang, Yonghao, 2012. "Analytical solution of axi-symmetrical lattice Boltzmann model for cylindrical Couette flows," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 8-14.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:1:p:8-14
    DOI: 10.1016/j.physa.2011.07.038
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    References listed on IDEAS

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    1. T. S. Lee & Haibo Huang & C. Shu, 2006. "An Axisymmetric Incompressible Lattice Boltzmann Model For Pipe Flow," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(05), pages 645-661.
    2. Karlin, Ilya & Asinari, Pietro, 2010. "Factorization symmetry in the lattice Boltzmann method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1530-1548.
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