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

Hongyan An, Chuhua Zhang, Jian-Ping Meng, Yonghao Zhang

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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.
Original languageEnglish
Pages (from-to)8-14
Number of pages7
JournalPhysica A: Statistical Mechanics and its Applications
Volume391
Issue number1-2
DOIs
Publication statusPublished - 1 Jan 2012

Keywords

  • lattice Boltzmann model
  • analytical solution
  • axi-symmetric flow

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