Accuracy of the lattice Boltzmann method for small Knudsen number with finite Reynolds number

• Takaji Inamuro

  Department of Chemical Engineering, Graduate School of Engineering, Kyoto University, Kyoto 606-01, Japan

• Masato Yoshino

  Department of Chemical Engineering, Graduate School of Engineering, Kyoto University, Kyoto 606-01, Japan

• Fumimaru Ogino

  Department of Chemical Engineering, Graduate School of Engineering, Kyoto University, Kyoto 606-01, Japan

抄録

The asymptotic theory proposed by Sone [in Rarefied Gas Dynamics, edited by D. Dini (Editrice Tecnico Scientifica, Pisa, 1971), p. 737] is applied to the investigation of the accuracy of the lattice Boltzmann method (LBM) for small Knudsen number with finite Reynolds number. The S-expansion procedure of the asymptotic theory is applied to LBM with the nine-velocity model and fluid-dynamic type equations are obtained. From the fluid-dynamic type equations it is found that by using the LBM we can obtain the macroscopic flow velocities and the pressure gradient for incompressible fluid with relative errors of O(ε′2) where ε′ is a modified Knudsen number which is of the same order as the lattice spacing and is related to a dimensionless relaxation time. In two problems, the Couette flow with flow injection and suction through porous walls and a three-dimensional flow through a square duct, the accuracy of LBM is examined for relaxation times between 0.8 and 1.7 and the validity of the asymptotic theory for LBM is shown.

収録刊行物

• Physics of Fluids

  Physics of Fluids 9 (11), 3535-3542, 1997-11-01

  AIP Publishing

キーワード

• Condensed Matter Physics
• Fluid Flow and Transfer Processes
• Mechanics of Materials
• Computational Mechanics
• Mechanical Engineering

詳細情報

• CRID: 1361418521217467520
• NII論文ID: 80009937028
• DOI: 10.1063/1.869426
• ISSN: 10897666
• ISSN: 10706631
• Web Site: https://pubs.aip.org/aip/pof/article-pdf/9/11/3535/12573134/3535_1_online.pdf
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