タイトル Title Accuracy of the lattice Boltzmann method for describing the behavior of a gas in the continuum limit 著者 Author(s) Kataoka, Takeshi / Tsutahara, Michihisa 掲載誌・巻号・ページ Citation Physical Review E,82(5):056709[23 pages] 刊行日 Issue date 2010-11-15 資源タイプ Resource Type Journal Article / 学術雑誌論文 版区分 Resource Version publisher 権利 Rights The accuracy of the lattice Boltzmann method ͑LBM͒ for describing the behavior of a gas in the continuum limit is systematically investigated. The asymptotic

more »

... ysis for small Knudsen numbers is carried out to derive the corresponding fluid-dynamics-type equations, and the errors of the LBM are estimated by comparing them with the correct fluid-dynamics-type equations. We discuss the following three important cases: ͑I͒ the Mach number of the flow is much smaller than the Knudsen number, ͑II͒ the Mach number is of the same order as the Knudsen number, and ͑III͒ the Mach number is finite. From the von Karman relation, the above three cases correspond to the flows of ͑I͒ small Reynolds number, ͑II͒ finite Reynolds number, and ͑III͒ large Reynolds number, respectively. The analysis is made with the information only of the fundamental properties of the lattice Boltzmann models without stepping into their detailed form. The results are therefore applicable to various lattice Boltzmann models that satisfy the fundamental properties used in the analysis.