分科会「非平衡流体への運動学的アプローチ」(第6回)

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日時: 2021年10月25日(月) 16:45-17:45
場所: オンライン開催
講演: New lattice Boltzmann model for simulating compressible flows
  Prof. Takeshi Kataoka (Department of Mechanical Engineering, Kobe University, Japan)
片岡 武 准教授 (神戸大学大学院 工学研究科 機械工学専攻)
要旨: We have developed a new type of simple lattice Boltzmann (LB) model for the compressible Euler and NS equations based on the kinetic-equation approach proposed by Sone in 2002. The model uses the kinetic equation of the free-molecular type in the streaming process, and modifies the distribution function to its Chapman-Enskog type in the collision process. Compared with the conventional LB models which solve the kinetic equation of the BGK type, the proposed model is superior in the following two points: (i) any flow parameters, including the specific-heat ratio and three transport coefficients, can be chosen freely according to our convenience; (ii) there are no inherent errors associated with the Knudsen number. Numerical tests and error estimates confirm these merits.