熱流動格子ボルツマンモデルに対する安定性解析(流体工学, 流体機械)

概要

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By means of a von Neumann linearized stability analysis, we analyze the numerical stability of thermal Lattice Boltzmann Methods for a 13 velocity hexagonal lattice and for 13 velocity square lattice. The LBM stability depends on the flow mean velocity, the temperature, the relaxation time, and the wavenumber. The stability boundaries are computed for varying the mean flow velocity, the temperature, and the relaxation time. Results common to these lattices are that as the relaxation time is increased, the maximum stable parameters increase monotonically until some fixed values. We also analyze the influence of a fictitious forcing term on numerical stability of the LBMs. The maximum values of stable forcing terms are shown as function of the BGK relaxation time for a 7 velocity hexagonal, a 13 velocity hexagonal, and a 13 velocity square lattices. In terms of numerical stability, we recommend that researchers use the thermal LB models in the region where the mean flow velocity is around 0.00 and the temperature is between 0.60 and 0.80.
一般社団法人日本機械学会の論文
2001-12-25