LBMによる三次元Rayleigh-Taylor不安定性の安定性解析(安定性・乱流安定性(3),一般講演)

概要

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In the present work, we carry out two-dimensional and three-dimensional numerical simulations for the Rayleigh-Taylor instability to compare with linear and weakly nonlinear stability theories. The lattice Boltzmann method (LBM) for two-phase fluid flows is applied to compute various initial modes, i.e., two-dimensional disturbance, roll, square and hexagonal cells. It is found that small amplitude instabilities of the three cell types equally grow, then the amplitude reaches a certain value, and after that the growth rates depend on the cell type. The hexagonal type has larger growth rate than that of the other two types except for a case that the surface tension is predominant in the simulation results. These computational results are in qualitative agreement with the theoretical predictions.
日本流体力学会の論文
2009-09-02