二相流に対する熱流動格子ボルツマンモデルの提案(流体工学,流体機械)  [in Japanese] Thermal Lattice Boltzmann Model for Simulating Two-Phase Flows  [in Japanese]

In this paper, we propose a new lattice Boltzmann model for two-phase flows pertinent to thermal nonideal fluids. The LBM introduces a fictitious forcing term and recovers thermohydrodynamic equations for nonideal fluid through the Chapman-Enskog expansion procedure. Numerical measurements of thermal conductivity and of surface tension agree well with theoretical predictions. Simulation of phase transition with heat transfer is carried out. It shows that the phases spontaneously separate into domains occupied by the coexisting phases, and demonstrates that the model is applicable to two-phase flows with thermal effects. Using finite difference Lattice Boltzmann method ensures numerical stability of the scheme.

In this paper, we propose a new lattice Boltzmann model for two-phase flows pertinent to thermal nonideal fluids. The LBM introduces a fictitious forcing term and recovers thermohydrodynamic equations for nonideal fluid through the Chapman-Enskog expansion procedure. Numerical measurements of thermal conductivity and of surface tension agree well with theoretical predictions. Simulation of phase transition with heat transfer is carried out. It shows that the phases spontaneously separate into domains occupied by the coexisting phases, and demonstrates that the model is applicable to two-phase flows with thermal effects. Using finite difference Lattice Boltzmann method ensures numerical stability of the scheme.