A Lattice Boltzmann Method for a Binary Miscible Fluid Mixture and Its Application to a Heat-Transfer Problem

By Takaji Inamuro, M. Yoshino, H. Inoue, Riki Mizuno, F. Ogino. 2002

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Simulating oscillatory flows in Rayleigh–Bénard convection using the lattice Boltzmann method (2007, methodology): “be seen that the values of the Nusselt number computed using the current LB model slightly deviate from those presented data in [2] at higher Rayleigh numbers ðRa P 30; 000Þ, and this conclusion by current LB model is similar to the simulation results obtained using the other LB models presented in ”
Lattice Boltzmann equation model for multi-component multi-phase flow with high density ratios (2013, methodology): “The LBE model has been used for many kinds of simulations of incompressible viscous flows [9].”
Lattice Boltzmann method for microfluidics: models and applications (2011, methodology): “By taking advantage of the formal analogy between heat and mass transfer, the passive scalar approach considers the temperature as a scalar property, and its evolution is simulated similarly by another set of distribution functions using two-component LBM models (Shan 1997; Inamuro et al. 2002).”