Thermodynamic consistency in deriving lattice Boltzmann models for describing segregation in non-ideal mixtures

P. C. Philippi, L. O. Emerich Dos Santos, L. A. Hegele, C. E. Pico Ortiz, D. N. Siebert, R. Surmas
2011 Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences  
The thermodynamic consistency of kinetic models for non-ideal mixtures in nonisothermal conditions is investigated. A kinetic model is proposed that is suitable for deriving high-order lattice Boltzmann equations by an appropriate discretization of the velocity space, satisfying the Galilean invariance condition and free of spurious terms in the first moment equations.
doi:10.1098/rsta.2011.0021 pmid:21536576 fatcat:jl3u2tbhjfa3rfjt4ggbjzlxga