Theory of the lattice Boltzmann method: Two-fluid model for binary mixtures

A lattice Boltzmann model for binary mixtures with several important features was constructed. As such, all the modeling issues were addressed at the continuum level within the framework of extended kinetic theory. The lattice Boltzmann model was then directly derived from the continuous kinetic model equations using a formal discretization procedure. The lattice model thus inherits the sound physics and mathematical rigor incumbent in kinetic theory.

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