A Lattice Boltzmann Model of Binary Fluid Mixture

Details A Lattice Boltzmann Model of Binary Fluid Mixture A Lattice Boltzmann Model of Binary Fluid Mixture

1995-11-03

arxiv.org/abs/comp-gas/9511001v1

Nonlinear Sciences

Cellular Automata and Lattice Gases

12 pages + 4 eps figures

Scientific paper

10.1209/0295-5075/32/6/001

We introduce a lattice Boltzmann for simulating an immiscible binary fluid mixture. Our collision rules are derived from a macroscopic thermodynamic description of the fluid in a way motivated by the Cahn-Hilliard approach to non-equilibrium dynamics. This ensures that a thermodynamically consistent state is reached in equilibrium. The non-equilibrium dynamics is investigated numerically and found to agree with simple analytic predictions in both the one-phase and the two-phase region of the phase diagram.

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