A Lattice Boltzmann Model of Binary Fluid Mixture

Abstract

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.

12 pages + 4 eps figures

References in corpus (3)

• Simulation of non-ideal gases and liquid-gas phase transitions by lattice Boltzmann equation
• Lattice Boltzmann Simulation of Non-Ideal Fluids
• Hydrodynamic Spinodal Decomposition: Growth Kinetics and Scaling Functions

Cited by in corpus (31)

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