Lattice Boltzmann model of immiscible fluids

Statistics – Computation

Scientific paper

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Binary Fluids, Boltzmann Transport Equation, Computational Fluid Dynamics, Solubility, Two Dimensional Models, Two Phase Flow, Capillary Waves, Interfacial Tension, Particle Collisions, Porous Materials

Scientific paper

A lattice Boltzmann model for simulating immiscible binary fluids in two dimensions is introduced. The model, based on the Boltzmann equation of lattice-gas hydrodynamics, incorporates features of a previously introduced discrete immiscible lattice-gas model. A theoretical value of the surface-tension coefficient is derived and found to be in excellent agreement with values obtained from simulations. The model serves as a numerical method for the simulation of immiscible two-phase flow; a preliminary application illustrates a simulation of flow in a two-dimensional microscopic model of a porous medium. Extension of the model to three dimensions appears straightforward.

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