Multi-component lattice-Boltzmann model with interparticle interaction

Details Multi-component lattice-Boltzmann model with interparticle interaction Multi-component lattice-Boltzmann model with interparticle interaction

1995-03-07

arxiv.org/abs/comp-gas/9503001v1

Nonlinear Sciences

Cellular Automata and Lattice Gases

18 pages, compressed and uuencoded postscript file

Scientific paper

10.1007/BF02179985

A previously proposed [X. Shan and H. Chen, Phys. Rev. E {\bf 47}, 1815, (1993)] lattice Boltzmann model for simulating fluids with multiple components and interparticle forces is described in detail. Macroscopic equations governing the motion of each component are derived by using Chapman-Enskog method. The mutual diffusivity in a binary mixture is calculated analytically and confirmed by numerical simulation. The diffusivity is generally a function of the concentrations of the two components but independent of the fluid velocity so that the diffusion is Galilean invariant. The analytically calculated shear kinematic viscosity of this model is also confirmed numerically.

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