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Multi-component lattice-Boltzmann model with interparticle interaction
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.Comment: 18 pages, compressed and uuencoded postscript fil
Simulation of Cavity Flow by the Lattice Boltzmann Method
A detailed analysis is presented to demonstrate the capabilities of the
lattice Boltzmann method. Thorough comparisons with other numerical solutions
for the two-dimensional, driven cavity flow show that the lattice Boltzmann
method gives accurate results over a wide range of Reynolds numbers. Studies of
errors and convergence rates are carried out. Compressibility effects are
quantified for different maximum velocities, and parameter ranges are found for
stable simulations. The paper's objective is to stimulate further work using
this relatively new approach for applied engineering problems in transport
phenomena utilizing parallel computers.Comment: Submitted to J. Comput. Physics, late
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