Diffusion in a multi-component Lattice Boltzmann Equation model

Details Diffusion in a multi-component Lattice Boltzmann Equation model Diffusion in a multi-component Lattice Boltzmann Equation model

1996-05-28

arxiv.org/abs/comp-gas/9605003v1

Nonlinear Sciences

Cellular Automata and Lattice Gases

To appear in Aug 1 issue of PRE

Scientific paper

10.1103/PhysRevE.54.3614

Diffusion phenomena in a multiple component lattice Boltzmann Equation (LBE) model are discussed in detail. The mass fluxes associated with different mechanical driving forces are obtained using a Chapman-Enskog analysis. This model is found to have correct diffusion behavior and the multiple diffusion coefficients are obtained analytically. The analytical results are further confirmed by numerical simulations in a few solvable limiting cases. The LBE model is established as a useful computational tool for the simulation of mass transfer in fluid systems with external forces.

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