The simulation of conductivity of binary mixtures with lattices Boltzmann method
格子玻耳兹曼方法计算混合物整体电导率

The Lattice Boltzmann Method (LBM) is employed to simulate the conductivity of binary mixtures. The conductivity is affected by the conductivity of each component, volume fraction and structure of mixtures. The simulated results of conductivity for the binary mixtures in the serial and parallel modes are in agreement with the analytical solution to show the reliable of the LBM. The conductivity of the models with a random distribution of inclusion, obtained by the LBM, falls into the area predicted by H-S theory. The LBM is believed to be an efficient way to investigate the conductivity and the dielectric constant for the agreement between the simulation of the conductivity of Al-Bi alloy, the dielectric constant of saturated rock and laboratory experiments of them.