Simulation of Liesegang Pattern Formation Using Lattice Boltzmann Method in three Dimensions

摘要

The Liesegang pattern formation in three dimensional reaction-diffusion systems is numerically simulated using a lattice Boltzmann method. The reaction and diffusion processes are characterized using the multicomponent lattice Boltzmann equation with three dimensions and fifteen directions. The precipitation and aggregation of the reaction product are modeled based on the supersaturation mechanism. The stratification of the Liesegang pattern in the cubic enclosure can be clearly identified. The interference of the quasiperiodic waves in the Liesegang pattern provides evidence for the interactions between the dynamical processes arise from multisource reactants.