A lattice Boltzmann method for the chemical clock in the Belousov-Zhabotinskii reaction

A lattice Boltzmann method for the Belousov-Zhabotinskii reaction is propos ed to simulate the chemical clock. Applying the Chapman-Enskog expansion an d multiscale technique, we obtain a series of lattice Boltzmann equations i n different timescales, the conservation law in timescale t(0) and coeffici ents of macroscopic equations to find the equilibrium distribution function s. A simple numerical scheme is designed to simulate the diffusion-reaction systems. The numerical example shows that the proposed method can be used to simulate chemical systems with the chemical clock.