Abstract: A lattice Boltzmann method for the Belousov-Zhabotinskii reaction is 
proposed to simulate the chemical clock. Applying the Chapman-Enskog 
expansion and multi-scale technique, we obtain a series of lattice 
Boltzmann equations in different time scales, the conservation law in
time scale $t_{0}$ and coefficients of macroscopic equations to find the
equilibrium distribution functions.  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 the chemical systems
with chemical clock.
KEY WORDS: Lattice Boltzmann method, Belousov-Zhabotinskii reaction, 
chemical clock.