Abstract: Lattice Boltzmann model for the nonlinear chemical waves is proposed. Using Chapman-Enskog expansion and multiscale technique, higher order moments of an equilibrium distribution function is obtained. As an example, the Selkov reaction is simulated with one scratching mark, obtaining a classical chemical patterns, the spiral wave. Numerical test shows that the method can be used to simulate the nonlinear chemical waves.

Key words: lattice Boltzmann method, excitable media, Selkov system, spiral waves