A Lattice Boltzmann Method for the Chemical Clock in the Belousov-Zhabotinskii Reaction
YAN Guang-Wu1,2, YUAN Li1
1LSEC, Institute of Computational Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of
Sciences, Beijing 100080
2Department of Mathematics, Jilin University, Changchun 130023
A Lattice Boltzmann Method for the Chemical Clock in the Belousov-Zhabotinskii Reaction
YAN Guang-Wu1,2;YUAN Li1
1LSEC, Institute of Computational Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of
Sciences, Beijing 100080
2Department of Mathematics, Jilin University, Changchun 130023
Abstract： A lattice Boltzmann method for the Belousov-Zhabotinskii reaction is proposed to simulate the chemical clock. Applying the Chapman-Enskog expansion and multiscale technique, we obtain a series of lattice Boltzmann equations in different timescales, the conservation law in time scale t0 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 chemical systems with the chemical clock.
YAN Guang-Wu;YUAN Li
. A Lattice Boltzmann Method for the Chemical Clock in the Belousov-Zhabotinskii Reaction
[J]. 中国物理快报, 2001, 18(7): 918-920.
YAN Guang-Wu, YUAN Li
. A Lattice Boltzmann Method for the Chemical Clock in the Belousov-Zhabotinskii Reaction
. Chin. Phys. Lett., 2001, 18(7): 918-920.
2001, Vol. 18 
