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A Lattice Boltzmann Method for the Chemical Clock in the Belousov-Zhabotinskii Reaction
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| YAN Guang-Wu1,2;YUAN Li1
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| 1LSEC, Institute of Computational Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of
Sciences, Beijing 100080
2Department of Mathematics, Jilin University, Changchun 130023
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| Cite this article: |
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YAN Guang-Wu, YUAN Li 2001 Chin. Phys. Lett. 18 918-920 |
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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.
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| Keywords:
47.10.+g
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Published: 01 July 2001
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