Abstract
Simulations of emergence of spiral waves in the chloride-iodidemalonic acid (CIMA) reaction-diffusion knietic model with a lattice Bhatnagar-Gross-Krook (LBGK) method are discussed. We get a set of parameters, which can obtain some typical spiral waves in CIMA model.
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References
Turing A.M.: The chemical basis of morphogenesis. Phil. Trans. R. Soc. London, Ser. B 237, 37–72 (1952)
Kepper P.D., Castets V., Dulos E., et al.: Turing-type chemical patterns in the chlorite-iodide-malonic acid reaction. Phisica D, 49, 161–169 (1991)
Ouyang Q., Swinney H.L.: Transition from a uniform state to hexagonal and striped Turing patterns. Nature, 352, 610–612 (1991)
Lengyel I., Epstein I.R.: Modeling of Turing structures in the chloriteiodide-malonic acid-starch reaction system. Science, 251, 650–652 (1991)
Jensen O., Pannbacker V.O., Dewel G., et al.: (1990). Subcritical transitions to Turing structures. Physics Lett. A, 179, 91–96 (1990)
Rudovics B., Barillot E., Davies P.W., et al.: Experimental studies and quantitative modeling of Turing patterns in the (chlorine dioxide, iodine, malonic acid) reaction. J. Chem. Phys. A, 103, 1790–1800 (1999)
Dawson S.P., Chen S., Doolen G.D.: (1993). Lattice Boltzmann computations for reaction-diffusion equations. J. Chem. Phis., 98, 1514–1523 (1993)
Blaak R., Sloot P.M.: Lattice dependence of reaction-diffusion in lattice Boltzmann modeling. Comput. Phys. Comm., 129, 256–266 (2000)
Li Q., Zheng C.G., Wang N.C., et al.: LBGK simulations of Turing patterns in CIMA model. J. Sci. comp., 16, 121–134 (2001)
Markus M., Hess B.: Isotropic cellular automaton for modelling excitable media. Nature, 347, 56–58 (1990)
Gerhardt M., Schuster H., Tyson J.: A Cellular automaton model of excitable media including curvature and dispersion. Science, 247, 1563–1566 (1990)
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© 2005 Springer-Verlag Berlin Heidelberg
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Li, Q., Song, A. (2005). LBGK Simulations of Spiral Waves in CIMA Model. In: Zhang, W., Tong, W., Chen, Z., Glowinski, R. (eds) Current Trends in High Performance Computing and Its Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-27912-1_45
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DOI: https://doi.org/10.1007/3-540-27912-1_45
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25785-1
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