LBGK Simulations of Turing Patterns in CIMA Model

  • Authors:
  • Qing Li;Chu-Guang Zheng;Neng-Chao Wang;Bao-Chang Shi

  • Affiliations:
  • College of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China/ State Key Laboratory of Coal Combustion, Huazhong University of ...;State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China;Parallel Computation Institute, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China;Parallel Computation Institute, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China

  • Venue:
  • Journal of Scientific Computing
  • Year:
  • 2001

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Abstract

A lattice Bhatnagar–Gross–Krook (LBGK) model for reaction-diffusion systems is presented. This model provides a mesoscopic approach to the dynamics of spatially-distributed reacting systems. Pure diffusion phenomena are computed and the results are agreement with the theoretical predictions. This method is also applied to formation of Turing patterns in chloride-iodide-malonic acid (CIMA) reactive model. We get hexagonal structures and stripes which are agreement with other numerical results and experimental results.