Diffusion Model Based on Cellular Automata and Its Application

We adopt cellular automata, a kind of complex system modeling method which achieves macro-emergence through local transition rules, to build a diffusion model. We realize parallel computation of the model with MATLAB's matrix processing and develop a GUI for model running. Through adjusting the diffusion parameters, diffusion pattern parameters, diffusion control parameters with the GUI, we achieve dynamic simulation of various diffusions' spatial-temporal changing. Apply this model to simulate air pollution diffusing and visualize simulation results in GIS. The results show that the model can not only dynamically simulate diffusion models, but also simulate diffusion under unsteady atmosphere (such as changed wind direction and speed or turbulent flow) by reasonable parameter settings. With accurate dynamic simulation of spatial-temporal distribution of pollution the model is supposed to be feasible and reasonable, and is expected to be used to simulate and predict the various diffusion patterns.