三维元胞自动机及其在计算机上的实现

元胞自动机是一种时空、状态离散的数学模型,适于计算机模拟实施。特别适合于处理那些难以用数学定量描述的复杂动态体系问题,如材料微观组织的演变。以VisualC 为编译平台,运用OpenGL图形函数库建立一种三维元胞自动机模型。运用该模型进行了简化的枝晶生长模拟,并与二维的模拟结果进行比较,验证了该模拟的正确性。

3D-Cellular Automat and Its Realization on Computer

The Cellular Automaton is a dispersing mathematics model, which is suitable for computer simulation. It is especially appropriate to deal with the complex dynamic system that cannot be described by mathematics, such as the evolution of materials' microstructures. This paper introduces using the OpenGL API to construct a three-dimensional cellular automaton model under the Visual C , then simulating simplified branch growth. Through comparing the result with the 2D result, the validity of this model is verified.