Author(s): Yuqing Lin; Arthur E. Mynett
Linked Author(s): Yuqing Lin
Keywords: Unstructured cellular automata; Cell size effects; UCA rules
Abstract: Instead of uniform and structured meshes, the unstructured cellular automata (UCA) are based on the unstructured meshes. UCA have the advantages of presenting the complicated geometry and boundaries flexibly, compared with the classical cellular automata which based on the structured grids, and it can be coupled directly with unstructured hydrodynamic modelling without mapping transformation. The performances of CA are depending on the local rules which usually execute same rules synchronously for every element. For UCA who have variable cells, it is obvious that if some cells are refined but still use the same executing rules, the rules will be implemented for extra time steps due to the refined elements. For the purpose of concerning the influence of varying cells, the parameter for UCA rules need be set up according to the different size of cells. The numerical experiment was carried out based on the diffusion problems. In order to test the effects of cell size, two groups of meshes are used in this research. The first sets of meshes are the original meshes and local refined meshes. The second type of meshes is the rough meshes compared with the global refined meshes. The results show that the distance between the cells is one of the most important parameter for unstructured cellular automata. The effects from different size of cells could be demonstrated by some parameters.
Year: 2010