Title: Cellular automata modelling of dendritic crystal growth based on Moore and von Neumann neighbourhoods

Authors: Y. Zhao, S.A. Billings, D. Coca

Addresses: Department of Automatic Control and System Engineering, University of Sheffield, UK, S1 3JD. ' Department of Automatic Control and System Engineering, University of Sheffield, UK, S1 3JD. ' Department of Automatic Control and System Engineering, University of Sheffield, UK, S1 3JD

Abstract: An important step in understanding crystal growth patterns involves simulation of the growth processes using mathematical models. In this paper some commonly used models in this area are reviewed and a new simulation model of dendritic crystal growth based on the Moore and von Neumann neighbourhoods in cellular automata models is introduced. Simulation examples are employed to find appropriate parameter configurations to generate dendritic crystal growth patterns. Based on these new modelling results the relationship between tip growth speed and the parameters of the model are investigated.

Keywords: dendritic crystal growth; cellular automata; mathematical modelling; simulation; crystal growth patterns; tip growth speed.

DOI: 10.1504/IJMIC.2009.024328

International Journal of Modelling, Identification and Control, 2009 Vol.6 No.2, pp.119 - 125

Available online: 31 Mar 2009 *

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