A Cellular Automata Modelling of Dendritic Crystal Growth based on Moore and von Neumann Neighbourhood
نویسنده
چکیده
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 are 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.
منابع مشابه
Cellular Processing Environment
Cellular Processing is based on the computational model cellular automata and includes an appropriate software environment. The model is massively parallel because all cells can compute their local rule in parallel. The paper gives an overview of the developed software and hardware support. The language CDL allows to describe complex rules with record states in a concise and readable form. CDL+...
متن کاملModeliranje bioloških in kemijskih sistemov s celičnimi avtomati
Extended abstract. Cellular automata were used as a tool for natural systems modelling. Four properties characterise a cellular automaton. The first is the geometry of the array of cells. The most frequently used geometries for the two-dimensional cellular automata are regular meshes of equilateral shapes which are shown in Figure 1. The second property, close related to the geometry of the arr...
متن کاملPackard Snowflakes on the von Neumann Neighborhood
In 1984, Packard [1] introduced simple planar cellular automata to emulate the growth of snow crystals. These Packard Snowflakes have since been popularized by S. Wolfram and others, most recently in [2]. The present paper provides a rigorous analysis of the simplest examples: those with nearest neighbor interaction on the two-dimensional integers. In each case we determine the asymptotic densi...
متن کاملQuick Energy Drop in Stochastic 2D Minority
Cellular automata are usually updated synchronously and thus deterministically. The question of stochastic dynamics arises in the development of cellular automata resistant to noise [1] and in simulation of real life systems [2]. Synchronous updates may not be a valid hypothesis for such simulations and most of these studies use stochastic versions of cellular automata. In [3–6], the authors st...
متن کاملThree-dimensional cellular automata modelling of cleavage propagation across crystal boundaries in polycrystalline microstructures
A three-dimensional cellular automata (CA) with rectilinear layout is used in this work to create and cleave polycrystalline microstructures. Each crystal is defined by a unique randomly generated orientation tensor. Separate states for grains, grain boundaries, crack flanks and crack fronts are created. Algorithms for progressive cleavage propagation through crystals and across grain boundarie...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2014