The Laguerre model of grain growth in two dimensions II. Examples of coarsening simulations
The Laguerre model of grain growth in two dimensions II. Examples of coarsening simulations
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二维晶粒生长的拉盖尔模型 II。
DOI：
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
Alain Mocellin
中科院分区：
文献类型：
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作者：
H. Telley;Thomas m. Libeling;Alain Mocellin
第一部分介绍了模拟二维颗粒长大或泡沫粗化的确定性方案的基本概念，并给出了相应的Laguerre(或加权Voronoi)图在计算机可管理的实用条件下的实现。首先讨论了模型的内部组成，包括从不同方案获得的蜂窝网络的初始配置。设计了一个内部时钟，并引入了一个任意的无量纲参数，以提供生成圆位置与其大小的变化率的相对权重。给出了评价仿真稳健性和一致性的判据。实际的模拟实验随后被描述为从不同数量的单元建造的一系列初始结构-多达105个-进行的。在所有模拟中都发现正常晶粒生长的基本理论属性是可恢复的，特别是统计自相似...
Abstract The basic concepts of a deterministic scheme for simulating grain growth or foam coarsening in two dimensions have been presented in Part I. Implementation of the corresponding Laguerre (or weighted Voronoi) diagram in computer manageable practical terms is now presented. The internal constituents of the model are discussed first and include the initial configurations of the cellular network, obtained from different schemes. An internal clock is designed and an arbitrary dimensionless parameter is introduced to provide a relative weight to the rates of change of the generating circle positions with those of their sizes. A criterion for evaluating robustness and consistency of simulations is also presented. Actual simulation experiments are subsequently described as conducted from a range of initial structures built from different numbers of cells-up to 105. The essential theoretical attributes of normal grain growth were found to be recoverable in all simulations, notably statistical self-similar...