An efficient time-stepping scheme for numerical simulation of dendritic crystal growth

被引：21
|
作者：
Shah, Abdullah [1 ]
Sabir, Muhammad [1 ]
Bastian, Peter [2 ]
机构：
[1] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan
[2] Heidelberg Univ, Interdisziplinares Zentrum Wissensch Rechnen, Neuenheimer Feld 368, Heidelberg, Germany
来源：
EUROPEAN JOURNAL OF COMPUTATIONAL MECHANICS | 2016年 / 25卷 / 06期
关键词：
Dendritic crystal growth; phase-field model; diagonally implicit fractional step theta-scheme; conforming finite element method;
D O I：
10.1080/17797179.2016.1276395
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
In this article, we present an adaptive time-stepping technique for numerical simulation of dendritic crystal growth model. The diagonally implicit fractional step theta-scheme for time discretisation and conforming Q1 finite-element method for space discretisation are used. The performance of the scheme is illustrated by simulating two-dimensional dendritic crystal growth problem, allowing the comparison with other numerical methods. In addition, traditional diagonally implicit Runge-Kutta method is used and comparison is given with the proposed scheme. Robustness is observed for the present scheme. Parametric effects on the growth and shape of dendrites are also given.
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页码：475 / 488
页数：14
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