基于四叉树网格技术的铝合金组织的数值模拟

杨欢庆; 殷亚军; 王琳; 廖敦明; 周建新

doi:10.15980/j.tzzz.2013.07.018

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基于四叉树网格技术的铝合金组织的数值模拟
Solidification Microstructure Simulation of the Al Alloys by Phase Field Method based on the Quad Tree
2013年33卷第7期页码：597-600
纸质出版日期： 2013 ，
DOI： 10.15980/j.tzzz.2013.07.018

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[1]杨欢庆,殷亚军,王琳,廖敦明,周建新.基于四叉树网格技术的铝合金组织的数值模拟[J].特种铸造及有色合金,2013,33(07):597-600.

Yang Huanqing1, Yin Yajun2, Wang Lin1, et al. Solidification Microstructure Simulation of the Al Alloys by Phase Field Method based on the Quad Tree[J]. Special Casting & Nonferrous Alloys, 2013,33(7):597-600.
[1]杨欢庆,殷亚军,王琳,廖敦明,周建新.基于四叉树网格技术的铝合金组织的数值模拟[J].特种铸造及有色合金,2013,33(07):597-600. DOI： 10.15980/j.tzzz.2013.07.018.

Yang Huanqing1, Yin Yajun2, Wang Lin1, et al. Solidification Microstructure Simulation of the Al Alloys by Phase Field Method based on the Quad Tree[J]. Special Casting & Nonferrous Alloys, 2013,33(7):597-600. DOI： 10.15980/j.tzzz.2013.07.018.

摘要

为克服相场法在数值模拟中计算能力低的缺点

将四叉树技术应用于相场法数值模拟的网格系统中

构建了基于四叉树的自适应网格数值模拟方法。采用该方法对铝合金进行了二维等温凝固过程组织模拟

模拟结果与理论和试验金相分析符合。同时

通过与均匀网格的对比

说明了在保证同等计算精度的前提下

采用四叉树自适应网格方法

在凝固时间为7.5×10-5s时

网格数整体减少为均匀网格的1.74%。该数据表明基于四叉树的方法极大地提高了相场法数值模拟的计算能力。

Abstract

In order to improve the computing power of the phase field modeling

the quad tree technology is introduced to the mesh system of the phase field method to build the self-adaptive mesh method. Microstructure simulation of aluminum alloy based on 2-dimension isothermal solidification was conducted by the modified method

and the simulated results are well in agreement with the empirical simulation and experimental ones. In addition

by comparative with the results using the uniform mesh

when the solidification time is 7.5×10-5 s

the number of the mesh cells is reduced to 1.74% of uniform mesh. The results reveal that the phase field method based on the quad tree can enhance greatly the computing ability of the phase method with the same calculation accuracy.