稳态热传导的二阶一致无网格法

王冰冰; 高欣; 段庆林

doi:10.3879/j.issn.1000-0887.2013.07.010

稳态热传导的二阶一致无网格法

doi: 10.3879/j.issn.1000-0887.2013.07.010

大连理工大学工业装备结构分析国家重点实验室,辽宁大连 116023

基金项目: 国家自然科学基金资助项目（11102036）;973计划资助项目（2010CB731502）;中央高校基本科研业务费专项资金资助项目（DUT12LK08）

详细信息

作者简介:
王冰冰(1989—),男,河南内黄人,硕士生(E-mail: bingbkwang@gmail.com);段庆林(1979—),男,博士,副教授(通讯作者.E-mail: qinglinduan@dlut.edu.cn).

中图分类号: O343.1
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- 被引次数: 0
出版历程
- 收稿日期: 2012-10-19
- 修回日期: 2013-05-24
- 刊出日期: 2013-07-15

Quadratically Consistent Meshfree Methods for Heat Conduction in Steady State

State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology, Dalian, Liaoning 116023, P.R.China

摘要

摘要: 将具二阶一致性的3点积分方法（quadratically consistent 3-point integration method，QC3）拓展到稳态热传导问题的无网格法分析中．数值结果表明，与标准三角形积分方法以及已存在的仅满足线性一致性的1点积分方法相比，所建议的QC3方法不仅能精确地通过二阶分片试验，而且在精度、收敛性以及计算效率等方面都表现出显著优势．
- 无网格 /
- 数值积分 /
- 导数修正 /
- 热传导 /
- 一致性
Abstract: The quadratically consistent 3-point integration method (QC3) was extended to the meshfree analysis of heat conduction problem in steady state. Numerical results show that, in comparison with the standard triangle integration method and the existing 1-point integration method which only satisfies the linear consistency, the proposed QC3 method not only passes the quadratic patch test exactly, but also exhibits significant superiority in terms of accuracy, convergence and efficiency.
- meshfree /
- numerical integration /
- derivative correction /
- heat conduction /
- consistency

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参考文献(10)

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