摘要
将具二阶一致性的1点积分方法(Quadratically Consistent 1-point integration method,QC1)拓展到热传导问题的无网格法分析中。给出了问题的离散化公式以及积分点上的导数修正公式。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,数值结果表明该方法可精确通过二次分片试验,且对于稳态和瞬态热传导均具有更好的精度、收敛性和计算效率。
This paper extends the quadratic consistent 1-point(QC1) integration method to the meshfree analysis of heat conduction. The discretized equation for the problem and the equation to correct the derivatives at quadrature points are given. Numerical results show that: in the comparison to the standard triangle integration method and the existing 1-point integration method which only satisfies the linear consistency, the proposed QC1 method can pass the quadratic patch test exactly and exhibits better accuracy, convergence and computational efficiency for both the static and transient heat conduction.
出处
《工程力学》
EI
CSCD
北大核心
2014年第9期1-6,共6页
Engineering Mechanics
基金
国家自然科学基金项目(11102036
11232003)
973计划项目(2010CB731502)
中央高校基本科研业务费专项资金项目(DUT12LK08)
关键词
热传导
无网格
1点积分
导数修正
一致性
heat conduction
meshfree
1-point integration
derivatives correction
consistency
