稳态热传导的二阶一致无网格法

Quadratically Consistent Meshfree Methods for Heat Conduction in Steady State

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.

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.