无网格法在温度场中的应用

Element-free method for temperature profile in heat conduction

介绍无网格法的基本原理,推导二维温度场问题的无网格法计算公式,采用罚函数法满足本征边界条件;讨论权函数的选取原则,给出了二维温度场计算过程中的常用的权函数。基于MATI,AB编制无网格法的分析计算软件,通过对若干算例的计算分析,说明了无网格法具有计算精度高、后处理方便等优点,是一种具有潜力的温度场数值计算的新方法。

The element-free method (EFM), based on moving least-squares method, is applied to solve the heat conduction problems. The relevant theories of EFM including the choice of weight functions and the meeting of boundary condition are described to obtain discrete equation of the problems. The several numerical examples by applying EFM-based software indicate mat EFM is a potential method to simplify the post-processing and to obtain accurate predictions of heat conduction problems.