移动热源问题的移动加权最小二乘无网格法

Moving Weighted Least Squares Meshless Method for Moving Heat Source Problem

针对具有奇异性的高斯移动热源问题,基于无网格法和移动网格法的思想提出了移动加权最小二乘无网格法,节点能够在求解域中自适应地向解梯度较大的区域移动,从而更好地表征热源的温度分布.数值算例验证了算法的有效性.

In this paper, based on the idea of meshless method and moving mesh method, a moving weighted least squares meshless method is proposed for the singular Gaussian moving heat source problem. The nodes can move adaptively to the region with larger gradient in the solution domain, so as to better characterize the temperature distribution of the heat source. Numerical examples verify the effectiveness of the algorithm.