摘要
给出了描述导热问题的数学模型,根据最小二乘法原理建立导热反问题的目标函数,并采用从鸟群捕食行为演化而来的粒子群优化算法对含有热源项的导热反问题进行热源位置的反演求解,同时对粒子群优化算法中惯性系数的取值范围进行了讨论.结果表明:采用粒子群算法反演热源的位置可以取得较好的结果,使用随迭代次数变化的惯性系数可以加快算法的收敛速度.
A numerical model was built for the solution of heat conduction problems. In solving inverse problems, a least-square based objective function was minimized by PSO. A new robust solving method to determine the heat source in IHCP. was developed. With a number of numerical examples, the evaluation of inertia coefficient in PSO was studied. The results show that the proposed method is an accurate and efficient method to determine the location of heat source in IHCP.
出处
《上海理工大学学报》
CAS
北大核心
2013年第4期377-381,共5页
Journal of University of Shanghai For Science and Technology
基金
国家自然科学基金资助项目(51176126)
关键词
热传导
反问题
热源
粒子群优化算法
heat conduction
inverse problem
heat source
particle awarm optimization（ PSO ）
