基于粒子群优化算法的寻源导热反问题研究  

Seeking Heat Source in Inverse Heat Conduction Problem by Using Particle Swarm Optimization

作　　者：张涛[1] 卢玫[1] 陶亮[1] 李博汉[1] 

机构地区：[1]上海理工大学能源与动力工程学院,上海200093

出　　处：《上海理工大学学报》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)

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.

关 键 词：热传导 反问题 热源 粒子群优化算法 

分 类 号：TK124[动力工程及工程热物理—工程热物理]