Boundary shape determination of steady-state heat-conduction fields
Boundary shape determination of steady-state heat-conduction fields
复制标题
稳态热传导场的边界形状确定
DOI：
10.1002/htj.1014
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发表时间：
2001
期刊：
影响因子：
--
通讯作者：
M. Kojima
中科院分区：
文献类型：
--
作者：
E. Katamine;H. Azegami;M. Kojima
本文提出了一种实用的稳态导热场边界形状设计的数值分析方法，将温度分布控制在规定的分布范围内。重塑是由作者之一提出的解决区域优化问题的牵引力方法完成的，其中定义了椭圆型边值问题。在这项研究中，我们建立了指定分布与指定边界上的实际分布之间的温度平方误差范数最小化问题，并从理论上推导了该问题的形状梯度函数。我们利用通用的有限元程序开发了一种方便的数值方法来解决温度规定问题。对高炉炉缸侵蚀面和机翼内冷却剂流道的二维计算结果表明，该方法是有效的。#2001斯克里塔技术出版社，30(3)：245-258,2001
In this paper, a practical method of numerical analysis for the boundary shape design of steady-state heat-conduction fields to control the temperature distribution to a prescribed distribution is presented. Reshaping was accomplished by the traction method proposed by one of the authors as a solution to domain optimization problems in which elliptic boundary value problems were defined. In this study, we formulated a temperature square error norm minimization problem between the prescribed distribution and the actual distribution on prescribed boundaries and theoretically derived a shape gradient function for this problem. We developed a convenient numerical method using a general-purpose FEM program for the temperature prescribed problem. The successful results for the two-dimensional problems of an erosion surface on a blast furnace hearth and a coolant flow passage in a wing demonstrate the validity of the presented method. © 2001 Scripta Technica, Heat Trans Asian Res, 30(3): 245–258, 2001