边界元法无创重建温度场

Jinhua Wen, Kaiyang Li, Zhangshen Yu, Daiqiang Yin
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引用次数: 0

摘要

本文对稳态条件下的Pennes生物传热方程进行了简化。采用边界元法进行正演求解。它结合了两种常用的正则化方法求解反问题。测试了三种常用的正则化参数选择方法,并进行了两个实验。第一个实验是在六面自由接触空气的立方聚丙烯上进行的,第二个实验是在一面温度恒定的立方聚丙烯上进行的。在这两个实验中,成功地重建了聚丙烯的内部热源和温度场。
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Noninvasive Reconstruction of Temperature Field by Boundary Element Method
In this paper, the Pennes bio-heat transfer equation was simplified in the condition of steady state. Boundary element method was used as the forward solver. It was incorporated with two popular regularization methods for inverse problem. Three well-known methods for selecting regularization parameter were tested, and two experiments were implemented. The first experiment was carried out on a cubic polypropylene whose six faces were free to air, and the second experiment on a cubic polypropylene whose temperature of one face was constant. The inner heat sources and temperature field of the polypropylene in these two experiments were successfully reconstructed.
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