计算物理 ›› 2008, Vol. 25 ›› Issue (4): 463-469.

• 研究论文 • 上一篇    下一篇

金属凝固过程界面换热系数的Tikhonov正则化辨识

隋大山, 崔振山   

  1. 上海交通大学国家模具CAD工程研究中心, 上海 200030
  • 收稿日期:2007-01-22 修回日期:2007-09-11 出版日期:2008-07-25 发布日期:2008-07-25
  • 作者简介:隋大山(1972-),男,山东蓬莱,讲师,博士生,从事材料加工过程CAD/CAE和优化设计等,上海市华山路1954号上海交通大学国家模具CAD工程研究中心200030.

Tikhonov Regularization Determination of Interfacial Heat Transfer Coefficient in Metal Solidification

SUI Dashan, CUI Zhenshan   

  1. National Die & Mould CAD Engineering Research Center, Shanghai Jiaotong University, Shanghai 200030, China
  • Received:2007-01-22 Revised:2007-09-11 Online:2008-07-25 Published:2008-07-25

摘要: 金属凝固过程中,铸件与铸型间的界面换热系数是数值模拟所必需的边界条件之一.充分考虑非线性瞬态热传导过程测温数据的误差特点,根据Tikhonov正则化理论,构造合适的正则化泛函,利用Arcangeli准则和Morozov偏差原理确定正则参数,采用灵敏度系数和Newton-Raphson迭代法求解该泛函.具体的案例分析表明,该方法克服了热传导反问题的不适定性,能够保证辨识结果的稳定性和精度.与其他方法相比,随着测温误差的增大,该方法具有较高的辨识精度.

关键词: 凝固, 正则化, 反问题, 参数辨识, 灵敏度系数, 界面换热系数

Abstract: Interfacial heat transfer coefficient (IHTC) between casting and mould is an essential boundary condition in simulation of metal solidification. We present an inverse method based on Tikhonov regularization theory. A regularized functional is established and regularization parameters are deduced with Arcangeli criterion and Morozov discrepancy principle. The functional is solved by sensitivity coefficients and Newton-Raphson iteration method. The regularization method ensures stability and accuracy of determination and overcomes ill-pesedness of inverse heat conduction problems (IHCP). It shows better accuracy especially with increasing error of measurement temperature.

Key words: solidification, regularization, inverse problem, parameter determination, sensitivity coefficient, interfacial heat transfer coefficient

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