CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2008, Vol. 25 ›› Issue (4): 463-469.

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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

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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