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http://dx.doi.org/10.3795/KSME-B.2006.30.3.270

Inverse Boundary Temperature Estimation in a Two-Dimensional Cylindrical Enclosure Using Automatic Differentiation and Broyden Combined Method  

Kim Ki-Wan (한국과학기술원 대학원 항공우주공학)
Kim Dong-Min (한국과학기술원 대학원 항공우주공학)
Baek Seung-Wook (한국과학기술원 항공우주공학)
Publication Information
Transactions of the Korean Society of Mechanical Engineers B / v.30, no.3, 2006 , pp. 270-277 More about this Journal
Abstract
Inverse radiation problems were solved for estimating boundary temperature distribution in a way of function estimation approach in an axisymmetric absorbing, emitting and scattering medium, given the measured radiative data. In order to reduce the computational time fur the calculation of sensitivity matrix, automatic differentiation and Broyden combined method were adopted, and their computational precision and efficiency were compared with the result obtained by finite difference approximation.. In inverse analysis, the effects of the precision of sensitivity matrix, the number of measurement points and measurement error on the estimation accuracy had been inspected using quasi-Newton method as an inverse method. Inverse solutions were validated with the result acquired by additional inverse methods of conjugate-gradient method or Levenberg-Marquardt method.
Keywords
Inverse Radiation Boundary Problem; Automatic Differentiation; Broyden Combined Method; Cylindrical Enclosure; Function Estimation;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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