Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지
DOI QR코드

DOI QR Code

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

자동미분법과 Broyden 혼합법을 이용한 2차원 원통형상에서의 경계온도 역추정

  • 김기완 (한국과학기술원 대학원 항공우주공학) ;
  • 김동민 (한국과학기술원 대학원 항공우주공학) ;
  • 백승욱 (한국과학기술원 항공우주공학)
  • Published : 2006.03.01
Download PDF
⟨ Previous Next ⟩

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

References

  1. Kurpisz, K. and Nowak, A. J., 1995, Inverse Thermal System, Computational Mechanics Publication, USA, pp. 230-235
  2. Ozisik, M. N. and Orlande, H. R. B., 2000, Inverse Heat Transfer, Taylor & Francis, New York
  3. Li, H. Y., 2001, 'A Two-Dimensional Cylindrical Inverse Source Problem in Radiative Transfer,' J. Quant. Spectrosc. Radiat. Transfer, Vol. 69, pp. 403-414 https://doi.org/10.1016/S0022-4073(00)00084-4
  4. Ou, N. R. and Wu, C. Y., 2001, 'Simultaneous Estimation of Extinction Coefficient Distribution, Scattering Albedo and Phase Function of a Two-Dimensional Medium,' Int. J. Heat Mass Transfer, Vol. 45, pp. 4663-4674 https://doi.org/10.1016/S0017-9310(02)00168-0
  5. Kim, K. W., Baek, S. W., Shin, B. S., Kil, J. K. and Yeo, G. K., 2005, 'Comparison of Regularization Techniques for an Inverse Radiation Boundary Analysis,' Trans. of the KSME(B), Vol. 29, No. 8, pp. 903-910
  6. Yang, C. Y., 2003, 'Estimation of Boundary Conditions in Nonlinear Inverse Heat Conduction Problems,' J. Thermo. Heat Transfer, Vol. 17, No. 3, pp. 389-395 https://doi.org/10.2514/2.6780
  7. Chapra, S. C. and Canale, R. P., 1990, Numerical Method for Engineering, McGraw-Hill, Singapore
  8. Bischof, C., Carle, A., Khademi, P., Mauer, A. and Hovland, P., 1998, ADIFOR2.0 User's Guide (Revision D), ANL/MCS-TM-192
  9. Baek, S. W. and Kim, M. Y., 1997, 'Analysis of Radiative Heatings of a Rocket Plume Base with the Finite-Volume Method,' Int. J. Heat Mass Transfer, Vol. 40, pp. 1501-1508 https://doi.org/10.1016/S0017-9310(96)00257-8
  10. Dennis, J. E. and Schnabel, R. B., 1983, Numerical Methods for Unconstrainted Optimization and Nonlinear Equations, Prentice-Hall, New Jersey
  11. Martinez, J. M., 2000, 'Practical Quasi-Newton Methods for Solving Nonlinear Systems,' J. Comput. Applied Math., Vol. 124, pp. 97-121 https://doi.org/10.1016/S0377-0427(00)00434-9