A shape identification problem in estimating time-dependent irregular boundary configurations

Conference · Tue Jul 01 04:00:00 EDT 1997

OSTI ID:20014407

Huang, C H; Tsai, C C

A transient inverse geometry heat conduction problem (shape identification problem) by using the conjugate gradient method (CGM) and boundary element method (BEM)-based inverse algorithm is solved in the present study to estimate the unknown irregular boundary shape. In the previous work by Huang and Chao (1997), the steady-state shape identification problem has been solved successfully by using both the Levenberg-Marquadt method and conjugate gradient method. They concluded that the conjugate gradient method is better than the Levenberg-Marquardt method especially when the number of unknowns are increased. In this present extended work only the conjugate gradient method is considered since the Levenberg-Marquardt method is of no hope to solve this inverse transient shape identification problem. Results obtained by using conjugate gradient to solve this inverse moving boundary problems are justified based on the numerical experiments. One concludes that the accurate configuration can be estimated by conjugate gradient method except for the initial and final time. The reason and improvement of this singularity will be addressed in text. Finally the effects of the measurement errors to the inverse solutions are discussed.

• Research Organization: National Cheng Kung Univ., Tainan (TW)
• Sponsoring Organization: National Science Council of Republic of China
• OSTI ID: 20014407
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
99 GENERAL AND MISCELLANEOUS
ALGORITHMS
BOUNDARY CONDITIONS
BOUNDARY ELEMENT METHOD
ITERATIVE METHODS
SHAPE
THERMAL CONDUCTION
TIME DEPENDENCE