Shape Identification by Inverse Heat Transfer Method

Abstract

The aim of this study is to investigate the performance of the inverse heat transfer method in application to the shape identification problem. The approach is constructed by combining the curvilinear grid generation scheme, the direct problem solver, the conjugate gradient optimization method, and the redistribution method. A number of practical cases are considered, in which shape identification for an inner void within a solid body based on the data of the outer surface temperature of the solid body is performed. These cases are divided into five kinds of geometrical configurations. Results show that the profile of the inner void can be identified by using the inverse heat transfer approach, and the accuracy of the shape identification is dependent on the uncertainty of the outer surface temperature data, the Biot number, size of the inner void, and the geometrical configuration as well.