A three-dimensional inverse problem of estimating the volumetric heat generation for a composite material

A 3-D transient inverse heat conduction problem is solved in this study by using the conjugate gradient method (CGM) and the general-purpose commercia l code CFX4.2-based inverse algorithm to estimate the strength of the unkow n heat generation in a 3-D irregular composite medium. The advantage of calling the CFX4.2 code as a subroutine in the present inv erse calculation is that many difficult but practical 3-D inverse problem c an be solved under this construction because the general-purpose commercial code has the ability to solve the direct problem easily. Results obtained by using the CGM to solve this 3-D inverse problems are ju stified based on the numerical experiments with the simulated exact and ine xact measurements. It is concluded that accurate heat generation can be est imated by the CGM except for the final time. The reason and improvement of this singularity are addresses.