Comparison of global and sequential methods for an inverse heat transfer problem

Abstract

This article presents a comparison between global and sequential methods to solve inverse problem related to the baking process. Both methods aim to reconstruct the wall temperature profile in the baking oven from the temperature of flux sensor (h-Monitor). The global method solves the adjoint and sensitivity equations to compute the gradient conjugate descent direction. This method contains regularization term that modifies the computation of the gradient. The sequential method computes at each time step a quasi-Newton descent direction taking into account a regularization term. This method may consider one-step or some time steps to improve the descent direction. The comparison shows that both methods perform well. However, the global method is better for noisy data and the sequential method provides satisfying results which makes it an interesting approach because of its simplicity.