Input estimation method combined with the finite-element scheme to solve IHCP hollow-cylinder inverse heat conduction problems

摘要

This study presents an input estimation method combined with the finite-element scheme for solving two-dimensional, hollow-cylinder, inverse heat conduction problems (IHCPs). The finite-element scheme is employed to discretize the problem in space, allowing multidimensional problems of various geometries to be treated. With the input estimation method, comprising the Kalman filtering technique and a recursive least-squares estimator, Kalman filtering estimates the interior temperature of the hollow cylinder using a system involving noise measurement and modeling error. A recursive least-squares estimator is derived that uses the residual innovation sequence to compute the magnitude of the unknown heat flux at the inner surface. The proposed method's superiority is demonstrated using several typical heat flux cases involving a hollow-cylinder inner surface that varies with time t and axial location z. The results show that this method has stability and good accuracy.