This paper presents a method by which boundary inverse heat conduction problems can be analysed. A space marching algorithm is used for formulating and solving parabolic inverse heat conduction problems. The method allows one to estimate the boundary condition (surface temperature and surface heat flux) of a body based on the temperature history at a sesor located inside the body. The method does not require any stabilization method when exact data are used to solve the problem. With using noisy data the accuracy and stability of the results are increased by: square smoothing noisy data using Savitzky-Golay digital filters, square replacing the parabolic differential inverse heat conduction by the hyperbolic equation. The solution of numerical examples shows that a combination of the digital filter with the hyperbolic approximation increases the stability of the results of the inverse heat conduction problem without loss of resolution. The accuracy of the method is verified by comparison with the solution of a direct problem.
展开▼
