Application of Multi Block Method for Solution of Two-dimensional Transient Inverse Heat Conduction Problems
نویسندگان
چکیده
In this study a multi block procedure is implemented to solve accurately two-dimensional transient Inverse Heat Conduction Problems (IHCPs). The multi block method is implemented for geometric decomposition of physical domain into regions with blocked-interface structured grids. The Finite Element Method (FEM) with Galerkin weighting function is employed for direct solution of transient heat conduction equation. Inverse algorithms used in this research are iterative Levenberg-Marquardt and adjoint conjugate gradient techniques for parameter estimation. To have fewer numbers of unknown coefficients for estimation, polynomials are used for parameterization of the source term. The measured transient temperature data needed in the inverse solution are given by exact or noisy data. Estimations of unknown time varying strength of heat sources are obtained for the solution of two-dimensional transient IHCPs and the results of the present study for coefficients of unknown heat source functions are compared to those of exact heat sources.
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