RESEARCH PAPERS: Conduction Heat Transfer

A Sequential Gradient Method for the Inverse Heat Conduction Problem (IHCP)

[+] Author and Article Information
K. J. Dowding, J. V. Beck

Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824

J. Heat Transfer 121(2), 300-306 (May 01, 1999) (7 pages) doi:10.1115/1.2825980 History: Received July 09, 1997; Revised December 08, 1998; Online December 05, 2007


A sequential-in-time implementation is proposed for a conjugate gradient method using an adjoint equation approach to solve the inverse heat conduction problem (IHCP). Because the IHCP is generally ill-posed, Tikhonov regularization is included to stabilize the solution and allow for the inclusion of prior information. Aspects of the sequential gradient method are discussed and examined. Simulated one and two-dimensional test cases are evaluated to study the sequential implementation. Numerical solutions are obtained using a finite difference procedure. Results indicate the sequential implementation has accuracy comparable to the standard whole-domain solution, but in certain cases requires significantly more computational time. Benefits of the on-line nature of a sequential method may outweigh the additional computational requirements. Methods to improve the computational requirements, which make the method competitive with a whole domain solution, are given.

Copyright © 1999 by The American Society of Mechanical Engineers
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