TY - JOUR
T1 - Direct sensitivity coefficient method for solving two-dimensional inverse heat conduction problems by finite-element scheme
AU - Tseng, A. A.
AU - Chen, T. C.
AU - Zhao, F. Z.
N1 - Funding Information:
Received 17 August 1994; accepted 17 October 1994. The authors gratefully acknowledge the support to this research by the National Science Foundation under grant no. DDM-9201831 and by Nippon Steel Corp. The authors also wish to express their sincere gratitude for the help rendered by Mr. Takefumi Suzuki of the Heat Processing & Fluid Technology Laboratory and Dr. Shiiichi Iguchi of Nippon Steel USA throughout the duration of this research. Thanks are also due to Professor Alan Lau of Drexel University for his valuable suggestions. Address correspondence to Professor A. A. Tseng, Department of Mechanical Engineering and Mechanics, Drexel University, Philadelphia, Pennsylvania 19104, USA.
Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.
PY - 1995
Y1 - 1995
N2 - A simple, but versatile, algorithm called the direct sensitivity coefficient (DSC) method has been developed to deal with multidimensional inverse heat conduction (IHC) problems. Different sensitivity coefficients have been used to assess the physical responses of the domain considered under unit loading conditions. The concept of the finite-element discretization has been applied to evaluate the global responses under total loading conditions. The method developed is capable of dealing with unknown surface heat flux, surface temperature, heal transfer coefficient, or any combination of them. In this article the formulation as well as the theory adopted is discussed. The finite-element procedures for solving a two-dimensional steady-state problem art specifically illustrated. Analysis for several selected benchmark problems is then presented, emphasizing accuracy estimations. Both linear and nonlinear problems are considered. Recommendations for further work are also included in this article.
AB - A simple, but versatile, algorithm called the direct sensitivity coefficient (DSC) method has been developed to deal with multidimensional inverse heat conduction (IHC) problems. Different sensitivity coefficients have been used to assess the physical responses of the domain considered under unit loading conditions. The concept of the finite-element discretization has been applied to evaluate the global responses under total loading conditions. The method developed is capable of dealing with unknown surface heat flux, surface temperature, heal transfer coefficient, or any combination of them. In this article the formulation as well as the theory adopted is discussed. The finite-element procedures for solving a two-dimensional steady-state problem art specifically illustrated. Analysis for several selected benchmark problems is then presented, emphasizing accuracy estimations. Both linear and nonlinear problems are considered. Recommendations for further work are also included in this article.
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U2 - 10.1080/10407799508914958
DO - 10.1080/10407799508914958
M3 - Article
AN - SCOPUS:0029291189
VL - 27
SP - 291
EP - 307
JO - Numerical Heat Transfer, Part B: Fundamentals
JF - Numerical Heat Transfer, Part B: Fundamentals
SN - 1040-7790
IS - 3
ER -