A Finite Element Formulation for the Inverse Estimation of an Isothermal Boundary in Two-Dimensional Slab

- Journal title : Transactions of the Korean Society of Mechanical Engineers B
- Volume 25, Issue 6, 2001, pp.829-836
- Publisher : The Korean Society of Mechanical Engineers
- DOI : 10.22634/KSME-B.2001.25.6.829

Title & Authors

A Finite Element Formulation for the Inverse Estimation of an Isothermal Boundary in Two-Dimensional Slab

Kim, Seon-Gyeong; Heo, Hun; Lee, U-Il;

Kim, Seon-Gyeong; Heo, Hun; Lee, U-Il;

Abstract

A dependable boundary reconstruction technique is proposed. The finite element method is used for the analysis of the direct heat conduction problem to realize the deformable grid system. An appropriate strategy for grid update is suggested. A complete sensitivity analysis is performed to obtain the derivatives required for restoration of the optimal boundary. With the result of the sensitivity analysis, the unknown boundary is sought using the sequential quadratic programming. The method is applied to reconstruction of boundaries with sinusoidal, step, and cavity form. The overall performance of the proposed method is examined by comparison between the estimated the exact boundaries.

Keywords

Boundary Location;Inverse Heat Transfer Problem;Finte Element Method;

Language

Korean

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