Title

Characterization of space dependent thermal conductivity with a BEM-based genetic algorithm

Authors

Authors

E. Divo; A. Kassab;F. Rodriguez

Comments

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Abbreviated Journal Title

Numer. Heat Tranf. A-Appl.

Keywords

BOUNDARY INTEGRAL-EQUATION; IR-CAT METHOD; HEAT-CONDUCTION; INVERSE; PROBLEM; STEADY-STATE; SUBSURFACE CAVITIES; ELEMENT METHOD; TRANSIENT; HYDROLOGY; MEDIA; Thermodynamics; Mechanics

Abstract

An inverse boundary element method is developed to characterize the spatially dependent conductivity k(x) of heterogeneous materials. Surface measurements at exposed boundaries serve as additional input to a genetic algorithm (GA) minimizing a regularized functional measuring the difference between observed and boundary element method (BEM)-predicted surface temperatures under current conductivity estimates. Analytical integration for a given estimate of k(x) provides explicit evaluation of influence coefficients, and series expansions are used to approximate integrands in expressions for these coefficients. Numerical integration is performed just once, a significant speedup in updates of the functional in evolution of the GA.

Journal Title

Numerical Heat Transfer Part a-Applications

Volume

37

Issue/Number

8

Publication Date

1-1-2000

Document Type

Article

Language

English

First Page

845

Last Page

875

WOS Identifier

WOS:000087995000003

ISSN

1040-7782

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