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

    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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