An Iterative Cvbem Solution Of Nonlinear Heat-Transfer Problems

    Authors

    A. J. Kassab;S. Chesla

    Comments

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    Abbreviated Journal Title

    Eng. Anal. Bound. Elem.

    Keywords

    Complex Variable Boundary Element Method; Nonlinear Heat Transfer; Iterative Methods; Boundary-Element Method; Multiply Connected Domains; Potential Problems; Engineering, Multidisciplinary; Mathematics, Interdisciplinary; Applications

    Abstract

    An iterative technique is presented to extend the applicability of the CVBEM to the solution of heat transfer problems with nonlinear radiative boundary conditions. Additionally, nonlinearities arising from the variation of the thermal conductivity with temperature are addressed by means of the Kirchhoff transform. Simple substitution with underrelaxation leads to rapid convergence of the solution. Example problems are presented. The iterative approach is numerically validated and the CVBEM is shown to yield very accurate solutions in few iterations.

    Journal Title

    Engineering Analysis with Boundary Elements

    Volume

    11

    Issue/Number

    1

    Publication Date

    1-1-1993

    Document Type

    Article

    Language

    English

    First Page

    67

    Last Page

    75

    WOS Identifier

    WOS:A1993KX73500009

    ISSN

    0955-7997

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