Addressing The Corner Problem In Bem Solution Of Heat-Conduction Problems

    Authors

    A. J. Kassab;R. S. Nordlund

    Comments

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    Abbreviated Journal Title

    Commun. Numer. Methods Eng.

    Keywords

    3-DIMENSIONAL ELASTOSTATICS; BOUNDARY ELEMENTS; Engineering, Multidisciplinary; Mathematics, Interdisciplinary; Applications

    Abstract

    A numerical problem which features prominently in the implementation of the boundary-element method (BEM) for the solution of heat-conduction problems arises from double-valued heat fluxes at boundary corners. This problem is readily dealt with by explicitly treating nodal heat fluxes as double-valued prior to assembly of the nodal equations. This formulation is very flexible as it also permits imposing discontinuous thermal conditions at any boundary node. However, at corner nodes where temperature only is prescribed, the scheme leads to two unknowns, while only one nodal BEM equation is available there. An additional equation which closely follows the previous work of Walker and Fenner is derived for these nodes, and this provides sufficient information to resolve the upstream and downstream values of the heat flux at the temperature node. The additional equation is general, is free of heuristic constraints, and is applicable through the wide range of acute, shallow, obtuse and re-entrant angles encountered in practice. Numerical examples are used to compare the present method with the Walker and Fenner approach and with analytical solutions. Results indicate both improved accuracy and generality, thus validating the present method.

    Journal Title

    Communications in Numerical Methods in Engineering

    Volume

    10

    Issue/Number

    5

    Publication Date

    1-1-1994

    Document Type

    Article

    Language

    English

    First Page

    385

    Last Page

    392

    WOS Identifier

    WOS:A1994NP45100003

    ISSN

    1069-8299

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