A parallel domain decomposition boundary element method approach for the solution of large-scale transient heat conduction problems

    Authors

    K. Erhart; E. Divo;A. J. Kassab

    Comments

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    Abbreviated Journal Title

    Eng. Anal. Bound. Elem.

    Keywords

    boundary elements; Laplace transform; transient heat conduction; Helmholtz equation; Stehfest transform; NUMERICAL INVERSION; LAPLACE TRANSFORM; INTEGRAL-EQUATION; MEDIA; Engineering, Multidisciplinary; Mathematics, Interdisciplinary; Applications

    Abstract

    This paper develops a parallel domain decomposition Laplace transform BEM algorithm for the solution of large-scale transient heat conduction problems. In order to tackle large problems the original domain is decomposed into a number of sub-domains, and a Laplace transform method is utilized to avoid time marching. A procedure is described which provides a good initial guess for the domain interface temperatures, and an iteration procedure is carried out to satisfy continuity of temperature and heat flux at the domain interfaces. The decomposition procedure significantly reduces the size of any single problem for the BEM, which significantly reduces the overall storage and computational burden and renders the application of the BEM to large transient conduction problems on modest computational platforms. The procedure is readily implemented in parallel and applicable to 3D problems. Moreover, as the approach described herein readily allows adaptation and integration of traditional BEM codes, it is expected that the domain decomposition approach coupled to parallel implementation should prove very competitive to alternatives proposed in the literature such as fast multipole acceleration methods that require a complete re-write of traditional BEM codes. (C) 2006 Elsevier Ltd. All rights reserved.

    Journal Title

    Engineering Analysis with Boundary Elements

    Volume

    30

    Issue/Number

    7

    Publication Date

    1-1-2006

    Document Type

    Article

    Language

    English

    First Page

    553

    Last Page

    563

    WOS Identifier

    WOS:000238970900004

    ISSN

    0955-7997

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