Iterative domain decomposition meshless method modeling of incompressible viscous flows and conjugate heat transfer

    Authors

    E. Divo;A. Kassab

    Comments

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    Abbreviated Journal Title

    Eng. Anal. Bound. Elem.

    Keywords

    meshless methods; conjugate heat transfer; parallel computing; PARTIAL-DIFFERENTIAL-EQUATIONS; COMPUTATIONAL FLUID-DYNAMICS; DATA; APPROXIMATION SCHEME; RADIAL BASIS FUNCTIONS; SCATTERED DATA; ELEMENT; METHOD; MULTIQUADRICS; SURFACE; Engineering, Multidisciplinary; Mathematics, Interdisciplinary; Applications

    Abstract

    We develop an effective domain decomposition meshless methodology for conjugate heat transfer problems modeled by convecting fully viscous incompressible fluid interacting with conducting solids. The meshless formulation for fluid flow modeling is based on a radial basis function interpolation using Hardy inverse Multiquadrics and a time-progression decoupling of the equations using a Helmholtz potential. The domain decomposition approach effectively reduces the conditioning numbers of the resulting algebraic systems, arising from convective and conduction modeling, while increasing efficiency of the solution process and decreasing memory requirements. Moreover, the domain decomposition approach is ideally suited for parallel computation. Numerical examples are presented to validate the approach by comparing the meshless solutions to finite volume method (FVM) solutions provided by a commercial CFD solver. (C) 2006 Elsevier Ltd. All rights reserved.

    Journal Title

    Engineering Analysis with Boundary Elements

    Volume

    30

    Issue/Number

    6

    Publication Date

    1-1-2006

    Document Type

    Article

    Language

    English

    First Page

    465

    Last Page

    478

    WOS Identifier

    WOS:000238670800006

    ISSN

    0955-7997

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