A meshless method for conjugate heat transfer problems

    Authors

    E. Divo;A. J. Kassab

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    Abbreviated Journal Title

    Eng. Anal. Bound. Elem.

    Keywords

    meshless methods; radial-basis functions; domain decomposition; parallel; computing; MPI; heat transfer; PARTIAL-DIFFERENTIAL-EQUATIONS; RADIAL BASIS FUNCTIONS; COMPUTATIONAL; FLUID-DYNAMICS; DATA APPROXIMATION SCHEME; NAVIER-STOKES EQUATIONS; SPECTRAL ELEMENT METHOD; SCATTERED DATA; MULTIQUADRICS; Engineering, Multidisciplinary; Mathematics, Interdisciplinary; Applications

    Abstract

    Mesh reduction methods such as boundary element methods, method of fundamental solutions, and spectral methods all lead to fully populated matrices. This poses serious challenges for large-scale three-dimensional problems due to storage requirements and iterative solution of a large set of non-symmetric equations. Researchers have developed several approaches to address this issue including the class of fast-multipole techniques, use of wavelet transforms, and matrix decomposition. In this paper, we develop a domain decomposition, or the artificial sub-sectioning technique, along with a region-by-region iteration algorithm particularly tailored for parallel computation to address the coefficient matrix issue. The meshless method we employ is based on expansions using radial-basis functions (RBFs). An efficient physically based procedure provides an effective initial guess of the temperatures along the sub-domain interfaces. The iteration process converges very efficiently, offers substantial savings in memory, and features superior computational efficiency. The meshless iterative domain decomposition technique is ideally suited for parallel computation. We discuss its implementation under MPI standards on a small Windows XP PC cluster. Numerical results reveal the domain decomposition meshless methods produce accurate temperature predictions while requiring a much-reduced effort in problem preparation in comparison to other traditional numerical methods. (c) 2004 Published by Elsevier Ltd.

    Journal Title

    Engineering Analysis with Boundary Elements

    Volume

    29

    Issue/Number

    2

    Publication Date

    1-1-2005

    Document Type

    Article

    Language

    English

    First Page

    136

    Last Page

    149

    WOS Identifier

    WOS:000227780700004

    ISSN

    0955-7997

    Share

    COinS