Numerical solution of thermal convection problems using the multidomain boundary element method

W. F. Florez, H. Power, F. Chejne

    Research output: Contribution to journalArticlepeer-review

    16 Scopus citations

    Abstract

    The multidomain dual reciprocity method (MD-DRM) has been effectively applied to the solution of two-dimensional thermal convection problems where the momentum and energy equations govern the motion of a viscous fluid. In the proposed boundary integral method the domain integrals are transformed into equivalent boundary integrals by the dual reciprocity approach applied in a subdomain basis. On each subregion or domain element the integral representation formulas for the velocity and temperature are applied and discretised using linear continuous boundary elements, and the equations from adjacent subregions are matched by additional continuity conditions. Some examples showing the accuracy, the efficiency and flexibility of the proposed method are presented.

    Original languageEnglish
    Pages (from-to)469-489
    Number of pages21
    JournalNumerical Methods for Partial Differential Equations
    Volume18
    Issue number4
    DOIs
    StatePublished - Jul 2002

    Keywords

    • Boundary element method
    • Domain decomposition
    • Dual reciprocity
    • Momentum and energy equations

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