Multi-domain mass conservative dual reciprocity method for the solution of the non-Newtonian Stokes equations

W. F. Florez, H. Power

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    8 Scopus citations

    Abstract

    The dual reciprocity method (DRM) is a technique to transform the domain integrals that appear in the boundary element method into equivalent boundary integrals. In this approach the non-linear terms are approximated by an interpolation applied to the non-Newtonian stress tensor for an inelastic fluid. In the present paper we introduce a radial basis function interpolation scheme for the velocity field that satisfies the continuity equation (mass conservative interpolation). The proposed method performs better than the classical interpolation used in the DRM approach to represent such field. The new scheme together with a sub-domain variation of the DRM yields a more accurate solution for inelastic non-Newtonian problems.

    Original languageEnglish
    Pages (from-to)397-419
    Number of pages23
    JournalApplied Mathematical Modelling
    Volume26
    Issue number3
    DOIs
    StatePublished - Mar 2002

    Keywords

    • Boundary elements
    • Dual reciprocity
    • Mass conservative interpolation
    • Non-Newtonian fluids

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