A localized collocation meshless method (LCMM) for incompressible flows CFD modeling with applications to transient hemodynamics

    Authors

    Z. El Zahab; E. Divo;A. J. Kassab

    Comments

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    Abbreviated Journal Title

    Eng. Anal. Bound. Elem.

    Keywords

    Meshless methods; CFD; Upwinding; Limiters; Incompressible flows; PARTIAL-DIFFERENTIAL-EQUATIONS; COMPUTATIONAL FLUID-DYNAMICS; DATA; APPROXIMATION SCHEME; DIFFUSION-PROBLEMS; EULER EQUATIONS; VISCOUS; FLOWS; CONVECTION; MULTIQUADRICS; MESHES; GRIDS; Engineering, Multidisciplinary; Mathematics, Interdisciplinary; Applications

    Abstract

    The current paper reports on the development and validation of a localized collocation meshless method (LCMM) to model laminar incompressible flows. A high order upwinding scheme was devised to dampen the numerical oscillations arising in convection-dominated flows. Subsequently, the LCMM was analytically validated and demonstrated to yield third-order accurate solutions when compared to a benchmark analytical decaying vortex solution. Numerical validations are provided by comparison with the finite volume commercial (FVM) solver Fluent 6.2. The flow geometry for the numerical validation arises from a biomedical application that consists of modeling blood flow in the interconnection between a bypass graft and an artery. Very good agreement was found between the LCMM and the FVM. (C) 2009 Elsevier Ltd. All rights reserved.

    Journal Title

    Engineering Analysis with Boundary Elements

    Volume

    33

    Issue/Number

    8-9

    Publication Date

    1-1-2009

    Document Type

    Article

    Language

    English

    First Page

    1045

    Last Page

    1061

    WOS Identifier

    WOS:000267515100006

    ISSN

    0955-7997

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