Title

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

Authors

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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