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

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 analyt...

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Veröffentlicht in:Engineering analysis with boundary elements 2009-08, Vol.33 (8), p.1045-1061
Hauptverfasser: Zahab, Z. El, Divo, E., Kassab, A.J.
Format: Artikel
Sprache:eng
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Zusammenfassung: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 inter-connection between a bypass graft and an artery. Very good agreement was found between the LCMM and the FVM.
ISSN:0955-7997
1873-197X
DOI:10.1016/j.enganabound.2009.03.006