A localized collocation meshless method (LCMM) for incompressible flows CFD modeling with applications to transient hemodynamics
Abbreviated Journal Title
Eng. Anal. Bound. Elem.
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
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.
Engineering Analysis with Boundary Elements
"A localized collocation meshless method (LCMM) for incompressible flows CFD modeling with applications to transient hemodynamics" (2009). Faculty Bibliography 2000s. 1514.