Article ID Journal Published Year Pages File Type
6917249 Computer Methods in Applied Mechanics and Engineering 2015 40 Pages PDF
Abstract
Motivated by its applicability to model blood flow in the cardiovascular system, in this work we propose a numerical approximation of the Navier-Stokes equations maintaining comparable accuracy with traditional finite element methods while performing a substantial reduction in the problem size. The method is envisaged for domains in which flow phenomena exhibits a dominant axial direction. The strategy consists of combining a finite element approximation for the description of fields (velocity components and pressure) in the primary (axial) direction, while taking a polynomial spectral approximation for the description of fields across the secondary (transversal) direction. In essence, this method can be understood as an extension of the so-called hierarchical modeling (HiMod) approach. Special attention is given to domains featuring sudden constrictions/expansions and bifurcations, for which a modified spectral approximation is considered. The capabilities and potentialities of the proposed approach to simulate fluid flow phenomena in pipe-like domains are presented through several examples.
Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
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