Finite Element Analysis of Pulsatile Blood Flow in Elastic Artery

Abstract

New hybrid Eulerian/Lagrangian model is presented accounting for the two-way coupling between the pulsating blood flow and the artery deformability. The Streamline-Upwind/Petrove-Galerkin (SUPG) finite element technique is used to treat for the convective nature of the momentum equation. The deformability of the artery walls is accounted for by treating the wall as an elastic beam under transverse unsteady distributed load, namely the fluid pressure. The results of the present contribution compare well against the available published data.

Simplified level set method coupled to stabilised finite element flow solver for moving boundaries

“…There are different techniques in the literature addressing these kinds of simulations. The common characteristic of these techniques is that they involve mesh motion ( Elbanhawy et al, 2019). One approach which makes use of the Arbitrary Lagrangian-Eulerian (ALE) description of a continuum is to move the mesh nodes according to the fitted body motion with local mesh refinement when the mesh distortion is large (Baum et al, 1994;Hassan et al, 2007).…”

“…However, there are different challenges found in ALE methods, some of which are the element distortions accompanied by mesh motion which affect the solution accuracy. If the distortions are small then local refinement could be sufficient to fix the element quality (Elbanhawy et al, 2019;Baum et al, 1994;Hassan et al, 2007), but if the distortions are large then re-meshing has to be used which is accompanied by loss of accuracy due to the interpolation losses between the old and the new meshes (Baker, 2002;Shontz and Vavasis, 2003;Liao and Xue, 2006;Dobrzynski and Frey, 2008;Compere et al, 2010).…”