English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We present an efficient and accurate immersed boundary (IB) finite element(FE) method for internal flow problems with complex geometries (e.g., bloodflow in the vascular system). In this study, we use a voxelized flow domain(discretized with hexahedral and tetrahedral elements) instead of a box domain,which is frequently used in IB methods. The proposed method utilizes thewell-established incremental pressure correction scheme (IPCS) FE solver, andthe boundary condition-enforced IB (BCE-IB) method to numerically solve thetransient, incompressible Navier--Stokes flow equations. We verify the accuracyof our numerical method using the analytical solution for the Poiseuille flowin a cylinder, and the available experimental data (laser Doppler velocimetry)for the flow in a three-dimensional 90{\deg} angle tube bend. We furtherexamine the accuracy and applicability of the proposed method by consideringflow within complex geometries, such as blood flow in aneurysmal vessels andthe aorta, flow configurations that would otherwise be difficult to solve bymost IB methods. Our method offers high accuracy, as demonstrated by theverification examples, and high applicability, as demonstrated through thesolution of blood flow within complex geometry. The proposed method isefficient, since it is as fast as the traditional finite element method used tosolve the Navier--Stokes flow equations, with a small overhead (not more than5$\%$) due to the numerical solution of a linear system formulated for the IBmethod.

A voxelized immersed boundary (VIB) finite element method for accurate and efficient blood flow simulation