Impact of turbulence modeling on the simulation of blood flow in aortic coarctation

Author:

Katz Sarah1ORCID,Caiazzo Alfonso1ORCID,Moreau Baptiste1,Wilbrandt Ulrich1,Brüning Jan2,Goubergrits Leonid23,John Volker14

Affiliation:

1. Numerical Mathematics and Scientific Computing Research Group Weierstrass Institute for Applied Analysis and Stochastics (WIAS) Berlin Germany

2. Deutsches Herzzentrum der Charité, Institute of Computer‐assisted Cardiovascular Medicine Charité – Universitätsmedizin Berlin, corporate member of Freie Universität Berlin and Humboldt Universität zu Berlin Berlin Germany

3. Einstein Center Digital Future Berlin Germany

4. Department of Mathematics and Computer Science Freie Universität Berlin Berlin Germany

Abstract

AbstractNumerical simulations of pulsatile blood flow in an aortic coarctation require the use of turbulence modeling. This paper considers three models from the class of large eddy simulation (LES) models (Smagorinsky, Vreman, ‐model) and one model from the class of variational multiscale models (residual‐based) within a finite element framework. The influence of these models on the estimation of clinically relevant biomarkers used to assess the degree of severity of the pathological condition (pressure difference, secondary flow degree, normalized flow displacement, wall shear stress) is investigated in detail. The simulations show that most methods are consistent in terms of severity indicators such as pressure difference and stenotic velocity. Moreover, using second‐order velocity finite elements, different turbulence models might lead to considerably different results concerning other clinically relevant quantities such as wall shear stresses. These differences may be attributed to differences in numerical dissipation introduced by the turbulence models.

Funder

Deutsche Forschungsgemeinschaft

Publisher

Wiley

Subject

Applied Mathematics,Computational Theory and Mathematics,Molecular Biology,Modeling and Simulation,Biomedical Engineering,Software

Reference42 articles.

1. Magnetic Resonance Imaging Predictors of Coarctation Severity

2. 2018 AHA/ACC guideline for the Management of Adults with Congenital Heart Disease: a report of the American College of Cardiology/American Heart Association task force on clinical practice guidelines;Stout KK;Circulation,2019

3. 2014 ESC Guidelines on the diagnosis and treatment of aortic diseases

4. MRI-based computational fluid dynamics for diagnosis and treatment prediction: Clinical validation study in patients with coarctation of aorta

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