Finite element modeling of near-wall mass transport in cardiovascular flows

International Journal for Numerical Methods in Biomedical Engineering
Kirk B HansenShawn C Shadden

Abstract

Many cardiovascular processes involve mass transport between blood and the vessel wall. Finite element methods are commonly used to numerically simulate these processes. Cardiovascular mass transport problems are typically characterized by high Péclet numbers, requiring fine near-wall mesh resolution as well as the use of stabilization techniques to avoid numerical instabilities. In this work, we develop a set of guidelines for solving high-Péclet-number near-wall mass transport problems using the finite element method. We use a steady, idealized test case to investigate the required mesh resolution and finite element basis order to accurately capture near-wall concentration boundary layers, as well as the performance of several commonly used stabilization techniques. Linear tetrahedral meshes were found to outperform quadratic tetrahedral meshes of equivalent degrees of freedom, and the commonly used discontinuity-capturing stabilization technique was found to be overly diffusive for these types of problems. Best practices derived from the idealized test case were then applied to a typical patient-specific vascular blood flow modeling application, where it was found that the commonly applied technique of avoiding numerical dif...Continue Reading

References

Jan 4, 1998·Journal of Biomechanical Engineering·J A Moore, C R Ethier
Jun 28, 2002·Annals of Biomedical Engineering·C Ross Ethier
Mar 26, 2003·Annual Review of Biomedical Engineering·John M Tarbell
Jun 3, 2006·Arteriosclerosis, Thrombosis, and Vascular Biology·James J Hathcock
Apr 17, 2008·Annals of Biomedical Engineering·Andrew Comerford, Tim David
Sep 7, 2012·Physics of Fluids·Amirhossein Arzani, Shawn C Shadden
Sep 21, 2013·Physics of Fluids·Mahdi Esmaily-MoghadamAlison L Marsden
Aug 25, 2015·Biomechanics and Modeling in Mechanobiology·Kirk B Hansen, Shawn C Shadden
Mar 27, 2016·American Journal of Physiology. Heart and Circulatory Physiology·Jung Hee SeoRajat Mittal
Nov 20, 2016·Biomechanics and Modeling in Mechanobiology·Amirhossein ArzaniShawn C Shadden
Jan 6, 2018·Biomechanics and Modeling in Mechanobiology·Rodrigo Méndez RojanoFranck Nicoud

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Citations

Dec 11, 2019·International Journal for Numerical Methods in Biomedical Engineering·Amirhossein Arzani
Jan 31, 2021·Journal of Biomechanics·Mohammadreza Soltany SadrabadiAmirhossein Arzani
Apr 8, 2019·Journal of Biomechanics·Mirza Md Symon Reza, Amirhossein Arzani
Nov 7, 2020·Journal of Biomechanical Engineering·Mostafa MahmoudiAmirhossein Arzani

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