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Verification of the Coupled-Momentum Method with Womersley's Deformable Wall Analytical Solution

Verification of the Coupled-Momentum Method with Womersley's Deformable Wall Analytical Solution

Authors :
Christopher J. Arthurs
Vasilina Filonova
Irene E. Vignon-Clementel
C. Alberto Figueroa
University of Michigan Medical School [Ann Arbor]
University of Michigan [Ann Arbor]
University of Michigan System-University of Michigan System
Imaging Sciences and Biomedical Engineering Division [London]
Guy's and St Thomas' Hospital [London]-King‘s College London
Numerical simulation of biological flows (REO)
Sorbonne Université (SU)-Inria de Paris
Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jacques-Louis Lions (LJLL (UMR_7598))
Université Paris Diderot - Paris 7 (UPD7)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS)
This work was supported bythe National Institute of Health [grant U01 HL135842]
Source :
International Journal for Numerical Methods in Biomedical Engineering, International Journal for Numerical Methods in Biomedical Engineering, John Wiley and Sons, 2019, ⟨10.1002/cnm.3266⟩, Int J Numer Method Biomed Eng, International Journal for Numerical Methods in Biomedical Engineering, 2019, ⟨10.1002/cnm.3266⟩, Filonova, V, Arthurs, C J, Vignon-Clementel, I E & Figueroa, C A 2019, ' Verification of the coupled-momentum method with Womersley's Deformable Wall analytical solution ', International Journal For Numerical Methods In Biomedical Engineering . https://doi.org/10.1002/cnm.3266
Publication Year :
2019
Publisher :
HAL CCSD, 2019.

Abstract

International audience; In this paper, we perform a verification study of the Coupled-Momentum Method (CMM), a 3D fluid-structure interaction (FSI) model which uses a thin linear elastic membrane and linear kinematics to describe the mechanical behavior of the vessel wall. The verification of this model is done using Womersley's deformable wall analytical solution for pulsatile flow in a semi-infinite cylindrical vessel. This solution is, under certain premises, the analytical solution of the CMM and can thus be used for model verification. For the numerical solution, we employ an impedance boundary condition to define a reflection-free outflow boundary condition and thus mimic the physics of the analytical solution, which is defined on a semi-infinite domain. We first provide a rigorous derivation of Womersley's deformable wall theory via scale analysis. We then illustrate different characteristics of the analytical solution such as space-time wave periodicity and attenuation. Finally, we present the verification tests comparing the CMM with Womersley's theory.

Details

Language :
English
ISSN :
20407939 and 20407947
Database :
OpenAIRE
Journal :
International Journal for Numerical Methods in Biomedical Engineering, International Journal for Numerical Methods in Biomedical Engineering, John Wiley and Sons, 2019, ⟨10.1002/cnm.3266⟩, Int J Numer Method Biomed Eng, International Journal for Numerical Methods in Biomedical Engineering, 2019, ⟨10.1002/cnm.3266⟩, Filonova, V, Arthurs, C J, Vignon-Clementel, I E & Figueroa, C A 2019, ' Verification of the coupled-momentum method with Womersley's Deformable Wall analytical solution ', International Journal For Numerical Methods In Biomedical Engineering . https://doi.org/10.1002/cnm.3266
Accession number :
edsair.doi.dedup.....6efcdd50c4ca9f0f19ae9a8ab2ce16cb
Full Text :
https://doi.org/10.1002/cnm.3266⟩