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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
- 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.
- Subjects :
- Fluid-Structure Interaction
0206 medical engineering
Biomedical Engineering
Pulsatile flow
fluid-structure interaction
02 engineering and technology
Kinematics
030204 cardiovascular system & hematology
Domain (mathematical analysis)
Article
Momentum
03 medical and health sciences
0302 clinical medicine
impedance boundary condition
Blood Flow
Fluid–structure interaction
Scale analysis (mathematics)
blood flow
Animals
Humans
Coupled-Momentum Method
[PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph]
[PHYS.MECA.BIOM]Physics [physics]/Mechanics [physics]/Biomechanics [physics.med-ph]
Molecular Biology
Physics
Impedance Boundary Condition
[PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Mechanics of the fluids [physics.class-ph]
Applied Mathematics
Attenuation
Linear elasticity
Verification
Mechanics
020601 biomedical engineering
Womersley Deformable Wall Solution
Carotid Arteries
Computational Theory and Mathematics
Modeling and Simulation
Pulsatile Flow
Blood Circulation
Womersley Deformable Wall solution
verification
coupled-momentum method
Software
Algorithms
Blood Flow Velocity
Subjects
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⟩