Abstract
This paper presents a numeric simulation for a fully coupled fluid–structure interaction (FSI) of an anatomically accurate aortic arch from the aortic root immediately distal of aortic valve to the junction of the renal arteries. The aortic wall was simplified as a shell structure and assumed to be supported by virtual springs with adjustable stiffness. A structural finite element analysis of the vessel wall and a finite volume-based computational fluid dynamics model of the blood flow were used for the simulation. The blood flow was assumed to be turbulent and a k − ε / k − ω blended shear stress transport used for the turbulent flow. A pulsatile flow rate waveform (adopted from ultrasonic measurements) was prescribed at the inlet, and a pulsatile pressure waveform was imposed at the outlets. The wall shear stress and three-dimensional flow velocity, as well as the wall deformation and von-Mises stress distributions on the aortic wall over a cardiac cycle are presented. The flow pattern in the aortic arch is laminar at the ascending phase of systole but turbulent flow develops during the descending phase of systole. This phenomenon is consistent with in vivo measurements in canine and human models. It is concluded that the fluid–structure interaction model can provide physiological insight into the biomechanics of the aortic arch.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Westerhof, N., Lankhaar, J., Westerhof, B.: The arterial windkessel. Med. Biol. Eng. Comput. 47(2), 131–141 (2009)
Figueroa, C.A., Baek, S., Taylor, C.A., Humphrey, J.D.: A computational framework for fluid-solid growth modeling in cardiovascular simulations. Comput. Meth. Appl. Mech. Eng. 198(45-46), 3583–3602 (2009)
Taylor, C.A., Hughes, T.J.R., Zarins, C.K.: Finite element modeling of Three-Dimensional pulsatile flow in the abdominal aorta: Relevance to atherosclerosis. Ann. Biomed. Eng. 26(6), 975–987 (1998)
Ho, H., Sands, G., Schmid, H., Mithraratne, K., Mallinson, G., Hunter, P.: A hybrid 1D and 3D approach to hemodynamics modelling for a Patient-Specific cerebral vasculature and aneurysm. In: Medical Image Computing and Computer-Assisted Intervention - MICCAI, 323–330 (2009)
Gao, F., Watanabe, M., Matsuzawa, T.: Stress analysis in a layered aortic arch model under pulsatile blood flow. Biomed. Eng. OnLine 5(1), 25 (2006)
Gerbeau, J., Vidrascu, M., Frey, P.: Fluid structure interaction in blood flows on geometries based on medical imaging. Comput. Struct. 83(2-3), 155–165 (2005)
Fung, Y.C.: Biomechanics: Mechancial Properties of Living Tissues, 2nd edn. Springer, New York (1993)
Menter, F.R.: Improved two-equation k-omega turbulence models for aerodynamic flows. NASA STI/Recon Technical Report N 93, 22809 (1992)
Menter, F.R.: Two-equation eddy-viscosity turbulence models for engineering applications, AIAA Journal., 32(8), 1598–1605 (1994)
Tan, F., Borghi, A., Wooda, R.M.N., Thom, S., Xu, X.: Analysis of flow patterns in a patient-specific thoracic aortic aneurysm model. Comput. Struct. 87, 680–690 (2009)
Wilcox, D.: Multiscale model for turbulent flows. AIAA 24th Aerospace Sciences Meeting, Reno, Nevada, pp. 1311–1320 (1986)
Giannakoulas, G., Giannoglou, G., Soulis, J., Farmakis, T., Papadopoulou, S., Parcharidis, G., Louridas, G.: A computational model to predict aortic wall stresses in patients with systolic arterial hypertension. Med. Hypotheses 65, 1191–1195 (2005)
Olufsen, M.E., Peskin, C.S., Kim, W.Y., Pedersen, E.M., Nadim, A., Larsen, J.: Numerical Simulation and Experimental Validation of Blood Flow in Arteries with Structured-Tree Outflow Conditions. Ann. Biomed. Eng. 28(11), 1281–1299 (2000)
Levick, J.: An Introduction to Cardiovascular Physiology, 4th edn. Arnold, Great Britain (2003)
Morbiducci, U., Ponzini, R., Rizzo, G., Cadioli, M., Esposito, A., De Cobelli, F., Del Maschio, A., Montevecchi, F., Redaelli, A.: In vivo quantification of helical blood flow in human aorta by time-resolved three-dimensional cine phase contrast magnetic resonance imaging. Ann. Biomed. Eng. 37(3), 516–531 (2009)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media New York
About this paper
Cite this paper
Brown, S., Wang, J., Ho, H., Tullis, S. (2013). Numeric Simulation of Fluid–Structure Interaction in the Aortic Arch. In: Wittek, A., Miller, K., Nielsen, P. (eds) Computational Biomechanics for Medicine. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6351-1_3
Download citation
DOI: https://doi.org/10.1007/978-1-4614-6351-1_3
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-6350-4
Online ISBN: 978-1-4614-6351-1
eBook Packages: EngineeringEngineering (R0)