Skip to main content

Numeric Simulation of Fluid–Structure Interaction in the Aortic Arch

  • Conference paper
  • First Online:
Computational Biomechanics for Medicine

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 kε / kω 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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Westerhof, N., Lankhaar, J., Westerhof, B.: The arterial windkessel. Med. Biol. Eng. Comput. 47(2), 131–141 (2009)

    Article  Google Scholar 

  2. 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)

    Article  MathSciNet  MATH  Google Scholar 

  3. 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)

    Article  Google Scholar 

  4. 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)

    Google Scholar 

  5. 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)

    Article  Google Scholar 

  6. 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)

    Article  Google Scholar 

  7. Fung, Y.C.: Biomechanics: Mechancial Properties of Living Tissues, 2nd edn. Springer, New York (1993)

    Google Scholar 

  8. Menter, F.R.: Improved two-equation k-omega turbulence models for aerodynamic flows. NASA STI/Recon Technical Report N 93, 22809 (1992)

    Google Scholar 

  9. Menter, F.R.: Two-equation eddy-viscosity turbulence models for engineering applications, AIAA Journal., 32(8), 1598–1605 (1994)

    Article  Google Scholar 

  10. 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)

    Article  Google Scholar 

  11. Wilcox, D.: Multiscale model for turbulent flows. AIAA 24th Aerospace Sciences Meeting, Reno, Nevada, pp. 1311–1320 (1986)

    Google Scholar 

  12. 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)

    Article  Google Scholar 

  13. 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)

    Article  Google Scholar 

  14. Levick, J.: An Introduction to Cardiovascular Physiology, 4th edn. Arnold, Great Britain (2003)

    Google Scholar 

  15. 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)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Stephen Tullis .

Editor information

Editors and Affiliations

Rights and permissions

Reprints 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)

Publish with us

Policies and ethics