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Computational Mechanics

, Volume 54, Issue 4, pp 1055–1071 | Cite as

Fluid–structure interaction analysis of bioprosthetic heart valves: significance of arterial wall deformation

  • Ming-Chen HsuEmail author
  • David Kamensky
  • Yuri Bazilevs
  • Michael S. Sacks
  • Thomas J. R. Hughes
Original Paper

Abstract

We propose a framework that combines variational immersed-boundary and arbitrary Lagrangian–Eulerian methods for fluid–structure interaction (FSI) simulation of a bioprosthetic heart valve implanted in an artery that is allowed to deform in the model. We find that the variational immersed-boundary method for FSI remains robust and effective for heart valve analysis when the background fluid mesh undergoes deformations corresponding to the expansion and contraction of the elastic artery. Furthermore, the computations presented in this work show that the arterial wall deformation contributes significantly to the realism of the simulation results, leading to flow rates and valve motions that more closely resemble those observed in practice.

Keywords

Fluid–structure interaction Bioprosthetic heart valve Variational immersed-boundary method Arbitrary Lagrangian–Eulerian formulation Isogeometric analysis Arterial wall deformation 

Notes

Acknowledgments

Y. Bazilevs was supported by the NSF CAREER Award No. 1055091. T. J. R. Hughes was supported by grants from the Office of Naval Research (N00014-08-1-0992), the National Science Foundation (CMMI-01101007), and SINTEF (UTA10-000374) with the University of Texas at Austin. M. S. Sacks was supported by NIH/NHLBI grants R01 HL108330 and HL119297, and FDA contract HHSF223201111595P. D. Kamensky was partially supported by the CSEM Graduate Fellowship. We thank the Texas Advanced Computing Center (TACC) at the University of Texas at Austin for providing HPC resources that have contributed to the research results reported in this paper.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Ming-Chen Hsu
    • 1
    Email author
  • David Kamensky
    • 2
  • Yuri Bazilevs
    • 3
  • Michael S. Sacks
    • 2
  • Thomas J. R. Hughes
    • 2
  1. 1.Department of Mechanical EngineeringIowa State UniversityAmesUSA
  2. 2.Institute for Computational Engineering and SciencesThe University of Texas at AustinAustinUSA
  3. 3.Department of Structural Engineering University of California, San DiegoLa JollaUSA

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