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Fluid-structure interaction simulation of pulse propagation in arteries : numerical pitfalls and hemodynamic impact of a local stiffening

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  • FWO project 3G008509
Abstract
When simulating the propagation of a pressure pulse in arteries, the discretization parameters (i.e. the time step size and the grid size) need to be chosen carefully in order to avoid a decrease in amplitude of the traveling wave due to numerical dissipation. In this paper the effect of numerical dissipation is examined using a numerical fluid-structure interaction (FSI) model of the pulse propagation in an artery. More insight in the influence of the temporal and spatial resolution of the wave on the results of these simulations is gained using an analytical study in which the scalar linear one-dimensional transport equation is considered. Although this model does not take into account the full complexity of the problem under consideration, the results can be used as a guidance for the selection of the numerical parameters. Furthermore, this analysis illustrates the difference in accuracy that can be obtained using a second-order implicit time integration scheme instead of a first-order scheme. The results from the analytical and numerical studies are subsequently used to determine the settings necessary to obtain a grid and time step converged simulation of the wave propagation and reflection in a simplified model of an aorta with repaired aortic coarctation. This FSI model allows to study the hemodynamic impact of a stiff segment and demonstrates that the presence of a stiff segment has an important impact on a short pressure pulse, but has almost no influence on a physiological pressure pulse. This phenomenon is explained by analyzing the reflections induced by the stiff segment.
Keywords
Wave propagation, Aortic coarctation, WAVE REFLECTION, AORTIC COARCTATION, STENTS, Pulse wave analysis, MODEL, Fluid-structure interaction, Numerical dissipation

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MLA
Taelman, Liesbeth, Joris Degroote, Abigaïl Swillens, et al. “Fluid-structure Interaction Simulation of Pulse Propagation in Arteries : Numerical Pitfalls and Hemodynamic Impact of a Local Stiffening.” Ed. Mark Kachanov & K Rajagopal. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE 77 (2014): 1–13. Print.
APA
Taelman, L., Degroote, J., Swillens, A., Vierendeels, J., & Segers, P. (2014). Fluid-structure interaction simulation of pulse propagation in arteries : numerical pitfalls and hemodynamic impact of a local stiffening. (M. Kachanov & K. Rajagopal, Eds.)INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 77, 1–13.
Chicago author-date
Taelman, Liesbeth, Joris Degroote, Abigaïl Swillens, Jan Vierendeels, and Patrick Segers. 2014. “Fluid-structure Interaction Simulation of Pulse Propagation in Arteries : Numerical Pitfalls and Hemodynamic Impact of a Local Stiffening.” Ed. Mark Kachanov and K Rajagopal. International Journal of Engineering Science 77: 1–13.
Chicago author-date (all authors)
Taelman, Liesbeth, Joris Degroote, Abigaïl Swillens, Jan Vierendeels, and Patrick Segers. 2014. “Fluid-structure Interaction Simulation of Pulse Propagation in Arteries : Numerical Pitfalls and Hemodynamic Impact of a Local Stiffening.” Ed. Mark Kachanov and K Rajagopal. International Journal of Engineering Science 77: 1–13.
Vancouver
1.
Taelman L, Degroote J, Swillens A, Vierendeels J, Segers P. Fluid-structure interaction simulation of pulse propagation in arteries : numerical pitfalls and hemodynamic impact of a local stiffening. Kachanov M, Rajagopal K, editors. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE. 2014;77:1–13.
IEEE
[1]
L. Taelman, J. Degroote, A. Swillens, J. Vierendeels, and P. Segers, “Fluid-structure interaction simulation of pulse propagation in arteries : numerical pitfalls and hemodynamic impact of a local stiffening,” INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol. 77, pp. 1–13, 2014.
@article{4418063,
  abstract     = {{When simulating the propagation of a pressure pulse in arteries, the discretization parameters (i.e. the time step size and the grid size) need to be chosen carefully in order to avoid a decrease in amplitude of the traveling wave due to numerical dissipation. In this paper the effect of numerical dissipation is examined using  a numerical fluid-structure interaction (FSI) model of the pulse propagation in an artery.
More insight in the influence of the temporal and spatial resolution of the wave on the results of these simulations is gained using an analytical study in which the scalar linear one-dimensional transport equation is considered. Although this model does not take into account the full complexity of the problem under consideration, the results can be used as a guidance for the selection of the numerical parameters. Furthermore, this analysis illustrates the difference in accuracy that can be obtained using a second-order implicit time integration scheme instead of a first-order scheme. The results from the analytical and numerical studies are subsequently used to determine the settings necessary to obtain a grid and time step converged simulation of the wave propagation and reflection in a simplified model of an aorta with repaired aortic coarctation. This FSI model allows to study the hemodynamic impact of a stiff segment and demonstrates that the presence of a stiff segment has an important impact on a short pressure pulse, but has almost no influence on a physiological pressure pulse. This phenomenon is explained by analyzing the reflections induced by the stiff segment.}},
  author       = {{Taelman, Liesbeth and Degroote, Joris and Swillens, Abigail and Vierendeels, Jan and Segers, Patrick}},
  editor       = {{Kachanov, Mark and Rajagopal, K}},
  issn         = {{0020-7225}},
  journal      = {{INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE}},
  keywords     = {{Wave propagation,Aortic coarctation,WAVE REFLECTION,AORTIC COARCTATION,STENTS,Pulse wave analysis,MODEL,Fluid-structure interaction,Numerical dissipation}},
  language     = {{eng}},
  pages        = {{1--13}},
  title        = {{Fluid-structure interaction simulation of pulse propagation in arteries : numerical pitfalls and hemodynamic impact of a local stiffening}},
  url          = {{http://dx.doi.org/10.1016/j.ijengsci.2013.12.002}},
  volume       = {{77}},
  year         = {{2014}},
}

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