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The influence of the upstream boundary condition in the numerical simulation of the opening of an aortic BMHV

Sebastiaan Annerel (UGent) , Joris Degroote (UGent) , Tom Claessens (UGent) , Peter Van Ransbeeck (UGent) , Patrick Segers (UGent) , Pascal Verdonck (UGent) and Jan Vierendeels (UGent)
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Abstract
In this paper, the influence of the upstream boundary condition for the numerical simulation of an aortic Bileaflet Mechanical Heart Valve (BMHV) is studied. Two types of upstream boundary conditions are discussed and evaluated. First, an inflow velocity profile is imposed at the inlet of the valve. Secondly, a geometrical boundary condition is used, which implies that the flow rate is governed by the geometrical contraction of the left-ventricle (LV). Both boundary conditions are used to simulate a 3D case with the same BMHV. The change in time of the LV volume is calculated such that the flow rate through the valve is identical in both cases. The dynamics of the BMHV are modelled using fluid-structure interaction (FSI) and only the opening phase of the valve is simulated. The simulations show that although the results for the two cases are similar, differences occur in the leaflet movement. In particular, when using the velocity profile, the leaflets impact the blocking mechanism at their open position with a 25% larger angular velocity. Therefore, when one wants to simulate the dynamics of such an impact, the upstream boundary condition needs to be chosen carefully.
Keywords
FSI, Left-ventricle, Bileaflet Mechanical Heart Valve, Boundary condition

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Chicago
Annerel, Sebastiaan, Joris Degroote, Tom Claessens, Peter Van Ransbeeck, Patrick Segers, Pascal Verdonck, and Jan Vierendeels. 2011. “The Influence of the Upstream Boundary Condition in the Numerical Simulation of the Opening of an Aortic BMHV.” In Conference Proceedings CMBE11, ed. Perumal Nithiarasu, Rainald Löhner, Raoul van Loon, Igor Sazonov, and Xianghua Xie, 107–110. Alexandria, VA, USA: All American Printing.
APA
Annerel, S., Degroote, J., Claessens, T., Van Ransbeeck, P., Segers, P., Verdonck, P., & Vierendeels, J. (2011). The influence of the upstream boundary condition in the numerical simulation of the opening of an aortic BMHV. In Perumal Nithiarasu, R. Löhner, R. van Loon, I. Sazonov, & X. Xie (Eds.), Conference proceedings CMBE11 (pp. 107–110). Presented at the 2nd International Conference on Computational & Mathematical Biomedical Engineering (CMBE - 2011), Alexandria, VA, USA: All American Printing.
Vancouver
1.
Annerel S, Degroote J, Claessens T, Van Ransbeeck P, Segers P, Verdonck P, et al. The influence of the upstream boundary condition in the numerical simulation of the opening of an aortic BMHV. In: Nithiarasu P, Löhner R, van Loon R, Sazonov I, Xie X, editors. Conference proceedings CMBE11. Alexandria, VA, USA: All American Printing; 2011. p. 107–10.
MLA
Annerel, Sebastiaan, Joris Degroote, Tom Claessens, et al. “The Influence of the Upstream Boundary Condition in the Numerical Simulation of the Opening of an Aortic BMHV.” Conference Proceedings CMBE11. Ed. Perumal Nithiarasu et al. Alexandria, VA, USA: All American Printing, 2011. 107–110. Print.
@inproceedings{1257438,
  abstract     = {In this paper, the influence of the upstream boundary condition for the numerical simulation of an aortic Bileaflet Mechanical Heart Valve (BMHV) is studied. Two types of upstream boundary conditions are discussed and evaluated. First, an inflow velocity profile is imposed at the inlet of the valve. Secondly, a geometrical boundary condition is used, which implies that the flow rate is governed by the geometrical contraction of the left-ventricle (LV). Both boundary conditions are used to simulate a 3D case with the same BMHV. The change in time of the LV volume is calculated such that the flow rate through the valve is identical in both cases. The dynamics of the BMHV are modelled using fluid-structure interaction (FSI) and only the opening phase of the valve is simulated. The simulations show that although the results for the two cases are similar, differences occur in the leaflet movement. In particular, when using the velocity profile, the leaflets impact the blocking mechanism at their open position with a 25\% larger angular velocity. Therefore, when one wants to simulate the dynamics of such an impact, the upstream boundary condition needs to be chosen carefully.},
  author       = {Annerel, Sebastiaan and Degroote, Joris and Claessens, Tom and Van Ransbeeck, Peter and Segers, Patrick and Verdonck, Pascal and Vierendeels, Jan},
  booktitle    = {Conference proceedings CMBE11},
  editor       = {Nithiarasu, Perumal and L{\"o}hner, Rainald and van Loon, Raoul and Sazonov, Igor and Xie, Xianghua},
  isbn         = {9780956291417},
  keyword      = {FSI,Left-ventricle,Bileaflet Mechanical Heart Valve,Boundary condition},
  language     = {eng},
  location     = {Washington DC, USA},
  pages        = {107--110},
  publisher    = {All American Printing},
  title        = {The influence of the upstream boundary condition in the numerical simulation of the opening of an aortic BMHV},
  url          = {http://www.cs.swan.ac.uk/{\texttildelow}csjason/cmbe2011.pdf},
  year         = {2011},
}