WIAS Preprint No. 2149, (2015)

A reduced-order modeling for efficient design study of artificial valve in enlarged ventricular outflow tracts


  • Caiazzo, Alfonso
    ORCID: 0000-0002-7125-8645
  • Guibert, Romain
  • Vignon-Clementel, Irene E.

2010 Mathematics Subject Classification

  • 62Z05 74L15 76Z05


  • Device design, percutaneous pulmonary valve replacement, proper orthogonal decomposition, finite element method, blood flow CFD, repaired Tetralogy of Fallot




A computational approach is proposed for efficient design study of a reducer stent to be percutaneously implanted in enlarged right ventricular outflow tracts (RVOT). The need for such a device is driven by the absence of bovine or artificial valves which could be implanted in these RVOT to replace the absent or incompetent native valve, as is often the case over time after Tetralogy of Fallot repair. Hemodynamics are simulated in the stented RVOT via a reduce order model based on proper orthogonal decomposition (POD), while the artificial valve is modeled as a thin resistive surface. The reduced order model is obtained from the numerical solution on a reference device configuration, then varying the geometrical parameters (diameter) for design purposes. To validate the approach, forces exerted on the valve and on the reducer are monitored, varying with geometrical parameters, and compared with the results of full CFD simulations. Such an approach could also be useful for uncertainty quantification.

Appeared in

  • Comput. Methods Biomech. Biomed. Engin., 19 (2016) pp. 1314--1318.

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