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Model reduction techniques for fast blood flow simulation in parametrized geometries.

  • Manzoni A CMCS - Modelling and Scientific Computing, MATHICSE - Mathematics Institute of Computational Science and Engineering, EPFL - Ecole Polytechnique Fédérale de Lausanne, Station 8, CH-1015 Lausanne, Switzerland. andrea.manzoni@epfl.ch.
  • Quarteroni A
  • Rozza G
  • 2014-11-04
Published in:
  • International journal for numerical methods in biomedical engineering. - 2012
Navier-Stokes equations
geometrical and computational reduction
haemodynamics
model reduction
radial basis functions
real-time simulation
reduced basis methods
Algorithms
Carotid Arteries
Computer Simulation
Hemodynamics
Humans
Models, Cardiovascular
Regional Blood Flow
English In this paper, we propose a new model reduction technique aimed at real-time blood flow simulations on a given family of geometrical shapes of arterial vessels. Our approach is based on the combination of a low-dimensional shape parametrization of the computational domain and the reduced basis method to solve the associated parametrized flow equations. We propose a preliminary analysis carried on a set of arterial vessel geometries, described by means of a radial basis functions parametrization. In order to account for patient-specific arterial configurations, we reconstruct the latter by solving a suitable parameter identification problem. Real-time simulation of blood flows are thus performed on each reconstructed parametrized geometry, by means of the reduced basis method. We focus on a family of parametrized carotid artery bifurcations, by modelling blood flows using Navier-Stokes equations and measuring distributed outputs such as viscous energy dissipation or vorticity. The latter are indexes that might be correlated with the assessment of pathological risks. The approach advocated here can be applied to a broad variety of (different) flow problems related with geometry/shape variation, for instance related with shape sensitivity analysis, parametric exploration and shape design.
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  • English
Open access status
green
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https://sonar.ch/global/documents/256149
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