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Fast numerical solutions of patient-specific blood flows in 3D arterial systems

✍ Scribed by Fernando Mut; Romain Aubry; Rainald Löhner; Juan R. Cebral

Publisher
Wiley (John Wiley & Sons)
Year
2010
Tongue
English
Weight
606 KB
Volume
26
Category
Article
ISSN
2040-7939

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✦ Synopsis

Abstract

The study of hemodynamics in arterial models constructed from patient‐specific medical images requires the solution of the incompressible flow equations in geometries characterized by complex branching tubular structures. The main challenge with this kind of geometries is that the convergence rate of the pressure Poisson solver is dominated by the graph depth of the computational grid. This paper presents a deflated preconditioned conjugate gradients (DPCG) algorithm for accelerating the pressure Poisson solver. A subspace deflation technique is used to approximate the lowest eigenvalues along the tubular domains. This methodology was tested with an idealized cylindrical model and three patient‐specific models of cerebral arteries and aneurysms constructed from medical images. For these cases, the number of iterations decreased by up to a factor of 16, while the total CPU time was reduced by up to 4 times when compared with the standard PCG solver. Copyright © 2009 John Wiley & Sons, Ltd.

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