Fractional-step schemes for the coupling of distributed and lumped models in hemodynamics - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles SIAM Journal on Scientific Computing Year : 2013

Fractional-step schemes for the coupling of distributed and lumped models in hemodynamics

Abstract

In three-dimensional (3D) blood flow simulations, lumped parameter models (0D) are often used to model the neglected parts of the downstream circulatory system. We analyze two 3D-0D coupling approaches in which a fractional-step projection scheme is used in the fluid. Our analysis shows that explicit approaches might yield numerical instabilities, particularly in the case of realistic geometries with multiple outlets. We introduce and analyze an implicitly 3D-0D coupled formulation with enhanced stability properties and which requires a negligible additional computational cost. Furthermore, we also address the extension of these methods to fluid-structure interaction problems. The theoretical stability results are confirmed by meaningful numerical experiments in patient specific geometries coming from medical imaging.
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Dates and versions

hal-00690493 , version 1 (23-04-2012)
hal-00690493 , version 2 (06-02-2013)

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Cristobal Bertoglio, Alfonso Caiazzo, Miguel Angel Fernández. Fractional-step schemes for the coupling of distributed and lumped models in hemodynamics. SIAM Journal on Scientific Computing, 2013, 35 (3), pp.551-575. ⟨10.1137/120874412⟩. ⟨hal-00690493v2⟩
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