A simplified fluid-structure model for arterial flow. Application to retinal hemodynamics

Matteo Aletti (1) , Jean-Frédéric Gerbeau (1) , Damiano Lombardi (1)

1 REO - Numerical simulation of biological flows

We propose a simplified fluid-structure interaction model for applications in hemodynamics. This work focuses on simulating the blood flow in arteries, but it could be useful in other situations where the wall displacement is small. As in other approaches presented in the literature, our simplified model mainly consists of a fluid problem on a fixed domain, with Robin-like boundary conditions and a first order transpiration. Its main novelty is the presence of fibers in the solid. As an interesting numerical side effect, the presence of fibers makes the model less sensitive than others to strong variations or inaccuracies in the curvatures of the wall. An application to retinal hemodynamics is investigated.

Mots clés: fibers; fluid-structure interaction; blood flow

Domaines: Analyse numérique [math.NA]; Cardiologie et système cardiovasculaire; Biophysique [physics.bio-ph]

Matteo Aletti, Jean-Frédéric Gerbeau, Damiano Lombardi. A simplified fluid-structure model for arterial flow. Application to retinal hemodynamics. Computer Methods in Applied Mechanics and Engineering, 2016, 306, pp.77-94. ⟨10.1016/j.cma.2016.03.044⟩. ⟨hal-01296940⟩