Blood flow simulations at different scales: multiscale and multiphysics aspects

English

Séminaire Modèles et Algorithmes Déterministes: EDP-MOISE

24/11/2011 - 11:00 Mme Irène Vignon-Clementel (Inria) Salle 1 - Tour IRMA

Blood flow in the larger arteries and veins is highly three-dimensional. At that level, geometry and boundary conditions are its main drivers and must be modeled with care. We will illustrate these points through examples of congenital heart disease repairs, from clinical data to numerical results. Coupling of more detailed models (3D) with reduced models of the rest of the circulation presents a number of challenges in patient-specific simulations, including numerical instabilities in the presence of backflow. Appropriate numerical methods to address them will be presented. 
At smaller scales, where the geometry of the individual vessels is often not accessible through conventional imaging, a different modeling approach is necessary. We will present a poroelastic model of the heart perfusion, valid under large strain. At an even finer scale, we will describe a simple model of microcirculation which interacts with tumor cells in a multiscale framework