Computational fluid dynamics of the heart: from integrated models to blood flows in the left ventricle and aortic valve
The simulation of the blood flow in the heart represents a challenging task from both the mathematical and numerical modeling points of view. This is due to the strong interaction of the different heart components, the variability of the blood flow regimes occurring during the heartbeat, and the interaction with the valves. Specifically, the blood flow in the left ventricle is determined and characterized by the muscle contraction and relaxation, as well as by its interaction with the mitral and aortic valves.
In this talk, we discuss the mathematical and numerical aspects of integrated heart models, including the electrophysiology and mechanical activation of the left ventricle, with the focus being on the numerical modeling of the fluid dynamics. Specifically, we simulate the blood flow in idealized left ventricles for which we model the mitral and heart valves as mixed time varying boundary conditions of the Navier-Stokes equations, weakly enforced at the discrete level by means of the extended Nitsche’s method. Also, we present a reduced 3D-0D model for the simulation of the blood flow through the aortic valve, which is based on moving resistive immersed implicit surfaces; finally, we discuss the numerical results obtained for a patient-specific aortic valve model.
11:00 a.m. to 12:00 p.m., Inria of Paris reseach center, building C, Jacques-Louis Lions lecture hall. Coffee from 10:45 a.m.
