Abstract
A numerical framework designed to perform numerical simulations of the blood flow in patient-specific human hearts is presented. The heart cavities and their wall dynamics are extracted from medical images. The flow equations are written on a conformal moving computational domain, using an arbitrary Lagrangian-Eulerian approach. Additional structures (the valves) of the heart are modelled with an immersed boundary method. The resulting equations are solved numerically using a fourth-order finite-volume solver. Application of this framework on a left patient heart is presented as well. Flow dynamics is analysed in order to show the ability of the numerical procedure to reproduce the main fluid phenomena commonly observed in the left heart. The flow is characterised by its transitional nature, resulting in a complex cyclic flow. Development of weak turbulence is observed and analysed, presenting phase-averaged results.
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