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Numerical modelling of the respiratory system.

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The mechanical part of the lungs can then be seen as a tree-like domain (conducting airways) embedded in an elastic medium. The flow in the upper part is inertial (incompressible Navier-Stokes equations), whereas inertia can be neglected for deeper branches, which allows to use Poiseuille’s law for each branch, and consequently discrete Darcy equations on the corresponding subtrees.

We shall present how the decomposition of the overall system onto those bricks based on different models can be carried out in terms of modeling and numerics, and how it allows to obtain realistic simulations of the ventilation process in the lungs at reasonable cost.

This talk is part of the Institute for Energy and Environmental Flows (IEEF) series.

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