Volume 14, 2005CEMRACS 2004 - Mathematics and applications to biology and medicine
|Page(s)||201 - 212|
|Published online||23 September 2005|
Outlet Dissipative conditions for air flow in the bronchial tree
Laboratoire de Mathématiques, Université Paris-Sud, Bâtiment 425, 91405 Orsay Cedex, France; .
2 Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, Boîte courrier 187, 75252 Paris Cedex 05, France ; .
Corresponding authors: Bertrand.Maury@math.u-psud.fr Assia.Soualah@math.u-psud.fr firstname.lastname@example.org email@example.com
We propose inflow and outflow boundary conditions to handle the airflow through the upper part of bronchial tree-like domains. This approach is based on a condensation of the part of the domain which is geometrically complex by using the linearity of the flow through a net of ducts with small diameters with respect to the pressure jumps. We show that the boundary conditions we obtain lead to a well-posed problem, and we present some numerical tests where the results with those new conditions are compared with the results obtained by simulating the flow over the full (non-condensed) domain.
Mathematics Subject Classification: 92B05 / 76Z05 / 65M60
Key words: Lungs / Navier-Stokes equations / boundary conditions / Finite Element Method
© EDP Sciences, ESAIM, 2005
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