Geodesic
Outlet Dissipative conditions for air flow in the bronchial tree
B. Maury1 ; N. Meunier2 ; A. Soualah1 ; L. Vial2
1 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 ; .
ESAIM. Proceedings, Tome 14 (2005), pp. 201-212.

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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. 

DOI : 10.1051/proc:2005015

B. Maury 1 ; N. Meunier 2 ; A. Soualah 1 ; L. Vial 2

1 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 ; . 
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     title = {Outlet {Dissipative} conditions for air flow in the bronchial tree},
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B. Maury; N. Meunier; A. Soualah; L. Vial. Outlet Dissipative conditions for air flow in the bronchial tree. ESAIM. Proceedings, Tome 14 (2005), pp. 201-212. doi : 10.1051/proc:2005015. http://geodesic.mathdoc.fr/articles/10.1051/proc:2005015/

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