Geodesic
Outlet Dissipative conditions for air flow in the bronchial tree
B. Maury1 ; N. Meunier2 ; A. Soualah1 ; L. Vial2
1Laboratoire de Mathématiques, Université Paris-Sud, Bâtiment 425, 91405 Orsay Cedex, France; .
2Laboratoire 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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     author = {B. Maury and N. Meunier and A. Soualah and L. Vial},
     title = {Outlet {Dissipative} conditions for air flow in the bronchial tree},
     journal = {ESAIM. Proceedings},
     pages = {201--212},
     year = {2005},
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     doi = {10.1051/proc:2005015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:2005015/}
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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

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