Back to Search Start Over

Finite element simulation of fluid dynamics and CO2 gas exchange in the alveolar sacs of the human lung.

Authors :
Caucha, Luis J.
Frei, Stefan
Rubio, Obidio
Source :
Computational & Applied Mathematics; Nov2018, Vol. 37 Issue 5, p6410-6432, 23p
Publication Year :
2018

Abstract

In this article, we present a numerical framework based on continuum models for the fluid dynamics and the CO2 gas distribution in the alveolar sacs of the human lung during expiration and inspiration, including the gas exchange to the cardiovascular system. We include the expansion and contraction of the geometry by means of the Arbitrary Lagrangian-Eulerian (ALE) method. For discretisation, we use equal-order finite elements in combination with pressure-stabilisation techniques based on local projections or interior penalties. We derive formulations for both techniques that are suitable on arbitrarily anisotropic meshes. These formulations are novel within the ALE method. Moreover, we investigate the effect of different boundary conditions, that vary between inspiration and expiration. We present numerical results on a simplified two-dimensional alveolar sac geometry and investigate the influence of the pressure stabilisations as well as the boundary conditions. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01018205
Volume :
37
Issue :
5
Database :
Complementary Index
Journal :
Computational & Applied Mathematics
Publication Type :
Academic Journal
Accession number :
133509315
Full Text :
https://doi.org/10.1007/s40314-018-0692-5