Publikation: Finite element simulation of fluid dynamics and CO2 gas exchange in the alveolar sacs of the human lung
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2018
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Computational and Applied Mathematics. Springer. 2018, 37(5), pp. 6410-6432. ISSN 0101-8205. eISSN 1807-0302. Available under: doi: 10.1007/s40314-018-0692-5
Zusammenfassung
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.
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Fachgebiet (DDC)
510 Mathematik
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Alveolar gas dynamics, Arbitrary Lagrangian–Eulerian (ALE) method, Anisotropic pressure stabilisation, Artificial boundary conditions, Local projection stabilisation, Interior penalty stabilisation
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CAUCHA, Luis J., Stefan FREI, Obidio RUBIO, 2018. Finite element simulation of fluid dynamics and CO2 gas exchange in the alveolar sacs of the human lung. In: Computational and Applied Mathematics. Springer. 2018, 37(5), pp. 6410-6432. ISSN 0101-8205. eISSN 1807-0302. Available under: doi: 10.1007/s40314-018-0692-5BibTex
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doi={10.1007/s40314-018-0692-5},
title={Finite element simulation of fluid dynamics and CO<sub>2</sub> gas exchange in the alveolar sacs of the human lung},
number={5},
volume={37},
issn={0101-8205},
journal={Computational and Applied Mathematics},
pages={6410--6432},
author={Caucha, Luis J. and Frei, Stefan and Rubio, Obidio}
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<dcterms:abstract xml:lang="eng">In this article, we present a numerical framework based on continuum models for the fluid dynamics and the CO<sub>2</sub> 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.</dcterms:abstract>
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