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Modelling and Numerics for Respiratory Aerosols

Published online by Cambridge University Press:  14 September 2015

Laurent Boudin
Affiliation:
Sorbonne Universités, UPMC Univ Paris 06 & CNRS, UMR 7598 LJLL, Paris, F-75005, France Inria, Équipe-projet Reo, BP 105, F-78153 Le Chesnay Cedex, France
Céline Grandmont
Affiliation:
Sorbonne Universités, UPMC Univ Paris 06 & CNRS, UMR 7598 LJLL, Paris, F-75005, France Inria, Équipe-projet Reo, BP 105, F-78153 Le Chesnay Cedex, France
Alexander Lorz*
Affiliation:
Sorbonne Universités, UPMC Univ Paris 06 & CNRS, UMR 7598 LJLL, Paris, F-75005, France Inria, Équipe-projet Mamba, BP 105, F-78153 Le Chesnay Cedex, France
Ayman Moussa
Affiliation:
Sorbonne Universités, UPMC Univ Paris 06 & CNRS, UMR 7598 LJLL, Paris, F-75005, France Inria, Équipe-projet Reo, BP 105, F-78153 Le Chesnay Cedex, France
*
*Corresponding author. Email addresses: laurent.boudin@upmc.fr (L. Boudin), celine.grandmont@inria.fr (C. Grandmont), alexander.lorz@upmc.fr (A. Lorz), ayman.moussa@upmc.fr (A. Moussa)
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Abstract

In this work, we present a model for an aerosol (air/particle mixture) in the respiratory system. It consists of the incompressible Navier-Stokes equations for the air and the Vlasov equation for the particles in a fixed or moving domain, coupled through a drag force. We propose a discretization of the model, investigate stability properties of the numerical code and sensitivity to parameter perturbation. We also focus on the influence of the aerosol on the airflow.

Type
Research Article
Copyright
Copyright © Global-Science Press 2015 

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