Geodesic
Fluid-kinetic modelling for respiratory aerosols with variable size and temperature
Laurent Boudin1 ; Céline Grandmont2 ; Bérénice Grec3 ; Sébastien Martin3 ; Amina Mecherbet4 ; Frédérique Noël5
1 Sorbonne Université, Université Paris-Diderot SPC, CNRS, Inria, Laboratoire Jacques-Louis Lions, équipe REO, F-75005 Paris, France
2 Inria, Sorbonne Université, Université Paris-Diderot SPC, CNRS, Laboratoire Jacques-Louis Lions, equipe REO, F-75012 Paris, France
3 MAP5, CNRS UMR 8145, Sorbonne Paris Cité, Université Paris Descartes, F-75006 Paris, France
4 IMAG, University of Montpellier, CNRS, Montpellier, France
5 Laboratoire JA Dieudonné, UMR CNRS 7351, Université Côte d’Azur, Nice, France
ESAIM. Proceedings, Tome 67 (2020), pp. 100-119.

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In this paper, we propose a coupled fluid-kinetic model taking into account the radius growth of aerosol particles due to humidity in the respiratory system. We aim to numerically investigate the impact of hygroscopic effects on the particle behaviour. The air flow is described by the incompressible Navier-Stokes equations, and the aerosol by a Vlasov-type equation involving the air humidity and temperature, both quantities satisfying a convection-diffusion equation with a source term. Conservations properties are checked and an explicit time-marching scheme is proposed. Twodimensional numerical simulations in a branched structure show the influence of the particle size variations on the aerosol dynamics.
DOI : 10.1051/proc/202067007

Laurent Boudin 1 ; Céline Grandmont 2 ; Bérénice Grec 3 ; Sébastien Martin 3 ; Amina Mecherbet 4 ; Frédérique Noël 5

1 Sorbonne Université, Université Paris-Diderot SPC, CNRS, Inria, Laboratoire Jacques-Louis Lions, équipe REO, F-75005 Paris, France
2 Inria, Sorbonne Université, Université Paris-Diderot SPC, CNRS, Laboratoire Jacques-Louis Lions, equipe REO, F-75012 Paris, France
3 MAP5, CNRS UMR 8145, Sorbonne Paris Cité, Université Paris Descartes, F-75006 Paris, France
4 IMAG, University of Montpellier, CNRS, Montpellier, France
5 Laboratoire JA Dieudonné, UMR CNRS 7351, Université Côte d’Azur, Nice, France 
@article{EP_2020_67_a7,
     author = {Laurent Boudin and C\'eline Grandmont and B\'er\'enice Grec and S\'ebastien Martin and Amina Mecherbet and Fr\'ed\'erique No\"el},
     title = {Fluid-kinetic modelling for respiratory aerosols with variable size and temperature},
     journal = {ESAIM. Proceedings},
     pages = {100--119},
     publisher = {mathdoc},
     volume = {67},
     year = {2020},
     doi = {10.1051/proc/202067007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/202067007/}
}
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%A Céline Grandmont
%A Bérénice Grec
%A Sébastien Martin
%A Amina Mecherbet
%A Frédérique Noël
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Laurent Boudin; Céline Grandmont; Bérénice Grec; Sébastien Martin; Amina Mecherbet; Frédérique Noël. Fluid-kinetic modelling for respiratory aerosols with variable size and temperature. ESAIM. Proceedings, Tome 67 (2020), pp. 100-119. doi : 10.1051/proc/202067007. http://geodesic.mathdoc.fr/articles/10.1051/proc/202067007/

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