Statistical and probabilistic modeling of a cloud of particles coupled with a turbulent fluid

Ludovic Goudenège; Adam Larat; Julie Llobell; Marc Massot; David Mercier; Olivier Thomine; Aymeric Vié

doi:10.1051/proc/201965401

Ludovic Goudenège ¹ ; Adam Larat ^1,^2,³ ; Julie Llobell ⁴ ; Marc Massot ⁵ ; David Mercier ² ; Olivier Thomine ⁶ ; Aymeric Vié ^1,²

¹Fédération de Mathématiques de CentraleSupélec, CNRS FR-3487, CentraleSupélec, Université Paris-Saclay, 9 rue Joliot Curie, 91190 Gif-sur-Yvette cedex, France
²Laboratoire EM2C, CNRS, CentraleSupélec, Université Paris-Saclay, 3 rue Joliot Curie, 91192 Gif-sur-Yvette cedex, France
³Univ. Grenoble Alpes, CNRS, Grenoble INP, LJK, 38000 Grenoble, France
⁴Université Cˆote d’Azur, Inria, CNRS, LJAD, Parc Valrose, F-06108 Nice, France
⁵CMAP, École Polytechnique, Route de Saclay, 91128 Palaiseau cedex, France
⁶CEA/DEN/DANS, 91191 Gif-sur-Yvette cedex, France

ESAIM. Proceedings, Tome 65 (2019), pp. 401-424

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Résumé

This paper exposes a novel exploratory formalism, the end goal of which is the numerical simulation of the dynamics of a cloud of particles weakly or strongly coupled with a turbulent fluid. Given the large panel of expertise of the list of authors, the content of this paper scans a wide range of connex notions, from the physics of turbulence to the rigorous definition of stochastic processes. Our approach is to develop reduced-order models for the dynamics of both carrying and carried phases which remain consistant within this formalism, and to set up a numerical process to validate these models. The novelties of this paper lie in the gathering of a large panel of mathematical and physical definitions and results within a common framework and an agreed vocabulary (sections 1 and 2), and in some preliminary results and achievements within this context, section 3. While the first three sections have been simplified to the context of a gas field providing that the disperse phase only retrieves energy through drag, the fourth section opens this study to the more complex situation when the disperse phase interacts with the continuous phase as well, in an energy conservative manner. This will allow us to expose the perspectives of the project and to conclude.

DOI : 10.1051/proc/201965401

Affiliations des auteurs :

Ludovic Goudenège ¹ ; Adam Larat ^{1
,

2
,

3} ; Julie Llobell ⁴ ; Marc Massot ⁵ ; David Mercier ² ; Olivier Thomine ⁶ ; Aymeric Vié ^{1
,

2}

¹ Fédération de Mathématiques de CentraleSupélec, CNRS FR-3487, CentraleSupélec, Université Paris-Saclay, 9 rue Joliot Curie, 91190 Gif-sur-Yvette cedex, France
² Laboratoire EM2C, CNRS, CentraleSupélec, Université Paris-Saclay, 3 rue Joliot Curie, 91192 Gif-sur-Yvette cedex, France
³ Univ. Grenoble Alpes, CNRS, Grenoble INP, LJK, 38000 Grenoble, France
⁴ Université Cˆote d’Azur, Inria, CNRS, LJAD, Parc Valrose, F-06108 Nice, France
⁵ CMAP, École Polytechnique, Route de Saclay, 91128 Palaiseau cedex, France
⁶ CEA/DEN/DANS, 91191 Gif-sur-Yvette cedex, France

@article{EP_2019_65_a17,
     author = {Ludovic Gouden\`ege and Adam Larat and Julie Llobell and Marc Massot and David Mercier and Olivier Thomine and Aymeric Vi\'e},
     title = {Statistical and probabilistic modeling of a cloud of particles coupled with a turbulent fluid},
     journal = {ESAIM. Proceedings},
     pages = {401--424},
     year = {2019},
     volume = {65},
     doi = {10.1051/proc/201965401},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201965401/}
}

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AU  - Adam Larat
AU  - Julie Llobell
AU  - Marc Massot
AU  - David Mercier
AU  - Olivier Thomine
AU  - Aymeric Vié
TI  - Statistical and probabilistic modeling of a cloud of particles coupled with a turbulent fluid
JO  - ESAIM. Proceedings
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DO  - 10.1051/proc/201965401
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%A Adam Larat
%A Julie Llobell
%A Marc Massot
%A David Mercier
%A Olivier Thomine
%A Aymeric Vié
%T Statistical and probabilistic modeling of a cloud of particles coupled with a turbulent fluid
%J ESAIM. Proceedings
%D 2019
%P 401-424
%V 65
%U http://geodesic.mathdoc.fr/articles/10.1051/proc/201965401/
%R 10.1051/proc/201965401
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%F EP_2019_65_a17

Ludovic Goudenège; Adam Larat; Julie Llobell; Marc Massot; David Mercier; Olivier Thomine; Aymeric Vié. Statistical and probabilistic modeling of a cloud of particles coupled with a turbulent fluid. ESAIM. Proceedings, Tome 65 (2019), pp. 401-424. doi: 10.1051/proc/201965401

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