Fluid-particles flows: a thin spray model with energy exchanges

Laurent Boudin 1, 2 Benjamin Boutin 1, 3 Bruno Fornet 4 Thierry Goudon 5, 6 Pauline Lafitte 5, 6 Frédéric Lagoutière 1, 6 Benoit Merlet 7
2 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
3 LETR - Laboratoire d'Etudes Thermiques des Réacteurs
DM2S - Département de Modélisation des Systèmes et Structures : DEN/DM2S/SFME/LETR
6 SIMPAF - SImulations and Modeling for PArticles and Fluids
Inria Lille - Nord Europe, LPP - Laboratoire Paul Painlevé - UMR 8524
Abstract : This paper is devoted to an asymptotic analysis of a fluid-particles coupled model, in the bubbling regime. On the theoretical point of view, we extend the analysis done by Carrillo, Goudon and Lafitte for the case of an isentropic gas to the case of an ideal gas, thus adding the internal energy, or temperature, which is unknown. We formally derive the bubbling limit system and propose a numerical scheme to solve this limit system.
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Submitted on : Monday, December 6, 2010 - 5:52:48 AM
Last modification on : Wednesday, May 15, 2019 - 3:49:37 AM

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Laurent Boudin, Benjamin Boutin, Bruno Fornet, Thierry Goudon, Pauline Lafitte, et al.. Fluid-particles flows: a thin spray model with energy exchanges. ESAIM: Proceedings, EDP Sciences, 2009, CEMRACS 2008 - Modelling and Numerical Simulation of Complex Fluids, 28, pp.195-210. ⟨10.1051/proc/2009047⟩. ⟨inria-00543156⟩

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