| Issue |
ESAIM: ProcS
Volume 78, 2025
Sixth Workshop on Compressible Multiphase Flows: Derivation, Closure laws, Thermodynamics
|
|
|---|---|---|
| Page(s) | 144 - 187 | |
| DOI | https://doi.org/10.1051/proc/202578144 | |
| Published online | 10 December 2025 | |
Mathematical justification of a compressible two-phase averaged system for ideal gas without conduction: A semi-discrete approach and numerical illustrations★
1
Université Claude Bernard Lyon 1, ICJ UMR5208, CNRS, École Centrale de Lyon, INSA Lyon, Université Jean Monnet, 69622 Villeurbanne, France
2
LAMA UMR5127 CNRS, UniversitéSavoie Mont Blanc, Le Bourget du lac, France
* e-mail: goninjoubert@math.univ-lyon1.fr
In this paper, we propose a space-discrete approach to compressible Navier-Stokes homog-enization for ideal gaz without heat-conductivity, in dimension 1. This point of view motivates the definition of an efficient moving-mesh numerical scheme, which allows to visualize the homogenization, as well as the closeness of the models with and without conductivity.
Résumé
Dans ce papier, nous proposons une approche semi-discrète pour l’homogénéisation dans les équations de Navier-Stokes compressible pour des gaz parfaits, en l’absence de conductivité thermique et en dimension 1. Ce point de vue motive la définition d’un schéma numérique à mailles mobiles, qui permet d’illustrer l’homogénéisation d’une part, et la proximité du modèle avec celui en présence de conductivité d’autre part.
© EDP Sciences, SMAI 2025
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